Answer:
3
Step-by-step explanation:
Amplitude is the absolute value of the number in front
3cos(2x) + 5
The sales tax in your city is
4.4
%
4.4%4, point, 4, percent, and an item costs
$
3
$3dollar sign, 3 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
The required, we need to pay $0.132 in tax on the item that cost $3.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
To calculate the amount of tax, we need to multiply the cost of the item by the tax rate. The tax rate is 4.4% or 0.044 as a decimal.
So, the amount of tax on the item is:
0.044 × $3 = $0.132
Therefore, we need to pay $0.132 in tax on the item.
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In each diagram line k is parallel to line l and line t intersects lines k and l.
Based on the diagram complete a true statement about x, by using the answer bank.
Answer:
x = 7.5
m∠EGB = 75°
m∠EGA = 105°
Step-by-step explanation:
According to the Alternate Exterior Angles Theorem, angles EGB and CHF are equivalent. This means we can find x by setting them equal to each other.
10x = 2x + 60 (subtract 2x from both sides)
8x = 60 (divide both sides by 8)
x = 7.5
We can now plug in x to find m∠EGB.
2(7.5) + 60 = 15 + 60 = 75
Therefore, m∠EGB = 75°
As EGB and EGA are supplementary angles, that means that together, they add up to 180°. That means:
75 + EGA = 180 (subtract 75 from both sides)
m∠EGA = 105°
Please help me my grade is suffering and I need slot of these questions to be correct I will try and ward brainliest
The length of ML in the line segment is 35 units.
How to find the line segment ML?The figure below has the following length as follows:
LN = 79 units
Let's find ML in the line segment as follows:
LM + MN = LN
Hence,
LM = 5y - 5
MN = 4y + 12
Therefore,
LN = 5y - 5 + 4y + 12
79 = 5y - 5 + 4y + 12
79 = 9y + 7
79 - 7 = 9y
72 = 9y
divide both sides by 9
y = 72 / 9
y = 8
Therefore,
ML = 5(8) -5
ML = 40 - 5
ML = 35 units
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Ann had a total of 285 red and blue beads. She used 45 red beads and 40% of the blue bead. After that,the ratio of the number of red beads to blue beads Ann had was 1:3.
Answer:
Let's start by figuring out how many blue beads Ann had initially.
If Ann had a total of 285 red and blue beads, and she used 45 red beads, then she had 240 blue beads remaining.
If Ann used 40% of the blue beads, then she used:
0.40 x 240 = 96 blue beads
After using 45 red beads and 96 blue beads, Ann had the following number of red and blue beads remaining:
Red beads = 285 - 45 = 240
Blue beads = 240 - 96 = 144
At this point, the ratio of red beads to blue beads is:
Red beads : Blue beads = 240 : 144 = 5 : 3
However, we want the ratio to be 1 : 3. To achieve this ratio, we need to divide both the red beads and blue beads by 5. This gives us:
Red beads = 240 / 5 = 48
Blue beads = 144 / 5 = 28.8
Since we can't have a fraction of a bead, we need to round up the number of blue beads to the nearest whole number. This gives us:
Red beads = 48
Blue beads = 29
Therefore, Ann initially had 285 - 48 - 29 = 208 beads, with 48 red beads and 29 blue beads.
Step-by-step explanation:
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 34 minutes of calls is $14.69 and the monthly cost for 57 minutes is $17.68 . What is the monthly cost for 39 minutes of calls?
The monthly cost for 39 minutes of calls is $15.34.
According to given conditions :We can use the two given data points to form two equations and then solve for the unknown coefficients of the linear function.
Let the monthly cost (in dollars) be denoted by C, and let the total calling time (in minutes) be denoted by T. Then we can write:
C = aT + b
where a is the slope of the line (representing the rate of change of cost per minute of calling time), and b is the y-intercept of the line (representing the fixed monthly cost).
