All categories

2 years ago

Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.

Mathematics

2 answers:

frutty [35]2 years ago

6 0

Volume = 1/3 * area of the base * height

75 = 1/3 * 5^2 * h

h = 75 * 3 / 25 = 3*3 = 9 feet answer

zubka84 [21]2 years ago

5 0

volume of the pyramid = (1/3) x Area of the base x Height (1)

As the base length = 5 feet

So Area of the base = 5 x 5 = 25 square feet

While volume of the pyramid = 75 cubic feet

Putting values in equation (1);

75 = (1/3) x 25 x Height

Height = (75 x 3) / 25

Your height = 9 feet

You might be interested in

Kayson mixes 300300300 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of spinach, 20

Georgia [21]

Answer:

Total, T = (300s+200b+42d) mg

Step-by-step explanation:

Given that,

Kayson mixes 300 mL spinach, 200 mL of berries, and 42 mL of dressing to make a salad.

There are s mg of vitamin C per mL of spinach, b mg per mL of berries, and d mg per mL of dressing.

In 300 mL of spinach vitamin C is = (300 s)mg

In 200 mL of berries vitamin C is = (200 b)mg

In 42 mL of salad vitamin C is = (42 d)mg

It means that, total mg of vitamin C is :

Total, T = (300s+200b+42d) mg

Hence, this is the required solution.

4 0

2 years ago

What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio

aalyn [17]

Answer:

StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}$

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

1/a^b = a^-b

(a^b)^c = a^(bc)

So the expression simplifies as ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}$

9 0

2 years ago

The atmospheric pressure at sea level is 14.7 lb/in2. This pressure is reduced by half for each 3.6 miles above sea level. Which

Korvikt [17]

<u>Solution-</u>

The atmospheric pressure at sea level = 14.7 lb/in²

Pressure gets reduced by half for each 3.6 miles we move up.

Taking,

x = miles above the sea-level

y = pressure in lb/in²

0 14.7

3.6 7.35

7.2 3.675

10.8 1.8375

It can be observed that both the variables are in inverse proportion as the distance from sea-level increase the pressure decreases.

As only the second graph satisfies the points and inverse proportional condition, so that is the correct graph.

By plotting the graph in excel taking these data set, the following plot was obtained.

8 0

2 years ago

Read 2 more answers

One week, Abigail earned $396.80 at her job when she worked for 16 hours. If she is paid the same hourly wage, how many hours wo

Delicious77 [7]

$396.80 divided by 16 to find the hourly wage you get $24.80 per hours so she works 1 hour to get that much so then in order to compute the amount of hours she’ll have to work you divide $148.80 by $24.80 to get 6. She has to work 6 hours to earn $148.80.

3 0

2 years ago

two computers can print out a task in 26 minutes and 78 minutes, respectively. How long will it take to complete the task with b

kari74 [83]

78 minutes cause they are not working when one finishes, if they were doing that the it would take 1 hour and 44 minutes, hope this helps :)

4 0

2 years ago