Answer:
r = 110
Step-by-step explanation:
We can see that we have a polygon that has 6 sides. So we can use the formula [tex]S = (n-2) * 180[/tex] to get the answer to create our algebraic equation, n being the number of sides of the polygon.
[tex]S=(6-2) * 180[/tex]
Solve
[tex]4*180[/tex]
[tex]s=720[/tex]
Now that we have our number, we just have to create an algebraic equation to solve for r
[tex]r+110+150+115+130+105=720[/tex]
Add like terms
[tex]r+610=720[/tex]
Subtract 610 on both sides
[tex]r=110[/tex]
To check our work, we can add all of our angle measurements together.
[tex]110+110+150+115+130+105=720[/tex]
Because this equals 720, we know for sure r = 110.
help Xo im playing prodigy☠
The result of the multiplication of -5.6 and -4/2 is given as follows:
11.2.
How to obtain the result of the multiplication?The multiplication operation for this problem is defined as follows:
-5.6 x -4/2.
A multiplication operation and a division operation have the same precedence, hence we can simplify the division as follows:
-4/2 = -2. (fraction is equivalent to a division operation).
Considering the simplified quotient, the multiplication is given as follows:
-5.6 x (-2)
As two terms with the same signal are multiplied, the product is positive, 5.6 x 2 = 11.2, hence the product is given as follows:
-5.6 x (-2) = 11.2.
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Why Did The Coffee Taste Like Mud?
Answer:
Step-by-step explanation:
If the coffee tastes like mud, it may be due to several reasons:
Overbrewing: If the coffee is brewed for too long or with too much coffee grounds, it can result in a bitter taste, and it may have a muddy texture.
Dirty equipment: Dirty coffee makers or dirty coffee cups can cause the coffee to taste like mud. Residual coffee oils, grounds, or bacteria can create an unpleasant taste.
Old coffee beans: Coffee beans that have been stored for too long or have expired can lose their flavor, making the coffee taste stale and muddy.
Poor quality water: The quality of water used to brew coffee can significantly affect its taste. Hard water, which has high mineral content, can give the coffee a muddy taste.
Poor quality coffee beans: Using low-quality coffee beans can result in a muddy taste. Coffee beans that are not roasted correctly or not freshly roasted can also create an unpleasant taste.
Ground coffee storage: If the ground coffee is not stored correctly, it can absorb moisture and other flavors in the air, resulting in a muddy taste.
To avoid a muddy taste in coffee, it is essential to use high-quality beans, grind the beans freshly, use clean equipment, and follow the proper brewing instructions. By doing so, one can enjoy a flavorful and satisfying cup of coffee.
8. How many right angles do you make if you start facing:
(a) South and turn anti-clockwise to east? (b) East and turn clockwise to east?
(c) West and turn clock wise to south?
Answer:
Step-by-step explanation:
(a) If you face south and turn anti-clockwise to east, you'd have turned a right angle ( one 90° turn).
(b) If you turn clockwise from east to east again, you'd have completed a revolution or 360° (or 4 right angles)
(c) From west clockwise to south, you'd have turned 90° to north, another 90° to east and 90° to south making 3 right angles or 270°.
Hope these help! :)
5r²+3
4r²-6r+1
7r-8
What is the perimeter of the triangle of the triangle shown
Answer: First Choice. 9r² + r -4
Step-by-step explanation:
Given information
Side 1 = 5r²+3
Side 2 = 4r²-6r+1
Side 3 = 7r-8
Formula for the perimeter of the triangle
Perimeter = Side 1 + Side 2 + Side 3
Substitute values into the formula
Perimeter = (5r² + 3) + (4r² - 6r + 1) + (7r - 8)
Simplify the expression
Perimeter = 5r² + 4r² + 7r - 6r + 3 + 1 - 8
Perimeter = 9r² + r + 4 - 8
Perimeter = [tex]\Large\boxed{9r^2+r-4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the slope for the equation y=9x+520
Answer:
The slope is 9.
