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Papessa [141]
3 years ago
10

Write the standard equation of a circle with center (0,3) and radius 7

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

x^{2}  + y^{2}  = ... \\  {x}^{2}  +  {y}^{2}  =  {7}^{2} \\  {x}^{2}  +  {y}^{2}  = 49

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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
Negative 5 and 3/4 multiplied by 8/23
Ira Lisetskai [31]

Answer:

-2

Step-by-step explanation:

6 0
3 years ago
Which elements make up the stars​
leonid [27]

Answer:

Most stars have small amounts of heavy elements like carbon, nitrogen, oxygen and iron. But the shine from the stars comes from burning hydrogen into helium in their cores.

‍♀️ if this helps

7 0
2 years ago
Pls answer these questions
Mila [183]

Answer:

I believe the answers are

B) 1

D) $1,000

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
-p + 4p = 6 prob the last one for now i think
Irina-Kira [14]

Answer:

p = 2

Step-by-step explanation:

First, simplify:

3p = 6

Then, divide 3 on both sides:

p = 2

Hope this helps ^^

8 0
3 years ago
Read 2 more answers
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