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wlad13 [49]
3 years ago
12

What is the total surface area A.640 B.264 C.320 D.525

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0
The answer is B hope this helps
kykrilka [37]3 years ago
3 0

Answer:

B. 264

Step-by-step explanation:

Although the figure may look odd, This is just a square pyramid on it's side.

So, to find the surface area, we need to find the area of the base and the area of the faces and add them together.

To find the area of the base:

Since the base is a square, all we have to do is multiply 8 by itself.

8 * 8 = 64

The area of the base is 12.5 in^2

To find the area of the faces:

Since the faces are triangles, we have to multiply the length by the height and divide by 2.

8 * 12.5 = 100

100/2 = 50

The area of one face is 50 in^2

To find the surface area:

Add the area of the base to the area of all 4 sides.

64 + 4(50)

64 + 200 = 264

The surface area of the pyramid is B. 264 in.^2

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5 1/2

Step-by-step explanation:

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A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com
nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

<em>Step 1: Write all the data</em>

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

<em>Step 2: Find the total variable cost</em>

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

<em>Step 3: Make the formula for finding x</em>

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

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3 0
4 years ago
A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio
Anna007 [38]

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

Learn more about Equations:

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3 0
2 years ago
The amount of rhubarb in the original recipe is 3 1/2 cups. Using what you know of whole numbers and what you know of fractions,
Alexxx [7]
The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2

You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
either way works, whatever is easiest for you.  
8 0
3 years ago
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