Using the given data points (34, 14.69) and (57, 17.68), we can form the following two equations:
14.69 = 34a + b (equation 1)
17.68 = 57a + b (equation 2)
Subtracting equation 1 from equation 2, we get:
17.68 - 14.69 = 57a - 34a + b - b
2.99 = 23a
a = 2.99/23
a = 0.13 (rounded to two decimal places)
Substituting the value of a into equation 1 (or 2), we get:
14.69 = 34(0.13) + b
b = 14.69 - 4.42
b = 10.27
Therefore, the linear function that represents the monthly cost in terms of total calling time is:
C = 0.13T + 10.27
To find the monthly cost for 39 minutes of calls, we can substitute T = 39 into this function:
C = 0.13(39) + 10.27
C = 5.07 + 10.27
C = $15.34 (rounded to two decimal places)
Therefore, the monthly cost for 39 minutes of calls is $15.34.
What is cost price ?The cost price (CP) is the original price paid to purchase a product or asset. It is the total cost incurred to acquire or produce the item, including all direct and indirect costs such as the cost of raw materials, labor, overhead expenses, transportation, taxes, etc.
The cost price is an important factor in determining the profitability of a business or investment, as it directly affects the profit margin. The profit margin is the difference between the selling price (SP) and the cost price (CP), expressed as a percentage of the cost price.
Profit Margin = (SP - CP) / CP * 100%
For example, if a product is sold for $100 and the cost price is $70, then the profit margin is:
Profit Margin = ($100 - $70) / $70 * 100%
Profit Margin = 30%
This means that for every $1 of cost, the business makes a profit of $0.30. The profit margin can be used to evaluate the efficiency and competitiveness of a business, and to compare the profitability of different products or investments.
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which of the following best describes the conditions under which methodone and methodtwo return the same value? responses
Using Chebyshev's Theorem, considering a standard deviation of 40, we have that at least 75% of the students scored between 360 and 520.
What does Chebyshev’s Theorem state?When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by.
here, we have,
In this problem, considering a standard deviation of 40, we have that:
440 - 2 x 40 = 360.
440 + 2 x 30 = 520.
Within 2 standard deviations of the mean, no information about the distribution, hence, at least 75% of the students scored between 360 and 520.
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A polygraph (lie detector) is said to be 90% reliable in the following sense: There is a 90% chance that a person who is telling the truth will pass the polygraph test; and there is a 90% chance that a person telling a lie will fail the polygraph test. (a) Suppose a population consists of 5% liars. A random person takes a poly- graph test, which concludes that they are lying. What is the probability that they are actually lying? (b) Consider the probability that a person is actually lying given that the poly graph says that they are. Using the definition of reliability, how reliable must the polygraph test be in order that this probability is at least 80%?
a. The probability that they are actually lying is 0.3214. b. The polygraph test must be 98.7% in order that this probability is at least 80%.
What is probability tree diagram?It is simpler to construct and see every possible scenario using the tree diagram. Its two main sites are the ends and the branches of the tree. The probability is written on each branch, and the ends hold the final findings. Use tree diagrams to identify when to multiply and when to add.
The probability of lie = 0.5
The probability of truth = 1 - 0.5 = 0.95
The liars that pass polygraph = 0.10
The liars that fail the polygraph is = 0.90
The truth that pass on polygraph = 0.90
The truth that fails on polygraph = 0.10
a. The probability that they are actually lying is:
P (Lying| fair) = P (fair| Lying) P (lying) / P (fair)
= (0.90)(0.05)/ (0.70)(0.05) + (0.10)(0.95)
= 0.3214
b. P (Lying| fair) > 0. 80
= (x)(0.05)/ (x)(0.05) + (1-x)(0.95) > 0.80
x > 0.987
Hence, the polygraph test must be 98.7% in order that this probability is at least 80%.
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Select the total number of possible permutations.
On a separate piece of paper, draw tree diagrams to show all possible outcomes if you match the letters in box 1 to the numbers in box 2.
The first node in set 1 should represent the element.
For each potential value in set 2, create a branch.
Create a new node to represent the following set 1 element at the end of each branch.
Steps 2-4 must be repeated for each additional Set 1 component.
All potential outcomes are represented by the final nodes.
The appropriate line of best fit for the scatter plot is y hat equals 67 hundredths times x plus 4 and 5 hundredths.
What is number?The number is a mathematical entity used to represent a computer's magnitude it can be a symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three, or eight numbers are used to verify the context including counting measuring and computing.
This line of best fit indicates that the number of households with cable television will increase by 67 hundredths (or 0.67) each year. This line of best fit is based on the data points on the scatter plot, which suggest that the number of households with cable television has been steadily increasing over the years.
