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3 years ago

The center of a circle is at (-5 12) and it has a radius of 16. what is the equation of the circle?

Mathematics

1 answer:

Naya [18.7K]3 years ago

4 0

Answer:

(x+5)^2+(y-12)^2=256

Step-by-step explanation:

Comparing the given (x+5)^2+(y-12)^2=256

to (x - h)^2 + (y - k)^2 = r^2,

we see that h must be -5, k must be 12 and r must be 16. This is the desired equation of the circle with center at (-5, 12) and radius 16.

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Bertie has just had a big win at the lotterey. He spends 4/5 of his money on a large house. He spends 3/4 of his remaining money

SpyIntel [72]

Answer:

Total money = $30,00,000

Step-by-step explanation:

Given:

4/5 money spend on house

3/4 remaining money spend on luxury yacht

2/3 remaining money spend on trip to space

Remaining $50,000 to charity

Find:

Total money

Computation:

Assume Total money = x

So,

Spend on house = [4x/5]

Spend on luxury yacht = [x-4x/5]3/4 = 3x/20

Spend on trip to space = [x/5-3x/20]2/3 = x/30

Remaining money = x/20 - x/30 = x/60 = $50,000

So,

x/60 = $50,000

x = $300,000

Total money = $30,00,000

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3 years ago

What is 25% of $8? $ Submit

vekshin1

Answer:

2 dollars?

Step-by-step explanation:

8 divided by 4

3 0

3 years ago

What is the nearest tenth P(4,-2) Q (1,3)

irinina [24]

I hope this helps you

4 0

3 years ago

Please help will give brainliest

deff fn [24]

Since the sum of the probabilities of all possible outcomes must be 100%, we can deduce the following:

Cooking in under 20 minutes: 10%
Cooking between 20 and 30 minutes: 85%
Cooking in more than 30 minutes: 5%

In fact, the probabilities of cooking in less than 20 or more than 30 sum up to 15%, which means that the remaining outcome (i.e. cooking time between 20 and 30) must complete this probability to 15, and in fact 15+85=100.

That being said, all three answers are simply a combination of these three scenarios: let C be the cooking time, for aesthetic reasons:

$P(C\geq 20) = P(20 \leq C \leq 30)+P(C\geq30) = 85\%+5\%=90\%$

$P(20 \leq C \leq 30) = 85\%$

$P(C\leq 30) = P(C\leq20)+P(20 \leq C \leq 30) = 10\%+85\%=95\%$

3 0

3 years ago

The measure of angle A is 15°, and the length of side

dangina [55]

Answer:

Part 1) $AB=30.9\ units$

Part 2) $AC=29.9\ units$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1

Find the length side AB

we know that

$sin(A)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(15^o)=\frac{8}{AB}$

solve for AB

$AB=\frac{8}{sin(15^o)}=30.9\ units$

Part 2

Find the length side AC

we know that

$tan(A)=\frac{BC}{AC}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(15^o)=\frac{8}{AC}$

solve for AC

$AC=\frac{8}{tan(15^o)}=29.9\ units$

8 0

3 years ago