Answer: One half is the irreducible fraction resulting from dividing one by two (2) or the fraction ... One half often appears in mathematical equations, recipes, measurements
Step-by-step explanation: For example, if you wish to halve the fraction 5/7, write “* 2” beside the denominator “7.” There is no operation to perform to the numerator. Multiply the denominator by 2 to halve the fraction. Using the same example, 7 * 2 = 14. This means that half of 5/7 is 5/14.
The formula for the area of a triangle is A=1/2bh, where b is the base of the triangle and h is the height of the triangle. The area of the triangular sail of a sailboat is 126ft^2. The base is 12 ft. Find the height of the sail.
(Show steps please)
Answer:
H=21ft
Step-by-step explanation:
Height=2•Area/Base
Area=126ft^2
Base=12ft.
H=2•126/12=21ft
H=21ft
Hope this helps :)
what is point W( 7, -4) reflected over the x-axis
Answer:
(7, 4)
Step-by-step explanation:
In this case, where we reflect W(7, -4) over the x-axis, the x-coordinate of the reflection is the same: 7. But the -4 becomes +4 through this reflection.
Reflected point is (7, 4)
Simplify the expression. (1423 – 2x2 + 3x – 7) – (328 + 142 – 10)
Answer:
-2x^2+3x+956
Step-by-step explanation:
If you want to do math easier, just look up symbolab.com and it will show you the right answers and how to do the problems.
-8 less than a number is no more than 12
Answer:
-8 < x ≤ 12
Step-by-step
-8 less than a number would give you
-8 <
a number no more than 12 would give you
x ≤ 12
giving x because we dont know what the number is-
so your full anser would be-
-8 < x ≤ 12
Definition: An event that is made up of two or more outcomes is called
Example: Rolling a 5 on a die and flipping heads on a coin.
The solution to the equation log2x log2(x â€"" 6) = 4 is x =.
The solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24
The logarithmic equation is given as:
[tex]\mathbf{log_2(x-6) = 4}[/tex]
Apply exponential law of logarithm
[tex]\mathbf{(x-6) = 2^4}[/tex]
Remove the brackets
[tex]\mathbf{x-6 = 2^4}[/tex]
Add 6 to both sides
[tex]\mathbf{x-6 +6= 6+ 2^4}[/tex]
Express 2^4 as 16
[tex]\mathbf{x-6 +6= 6+ 16}[/tex]
Add -6 and 6
[tex]\mathbf{x= 6+ 16}[/tex]
Add 6 and 16
[tex]\mathbf{x= 24}[/tex]
Hence, the solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24
Read more about logarithmic equation at:
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In total there are 53,444 adults at a football match there are 4300 more women then men at the match how many men are at the match
Answer:
There are 24,572 men.
Step-by-step explanation:
Let men = m, let women = w.
m + w = 53,444
w = 4300 + m
m + (4300 + m) = 53,444
m + m + 4300 = 53,444
2m + 4300 = 53,444
2m = 53,444 - 4300
2m = 49144
m = 49144/2
m = 24,572
Simplify the expression 5 (x - 7) + 4x=
help please nfvribwibfvwbifvibbiurw
Answer: A, D, E
Step-by-step explanation:
A cafeteria sells 6 times as many bottles of juice. if the cafeteria sells 750 bottles of water. how many bottles of juice did the cafeteria sell? ANSWER
Answer:
4,500 bottles of juice.Step-by-step explanation:
Clue word: Times means multiplyIf you multiply 750 x 6 you will get 4,500.David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the following: a) If P = 2000, what is A(8)? b) Solve the equation A(t) = 4000 for t. c) What principal P should be invested so that the account balance is $2000 in three years?
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The APR is of 2.25%, hence [tex]r = 0.0225[/tex].No information about the number of compounding per year, hence [tex]n = 1[/tex].Item a:
[tex]P = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}[/tex]
[tex]A(8) = 2389.66[/tex]
Item b:
[tex]A(t) = 4000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}[/tex]
[tex](1.0225)^t = 2[/tex]
[tex]\log{(1.0225)^t} = \log{2}[/tex]
[tex]t\log{1.0225} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.0225}}[/tex]
[tex]t = 31.15[/tex]
Item c:
[tex]A(3) = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}[/tex]
[tex]P = \frac{2000}{(1.0225)^3}[/tex]
[tex]P = 1870.85[/tex]
A similar problem is given at https://brainly.com/question/24850750
Jenny went to the store with $10 and returned home
with 5 gallons of milk and $1.30 in change. What was
the cost of each gallon of milk?
Answer:
The milk is priced at $1.74/gallon
Step-by-step explanation:
If Jenny started out with $10 and ended up with $1.30 in change, she must have spent $10 - $1.30, or $8.70.
$8.70
Then the unit price for the milk is ---------- = $1.74 per gallon
5 gal
What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
your answer to the nearest thousandth.
Answer:
376.991 cm²
Step-by-step explanation:
[tex]SA_{cylinder} = 2\pi r^{2} + 2\pi rh[/tex]
Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
Derive Surface Area of A CylinderIf you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of RS and ST
Answer:
a. RS= 3x + 1 =64
group like teams
3x =64 - 1
3x=63
divide both sides by 3
Ans: RS= 21
b. ST= 2x - 2 =64
group like teams
2x= 64-2
2x=62
divide both sides by 2
Ans:ST=31
∆ RS= 21 and ST=31
The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the triangle
The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
The length of the hypotenuse of the triangle is 26 cm.Reasons:
Let x and y represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = 26 cm
Learn more about Pythagoras's theorem here:
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There were 280 members in the ski
club last year. The membership
DECREASED by 25%. How many
total members are in the club now?