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A pair of headphones regularly sells for $116. They are on sale for 15% off. What is the sales price of the headphones? Write just the numerical answer.
Help please
15% of a price of 116 dollars would be a price decrease of $17.40. This means that the price when on sale would be $98.60 as you have to subtract 17.40 from 116.
Type an equation for the
following pattern.
1
2
3
4
5
21/2
9
15/2 y = - x + []
3
?
6
9/2
Enter the number that belongs in the green box. Make sure
the fraction is in simplest form.
y = -3/2 x + 24. is the equation of the line in slope intercept form.
Equation of a line in point slope formThe formula for calculating the equation of a line in point slope form is expressed as:
y - y0 = m(x - x0)
where:
m is the slope
(x0, y0) is the point on the line
Using the coordinate points (2, 9) and (4, 6). The slope is calculated as:
Slope = 6-9/4-2
Slope = -3/2
The required equation will therefore be expressed as:
y - 9 = -3/2(x - 2)
2y - 18 = -3x + 6
2y = -3x + 24
y = -3/2 x + 24
Hence the slope-intercept form of the equation is y = -3/2 x + 24.
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In a school, 60% of the students are senior.
45% of the seniors have school meals.
75% of the juniors have school meals.
What percentage of the students (seniors and juniors) have school meals?
Answer:
57%
Step-by-step explanation:
Let's consider the total number of students as 100%.
60% of all students are senior, which means that the rest (40%) are juniors.
Out of all senior students, 45% have school meals.
To find the percentage of senior students who have school meals, we should do the following:
[tex]\ \frac{45\% \times60\%}{100\%} = 27\%[/tex]
This is the percentage of students who are senior and have school meals.
We need to repeat the same procedure with junior students.
To do that, we need to find the 75% of 40% out of total, which is 100%.
[tex] \frac{75\% \times 40\% }{100\%} = 30\%[/tex]
This is the percentage of junior students who have school meals.
Finally we need to add up the percentages to find the total percentage of students who have school meals.
[tex]27\% + 30\% = 57\%[/tex]
What is the answer to this problem?
3x+6+x-2+8(x-3)+-4-4+x+1+-2(x+2)+6+7x+-8x=?
Answer:
10x -25
Step-by-step explanation:
You want to simplify the expression ...
3x+6+x-2+8(x-3)+-4-4+x+1+-2(x+2)+6+7x+-8x
SimplifyFirst, we use the distributive property to eliminate parentheses:
3x+6+x-2+8x-24+-4-4+x+1+-2x-4+6+7x+-8x
Now, we group x-terms and constant terms:
(3 +1 +8 +1 -2 +7 -8)x +(6 -2 -24 -4 -4 +1 -4 +6)
Finally, we perform the sums:
10x -25
__
Additional comment
This sort of problem can be described as "tedious, but not difficult."
CAN SOMEONE HELP WITH THIS QUESTION?✨
The marginal revenue is 909 dollars per unit.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
R(q) = -2q² + 1000q _____(1)
Where q is the unit sold.
Now,
Substitute q = 91 in (1).
R(q) = -2q² + 1000q
R(q) = -2 x 91² + 1000 x 91
R(q) = -8281 + 91000
R(q) = $82719
Now,
91 units = $82719
1 unit = 82719/91
1 unit = $909
Thus,
909 dollars per unit is the marginal revenue.
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enVision® STEM Of 36 chemical elements, 2 are named for women scientists and 25 are named for places. What fraction of these 36 elements are named for women or places? Show your work.
The fraction of these 36 chemical elements that are named for women or places is 27/36 or by simplifying it, 3/4.
What is the fraction?A fraction is defined as a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers.
Here,
To find the fraction of the 36 chemical elements that are named for women or places, we need to add the number of elements named for women (2) and the number of elements named for places (25), and then divide by the total number of elements (36),
Fraction = (2 + 25) / 36 = 27 / 36
Therefore, the fraction of these 36 chemical elements that are named for women or places is 27/36 or simplify it, 3/4.
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The population of Placerville grew from 4360 a decade ago to 6590 today.
