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3 years ago

The base of this regular right pyramid is a square. What is its surface area?

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

Answer:

○ C) 256 in.²

Step-by-step explanation:

{a}^{2} + 2a \sqrt{ \frac{ {a}^{2}}{4} + {h}^{2} } = S. A. \\ \\ {8}^{2} + 2(8) \sqrt{ \frac{{8}^{2}}{4} + {12}^{2}} = 64 + 64\sqrt{10}\\ \\ 64\sqrt{10} ≈ 266,3857703 ≈ 256

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Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary

algol13

Answer

238π yd^2

Step-by-step explanation:

here's your solution

=> height of cylinder = 10 yd

=> radius of cylinder = 7 yd

=> formula to calculate surface area = 2πr(h + r)

=> putting the value of height and radius in formula

=> SA = 2*22/7*7(10+7)

=>. SA = 2*22*17

=> SA = 748 yd.sq

hope it helps

4 0

3 years ago

What is the error of the problem? I don't quite understand but I'll like if anyone can explain it to me :)))

egoroff_w [7]

Answer:

im sorry so i dont understand i need more info

Step-by-step explanation:

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7 0

3 years ago

A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2

Scilla [17]

Answer:

The number of cubes are needed to fill the rectangular prism = 448 cubes

Step-by-step explanation:

It is given that,

A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 cm. The prism is filled with cubes that have edge lengths of 1/2 cm

To find the volume of rectangular prism

Volume of rectangular prism = Length x Width X Height

Length = 7 cm, Width = 4 cm and height = 2cm

Volume = 7 x 4 x 2 = 56 cm³

To find the volume of small cubes

Volume of cube = a³

a = 1/2 cm = 0.5³ = 0.125

To find the number of cubes needed to fill prism

Number of cubes = Volume of prism/ volume of cube

= 56/0.125 = 448 cubes

Therefore the correct answer is 448 cubes

4 0

3 years ago

Read 2 more answers

The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di

Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x P(x) xP(x) x² x²P(x)

0 0.25 0 0 0

1 0.20 0.20 1 0.20

2 0.15 0.3 4 0.6

3 0.30 0.9 9 2.7

4 0.10 0.4 16 1.6

∑P(x)=1 ∑xP(x)=1.8 ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

$\sum P(X)=0.25+0.20+0.15+0.30+0.10$

$\sum P(X)=1$

Yes it is a probability distribution.

b) The expected value of x is defined as

$E(x)=\sum xP(x)=1.8$

c) The variance of x is defined as

$V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86$

d) The standard deviation of x is defined as

$\sigma=\sqrt{V}$

$\sigma=\sqrt{1.86}$

$\sigma=1.136$

5 0

3 years ago

What does Y equal Y=?

TEA [102]

Answer:

yyyyyyyyyyyyyyy you have high hopes

5 0

2 years ago