Ask question

Ask question

All categories

3 years ago

15

Rachel has a box in the shape of a prism with a square base. The capacity of the box is 150 cubic inches. The height of the box

(y) is 1 1/2 times the base length of the box (x). Find the approximate height and the length of the box.

1 answer:

hjlf3 years ago

6 0

V = s²h

<span>150 = s²h </span>
<span>150 = s²(3/2)s </span>
<span>(2/3)150 = s³ </span>
<span>100 = s³ </span>
<span>s = ∛100 (approx 4.642 in) </span>

You might be interested in

A farmer divides his ranch into 10 equal squares. The side length of each square section is 20 m. Calculate the total

bazaltina [42]

Area = (side)^2

Area = (20cm)^2

Area = 400cm^2 = the area of one square.

Let T = total area

T = 10(Area)

T = 10(400cm^2)

T = 4,000cm^2

Done.

3 0

3 years ago

How do economists measure a nation's standard of living

castortr0y [4]

Answer:

A was not correct for Plato

Step-by-step explanation:

A. by calculating GDP per person - Not correct on Plato

B. by calculating per capita income

C. by calculating average personal income

7 0

3 years ago

If tan theta = 10/13 and cos theta > 0 then sin2theta is what ?

svetoff [14.1K]

$sin2\alpha = \frac{260}{269}$

<u>Step-by-step explanation:</u>

We have , $Tan\alpha = \frac{Perpendicular}{Base} = \frac{10}{13}$ ,

We know that $sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }$

Substituting values of P & B , $sin\alpha = \frac{10}{\sqrt{10^{2} + 13^{2}} } = \frac{10}{\sqrt{269} }$

Now , $sin2\alpha = 2sin\alpha cos\alpha = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }$

⇒ $sin2\alpha =$ $\frac{10}{\sqrt{269} }$ × $\sqrt{1 - (\frac{10}{\sqrt{269} })^{2} }$ ×2

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} } )$

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} } )$

⇒ $sin2\alpha = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} } )$

⇒ $sin2\alpha = \frac{260}{269}$

6 0

3 years ago

What is 30% written as a fraction in simplest form? (Lol I asked the wrong question earlier this is what I meant )

igor_vitrenko [27]

Answer:

3/10

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Which describes the transformation shown please help

sergiy2304 [10]

90° clockwise, I think

5 0

3 years ago