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Sidana [21]
1 year ago
10

A dog’s weight dropped to 62 kg after its weight decreased by 7%. What was the dog’s original weight?

Mathematics
1 answer:
Alinara [238K]1 year ago
5 0

Answer:

original weight= mass/weight

62kg/7

Step-by-step explanation:

8.85 original weight

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College graduates have a higher mean by about $20,000

 

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Step-by-step explanation:

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If the complement of an angle is 40 less than its supplement, find the angle.
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Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
  • The other leg is the radius, r.

Then, you can use Pythagorean theorem:

  • (r)² + (6)² = (r +2.75)²

Solve:

  • r² + 36 =  r² + 5.5r + 7.5625
  • 5.5r = 36 - 7.5625
  • 5.5r = 28.4375
  • r = 5.6875

The solution is in inches: r = 5.6875 inches ← answer

4 0
2 years ago
The length and width of a rectangle are in a 7:2 ratio. Find the width of the perimeter is 72.
scoray [572]
<span>length = 7x
</span><span>width = 2x

2(7x + 2x) = 72
7x + 2x = 72/2
9x = 36
x = 36/9
x = 4
</span>
width = 2x = 2 * 4 = 8 units<span>


</span>
7 0
3 years ago
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