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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

A town has a population of 2000 and grows at 4.5% every year. What will be the

goldfiish [28.3K]

Answer:

3544

Step-by-step explanation:

This is a problem of compound growth. The formula is

$F=P(1+r)^t$

Where F is the value in the future (in this case, the population after 13 years)

P is the intial amount (here, the initial population of 2000, so P = 2000)

r is the rate of growth (here, it is 4.5%, in decimal, 0.045)

t is the time frame (here, it is 13 years, so t = 13)

we can plug the numbers into the formula and solve for F:

$F=P(1+r)^t\\F=2000(1+0.045)^{13}\\F=2000(1.045)^{13}\\F=3544.4$

rounded to the nearest whole number, the population after 13 years would be 3544

3 0

2 years ago

Read 2 more answers

Carlos made a scale model of his house. The actual width is 30 feet, and the actual length is 45 feet. If the model has a width

olganol [36]

Hello!

Let's make a proportion:

$\frac{30}{45} = \frac{6}{x}$

Cross multiply

45 × 6 = 270

Divide by 30

270 ÷ 30 = 9

$\framebox {The length is 9 inches}$

3 0

2 years ago

You can peel 48 potatoes in 10 minutes. How long will it take you to peel 100 potatoes?

dybincka [34]

Answer:

About 20.8 minutes

Step-by-step explanation:

TO solve this just think of it as a ratio. The number of potatoes goes on top and the time goes on bottom.

That is what the first one would look like. In the second one we know the number of potatoes but we are trying to find the time (x).

100

___

Take these two ratios and set them equal to each other.

$\frac{48}{10} =\frac{100}{x}$ Next you cross multiply (take 48 times x and 100 times 10).

48x=1000 Now divide by 48 and you have your answer.

About 20.8 minutes

7 0

3 years ago

Factor completely 2x^2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5)

Zina [86]

2x^2 - 2x - 40 = 2x^2 -10x + 8x - 40 = 2x(x - 5) + 8(x - 5)

= (x-5)(2x+8) = 2(x-5)(x+4)

3 0

3 years ago

if the probability that the islanders will beat the rangers in a game is 0.44,what is the probability that the islanders will wi

Rama09 [41]

Answer:

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that the islanders will beat the rangers in a game is 0.44

This means that $p = 0.44$

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? 

This is P(X = 1) when n = 4. Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{4,1}.(0.44)^{1}.(0.56)^{3} = 0.3091$

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

6 0

2 years ago