All categories

2 years ago

Find the total area for the regular pyramid. T. A. =

Mathematics

1 answer:

Volgvan2 years ago

3 0

Answer:

The answer to your question is Superficial area = 144 + 36√3

Step-by-step explanation:

Process

1.- Calculate the area of the base

Area = base x height / 2

-Calculate the height using the Pythagorean theorem

h² = 12² - 6²

h² = 144 - 36

h² = 108

h = √108

108 2

54 2

27 3

9 3

3 3

h = 6√3

Area = 12 x 6√3/2

Area = 36√3 u²

2.- Calculate the area of the superficial 3 triangles

Area = base x height / 2

-Calculate the height using the Pythagorean theorem

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = 8

Area = 12 x 8/2

Area = 48 u²

Total area = 3(48) + 36√3

= 144 + 36√3

You might be interested in

The number of members f(x) in a baseball club increased by 45% every year over a period of x years. The function below shows the

Dovator [93]

Answer:

<h3>Graph of f of x equals 25 multiplied by 1.45 to the power of x</h3>

Step-by-step explanation:

This is because the 25 in the equation is put in the graph, I suck at alegbra but one day I'll be great at it hopefully...

4 0

2 years ago

Read 2 more answers

2 tens 1 one x 10 unit form

Olin [163]

21x10 is 210 your welcome

3 0

2 years ago

Angelique had 20 tokens to use for games at the arcade. She lost some of them. Her dad tripled the tokens she had left. Angeliqu

alexandr402 [8]

Answer: Both the expressions are exactly same . Both are representing the number of tokens she has now.

Step-by-step explanation:

Given: The total number of tokens Angelique has= 20

Since, she lost some of them, let the number of lost tokens be t.

Then, The remaining tokens she has = 20-t

Then her father triples the tokens she has.

now, the number of token she has= $3(20-t)$ ....>Angelique's expression

By using distributive property,

The number of token she has= $3\times20-3t$

⇒The number of token she has= $60-3t$ ...> Dante's expressions

Hence, both are the same expressions. Both are representing the number of tokens she has now.

7 0

2 years ago

Read 2 more answers

In Drew's town the average price for a tutor is $15 per hour, and the standard deviation is $5.25 per hour. In Drew's town, what

alukav5142 [94]

Answer:

0.659 is the probability that a tutor charges between $10 and $20 per hour.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $15 per hour

Standard Deviation, σ = $5.25 per hour

We are given that the distribution of tutoring prices is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P( tutor charges between $10 and $20 per hour)

$P(10 \leq x \leq 20)\\\\ = P(\displaystyle\frac{10 - 15}{5.25} \leq z \leq \displaystyle\frac{20-15}{5.25})\\\\ = P(-0.9523 \leq z \leq 0.9523)\\\\= P(z \leq 0.9523) - P(z < -−0.9523)\\= 0.8295 - 0.1705= 0.659$

0.659 is the probability that a tutor charges between $10 and $20 per hour.

5 0

2 years ago

Eli needs pieces of ribbon cut into strips that are 2 1\2 feet long. The roll of ribbon is 7 1\2 feet long. Which expression cou

julsineya [31]

Answer: There are 3 strips that can be cut from the roll of ribbon.

Step-by-step explanation:

since we have given that

Length of a ribbon is given by

$7\frac{1}{2}\ ft\\\\=\frac{15}{2}\ ft$

Length of pieces of ribbon cut into strips is given by

$2\frac{1}{2}\ ft\\\\=\frac{5}{2}\ ft$

So, we need to find the number of strips that can be cut is given by

$\text{ Number of strips }=\frac{\text{Length of roll}}{\text{ Length of strip}}\\\\=\frac{\frac{15}{2}}{\frac{5}{2}}\\\\=\frac{15\times 2}{2\times 5}\\\\=\frac{15}{5}\\\\=3$

Hence, there are 3 strips that can be cut from the roll of ribbon.

6 0

2 years ago

Read 2 more answers