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RUDIKE [14]
4 years ago
8

Find the length of AB

Mathematics
1 answer:
Lady_Fox [76]4 years ago
5 0

Hey there! :)

Answer:

arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)

Step-by-step explanation:

Begin by finding the circumference of the circle. Use the formula:

C = 2rπ

C = 2(9)π

C = 18π.

Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

\frac{50}{360}  = \frac{x}{18\pi }

Cross multiply:

50 · 18π = 360x

900π = 360x

Divide both sides by 360:

x = 2.5π in, or ≈7.85 in.

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THIS IS DUE TODAY SO CAN ANYONE PLEASE FIGURE THIS OUT!!
IrinaK [193]

Answer:

I would say B

Step-by-step explanation:

when you are going down you tend to go faster because of gravity. So you would go down, up, down, up, and a little down. This would make B the answer because the speed is increasing when it goes down so that is the only answer that would make sense. Hope this helped! Have a good day! :)

3 0
3 years ago
A company produces packages of granola and has changed its recipe. It claims that the proportion of almonds in how is the approp
vova2212 [387]

Answer:

The correct answer is

t = \frac{0.49-0.29}{\sqrt{\frac{(0.42)^2}{100} +}\frac{(0.29)^2}{100}  }

Step-by-step explanation:

To solve the question we note that the question involves a test statistic calculation given by

t = \frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1} +}\frac{s_2^2}{n_2}  } Where

x₁ = Mean of sample 1

x₂ = Mean of sample 2

n₁ = Sample size of sample 1

n₂ = Sample size of sample 2

s₁ = Variance of sample 1

s₂ = Variance of sample 2

s₁ = ∑(x₁ - x₁')²/n₁,  s₂ = ∑(x₂ - x₂')²/n₂

The test statistic is a variable that is derived from a given data sample and is applied in hypothesis testing. The test statistic measures the available data against the expected value from the null hypothesis

With the given data, we have

t = \frac{0.49-0.29}{\sqrt{\frac{(0.42)^2}{100} +}\frac{(0.29)^2}{100}  }

4 0
3 years ago
Sam has a party with snacks. One bowl of snacks has a mixture of fish crackers. There are 15 pretzels, 3 orange, 5 yellow, and 7
Diano4ka-milaya [45]
<h3>Answer:  33.3% approximately</h3>

Explanation:

Ignore the 15 pretzels. We're only focusing on the fish crackers.

3 orange + 5 yellow + 7 green = 15 total fish crackers

Of that total, 5 are yellow.

So approximately 5/15 = 1/3 = 0.333 = 33.3% of the crackers are yellow.

3 0
2 years ago
A dead tree was struck by lightening causing it to fall over at a point 10 ft up from its base. If the fallen treetop forms a 40
Serga [27]

Answer:


25.6 ft


Step-by-step explanation:


Although the problem here is listed under "Pythagorean theorem" you can't solve it by the Pythagorean theorem simply because you need to know the length of two sides of the right triangle formed by the broken tree and the stump.

But you can use trigonometry.

The broken tee and trunk form a right triangle with the ground.

The stump can be represented by the height of the triangle (10 ft.) while the fallen treetop can be represented by the hyptenuse of the triangle with the ground forming the base of the triangle.

So, we have a right triangle whose height is 10 ft. having an angle opposite the height of 40 degrees.

You are asked to find the original height of the tree so you need to find the length of the fallen treetop (the "hypotenuse") and then you'll add this to the tree stump (10 ft.) to find the original height of the tree. To find the length of the "hypotenuse", you can use the sin funtion of trigonometry because in a right triangle: Sin(A) = Opposite/Hypotenuse where the angle A (40 degrees)is the angle opposite the height (10 ft).

Sin%2840%29+=+10%2Fh where h is the hypotenuse. Solving for h, we get:

h+=+10%2FSin%2840%29

h+=+10%2F0.643

h+=+15.6ft.

Now add this to the 10-ft stump:

10+15.6 = 25.6 ft.

The tree was 25.6 ft originally.



3 0
4 years ago
What is the vertex of x²-8x+5
romanna [79]

( 4 , − 11 )

↑↑↑↑↑

answer

↑↑↑↑↑

3 0
3 years ago
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