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3 years ago

What shape best describes the cross section cut parallel to the base of a right rectangular prism?

2 answers:

6 0

To answer this question, it is enough to find the volume of a rectangular prism.
The volume of a rectangular prism is:
$V = Ab * h
$
Where,
Ab: base area
h: height
The area of the base is:
$Ab = w * l
$
Where,
w: width
l: long
We observe that the area of the base is a rectangle, therefore, the section parallel to the base is also a rectangle.
Answer:
The cross section cut parallel to the base of a right rectangular prism is:
Rectangle

nlexa [21]3 years ago

4 0

<span>The cross section of a rectangular prism is a rectangle. The cross section is the shape that results from cutting straight through a prism.</span>

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dimensions of a building are 740 feet by 800 feet. If 1inch represents 8 feet. What are the dimensions of the building on the dr

nevsk [136]

Answer: 92.5 inches by 100 inches.

Step-by-step explanation:

1. You know that 1 inch represents 8 feet and the dimensions of the building are 740 feet by 800 feet, therefore, you must apply the proccedure shown below:

$\frac{740ft*1in}{8ft}=92,5in$

$\frac{800ft*1in}{8ft}=100in$

2. Then, as you can see, the dimensions of the building on the drawing are 92.5 inches by 100 inches.

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3 years ago

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

myrzilka [38]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =

$A = \pi r^2$

where r is the radius of the circle.

Putting values, we get,

$1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}$

Thus, the sprinkler can spread water 18 feet away.

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3 years ago

Read 2 more answers

Brainliest if correct

densk [106]

Answer:

u⁷

Step-by-step explanation:

When multiply variables with exponents , all you do is add the exponents

so,

our powers are 3,3,1 (because no exponent means to the power of 1)

Adding the powers is 7

so u⁷

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2 years ago

Read 2 more answers

The surface area of a balloon varies directly as the

Sati [7]

Answer:

25π sq. units.

Step-by-step explanation:

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2 years ago

Find dy/dx if y =x^3+5x+2/x²-1

stiks02 [169]

<u>Differentiate using the Quotient Rule</u> –

$\qquad$ $\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\$

According to the given question, we have –

f(x) = x^3+5x+2
g(x) = x^2-1

Let's solve it!

$\qquad$ $\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{(x^2-1) \dfrac{d}{dx}(x^3+5x+2) - ( x^3+5x+2) \dfrac{d}{dx}(x^2-1)}{(x^2-1)^2 }\\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{(x^2-1)(3x^2+5) - ( x^3+5x+2) 2x}{(x^2-1)^2 }\\$

$\qquad$ $\pink{\sf \because \dfrac{d}{dx} x^n = nx^{n-1} }\\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-(2x^4+10x^2+4x)}{(x^2-1)^2 }\\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-2x^4-10x^2-4x}{(x^2-1)^2 }\\$

$\qquad$ $\green{\twoheadrightarrow \bf \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}\\$

$\qquad$ $\pink{\therefore \bf{\green{\underline{\underline{\dfrac{d}{dx} \dfrac{x^3+5x+2 }{x^2-1}} = \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}}}}\\\\$

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2 years ago