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netineya [11]
3 years ago
8

If the diameter of circle C is 3 times greater than the diameter of circle D, the area of circle C is how many times the area of

circle D?
Mathematics
1 answer:
amid [387]3 years ago
7 0
The radius of circle C is also 3 times greater than the radius of circle D.
The area of circle C:
A C = (3r)² π = 9 r² π
The area of circle D:
A D = r² π
9 r² π : r ² π = 9
Answer: It is 9 times the area of circle D.
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The sum of two numbers is 8, and their product is 80.
Anettt [7]

From their sum, the numbers are ' x ' and ' 8 - x ' .

From their product,  x(8 - x) = 80 .

When you massage and manipulate this equation into the standard
quadratic form, you have

         x² - 8x + 80 = 0  .

Applying the quadratic formula to tease out the solutions of this equation,
we find that they are

          <em> x = 4 + 64 i</em>
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6 0
2 years ago
An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane f
Ganezh [65]

Answer:

299.99 miles

Step-by-step explanation:

Since the plane traveled due west,

The total angle is 49.17 + 90

Represent that with θ

θ = 49.17 + 90

θ = 139.17.

Represent the sides as

A = 170

B = 150

C = unknown

Since, θ is opposite side C, side C can be calculated using cosine formula as;

C² = A² + B² - 2ABCosθ

Substitute values for A, B and θ

C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17

C² = 22500 + 28900 - 51000 * Cos 139.17

C² = 51400 - 51000 (−0.7567)

C² = 51400 + 38,591.7

C² = 89,991.7

Take Square Root of both sides

C = 299.9861663477167

C = 299.99 miles (Approximated)

Hence, the distance between the plane and the airport is 299.99 miles

8 0
3 years ago
Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5) Yan is climbing down a ladder. Each t
Svet_ta [14]

Answer:

(-8) + (-8) + (-8) + (-8)

Step-by-step explanation:

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Given that no extra steps was taken ;

Number of ladder rungs descended :

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Another way to write the product :

Number of stops added in number of rungs descended :

(-8) + (-8) + (-8) + (-8)

3 0
2 years ago
What is 0.009 written as a percent?
Pachacha [2.7K]
.9%. To turn a decimal into a percent, you move the decimal 2 places to the right. So .009 would be .9%
5 0
2 years ago
An adult elephant that is 10 ft tall casts a shadow that is 15 ft long. Find the length of the shadow that is a 8 ft telephone b
Fittoniya [83]

Answer:

12 feet long bc of cross multiplying then dividing the product by 10 which gives you 12!

5 0
2 years ago
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