Answer: To find the percent increase in population, I used the following formula:
percent increase = (new value - old value) / old value * 100
In this case, the old value was the population from a decade ago (4360), and the new value was the current population (6590). So plugging these values into the formula, we get:
percent increase = (6590 - 4360) / 4360 * 100
percent increase = 51.38%
So the population of Placerville increased by approximately 51.38% over the past decade. The population of Placerville has increased by (6590 - 4360) = 2230 people over the past decade.
Step-by-step explanation:
I need help graphing this equation
The graph of the piecewise function is attached at the end.
What is piecewise function?A piecewise function is a function that is defined on a sequence of intervals. For example -
[tex]$|x| =\left \{ {{-x\;\;\;\;x < 0} \atop {x\;\;\;\;x > 0}} \right.[/tex]
Given is the piecewise function as -
[tex]$f(x) =\left \{ {{-x-1\;\;\;\;x < 3} \atop {-x+1\;\;\;\;x \geq 3}} \right.[/tex]
Refer to the graph of the piecewise function. The graph of the function is attached. The line one does not include the point {x = 3}. The second line includes the point {x = 3}
Therefore, the graph of the piecewise function is attached at the end.
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Solve this polynomial P(m)= -m+5m²-8m+4m⁵-8m⁰
Answer:
Step-by-step explanation:
To solve the polynomial P(m) = -m + 5m² - 8m + 4m⁵ - 8m⁰, we can simplify the expression by combining like terms:
P(m) = 4m⁵ + 5m² - 9m - 8
Therefore, the simplified form of the polynomial is P(m) = 4m⁵ + 5m² - 9m - 8.
Answer:p=\frac{4m^5+5m^2-9m-8}{m};\quad \:m\ne \:0
Step-by-step explanation:
\frac{3x+3}{9}=\frac{2x+2}{6}
Answer: 6x = 6x. || x is equal to any number.
Step-by-step explanation:
Step 1. 3x + 3 / 9 = 2x + 2 / 6
Step 2. We multiply all terms by the same value to eliminate fraction denominators, then cancel multiplied terms that are in the denominator. After this, distribute. 6x + 6 = 6x + 6
Step 3. Subtract 6 from both sides. 6x (6 - 6) = 6x (6 - 6)
Step 4. Simplify the expression. 6x = 6x
Step 5. x = any number.
26 : 48 : : 82 : ?
(a) 125 (c) 115
(b) 122 (d) 120
Answer:
x is (a) 125.
Step-by-step explanation:
We can solve this proportion by using the property that the ratios of two equal proportions are equal. In other words:
a : b :: c : d if and only if a/b = c/d
Using this property, we can set up the proportion:
26 : 48 :: 82 : x
where x is the unknown term we want to find.
To solve for x, we can cross-multiply the terms in the proportion:
26 * x = 48 * 82
Simplifying the right side of the equation:
26 * x = 3936
Dividing both sides of the equation by 26:
x = 3936/26
x = 152
Therefore, the value of x is 152. However, 152 is not one of the answer choices provided. To choose the closest answer choice, we can round 152 to the nearest value among the answer choices. Rounding 152 to the nearest value, we get:
125: 27 less than 152
122: 30 less than 152
115: 37 less than 152
120: 32 less than 152
The closest value to 152 is 150, which is between 122 and 125. Therefore, the answer closest to the value of x is (a) 125.
the local newspaper has letters to the editor from 40 people
The 800 readers have a newspaper if the local newspaper has letters to the editor for 40 people if this is the number represents 5%.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
The local newspaper has letters to the editor for 40 people if this is the number represents 5% of all the newspaper readers.
Let x be the total number of newspaper readers.
The value of x can be found as follows:
5 % of x = 40
(5/100)x = 40
x = 40/0.05
x = 800
Thus, the 800 readers have a newspaper if the local newspaper has letters to the editor for 40 people if this is the number represents 5%.
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Complete question:
The local newspaper has letters to the editor for 40 people if this is the number represents 5% of all the newspaper readers how many readers does the newspaper have
help my freind on this hw plssss
Therefore, 11/2 + 3/4 expressed as a fraction is 25/4.
