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3 years ago

Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

Hello!

A triangle is 180 degrees, and you are given one of the angles, which is ∠P = 26 degrees.

Angle Q is a right angle, and this triangle is therefore a right triangle, so one angle has to be 90 degrees, and the other two angles are acute.

So we can create a simple equation:

m∠P + m∠Q + m∠x = 180 degrees

26 + 90 + m∠x = 180

116 + m∠x = 180

-116 - 116

m∠x = 64 degrees.

The measure of angle x is equal to 64 degrees, which is the fourth choice.

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The party planner has 126 flowers and 14 vases for arrangements. How many flowers per arrangement will there be? 9 14 140 1764

AleksAgata [21]

The answer in 9. 126 divided by 14

7 0

3 years ago

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Y is directly proportional to x

maw [93]

Answer:

Step-by-step explanation:

Check attachment below

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3 years ago

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The J.O. Supplies Company buys calculators from a non-US supplier. The probability of a defective calculator is 10 percent. If 3

RSB [31]

Answer:

There is a 24.3% probability that one of the calculators will be defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The probability of a defective calculator is 10 percent.

This means that $p = 0.1$

If 3 calculators are selected at random, what is the probability that one of the calculators will be defective

This is P(X = 1) when n = 3. So

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

$P(X = 1) = C_{3,1}.(0.1)^{3}.(0.9)^{2} = 0.243$

There is a 24.3% probability that one of the calculators will be defective.

3 0

3 years ago

495x43

Mashcka [7]

Answer:a) $5.64 b) 21 ounces of tea leaves

Step-by-step explanation:

Step 1

5 ounces of tea leaves can be bought with $2.35

1 ounce of tea can be bought with =$2.35/5 =$0.47

12 ounces at the same rate can be bought with

=12 x $0.47 = $5.64

b) 5 ounces of tea leaves can be bought with $2.35

? Ounces of tea leaves can be bought with $10

$2.35 =5 ounces of tea

$10 = ? ounces of tea

= (10 x 5)/2.35

=50/2.35

=21.27 rrounded to 21 ounces of tea leaves

5 0

3 years ago

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t

matrenka [14]

Answer:

509.35 feet

Step-by-step explanation:

16°23' means 16 degrees and 23 minutes. A minute is 1/60 of a degree.

16°23' = 16 + (23/60) = 16.383°

Similarly:

49°29' = 49 + (29/60) = 49.483°

When the boat is first noticed:

tan(16.383°) = 200 / a

a = 200 / tan(16.383°)

a = 680.27

When the boat stops:

tan(49.483°) = 200 / b

b = 200 / tan(49.483°)

b = 170.92

So the difference is:

a − b = 680.27 − 170.92 = 509.35

The boat traveled 509.35 feet from the time it was first noticed to the time it stopped.

3 0

3 years ago