The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters, what is the height?
Answers
Answer:
7 cmStep-by-step explanation:
Given:Volume of a rectangular prism ( V ) = 504 [tex]\sf{ cm^{3} }[/tex]
Length of a rectangular prism ( l ) = 9 cm
Width of a rectangular prism ( w ) = 8 cm
To find:Height of a rectangular prism ( h ) = ?
Volume of a rectangle = lwh[tex]\dashrightarrow[/tex] 504 = 9 * 8 * h
[tex]\dashrightarrow[/tex] 504 = 72 h
[tex]\dashrightarrow[/tex] 72h = 504
[tex]\dashrightarrow[/tex] h = [tex]\frac{504}{72}[/tex]
[tex]\dashrightarrow[/tex] h = 7 cm
The height of a rectangular prism is 7 cm.
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The height is 7 cm of the rectangular prism whose volume is 504 cm³.
What is a rectangular prism?A rectangular prism is a solid three-dimensional structure with six faces and rectangular bases. A rectangular prism is also a cuboid. A cuboid and a rectangular prism have the same cross-section.
Given, The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters.
From the general formula of the rectangular prism
Volume = length *width *height
Substituting the data given above
504 = 9 * 8 * height
Height = 7 cm
Therefore, the Height of the rectangular prism is 7 cm.
Learn more about rectangular prism here:
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Answer: -24
Step-by-step explanation: Convert the decimal into a fraction. Use -a/b=a/-b=-a/-b, to rewrite the fraction. Simplfy the complex fraction. Multiply both sides of the equation by 6. Move constant to the right-hand side and change its sign. Add the numbers Divide both side of the equation by -5 and you get -24.
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A factory manufactures 7.1x10⁵ bottles of ketchup per month. How many bottles are manufactured in a year?
Answers
Answer:
8,520,000
Step-by-step explanation:
hope it help
Step-by-step explanation:
factory manufactures 71*10^5 bottles of ketchup per month.
In a year:
71*10^5*12=71*12*10^5=852*10^5=852*100000=
85200000 bottles of ketchup in a year.
Find the missing side lengths.
Answers
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y=-0.02(x-18)^2+12, where x is the ball's horizontal distance in feet from Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum height? Explain. b. Describe how you would find the ball's height when it crosses the net at x=30. a. How far away is the ball from Amaya when it is at its maximum height? Explain. The ball is nothing ft away from Amaya when it is at its maximum height. Use the ▼ y-coordinate x-coordinate of the vertex.
Answers
Answer:
a) 30feet
b) 9.12feet
Step-by-step explanation:
a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12, where;
x is the ball's horizontal distance in feet from Amaya's position
y is the distance in feet from the ground to the ball.
The ball will be at the maximum height when dy/dx = 0
Differentiate the function:
dy/dx = 2(-0.02)(x-18)^(2-1)+0
dy/dx = -0.04(x-18)
Equate the resulting expression to zero and find x as shown;
-0.04(x-18) = 0
Open the parentheses
-0.04x+0.04(18) = 0
-0.04x+0.72 =0
-0.04x = -0.72
x = -0.72/-0.04
x = 18ft
Hence the ball is 18ft away from Amaya when it is at its maximum height
b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:
y=-0.02(x-18)²+12
y = -0.02(30-18)²+12
y= -0.02(12)²+12
y = -0.02(144)+12
y = -2.88+12
y = 9.12 feet
Hence the Ball's height is 9.12feet when it crosses the net at x = 30.
Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25. What equation represents y, the total amount of money Lucy’s mother will donate if Lucy walks x miles during the event?
A. y = 25x + 7.50
B. y = 7.50x + 25
C. 25 = 7.50x + y
D. 7.50 = y + 25x
Answers
B. y = 7.50x + 25
Hope it helps :)
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Answer: 3,4
Step-by-step explanation:
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What is 8,187 divided by 24 (not resulting in a decimal number)?
Answers
Answer:
8,187 divided by 24 is 341.125
Step-by-step explanation:
i hope this helps!
Answer:
The answer is 341.125.
But, if you want it without a decimal, you need to round.
You round up if the first number right of the decimal is over 5 or 5, and down if the first number to the right of the decimal is under 5.
Since the first number to the right of the decimal is 1, it is under 5.
So we round down.
So it would be 341.
The answer without a decimal is 341.
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Answer:
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Question: Two years ago, my age was four times the age of my son, eight years ago my age was ten times the age of my son find the age of my son now This question has already been explained by my friend, but I don't get how she knew she had to get the dad's age in terms of sons age, + 6 to it, and then solve it. Someone please explain
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Answer:
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Step-by-step explanation:
Represent my current age with x and my son's current age with y
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[tex]x - 2 = 4 * (y - 2)[/tex]
Eight years ago:
[tex]x - 8 = 10 * (y - 8)[/tex]
Simplify both expressions
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[tex]x - 2 = 4y - 8[/tex]
Add 2 to both sides
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[tex]x = 4y - 6[/tex]
Substitute 4y - 6 in the second equation
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[tex]x = 38[/tex]
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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A. 3.1 +5 > 26
B. 3.3 +5 < 26
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
....................................???
.....................................???
Answer:
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Step-by-step explanation:
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Andrea receives a $40 gift card to use at a town pool. It costs her $8 per visit to swim. A
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a. Identify a reasonable domain of the function. Explain why you chose that
domain. (What are reasonable times to visit the pool?)
b. Given that domain, what is the range of the function?
Answers
Answer:
The value of the gift card = v = $40
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The number of visits = n
∴ n = the value of the gift card over the cost of one visit to the skate
∴ n = v/8 = 40/8 = 5
Step-by-step explanation:
The general function for relating the value of the gift card, v, in terms if the number of visits, n. ⇒⇒⇒ v = 8n
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Answer:
problem 9
x is 45 and y is 20
problem 10
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