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MissTica
2 years ago
9

Consider parallelogram below ABCD. Use the information given in the figure to find , angle B, and angle BAC

Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

Answer: b and d

Step-by-step explanation:

What are the measures of angles B and D? A. ∠B ... The perimeter of parallelogram ABCD is 46 inches. ... What is the measure of angle O in parallelogram LMNO? ... Consider the diagram and proof below. ... Rectangle PQRS is shown with its diagonals, PR and QS. ... Which equation can be used to find the measure of ?

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<u>Your question: </u>given that sin(30)=1/2 and cos(30)=(sqrt3)/2, use trigonometric identities to find the value of cot(30)

The correct answer would be D \sqrt{3}

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3 years ago
What is 892 to the nearest 100
Olegator [25]
I’m pretty sure This rounds to 900
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A principal of $2600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 8 years?
almond37 [142]
To add 7.5% to a number you simply multiply the number by 1.075. To compound that amount year after year, you raise 1.075 to an exponent that corresponds to the number of years.  2600*(1.075^8)=<span>4637.04234646</span>
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2 years ago
I have the formula <br><br> A fraction • π r^2
MatroZZZ [7]

Answer:

22.2 ft²

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circle × fraction of circle

  = πr² × \frac{50}{360}

  = π × 7.13² × \frac{5}{36}

  = \frac{7.13^2(5)\pi }{36} ≈ 22.2 ft² ( nearest tenth )

4 0
3 years ago
A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me
Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 20 questions, hence n = 20.
  • Each question has 2 options, one of which is correct, hence p = \frac{1}{2} = 0.5

The probability is:

P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148

P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046

P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011

P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002

P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0

P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0

Then:

P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0
2 years ago
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