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Alexxandr [17]
2 years ago
8

Kenji packed an exercise ball into a cylindrical package. The inflatable exercise ball is made out of vinyl. How much vinyl was

used to make the exercise ball? Express your answer in terms of pi.
Mathematics
1 answer:
Fofino [41]2 years ago
8 0
An exercise ball, also known as a yoga ball, is a ball constructed of soft elastic with a diameter of approximately 35 to 85 centimeters (14 to 34 inches) and filled with air. The air pressure is changed by removing a valve stem and either filling with air or letting the ball deflate. It is most often used in physical therapy, athletic training and exercise. It can also be used for weight training. The ball, while often referred to as a Swiss ball, is also known by a number of different names, including balance ball, birth ball, body ball, ball, fitness ball, gym ball, gymnastic ball, physio ball, pilates ball, naval mine, Pezzi ball, stability ball, Swedish ball, or therapy ball.
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What can be concluded about the line represented in the table? Check all that apply. x y –6 –7 2 –3 8 0 The slope is 2. The slop
Stels [109]
The first thing we must do for this case is to find the equation of the line.
 y-yo = m (x-xo)

 We have then:
 m = (y2 - y1) / (x2-x1)

m = (-3 - 0) / (2-8)

m = 1/2
 We choose an ordered pair:
 (xo, yo) = (8, 0)

 Substituting values:
 y-0 = (1/2) (x-8)

y = (1/2) x - 4
 
 From here we conclude:

 Intersection with y:
 
We evaluate x = 0 in the function:
 y = (1/2) (0) - 4

y = -4

 Slope of the line:
 m = 1/2


 Point (-2, -5):
 
We evaluate the value of x = -2 and the value of y = -5
 -5 = (1/2) (- 2) - 4

-5 = -1 - 4

-5 = - 5
 The equation is satisfied.

 Point (8, 0):
 
It is part of the table, therefore belongs to the line.

 Answer:
 
The slope is 1/2
 
The y-intercept is -4.
 
The points (-2, -5) and (8, 0) are also on the line.
7 0
2 years ago
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Maria drove from Los Angeles (elevation 330 feet) to Death Valley (elevation –282 feet). What is the difference in elevation bet
noname [10]
The answer is D because if you made a number line you would contrast them and there you get 612. hope it helpe
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Drew earns money washing cars for his neighbors on the weekends. Drew charges a set rate for each car he washes.
statuscvo [17]

Answer:

30

Step-by-step explanation:

5 0
2 years ago
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Lines e and f are parallel. The m9 = 80° and m5 = 55°. Which angle measures are correct? Check all that apply. m2 = 125° m3 = 55
Scorpion4ik [409]

I’ve answered this question before, so please see the attached image.

The solution would be like this for this specific problem:

 

1, 4, 5, 8 = 55<span>
2, 3 , 6, 7 = 125
9, 12, 13, 16 = 80
10, 11, 14 ,15 = 100</span>

<span>So, the angle measures that are correct are:

</span>

m12 = 100

m8 = 55

m14 = 100

<span>m16 = 80</span>

4 0
2 years ago
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A clerical worker takes 3 times as long to finish a job as it does an executive secretary. Working​ together, it takes them 2 hr
vova2212 [387]

Answer:

8 hours

Step-by-step explanation:

In 2 hours, the clerical secretary can do 1/4 of the job. (The executive secretary does 3/4 of the job - or 3 times as much - in the same 2 hours.)

Since it takes the clerical secretary 2 hours to do 1/4 of the job, it will take them four times that to do it themselves. 2x4=8.

7 0
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