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4 years ago

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A rectangular prism has a volume of 160 cm. The height of the prism is 5 cm. The length is twice the width. What are the dimensi

ons of the base?

1 answer:

Westkost [7]4 years ago

5 0

The answer to your question is 8*5*4.
8*5=40
40*4=160 8 is twice of 4. the length is twice the width.

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Rasek [7]

Answer:

3/4 and 0.95 would both result in a reduction.

Step-by-step explanation:

multiplying by anything less than 1 will make it smaller which both 3/4 and 0.95 are smaller than 1.

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3 years ago

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Two brothers build a pyramid-shaped fort. If the fort is 8 feet wide at its base, what expression could be used to calculate the

melisa1 [442]

Answer: An expression for the height is: H = (3/64)V

To start with, we will assume that it is a square pyramid, meaning all the sides of the base are 8 feet wide.

Now, we need the formula for the volume of a square pyramid.

V = BH/3

We know the area of the base, it is 8 x 8 = 64, so we can input that.

V = 64H/3 We can multiply by 3/64 to find an expression for the height of the fort.

(3/64)V = H

5 0

3 years ago

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Plant A: A graph has time (weeks) on the x-axis, and height (inches) on the y-axis. A line goes through points (0, 3), (1, 4.8),

butalik [34]

Answer:

The correct option is;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks

Step-by-step explanation:

The parameters given are;

Plant A:

Weeks, Height

0, 3

1, 4.8

2, 6.6

3, 8.4

The rate of change of height, H per week, t, $\left (\dfrac{dH}{dt} \right )$ for plant A per week is therefore;

$\dfrac{dH}{dt} = \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{8.4 - 3 }{3 - 0} = \dfrac{5.4}{3} = 1.8 \ inches/week$

Therefore we have;

H = 1.8 × t + 3

At week 6,

H = 3 + 6×1.8 = 13.8 inches

Plant B

Weeks, Height

2, 7.3

3, 8.7

4, 10.1

The rate of change of height, H per week, t, $\left (\dfrac{dH}{dt} \right )$ for plant B per week is given as follows;

$\dfrac{dH}{dt} = \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{10.1 - 7.3 }{4 - 2} = \dfrac{2.8}{2} = 1.4 \ inches/week$

Therefore we have;

When t = 2, H = 7.3 hence, 7.3 = 2 × 1.4 + H₀

Where:

H₀ = H at t = 0

H₀ = 7.3 - 2 × 1.4 = 4.5

At week 6 we have;

H = 4.5 + 6×1.4 = 12.9 inches

Which indicates that Plant A will be 0.9 inches taller than Plant B at week 6.

The correct option is therefore;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.

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4 years ago

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For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of

NeX [460]

Maybe solve by dividing. I think 5/6. Sorry math isn’t my strong suit. I’m good at reading.

5 0

3 years ago

-5x-y= 8<br> -4x+y=2 solve the system

yan [13]

$\huge\fcolorbox{blue}{aqua}{Answer:}$

═════════════════════

1. $- 5x - y = 8$

<h3>Solve for x</h3>

$-5x-y=8$

$-5x=8+y$

$-5x=y+8$

$\frac{-5x}{-5}=\frac{y+8}{-5}$

$x=\frac{y+8}{-5}$

$x=\frac{-y-8}{5}$

<h3>Solve for y</h3>

$-5x-y=8$

$-y=8+5x$

$-y=5x+8$

$\frac{-y}{-1}=\frac{5x+8}{-1}$

$y=\frac{5x+8}{-1}$

$y=-5x-8$

────────────────────

2. $-4x-y=2$

<h3>Solve for x</h3>

$-4x-y=2$

$-4x=2+y$

$-4x=y+2$

$\frac{-4x}{-4}=\frac{y+2}{-4}$

$x=\frac{y+2}{-4}$

$x=-\frac{y}{4}-\frac{1}{2}$

<h3>Solve for y</h3>

$-4x-y=2$

$-y=2+4x$

$-y=4x+2$

$\frac{-y}{-1}=\frac{4x+2}{-1}$

$y=\frac{4x+2}{-1}$

$y=-4x-2$

════════════════════

Explanation:

#Carry on learning

7 0

3 years ago