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3 years ago

What is the total surface area of this square pyramid?

Mathematics

1 answer:

slamgirl [31]3 years ago

4 0

Answer:

The total surface area of this square pyramid is $297\ mm^{2}$

Step-by-step explanation:

we know that

The surface area of a square pyramid is equal to

$SA=b^{2} +4[\frac{1}{2}(b)(h)]$

we have

$b=9\ mm$ ----> the length side of the square base

$h=12\ mm$ ----> the height of the triangular faces

substitute the values

$SA=9^{2} +4[\frac{1}{2}(9)(12)]=297\ mm^{2}$

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CORRECT ANSWER GETS BRAINLIEST A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 4,11 ,15 ,

ra1l [238]

Answer:

A = 10.5%

B = 28.9%

C = 39.5%

D = 18.4%

F = 2.6%

Step-by-step explanation:

Add all the frequencies together = 38

4/38 × 100 = 10.5%
11/38 × 100 = 28.9%
15/38 × 100 = 39.5%
7/38 × 100 = 18.4%
1/38 × 100 = 2.6%

10.5 + 28.9 + 39.5 + 18.4 + 2.6 = 100%

5 0

3 years ago

Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player. What percent of those who owned a TV also o

Luda [366]

Answer:

82.5% Americans owned a TV also owned a DVD player .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player.

Here

Part value = 94.2 million

Total value = 114.2 million

Putting all the values in the formula

$Percentage = \frac{94.2\times 100}{114.2}$

$Percentage = \frac{94200\times 10}{1142\times 10}$

$Percentage = \frac{942000}{11420}$

Percentage = 82.5 %

Therefore 82.5% Americans owned a TV also owned a DVD player .

3 0

3 years ago

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.

makkiz [27]

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

-----> equation A

-----> equation B

Substitute equation B in equation A

Find the value of x

therefore

the answer is

the number of multiple choice question are

the number of free response question are

3 0

2 years ago

What is the 75th term of the arithmetic sequence -1, 5, 11

lana [24]

Answer:

75th term = 443

Step-by-step explanation:

$a_{n}=a_{1}+d(n-1) \\a_{n}=-1+6(n-1) \\a_{75}=-1+6(75-1) \\a_{75}=-1+6(74)\\a_{75}=-1+444\\a_{75}=443 \\\\$

7 0

3 years ago

A clothing business finds there is a linear relationship between the number of shirts, Q ,it can sell and the price, P , it can

Vlad [161]

Answer:

P = -0.004Q + 149

Step-by-step explanation:

The general form of the linear equation is:

$P=aQ+b$

The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)

$a = \frac{\$41-\$133}{27,000-4,000}\\a=-0.004$

Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:

$P-P_0=a(Q-Q_0)\\P-133=-0.004(Q-4,000)\\P = -0.004Q+149$

The linear equation is:

P = -0.004Q + 149

8 0

3 years ago