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spin [16.1K]
2 years ago
7

The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of one of the lateral faces is 105 cm2. Find:

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
3 0
The surface area is 870 cm².

Since the base is a regular quadrilateral, each side is the same; dividing the perimeter by 4 will give us the side length:

60/4 = 15

To find the area, we square the side length:
15² = 225

There are two bases, so the area of these is 2(225) = 450

There are 4 lateral faces, so the lateral area is 4(105) = 420

Together, this gives us a total surface area of 870.
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Question 14 (1 point)
labwork [276]

Answer:

Step-by-step explanation:

I don't think it really does grow by a constant rate. As he puts money in, the amount he puts in becomes less significant to the total.

Suppose he starts at 100 dollars.

After week one, he puts in 100 + 15 = 115 dollars.

The 15 dollars represents an increase of  15/100

After the second week, he puts in another 15 dollars. He has 115 in there already.

(15/115) * 100% = 13.04%

After the third week, he puts in another 15 dollars. (15/130 ) * 100% = 11.53

And so one

4 0
3 years ago
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. Th
Dvinal [7]

Answer:

27 ounces of blueberry juice. 40 ounces of soy milk. 13 ounces of banana flavoring.

Step by Step:

4 + 1.3 = 5.3, This is how much of the smoothie is made up of the soy milk and banana flavoring, 5.3 ounces.

So to find the amount of blueberry juice in the smoothie you have to subtract 8-5.3. This finds the remaining part of the smoothie, which is the blueberry juice. 8-5.3 = 2.7

2.7 ounces of blueberry juice in each smoothie.

Now you have to multiply every ingredient by 10, since there are 10 smoothies.

4 * 10 = 40

1.3 * 10 = 13

2.7 * 10 = 27

You need 40 ounces of soymilk, 13 ounces of banana flavoring, and 27 ounces of blueberry juice to make 10, 8-ounce smoothies.

7 0
2 years ago
1. Nola earns $62 per week walking
Rasek [7]

Nola will make B. $ 3, 224 in one year.

5 0
3 years ago
A study was conducted looking at the association between the number of polyps in the colon and mean grams of fiber consumed per
rewona [7]

Answer:

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

Explanation:

The following multiple choice responses are provided to complete the question:

A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).

B) The Pearson correlation results should be reported because the two variables are normally distributed.

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.

Further Explanation:

A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed.  Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

8 0
3 years ago
Help help help math math math math
Natasha_Volkova [10]

Answer:

x = 15

Explanation:

First, add both equations on one side, and set it equal to 180° because it's supplementary:

2x + 8 + 8x + 22 = 180

combine like terms:

10x + 30 = 180

subtract 30 on both sides of the equation and you end up with:

10x = 150

divide both sides by 10 and you get:

x = 15

3 0
2 years ago
Read 2 more answers
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