Step-by-step explanation:
This equation is written in slope intercept form, [tex]y=mx+b[/tex] where m is the slope and b is the y intercept. Based on this equation, the slope is [tex]\frac{9}{1}[/tex] which is simplified to 9.
what is 64 cube root
The cube root of 64 is 4, which is the value that, when multiplied by itself three times, equals 64.
The cube root of a number is the value that, when multiplied by itself three times, equals the original number. In the case of 64, the cube root is 4, because 4 multiplied by itself three times equals 64:
4 × 4 × 4 = 64
This can also be written using the cube root symbol (∛), as follows:
∛64 = 4
The cube root is an important mathematical operation used in a variety of fields, including engineering, physics, and finance. It is also used in everyday life, such as when calculating the dimensions of boxes or when determining the amount of material needed for a construction project.
It's important to note that the cube root is just one of several types of roots that can be taken of a number, including the square root (which is the value that, when multiplied by itself twice, equals the original number) and higher-order roots such as the fourth or fifth root.
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Addition and subtraction of monomials
1) -3^5 + 2x^4 - 7x^2 + 8x + 9 + 5x^4 - 8x^3 + 10x^2 - 3x + 4
2) 9x^5 + 3x^2 - 6 + 2x^4 + 5x^3 - 4x^2
3) 3x^2 - 6 - 4x^2 + 7x^2 - 4x+11
4) -2x^2 + 10x^2 - 3x - 4x + 11
5) -19a + 7b - 8c + 5a - 32b + 23c - 22a + 5b - 20c
(PS: The ^ means that the number to the right of it is an exponent)
Answer:
1) -3^5 + 7x^4 - 15x^2 + 8x + 13
2) 12x^5 + 8x^3 - 2x^2 + 3
3) 9x^2 - 4x + 11
4) 8x^2 + 6x + 11
5) -32a + 12b - 3c
-3^5 + 2x^4 - 7x^2 + 8x + 9 + 5x^4 - 8x^3 + 10x^2 - 3x + 4
Combining like terms, we get:
-243 + 7x^4 - 8x^3 + 3x^2 + 5x + 13
9x^5 + 3x^2 - 6 + 2x^4 + 5x^3 - 4x^2
Combining like terms, we get:
9x^5 + 2x^4 + 5x^3 - x^2 - 6
3x^2 - 6 - 4x^2 + 7x^2 - 4x+11
Combining like terms, we get:
6x^2 - 4x + 5
-2x^2 + 10x^2 - 3x - 4x + 11
Combining like terms, we get:
8x^2 - 7x + 11
-19a + 7b - 8c + 5a - 32b + 23c - 22a + 5b - 20c
Combining like terms, we get:
-36a - 25b - 5c
CALCULATE THE LENGTHS OF THE SIDE GJ AND SIDE HJ
answer options for both
6.5
9.2
84.5
Answer:
GJ=6.5, JH=9.2
Step-by-step explanation:
What is 75 cm in inches?
The length of 75cm converting to inches is 29.53 inches.
The inch is a unit of length commonly used in the United States, the United Kingdom, and some other countries. It can be calculated by using the conversion factor of 1 inch being equal to 2.54 centimeters.
Understanding conversions between different units of measurement is crucial in various fields such as science, engineering, and mathematics. Therefore, to convert centimeters to inches, we need to divide the number of centimeters by 2.54.
In this case, 75 cm divided by 2.54 results in 29.53 inches.
The length of 75 cm is equivalent to approximately 29.53 inches.
