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2 years ago

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Use a net to find the surface Area of the square pyramid The height of the pyramid is 9 yes and the base sides are all 2.5 yrds

and its a square as a base

1 answer:

Cerrena [4.2K]2 years ago

6 0

Answer:

$Area = 51.68yd^2$

Step-by-step explanation:

Given

$h = 9yd$ -- height

$a = 2.5yd$ --- base sides

Required

Determine the surface area

The net is not given. So, I will solve directly.

The surface area is calculated as:

$Area = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}$

So, we have:

$Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}$

$Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}$

$Area = 6.25 + 5\sqrt{1.5625 + 81}$

$Area = 6.25 + 5\sqrt{82.5625}$

$Area = 6.25 + 5* 9.086$

$Area = 51.68yd^2$

You might be interested in

The length of the diagonal of a square is 6√2. What is the length of one side?

Maurinko [17]

Answer:

6

Step-by-step explanation:

Given in the question that,

length of the diagonal of a square = 6√2

As we know that a square have all lengths equal in size and lengths are perpendicular to each other so to solve this question we will use pythagorus theorem

hypotenuse² = base² + height²

here,

hypotenuse is the diagonal of the square

base and height side length of the square

Plug value in the formula

6√2² = l² + l²

36(2) = 2l²

72 = 2l²

l² = 72/2

l² = 36

take square root on both sides of the equation

l = √36

<h3>l = 6</h3>

3 0

2 years ago

Read 2 more answers

Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. he puts all 80 of neighborhood a

Anna11 [10]

No this is not a valid reference because those were 20 random families, if he does another test the next twenty families 50% of them could attend the party. Too much chance to be valid.

4 0

3 years ago

Read 2 more answers

URGENT! WILL GIVE BRAINLIEST!!

IgorC [24]

Answer:

Option C) $a_{n}=m-b+m(n-1)$ for $n={\{1,2,3,...}\}$ is not the correct way to define the given infinite sequence

${\{m+b,2m+b,3m+b,4m+b,...}\}$

Step-by-step explanation:

Given infinite sequence is ${\{m+b,2m+b,3m+b,4m+b,...}\}$

Option B) $a_{n}=m-b+m(n-1)$ for $n={\{1,2,3,...}\}$ is not the correct way to define the given infinite sequence ${\{m+b,2m+b,3m+b,4m+b,...}\}$

Now verify $a_{n}=m-b+m(n-1)$ for $n={\{1,2,3,...}\}$ is true for the given infinite sequence

That is put n=1,2,3,.. in the above function

$a_{n}=m-b+m(n-1)$

When n=1, $a_{1}=m-b+m(1-1)$

$=m-b+0$

$a_{1}=m-b\neq m+b$

When n=2, $a_{2}=m-b+m(2-1)$

$=m-b+m$

$a_{2}=2m-b\neq 2m+b$

When n=3, $a_{3}=m-b+m(3-1)$

$=m-b+2m$

$a_{3}=3m-b\neq 3m+b$

and so on.

Therfore $a_{n}=m-b+m(n-1)$ for $n={\{1,2,3,...}\}$ is not the correct way to define the given infinite sequence

${\{m+b,2m+b,3m+b,4m+b,...}\}$

Therefore option C) is correct

5 0

3 years ago

Which statement is true?

Allisa [31]

Answer: C

Step-by-step explanation:

fcbgxhjkl;'

5 0

3 years ago

a random sample of 500500500 residents of a town included 173173173 residents who primarily spoke a language other than english

NNADVOKAT [17]

If sample size is 500,number of residents who primarily spoke a language other than english at home is 173, margin of error is 25 and the confidence level is 98%,then the number of residents from 25000 who primarily spoke a language other than english at home will be 9900.

Given that sample size is 500,number of residents who primarily spoke a language other than english at home is 173, margin of error is 25 and the confidence level is 98%.

We are required to find the number of residents from 25000 who primarily spoke a language other than english at home.

Percentage of residents who spoke language other than english at home=173/500 *100=34.6%

Percentage of margin of error=25/500*100=5%

Number of residents among 25000=25000*34.6%=8650

Margin of error for 25000=25000*5%=1250

Total number of residents who spoke other than english at home=8650+1250=9900 residents

Hence If sample size is 500,number of residents who primarily spoke a language other than english at home is 173, margin of error is 25 and the confidence level is 98%,then the number of residents from 25000 who primarily spoke a language other than english at home will be 9900.

Learn more about margin of error at brainly.com/question/24289590

#SPJ4

7 0

1 year ago