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PSYCHO15rus [73]
2 years ago
10

circle 0 shown below has a radius of 27 inches.find to the nearest tenth of a degree the measure of the angle ,x, that forms are

whose length is 14inches.

Mathematics
1 answer:
Irina18 [472]2 years ago
8 0

Answer: 29.7 degrees

Step-by-step explanation:

Good, I can see the diagram now!

First calculate circumference of the circle.

C=2πr

C=2π(27)

C=54π in ==> 360 degrees

54π/14=12.11757

360/12.11757=

29.709=29.7 degrees

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the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?
miss Akunina [59]
The equation of a circle in standard form is

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

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}

d = \sqrt{144 + 64}

d = \sqrt{208}

r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}

(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2

x^2 + (y - 2)^2 = 52
7 0
3 years ago
A water tank holds 944 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds 1,180 gallons but is le
podryga [215]

Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

944 + 4x = 1180                

Subtract 944 from both sides.

4x = 1180 - 944

4x = 236      

Divide by 4

x = 236/4

x = 59 weeks

8 0
3 years ago
a drink is made by mixing pineapple juice orange juice and lime juice in the ratio 2:7:3 Sally makes 600ml of the fruit drink ho
satela [25.4K]
Pineapple juice : orange juice : lime juice = 2:7:3
So there is 2x of pineapple juice, 7x of orange juice and 3x of lime juice.

2x+7x+3x=600 \\
12x=600 \\
x=50 \\ \\
pineapple \ juice \to 2x = 2 \times 50=100

She used 100 ml of pineapple juice.
7 0
3 years ago
Read 2 more answers
Answers: (0,12)<br> (0,0)<br> (cannot be determined) <br> (6,0)<br> Giving brainliest!
Nataly_w [17]

Answer:

I would say the y-intercept is (0,0)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Divide. Round to the nearest tenth. <br> .16 ÷ .03220
grigory [225]

Answer: Rounded to the nearest tenth is 5

4.96894409 is the exact answer

7 0
2 years ago
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