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3 years ago

Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm

Mathematics

1 answer:

horrorfan [7]3 years ago

3 0

Calculate the area of the full circle:

Area = PI x r^2

Area = 3.14 x 14^2 = 615.44 sq. cm

45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8

615.44 x 1/8 = 76.93, round to 77 cm^2

The answer is B. 77 cm^2

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Is the triangle with the given dimensions a right triangle? If so, which angle is the right angle? AB =10, BC= 8, CA= 5

ExtremeBDS [4]

No it's not a right triangle.

8 0

3 years ago

A test consists of 10 true/false questions. To pass the test a student must answer at least 88 questions correctly. If a student

Zanzabum

Answer:

The probability that the student is going to pass the test is 0.0545

Step-by-step explanation:

The variable that says the number of correct questions follows a Binomial distribution, because there are n identical and independent events with a probability p of success and a probability 1-p of fail. So, the probability of get x questions correct is:

$P(x)=\frac{n!}{x!(n-x)!} *p^{x} *(1-p)^{n-x}$

Where n is equal to 10 questions and p is the probability of get a correct answers, so p is equal to 1/2

Then, if the student pass the test with at least 8 questions correct, the probability P of that is:

P = P(8) + P(9) + P(10)

$P=(\frac{10!}{8!(10-8)!}*0.5^{8}*(0.5)^{10-8})+(\frac{10!}{9!(10-9)!} *0.5^{9} *(0.5)^{10-9})+(\frac{10!}{10!(10-10)!} *0.5^{10} *(0.5)^{10-10})$

P = 0.0439 + 0.0097 + 0.0009

P = 0.0545

8 0

3 years ago

Which expression is equivalent to 27<br> ?

vfiekz [6]

Answer:

Last one

Step-by-step explanation:

3^4*3^-7

8 0

3 years ago

List all the 3 digit numbers that fit these clues. The hundreds is greater than 7. The tend digit is less than 2. The ones digit

zhuklara [117]

Answer:

808, 818, 909, 919

Step-by-step explanation:

Digits greater than 7 are 8 and 9.

Digits less than 2 are 0 and 1.

There are four (4) possible combinations of these digits: 80, 81, 90, 91. Since your numbers end the same way they start, there are 4 possibilities:

808, 818, 909, 919

3 0

3 years ago

I’ll give 30 points! ;D I’m in middle school not college.

Gelneren [198K]

Answer:

Rotate the shape 45* (or 90*) Degrees clockwise,

Rotate the shape to the right

Then Slide the shape down

Notes:

Sorry, this is the closest answer that I can think of. I have never done this without a graph

8 0

3 years ago