MATHEMATICS HIGH SCHOOL

Which of the following best describes the circumference of a circle?A. The distance across the middle of the circle

B. A segment that connects any two points on the circle

C. The distance around the circle

D. A segment that connects any point on the circle to its center

Answers

Answer 1
Answer:

Answer:

The answer would be C. The distance around the circle.

Step-by-step explanation:

By definition that is exactly what the circumference is.

With regards to the other choices:

A is called the diameter.

B is called a chord.

D is called the radius

The image attached could be used as a reference for better understanding.

Answer 2
Answer: The definition of the circumference of a circle is the distance around it, so the answer is (C).

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All 60 students in the seventh grade must choose a Fall sport in which they will participate. 1/5 of them choose volleyball, 40% of them choose soccer, and the remainder choose softball. How many students choose softball?

Answers

1/5 = 20%
100%-40%-20%=40%
40% chose softball
40% of 60:
60 x 0.4= 24 students chose softball
If my math is correct, 1/5 of 60 is 12, and 40% of 60 (which is the same as 2/5) is 24, so 12 + 24 = 36. That takes care of how many students played volleyball and soccer, so 60 - 36 = 24.
24 students chose softball.
Hope this helps!

Which is the correct graph of the equation y=-1/3x+5

Answers

Answer:

x=15 i think but im pretty sure

Step-by-step explanation:

The length of a rectangle is 7 mm longer than its width. Its perimeter is more than 62 mm. Let w equal the width of the rectangle. Write an expression for the length in terms of the width.
Use these expressions to write an inequality based on the given information.
Solve the inequality, clearly indicating the width of the rectangle

Answers

We know that the length (L) of the rectangle in question is 7mm longer than its width (W). Let's represent that as the following:
L=7+W

A rectangle's perimeter (the total sum of its sides) will be made my 2 sides representing the length  (2L) and 2 sides representing the width (2W).  We also know that this rectangle's perimeter is greater than 62. Since eventually we are solving for W, let's state all expressions in terms of W:
2L=2(7+W)
2(7+W)+2W>62
14+2W+2W>62
14+4W>62
4W>62-14
4W>48
W>48/4
W>12
If the rectangle's perimeter is greater than 62, then the width  will be greater than 12. Let's confirm this:
Perimeter=2L+2W
P=2(7+12)+2(12)
P=14+24+24
P=62
So we can see that if the perimeter is to surpass 62, W needs to be greater than 12 and L ( which is also 7+W) needs to be greater than 19.

Final answer:

The length of the rectangle is expressed as w + 7 mm. The inequality for the perimeter is 2(w + w + 7) > 62. The solution for the inequality reveals that the width, w, must be more than 12mm.

Explanation:

The question is asking for an expression for the length of a rectangle in terms of the width and an inequality based on the perimeter. We are given that the length of the rectangle is 7 mm longer than its width, and its perimeter is more than 62 mm.

The width of the rectangle is defined as w. We can express the length as w + 7 mm, since it is 7 mm longer than the width.

The perimeter of a rectangle is calculated as 2 times the sum of its width and length, so we form the inequality: 2(w + w + 7) > 62.

To solve it, we simplify the left side: 4w + 14 > 62. We then subtract 14 from both sides, getting 4w > 48. Finally, we divide both sides by 4, which gives us w > 12. Therefore, the width of the rectangle must be more than 12 mm.

Learn more about Inequalities here:

brainly.com/question/32625151

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Caculate the average rate of movement of the volcanic ash for the first 15 hours

Answers

Answer:Average rate of movement = 6.67 km/h

Step-by-step explanation:

Therefore, the average rate of movement of the volcanic ash for the first 15 hours is 6.67 kilometers per hour.

Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection Find the number of months after which they 2. will have the same number of CDs.​

Answers

Answer:

They will have the same amount of CDs on the third month

they will both have 33

Step-by-step explanation:

Y-5=1/2(x+2) what is the point and slope

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 5 = (1)/(2)(x + 2) ← in point- slope form

with slope m = (1)/(2) and (a, b) = (- 2, 5 ) ← point on line
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