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pls help me
probability
(i) 61/2000
(ii) 9/2
(iii) 261/400
Total no. of drivers = 2000
(i) exactly 3 accidents (18-29 years of age)
[ P(E)= no. of favourable outcomes/total no.of Outcomes]
P(E) = 61/2000
(ii) one or more accidents in a year (30-50 years of age )
= 125 +60 + 22 + 18
= 225
P( E) = 225/ 2000
= 9/2
(iii) having no accidents in one year
= 440 +505 +360
= 1305
P(E) = 1305/2000
=261/400
hope it helps
- Creativexcolours
Solve the following equation for A.
-BA+g² = MA
Answer: To solve for A in the equation -BA + g² = MA, we can start by isolating the A variable on one side of the equation.
We can start by adding BA to both sides of the equation:
-BA + BA + g² = MA + BA
Simplifying the left side by cancelling the -BA and +BA terms:
g² = MA + BA
Next, we can factor out the A variable from the right side:
g² = A(M + B)
Finally, we can divide both sides by (M + B) to isolate the A variable:
g² / (M + B) = A
So the solution for A is:
A = g² / (M + B)
Step-by-step explanation:
which out of these 3 is ratios equivalent to 6:2
24:8 9:1 2:6
Answer:
24 : 8
Step-by-step explanation:
24/4 is equal to 6
8/4 is equal to 2
Answer:
24:8
Step-by-step explanation:
The easiest way to do these kinds of problems is by doing some simple division. Usually you only need to look at the first number, which in this case is 6, and see if any numbers can be divided by this number. The first ratio is 24:8, and since the other first number can't be divisible by 6, we know the answer is 24:8
The formula below, Newton's law of cooling, allows us to calculate the temperature of an object as it cools.
T = R + (T0 − R)e-kt
T = temperature of the object after t minutes
T0 = initial temperature
R = temperature of the surroundings
k = cooling rate (depends on the object and conditions)
Suppose the temperature in Denver, Colorado was 55°F when a 5°F arctic cold front moved over the state. Using k = 0.012, how long would it take a puddle of water to freeze? (Recall that water freezes at 32°F.)
With the stated cooling rate of k = 0.012, it follows that the puddle of water would ice in the arctic cold front in roughly 97.8 minutes
Simply put, what is temperature?The oscillation of a substance's components is measured by its temperature. When something is hot, it indicates that its components move relatively quickly on average. Despite having a high temperature, a substance's heat capacity is very low because it has a small number of light elements.
We can use the Newton's law of cooling formula to solve this problem.
[tex]T = R + ( To - R ) \times e ^{(-kt )}[/tex]
Let's assume that the initial temperature of the water is 55°F and the temperature of the surroundings is 5°F (due to the arctic cold front).
We are looking for the time it takes for the water to cool down to 32°F (the freezing point of water).
Therefore, we have:
T = 32°F
T0 = 55°F
R = 5°F
k = 0.012
Substituting these values into the formula, we get:
[tex]32 = 5 + (55 - 5) \times e^{(-0.012t)}[/tex]
Simplifying the equation, we get:
[tex]27 = 50 \times e^{(-0.012t)}[/tex]
Dividing both sides by 50, we get:
[tex]0.54 = e^{(-0.012t)}[/tex]
Taking the natural logarithm of both sides, we get:
ln(0.54) = -0.012t
Solving for t, we get:
t = ln(0.54) / (-0.012)
t ≈ 97.8 minutes
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Solve the inequality. Give the solution set in both interval and graph forms; -8≤x+1<15
The solution of the inequality is:
-9 ≤ x < 14
And the graph can be seen on the image at the end.
How to solve the inequality?Here we want to solve the inequality:
-8 ≤ x + 1 < 15
To solve this, we need to isolate the variable, if we subtract 1 un all the parts we will get.
-8 - 1 ≤ x< 15 - 1
-9 ≤ x < 14
To graph this we need to draw a closed circle at x = -9 and a line that extends to the right, until it ends at an open cirlce at x = 14.
The graph is below.
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What is the conversion of 190 lb to kg ?
Answer:
86.1825503
Step-by-step explanation:
190lbs to kg is 86.1825503
What is the conversion of 125 mm to inches ?
