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soldi70 [24.7K]
2 years ago
7

Answer the following questions.

Mathematics
1 answer:
Maslowich2 years ago
3 0

Answer:

The first is 12

The second is 25.35

Step-by-step explanation:

The second is confusing so sorry if I got that wrong

Please give brainelest

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The variable Z is inversely proportional to X. When X is 6, Z has the value 2.
Vera_Pavlovna [14]
Inverse proportion is of the form:

y=k/x, in this case the variables are

z=k/x, and we are given the point (6,2) so we can solve for k

2=k/6

12=k, so our equation is:

z=12/x, so when x=13

z=12/13
6 0
3 years ago
What is the length of an arc defined by a 60 degree central angle in a circle with a radius of 5 in.?
Natali [406]

Answer:

5.24 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × \frac{60}{360}

     = 2π × 5 × \frac{1}{6}

     = \frac{10\pi }{6} ≈ 5.24 in (2 dec. places )

3 0
3 years ago
Choose all distances that are equivalent to 1/2 mile.
damaskus [11]

Answer:

A, C, and E.

Step-by-step explanation:

I looked up what half a mile was in meters, yards, and feet, and it told me these were the right answers.

6 0
2 years ago
A. If you know the diameter of a sphere, you can find its radius.
USPshnik [31]

A. If you know the diameter, you can find the radius of a sphere by dividing the diameter in half. If you know the circumference, you can find the radius by dividing the circumference by 2 times pi

B. π × r2 × h

7 0
3 years ago
A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon, assuming no sales
Sphinxa [80]

The 114 represents 80% of the total price before the sale. You would set up your equation as

Cost Price * 80% = Sale Price.

Sale Price = 114

80% = 80/100 = 0.8

Cost Price = 114/0.8

Cost Price = 142.50 which is the price before the deduction. You can confirm this by taking 20% of 142.50 and subtracting it form 142.50

20% * 142.50

20/100 * 142.50

2850/100

28.50

Now subtract 28.50 from 142.50

142.50 - 28.50 = 114 which is just what you might expect.

5 0
3 years ago
Read 2 more answers
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