What is fraction?A fraction is a number that represents a part of a whole. It is represented as a ratio of two numbers, the numerator and the denominator, separated by a horizontal line. The numerator represents the number of parts, while the denominator represents the total number of parts that make up the whole. Fractions can be expressed in different forms, including proper fractions, improper fractions, and mixed numbers. A proper fraction is a fraction where the numerator is less than the denominator. An improper fraction is a fraction where the numerator is greater than or equal to the denominator. A mixed number is a combination of a whole number and a proper fraction.
Here,
5 1/2+3/4
5 1/2=5*2+1/2
=11/2
11/2+3/4
To add 11/2 and 3/4, we need to find a common denominator. The smallest common multiple of 2 and 4 is 4, so we can rewrite 11/2 as an equivalent fraction with a denominator of 4:
11/2 = (11/2) x (2/2) = 22/4
Now we can add the two fractions:
11/2 + 3/4 = 22/4 + 3/4
To add the two fractions, we add the numerators and keep the same denominator:
= (22 + 3)/4
= 25/4
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Violeta is pulling marbles out of a bag. There are 14 pink marbles and 6 green marbles. Find the probability that Violeta pulls out a green marble.
Answer:
he probability of Violeta pulling out a green marble is 0.3 or 30%.
Step-by-step explanation:
he probability of pulling out a green marble is the number of green marbles divided by the total number of marbles in the bag:
P(green marble) = number of green marbles / total number of marbles
In this case, there are 6 green marbles and 14 pink marbles, so the total number of marbles is:
total number of marbles = 6 + 14 = 20
Therefore, the probability of pulling out a green marble is:
P(green marble) = 6 / 20 = 3/10 = 0.3
So the probability of Violeta pulling out a green marble is 0.3 or 30%.
The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure below, the flat edge of the door mat measures 148 cm and the distance from the center (on the flat edge) to the curved edge is 58 cm. The point P is located 30 cm from the center. Find the distance from P to the curved edge.
To find the distance from point P to the curved edge of the door mat, we can use the formula for an ellipse: (x/a)^2 + (y/b)^2 = 1, where a is the semi-major axis (half the length of the flat edge) and b is the semi-minor axis (half the length of the curved edge).
In this case, a = 148/2 = 74 cm and b = 58 cm. The point P is located 30 cm from the center, so x = 30 cm. We can plug these values into the formula and solve for y:
(30/74)^2 + (y/58)^2 = 1
0.1649 + (y/58)^2 = 1
(y/58)^2 = 0.8351
y^2 = 2805.72
y = sqrt(2805.72)
y = 52.97 cm
Therefore, the distance from point P to the curved edge of the door mat is approximately 52.97 cm.
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How do we simplify
6h\3 when it's not 3 h
Answer:
2h
Step-by-step explanation:
You can still divide 6h by 3 even if its not 3h
Imagine there are 6 h's:
H H H H H H
now divide them by 3:
1 2
HHH HHH
Now you have 2 groups of H so:
2H
A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach? responses 1. 9 feet 1. 9 feet 7. 0 feet 7. 0 feet 12. 7 feet 12. 7 feet 17. 0 feet.
If A 15-foot pole is leaning against a tree and bottom of the pole is 8 feet away from the bottom of the tree. then the top of the pole reaches option (C) 12.7 feet
We can use the Pythagorean theorem to solve this problem. Let's call the height we're trying to find "x". Then, we have a right triangle where the pole is the hypotenuse, the distance from the bottom of the pole to the tree is one leg, and the height we're trying to find is the other leg. Using the Pythagorean theorem, we have:
15^2 = 8^2 + x^2
225 = 64 + x^2
Group the like terms
161 = x^2
x ≈ 12.7 feet
Therefore, the correct option is (c) 12.7 feet
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PLEASE HELP NOW!!!!!!!!!!!!! 50pts!!! BRAINLIEST ANSWER!!!!!!
Figure ABCDE has vertices A(−2, 3), B(2, 3), C(5, −2), D(0, −3), and E(−2, −2). Plot the points on your own coordinate grid and connect the points in alphabetical order. Decompose Figure ABCDE into rectangles and triangles.
Part A: How many triangles and rectangles did you make? (1 point)
Part B: Use Figure ABCDE created on your coordinate grid to find the lengths, in units, of Sides AB and AE. (4 points)
Part C: What is the area of Figure ABCDE? Show your work. (5 points)
Part A: You can decompose Figure ABCDE into two triangles and two rectangles. The two triangles are triangle ABC and triangle AED. The two rectangles are rectangle BCD and rectangle AEB.
