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2 years ago

Find the surface area of the pyramid.

Mathematics

1 answer:

Mashutka [201]2 years ago

7 0

Answer:

319

Step-by-step explanation:

So, to find the surface area, first we find the base area, which is: 11 x 11 = 121

Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.

So,

b = 11

h = 9

1/2 x 11 x 9 = 49.5

The, we multiply by 4, the number of sides: 49.5 x 4 = 198

Then, we add the 2, values: 121 + 198,

Which gives us: 319.

Hope this helped!

You might be interested in

Question 2(Multiple Choice Worth 1 points) (06.01) Solve 2x + 5y = −13 3x − 4y = −8 (4, 1) (−4, 1) (4, −1) (−4, −1)

dlinn [17]

ANSWER

The solution is
$(-4,-1)$

EXPLANATION

The given equations are:

$2x + 5y = - 13...(1)$

and

$3x - 4y = - 8...(2)$

We multiply equation 1 by 3 to get,

$6x + 15y = - 39...(3)$

We multiply equation 2 also by 2 to get,

$6x - 8y = - 16...(4)$

We subtract equation 4 from equation 3 to get,

$23y = - 23$
This implies that,

$y = - 1$

We put this value of y into any of the equations say equation 2

$3x - 4( - 1) = - 8$
Simplify

$3x + 4 = - 8$
Group like terms
$3x = - 8 - 4$
Simplify,

$3x = - 12$

Divide both sides by 3 to get,

$x = - 4$

Therefore the solution is
$(-4,-1)$

The correct answer is option D.

3 0

3 years ago

What property is shown in the following equation?<br><br> 17 + 8 + 3 = 17 + 3 + 8

ss7ja [257]

Answer:

The Commutative Law of Addition.

Step-by-step explanation:

Basically, this law says we can swap numbers over and still get the same number when we add. This has demonstrated exactly that.

Hope this helped!

3 0

3 years ago

Read 2 more answers

1. You owe $2,348.62 on a credit card with an 8.75% APR. You pay $300.00 toward the card at the beginning of the month and anoth

satela [25.4K]

Part 1:

After payment of $300, remaining balance = $2,348.62 - $300 = $2,048.62.
Interest accrued is given by:

$I=Prt \\ \\ =2,048.62\times0.0875\times \frac{1}{12} \\ \\ =\$14.94$

Had it been $600 was paid, remaining balance = $2,348.62 - $600 = $1748.62. Interest accrued is given by:

$I=1,748.62\times0.0875\times \frac{1}{12} \\ \\ =$12.75$

Difference in interest accrued = $14.94 - $12.75 = $2.19

Part 2:

The present value of an annuity is given by:

$PV= \frac{P\left[1-\left(1+ \frac{r}{12} \right)^{-12n}\right]}{ \frac{r}{12} }$

Where PV is the amount to be repaid, P is the equal monthly payment, r is the annual interest rate and n is the number of years.

Thus,

$2348.62= \frac{600\left[1-\left(1+ \frac{0.0875}{12}\right)^{-12n}\right]}{\frac{0.0875}{12}} \\ \\ \Rightarrow 1-(1+0.007292)^{-12n}= \frac{2348.62\times0.0875}{12\times600} =0.028542 \\ \\ \Rightarrow(1.007292)^{-12n}=1-0.028542=0.971458 \\ \\ \Rightarrow \log(1.007292)^{-12n}=\log0.971458 \\ \\ \Rightarrow-12n\log1.007292=\log0.971458 \\ \\ \Rightarrow-12n= \frac{\log0.971458}{\log1.007292} =-3.985559 \\ \\ \Rightarrow n= \frac{-3.985559}{-12} =0.332130$

Therefore, the number of months it will take to pay of the debt is 3.99 months which is approximately 4 months.

6 0

3 years ago

Read 2 more answers

U divided by 3 = 6 what is U a solution to

drek231 [11]

Answer:

u=18

Step-by-step explanation:

u/3 =6

Multiply each side by 3

u/3*3 =6*3

u = 18