The value of millimeter in inches can be calculated by simply dividing the millimeter by 25.4 so 125 mm is 4.921 inches.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
Converting from millimetres to inches
Between millimetres (mm) and inches (in)
Calculation of Inches (dec) in Inches (frac) in Feet plus Inches ft mm to inches
* The value is rounded to the nearest 1/64 fraction for the inches fraction.
How to change metric units to inches
Inches are equal to 0.03937007874 millimetres in length:
1mm = (1/25.4)″ = 0.03937007874″
The distance d in millimetres (mm) divided by 25.4 gives the distance d in inches (′′):
d(″) = d(mm) / 25.4
Example of 20 mm converted to inches:
d(″) = 125mm / 25.4 = 4.92126″
How many millimetres are in one inch
0.03937 inches are equal to one millimetre:
1mm is equal to 1mm / 25.4mm/in = 0.03937in.
What is the millimetre to inch conversion
25.4 millimetres make up one inch.
1 inch Equals 25.4 millimetres per inch.
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need help pls
i cant solve this
Answer:
11.2 units
Step-by-step explanation:
To find the distance between two points, you will need to use the distance formula: [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex] where [tex]x_{1} = -2, y_{1} = 8, x_{2} = 3, y_{2} = -2[/tex]
Plugging the numbers in, we get:
[tex]\sqrt{(3-(-2))^{2}+(-2-8)^{2}}[/tex]
Which we can simplify to:
[tex]\sqrt{(5)^{2}+(-10)^{2}}[/tex]
Squaring both numbers, we get:
[tex]\sqrt{25+100}[/tex]
Adding the numbers together, we get:
[tex]\sqrt{125}[/tex]
Which can be simplified to:
[tex]5\sqrt{5}[/tex] or 11.18033989, and rounding to the nearest tenth we'd get 11.2.
Therefore, the distance between the points (-2, 8) and (3, -2) is 11.2 units.
The bagel shop sold 312 bagels and earned $280.80. What was the price for each bagel?
The price of each bagel sold when 312 bagels are sold and $280.80 earned is $ 0.9.
What is Division ?One of the four basic mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.
The number of bagels sold = 312
The total money earned by selling 312 bagels = $ 280 . 80
The price for each bagel,
[tex]=\frac{total money earned}{number of bagels sold} \\\\=\frac{280.80}{312} \\\\=$0.9[/tex]
So, the price of each bagel sold is $ 0.9.
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what is foci of ellipse calculator?
An ellipse's form is determined by two locations inside the ellipse known as its foci.
The lengths of the main and minor axes of an ellipse may be used to calculate its foci.
The foci of an ellipse may be calculated using a variety of online calculators.
These calculators normally ask the user to enter the main and minor ellipse axes' lengths before calculating the foci's coordinates. Depending on the calculator in question, some may additionally ask for more details like the ellipse's eccentricity or center of rotation.
Understanding an ellipse's shape and characteristics requires knowing its foci since they are what characterize an ellipse.
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I’m giving 40 points
four times the sum of a number and 23 is at least 18. Write as an inequality.
Answer:
4x=>-74
Step-by-step explanation:
x+23=>18
4(x+23)=>18
4x+92=>18
collect like terms
4x=>18-92
4x=>-74
Answer is 4 (x + 23 ) ≥ 18
Step by step
4 times the sum of a number and 23
4(x + 23)
Is at least 18
≥ 18
Your inequality
4 (x + 23 ) ≥ 18
to solve, distribute
4x + 92 ≥ 18
subtract 92 from both sides
4x + 92 - 92 ≥ 18 - 92
simplify
4x ≥ -74
divide both sides by 4 to solve for x
4/4 x ≥ -74/4
x ≥ 18.5
18.5 is equal to or greater than 18 so problem solved
** We used ≥ in this inequality which means at least (equal to) this number or greater
The graph of f(x)=x² was translated 6 units to the left to create the graph of function g. Write an equation in vertex form to represent function g.
