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Dennis_Churaev [7]
3 years ago
12

The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude is 6 m. Find the total surface area of

the pyramid.
Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Answer:

806.12 m

Step-by-step explanation:

<u>Step 1: Write the data</u>

<em>Side (s) = 12</em>

<em>Altitude (h) = 6</em>

<u>Step 2: Write the formula for surface area of right hexagonal pyramid</u>

<em>Area = 3√3/2*s² + 3*s*√(h²+3s²/4)</em>

<u>Step 3: Substitute values of 's' and 'h'</u>

<em>Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]</em>

Area = 806.12 m

Therefore, the total surface area of the pyramid is 806.12 m.

!!

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Answer: Option D

D. 880 = 45d + 70; 18 days

Step-by-step explanation:

We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.

We also know that a total of $ 880 was paid last month

To write an equation that represents this situation, let us call d the number of days that Barry attends school

So the cost was:

45d + 70 = 880

Now we solve the equation for the variable d

45d= 880-70

45d= 810

d= \frac{810}{45}

d= 18\ days

The answer is the option D

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According to the number line, which statement MUST be true?
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Hello, I need help with this math problem please
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Answer:

4c^2+7c-5=0

4c^2+7c=5

4c^2+7c=5

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A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of
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Answer:

f(x) = -4x + 80

Step-by-step explanation:

You are given two points,

(5, 60) and (10, 40)

in order to get the equation, let's use the form slope-intercept form

m = (y1 - y2) / (x1 - x2)

m = (60 - 40) / (5 - 10)

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2 years ago
Sweaters cost $42 each .For every 5 sweaters You buy,You get 1 sweater free.How much will a total of sweaters cost ?
solniwko [45]

<u><em>Note: I think you may have unintentionally missed to mention the amount of total sweaters for which we have to measure the cost. So, after a little research, I was able to find the complete question. So, I will answer your question based on the following completing question. Anyways, it would clear your concept hopefully.</em></u>

Here is the complete question:

<em>Sweaters cost $42 each. For every 5 sweaters You buy,You get 1 sweater free. How much will a total of 30 sweaters cost?  </em>

Answer:

The cost of 30 sweaters = $1050

Step-by-step explanation:

What to determine?

How much will a total of 30 sweaters cost?

Information Fetching and Solution Steps:

  • The cost of each sweater = <em>$42</em>
  • For every 5 sweaters You buy, you get 1 sweater free. It means you will be able to get 6 sweaters for the price of 5

As

The cost of 6 sweaters ⇒ The cost of 5 sweaters + 1 free = 42×5 = $210

So

If the cost of 6 sweaters = $210

Then

the cost of 30 sweaters = 210 × 5 = $1050

Therefore, the cost of 30 sweaters = $1050

<em>Keywords: cost</em>

<em> Learn more cost problems from brainly.com/question/13005346</em>

<em> #learnwithBrainly</em>

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