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Likurg_2 [28]
3 years ago
15

1. Find the mean, median, and mode of this data set. 76, 74, 78, 72, 73, 80, 49, 72, 83

Mathematics
1 answer:
aliina [53]3 years ago
3 0

Mean 74
Median 73
Mode 72
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An octagonal swimming pool has a base area of 22 square feet The pool is 3 feet deep How many cubic feet of water can the pool h
LenKa [72]

The pool can hold 65.84 ft³ of water

<u>Explanation:</u>

Given:

Shape of pool = octagonal

Base area of the pool = 22 ft²

Depth of the pool = 3 feet

Volume, V = ?

We know:

Area of octagon = 2 ( 1 + √2) a²

22 ft² = 2 ( 1 + √2 ) a²

\frac{11}{1+\sqrt{2} } = a^2

a² = \frac{11}{2.42}

a² = 4.55

a = 2.132 ft

Side length of the octagon is 2.132 ft

We know:

Volume of octagon = 2(1+\sqrt{2} ) X (a)^2 X h

V = 2(1+\sqrt{2})X (2.132)^2 X 3\\ \\V = 2 ( 2.414) X 4.5454 X 3\\\\V = 65.84 ft^3

Therefore, the pool can hold 65.84 ft³ of water

8 0
3 years ago
Evaluate 5x-7 when x=2
Reptile [31]

Answer:

the answer is 3since x is 2 so it becomes 5times 2 minus 7 equals to 3

4 0
1 year ago
What is the value of v? 4/5(v−7)=2
Nostrana [21]
4/5(v - 7) = 2...distribute the 4/5 thru the parenthesis
4/5v - 28/5 = 2 ...multiply everything by 5
4v - 28 = 10...add 28 to both sides
4v = 10 + 28
4v = 38
v = 38/4 reduces to 19/2 or 9 1/2 <==
3 0
3 years ago
Read 2 more answers
two angles are supplementary of the sum is 180. the larger angle measures four degrees more than sevem times the measure of a sm
Aleksandr [31]

Answer:

22 and 158

Step-by-step explanation:

Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.

  • "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
  • "x represents the measure of the smaller angle" is represented as x.

x + 7x+4 =180

8x+4=180

8x=176

x= 22

This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158

5 0
3 years ago
an original piece of artwork is 3 feet by 2.5 feet. A reprint of the artwork is 6 inches by 5 inches. Are the pieces similiar? I
amid [387]

Answer:

Yes

Explaination:

They are similar and the ratio is still the same. The artwork's shape didn't change we just resized it by multiplyting its length and width by 2.

6 0
3 years ago
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