The vertex form of a quadratic function is given by:
f(x) = a(x - h)^2 + k
where (h, k) is the vertex of the parabola.
Since the graph of f(x) = x^2 was translated 6 units to the left to create the graph of g, the vertex of g is at the point (h - 6, k).
The vertex of f(x) = x^2 is at (0, 0), so the vertex of g is at (-6, 0).
Since the vertex is at (-6, 0), the equation of g in vertex form is:
g(x) = a(x + 6)^2 + 0
We can find the value of "a" by using another point on the parabola. For example, if we know that g(-3) = 9, then we can substitute these values into the equation and solve for "a":
9 = a(-3 + 6)^2
9 = 9a
a = 1
So the equation of g in vertex form is:
g(x) = (x + 6)^2
Two trains, Train A and Train B, weigh a total of 225 tons. Train A is heavier than Train B. The difference of their weights is 27 tons. What is the weight of each train?
Based on an equation, the weight of each train is as follows:
Train A = 126 tonsTrain B = 99 tons.What is an equation?An equation is an algebraic statement of the equality of two or more mathematical expressions.
An equation uses the equation symbol (=) to differentiate it from a mathematical expression that combines values, variables, constants, and numbers with mathematical operands.
The total weight of Train A and Train B = 225 tons
Let the weight of Train B = x tons
Let the weight of Train A = x + 27 tons
2x + 27 = 225
2x = 198
x = 99
Train A = 126 tons (99 + 27)
Train B = 99 tons
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Resuelve el siguiente SUDOKU., porfa
De acuerdo con la información previa, el sudoku se completaría con los números como se muestra en la imagen anexada.
¿Cómo completar un Sudoku?Un sudoku es un juego numérico en el que tenemos 9 cuadrículas de 3 x 3 cuadros en los que tenemos que ubicar los números de 1 al 9 sin que se repitan en columnas, filas o en el mismo cuadro de 9 cuadrículas. Este juego se asocia con un buen nivel de análisis matemático. Adicionalmente, para solucionar un juego de Sudoku debemos analizar los números que ya están puestos en él como pistas para ubicar el resto de números.
De acuerdo con lo anterior, el Sudoku de la imagen muestra cómo se completó correctamente. En él ningún número se repite en filas, columnas o cuadrículas.
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FIND THE LENGTH OF SEGMENT BD. ROUND TO THE NEAREST TENTHS PLACE HELP
Answer:
BD = 2.4
Step-by-step explanation:
see your other posting for details explanation
Express the following in the simplest form 1575:1190 answer
Express the following in the simplest form 1575:1190
Answer:
45:34
Step-by-step explanation:
1575:1190
Divide both numbers by 35:
45:34
What is the conversion of 132 lbs to kg ?
Answer:
59.8741928
Step-by-step explanation:
132lbs to kg is 59.8741928
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 20
pizzas in all, 30% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?
mushroom pizzas
pls help will give brainliest and 100 points
Suppose you roll a pair of number cubes twice. What is the probability of rolling a sum greater than 10 on both rolls?
There are 36 possible outcomes when rolling a pair of number cubes. To find the probability of rolling a sum greater than 10 on both rolls, we can start by listing all the outcomes where the sum of the first roll and second roll is greater than 10:
5 + 6 = 11
6 + 5 = 11
6 + 6 = 12
There are 3 ways to get a sum greater than 10. Since we are rolling the pair of number cubes twice, there are a total of 36 x 36 = 1,296 possible outcomes. The probability of rolling a sum greater than 10 on both rolls is therefore 3/1,296, which simplifies to 1/432.
how to convert 0.9375 as a fraction?
The value 0.9375 as a fraction is 15/16 .
In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.
Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations
to convert in fraction we will muliply and devide by 100.
0.9375*100/100 = 15/16
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