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3 years ago

What is the measure of ∠A?

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

6 0

Answer:

A = 60.07°

Step-by-step explanation:

Sin A = $\frac{opposite}{hypotenuse}$

Sin A = $\frac{13}{15\\}$

Sin A = 0.867

A = Sin⁻¹ 0.867

A = 60.07°

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7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?

loris [4]

Answer: a. Radius of circle = $\sqrt{85}$

b. The equation of this circle : $(x-3)^2+(y-10)^2=85$

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = $\sqrt{(12-3)^2+(12-10)^2}$

Radius of circle = $\sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}$

i.e. Radius of circle = $\sqrt{85}$

b. Equation of a circle = $(x-h)^2+(y-k)^2=r^2$ , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= $\sqrt{85}$ , we get

$(x-3)^2+(y-10)^2=(\sqrt{85})^2$

$(x-3)^2+(y-10)^2=85$

∴ The equation of this circle : $(x-3)^2+(y-10)^2=85$

6 0

3 years ago

What is the percent decrease of $65.50 to $52.40

Ray Of Light [21]

<span>Divide 52.4 by 65.5 and multiply by 100. That is the percent of the 52.4 compared to 65.5.

</span>

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3 years ago

Sandrena and her friends brought frozen yogurt for 55 cents per ounce.their total was $10.45.how many ounces did they buy?

lianna [129]

You would divide 10.45 by .55 and you would get 19 so 19 is your answer hope this helps

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

There are 20 chocolate candies in a bag.

Eduardwww [97]

Answer:

Step-by-step explanation:

20/20 X 100 = 100%

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3 years ago