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inysia [295]
3 years ago
5

Find the exact arc length of the given arc. show all work and leave terms of pi and reduce your fraction.

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

20/3pi

Step-by-step explanation:

\frac{75}{360}  \times 2\pi \times 16 \\  =  \frac{2400}{360} \pi\\  =  \frac{20}{3}   \pi\\  = 20.94 \: cm

Please give brainliest if it helps

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!!please, please help me!!
grigory [225]

Answer:

Length: 12

Width: 2\sqrt{10\\}

Area: 24\sqrt{10\\}

Step-by-step explanation:

We first find the points of C and D to find the length.

C: (-4,-5)

D: (2,-3)

The distance is 2\sqrt{10\\.

Now for the height.

A: (2,9)

D: (2,-3)

The distance is 12.

Area: 2\sqrt{10\\×12 = 24\sqrt{10\\}

6 0
2 years ago
A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is
Otrada [13]

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

7 0
3 years ago
What is x in this problem 8-(-4)^2-5=x
hichkok12 [17]

Answer:

X=-12

Step-by-step explanation:

9-16-5=X

-12=X

X=-12

6 0
3 years ago
Read 2 more answers
Enter the number that makes the equation true.
antiseptic1488 [7]

Answer:

54

Step-by-step explanation:

The decimal 0.54 is equal to 54/100

4 0
3 years ago
Helppppppppp me ASAP
Roman55 [17]
I think it is C. Let me know if it is correct
7 0
3 years ago
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