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tresset_1 [31]
3 years ago
10

What is the equation of a circle with a center (-9,2) and radius 5?

Mathematics
1 answer:
notsponge [240]3 years ago
4 0

Answer:

(x+9)^2 + ( y-2) ^2 = 25

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + ( y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

(x--9)^2 + ( y-2) ^2 = 5^2

(x+9)^2 + ( y-2) ^2 = 25

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A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to near
Vedmedyk [2.9K]

Answer:

36 °

Step-by-step explanation:

In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.

Tan A ° = opposite / adjacent

replacing:

Tan A ° = 50/68

Tan A ° = 0.735

A ° = arc tan (0.735)

A ° = 36.32

Which means that the angle of inclination is 36°

4 0
3 years ago
Of the smoothie sold yesterday at Isaac's smoothie shop 1/4 we're banana and another 2/3 were strawberry What fraction of smooth
lesya [120]

Answer:

11/12

Step-by-step explanation:

Fraction of smoothie that is Banana = 1/4

Fraction of smoothie that is strawberry = 2/3

The fraction of smoothies that were either banana or strawberry

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Least Common Denominator= 12

= (3 × 1 + 2 × 4)/12

= 3 + 8/12

= 11/12

The fraction of smoothies were either banana or strawberry is 11/12

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3 years ago
Express as a ratio in whole numbers 1/2 : 1/4 : 1/12
Gelneren [198K]

Answer:

6 : 3 : 1

Step-by-step explanation:

Given

\frac{1}{2} : \frac{1}{4} : \frac{1}{12} ( multiply each part by 12 , the LCM of 2, 3, 12 to clear the fractions )

= 6 : 3 : 1

7 0
3 years ago
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lidiya [134]
X best represents
the width must be x so that the length can be 12+x meaning that the length is greater than length by 12
3 0
3 years ago
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Answer:

12

Step-by-step explanation:

6 0
3 years ago
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