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djyliett [7]
3 years ago
5

If 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), w

here a > 0, what is the value of a?
50pts + BRAINLIEST
Mathematics
1 answer:
user100 [1]3 years ago
8 0

A n s w e r : .

a = 40

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The original price of a car is $25000. Each year, its value depreciates (loses value) by 13%. Three years after its purchase, wh
Thepotemich [5.8K]

Answer:

$16,462.58

Step-by-step explanation:

25000(1-.13)^(n)

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3 years ago
Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere
denis-greek [22]

The answers that would fill in the blanks are

  • 2r
  • a circle
  • an annulus
  • 1/3πr³
  • 4/3πr³
<h3>What is the Cavalier's principle?</h3>

This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.

Now we have to fill in the blanks with the solution.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height<u> 2r</u> minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a <u>circle</u> base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an <u>annulus_ </u>.The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle

Read more on Cavalieri's principle here

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5 0
10 months ago
What is the standard form of (6x^2-8x-7)+(8x^2-76x)
Studentka2010 [4]

Answer:  14x^2 - 84x - 7

====================================================

Explanation:

The like terms 6x^2 and 8x^2 combine to 14x^2

The like terms -8x and -76x combine to -84x

Nothing pairs with the -7, so its stays as is.

Standard form is where we list the terms in decreasing exponent order. We can think of -84x as -84x^1 and the -7 as -7x^0. So 14x^2 - 84x - 7 would be the same as 14x^2 - 84x^1 - 7x^0. The exponents count down: 2,1,0.

The final answer is a trinomial since it has three terms. It is also a quadratic because the degree (highest exponent) is 2.

5 0
3 years ago
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