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3 years ago

11

To determine the amount of wrapping paper needed for a rectangular bow, Ryan finds the surface area of the box. How much wrappin

g paper is needed if the box measures 9 in. by 4 in. by 6 in.?

1 answer:

yulyashka [42]3 years ago

5 0

Find the area. Multiply length by width

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Education researchers are interested in the workload expectations of freshmen at a local university. Since all of the freshmen a

Olegator [25]

Answer: Cluster Sampling

Step-by-step explanation: I just took this test and got it correct :)

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2 years ago

All the edges of a regular square pyramid have length 8. find the Volume of the pyramid, Lateral area of the pyramid and the Tot

RUDIKE [14]

Answer:

V = 120.6796

LA = 110.8513

SA = 174.8513

Step-by-step explanation:

Let me know if you need more of an explanation for any of these

First we need the height, one way to find that out is to use the diagonal of the and one of the diagonal edges of the pyramid. Specifically we will need half of the diagonal of the square. We will call the diagonal of the square d.

$8^2+8^2=d^2\\d=\sqrt{64+64} \\d=\sqrt{128}$

Gonna leave it like that for ease of writing. So then half of the diagonal is $\frac{\sqrt{128}}{2}$

The height, h, will be $(\frac{d}{2})^2+h^2 = 8^2$ . Plugging everything in gets us $h=\sqrt{32}$

last, we need to find slant height, which we will call s.

$(\frac{8}{2})^2+h^2 = s^2\\s=\sqrt{48}$

s is also the height of the triangles for purposes of finding area. Now for the volume and areas.

Volume is area of the base times height divided by 3, so $V=8^2\frac{\sqrt{32} }{3} = \frac{64\sqrt{48} }{3} = 120.6796$

Lateral area is the sum of the four areas of the triangles, and each of those are $\frac{8*h}{2}$ so the whole lateral area is 4 times that. So we get $4\frac{8\sqrt{32} }{2} =110.8513$

Total surface area is the lateral surface area + the area of the base, so 110.8513 + 64 = 174.8513

6 0

3 years ago

Deluxe coffee is to be mixed with regular coffee to make at least 46 pounds of a blended coffee. The mixture must contain at lea

bogdanovich [222]

Answer:

11 pounds of deluxe, 35 pounds of regular

Step-by-step explanation:

If d is pounds of deluxe coffee, r is pounds of regular coffee, and C is the total cost, then:

d ≥ 11

d + r ≥ 46

C = 7d + 5r

Since deluxe costs more than regular, we want to use as little as possible to minimize the cost.

d = 11

r = 35

C = 252

8 0

3 years ago

What is 0.06 divided by 0.5334

Serga [27]

The answer is 0.11248593

5 0

3 years ago

Read 2 more answers

How is the graph of y=9(3)^x-2 -6 translated from the graph of y=9(3)^x ?

USPshnik [31]

For this case we have the following function:
y = 9 (3) ^ x
Applying the following transformations we have:
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
y = 9 (3) ^ (x-2)
Vertical translations
Suppose that k> 0
To graph y = f (x) -k, move the graph of k units down.
y = 9 (3) ^ (x-2) - 6
Answer:
2 units to the right
6 units down

5 0

3 years ago