Answer:
210
Step-by-step explanation:
25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.
Find the lateral surface area and total surface area of each figure. Only 12 and 13
a purple paint mixture calls for 4 pints of blue paint for every 3 pints of red. how many pints of blue paint do you need,if you use 6 pints of red?
Answer:
You will need 8 pints of blue paint!
Step-by-step explanation:
At the first the problem shows us the purple paint mixture needs 4 pints of blue and 3 pints of red if the red has 6 pints which is doubled you should also double the blue paint! Hope this helps please mark the brainliest it means a lot to me and thanks! <3
Answer:
8 pints
Step-by-step explanation:
The purple paint mixture needs 4 pints of blue and 3 pints of red, and if the red paint has 6 pints that is doubled. You should also double the blue paint.
The explains how the answer is 8
now, this katie girl stop deleting my answer-
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
#2
vertical angles theorem#3
Third angle therom#4
Definition of congruence#5
Reflexive#6
Definition of bisect#7
SASStep-by-step explanation:
Missing reasons:
2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSSA pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.
Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.
Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{11}{4}[/tex]
Tan θ = 2.75
θ = [tex]Tan^{-1}[/tex] 2.75
= 70.0169
θ = [tex]70^{o}[/tex]
Considering triangle formed by the tower and the stake to determine the value of l, we have;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]70^{o}[/tex] = [tex]\frac{23}{l}[/tex]
l = [tex]\frac{23}{Cos 70^{o} }[/tex]
= [tex]\frac{23}{0.3420}[/tex]
l = 67.2515
l = 67 feet
The length of the guy wire is 67 feet.
For more on trigonometric, check: https://brainly.com/question/6459892
if p(x)=x^2+x+1 and q(x)=3x^2-1, find p(7)
Answer:
p(7) = 57
Step-by-step explanation:
Because this is a function, all you have to do is input 7 for x like so:
p(x)=x^2+x+1 ---------------> p(7)=7^2+7+1
so 49 + 8
= 57
Simplify the given equation
5x+2(x-3)=2x-1
A) 7x-3=-2x-1
B) 7x-6=-2x+2
C) 7x-6=-2x-2
Answer: B) 7x-6=-2x+2
Step-by-step explanation:
a=0.5 b=-6
work out ab-b
Answer:
a = 0.5
b = 6
ab - b
= 0.5 × 6 - 6
= 3 - 6
= -3
Hope it helps:)
I NEED HELP WITH QUESTION 2 ONLY (GIVING BRAINIEST) 50 points
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. ANSWER: 6 (incorrect solution)
Steps:
Calculation: 5(6 - 3) = 6 + 13
Multiplication: 5 x 3 = 19
Checking the equality: 15 + 19
So there for the solution is not 6
2. Simplify both sides. Show your work.
3. Is x = 6 a solution to the equation? Why or why not? ANSWER: 6 is not the solution
Solving for x:
5(x – 3) = x + 13
5x - 15 = x + 13
5x - x = 13 + 15
4x = 28
x = 28/4
x = 7
Answer:
5x-15=x+13
Step-by-step explanation:
I don't know which equation you want me to simplify, so I assume it is, 5(x – 3) = x + 13?
15 points for anwser
Determine whether each expression is equivalent to x^(7/4).
Expression Yes No
√(7&x^4 )
∜(x^7 )
(∜x)^7
√(x^(7/4) )
∜(x^5 )∙∜(x^2 )
√(5&x^4 )∙√(2&x^4 )
(∜x)^7/(√x)^0
Help.
Answer:
Step-by-step explanation:
A recipe calls for 12 ½ cups of oats. If two times the recipe needs to be made, what amount of oats will be required?
It takes Billy 40 minutes to drive to his friend's house at his normal speed but it takes two hours if he drives 20 mph slower how far away is Billy's friend's house. How far does his friend live?
Answer:
20 miles
Step-by-step explanation:
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a magnitude of StartRoot 61 EndRoot.Complete the statements describing the vector. The y-coordinate of the vector to the nearest tenth is . The direction angle to the nearest whole number is °.
a.
The y-coordinate of the vector with its terminal point in the second quadrant is 6.
The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.
Since r = √61 and r = √(x² + y²)
Making y subject of the formula, we have
y = √(r² - x²)
Substituting the values of the variables into the equation, we have
y = √((√61)² - (-5)²)
y = √(61 - 25)
y = ±√36
y = ±6
Since r is in the second quadrant, its y-coordinate is positive.
So, y = 6
So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.
b.
The direction angle of the vector with its terminal point in the second quadrant is 130°
The direction angle of the vector is gotten from tanФ = y/x
Subsstituting x and y into the equation, we have
tanФ = y/x
tanФ = 6/-5
tanФ = -1.2
tan(180° - Ф) = 1.2
Taking inverse tan of both sides, we have
180° - Ф = tan⁻¹(1.2)
180° - Ф = 50.2°
Ф = 180° - 50.2°
Ф = 129.8°
Ф ≅ 130° to the neares whole number
The direction angle of the vector with its terminal point in the second quadrant is 130°.
Learn more about vectors here:
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Answer:
first one is 6.0 and the second is 130
Step-by-step explanation:
Find the equation of the line
Answer:
6,0 10,4
Step-by-step explanation:
find the y Axis and then the x Axis
Use the graph to determine which statement describes f(x).
5.
y=f(x)
-5
5
--5
O A. f(x) does not have an inverse function, because its graph fails the
vertical line test.
O B. f(x) does not have an inverse function, because its graph fails the
horizontal line test.
c. f(x) has an inverse function, because its graph passes the
horizontal line test.