Part B: The length of Side AB is 4 units and the length of Side AE is 5 units.
Part C: To find the area of Figure ABCDE, we can simply add the areas of the two triangles and two rectangles. The area of triangle ABC is 3 units2, the area of triangle AED is 6 units2, the area of rectangle BCD is 10 units2, and the area of rectangle AEB is 3 units2. Thus, the area of Figure ABCDE is 3 + 6 + 10 + 3 = 22 units2.
Sketch the region bounded by the following curves and determine the centroid of the region. y = x^2 + 3, y = 3, and x = 1| (3/8, 33/20)| (3/4, 33/10)| (33/10, 3/4)| (33/10, 3/8)| (3/8, 33/10)|
Refer to the attached image.
Solve for the roots in simplest form using the quadratic formula: 4x^2+21=-20x
The roots of the quadratic equation 4x^2 + 21 = -20x in simplest form are x = -1/2 and x = -7/2.
What is quadratic formula ?
The quadratic formula is a standard formula used to solve quadratic equations of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable. It is derived using the method of completing the square and provides a simple way to find the roots (or solutions) of the quadratic equation.
The quadratic formula is:
x = (-b ± √(b^2 - 4ac)) / 2a
Steps to be followed:
To solve the quadratic equation 4x^2 + 21 = -20x using the quadratic formula, we first need to rearrange the equation in standard quadratic form, which is ax^2 + bx + c = 0. In this case, we have:
4x^2 + 20x + 21 = 0
So, we can identify a = 4, b = 20, and c = 21. Now we can substitute these values into the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values of a, b, and c, we get:
x = (-20 ± √(20^2 - 4(4)(21))) / 2(4)
Simplifying the expression under the square root, we get:
x = (-20 ± √(400 - 336)) / 8
x = (-20 ± √64) / 8
x = (-20 ± 8) / 8
This gives us two possible solutions:
x = (-20 + 8) / 8 = -1/2
x = (-20 - 8) / 8 = -7/2
Therefore, the roots of the quadratic equation 4x^2 + 21 = -20x in simplest form are x = -1/2 and x = -7/2.
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A right triangle has a base, b
, that is 6
inches. The area of the triangle, with h
representing the height, is given by the expression
The area of the ENTIRE rectangle would be: Area = Base * Height
I think you can see that the triangle is 1/2 of the rectangle. so the
The area of the right triangle would be: Area = 1/2 * base * height
if the area of the triangle is 18 square inches, then h = 2(18)/6 = 6 inches.
If the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.
What is the triangle?Triangle is a three-sided geometric shape that has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
The area of a right triangle can be found by using the formula A=1/2bh, where b is the base of the triangle and h is the height. In this example, the base, b, is 6 inches. To find the height, h, we can solve the equation for h: h = 2A/b, where A is the area of the triangle.
Therefore, if we know the area of the triangle, A, we can find the height, h, of the triangle by plugging in the values and solving for h. For example, if the area of the triangle is 18 square inches, then h = 2(18)/6 = 6 inches.
The area of a right triangle can be found by using the formula A=1/2bh and plugging in the known values of b and h. In this example, if the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.
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How do i answer this
Answer:
6.21
Step-by-step explanation:
tha ratio 2.97/2.2 has to be the same as x/4.6.
so the new lenght, x, is 4.6×(2.97/2.2)
[tex]\stackrel{ \textit{ratio of (L)ength to (w)idth of old phone} }{\stackrel{L}{2.2}~~ : ~~\stackrel{w}{4.6}\qquad \implies \qquad \cfrac{L}{w}~~ = ~~\cfrac{2.2}{4.6}} \\\\\\ \stackrel{\textit{Length of new phone}}{2.97}\qquad \stackrel{\textit{keeping the same ratio}}{\cfrac{2.97}{w}~~ = ~~\cfrac{2.2}{4.6}} \\\\\\ (2.97)(4.6)=2.2w\implies \cfrac{(2.97)(4.6)}{2.2}=w\implies \stackrel{ new~width }{6.21=w}[/tex]
