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3 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form

Mathematics

1 answer:

tino4ka555 [31]3 years ago

6 0

We have the triangle 30° - 60° - 90°.

The lenght of the sides are in proportion: $1:2:\sqrt3\to a:2a:a\sqrt3$

$a=y\\2a=x\\a\sqrt3=5\\\\a\sqrt3=5\qquad\text{multiply both sides by}\ \sqrt3\\\\3a=5\sqrt3\qquad\text{divide both sides by 3}\\\\a=\dfrac{5\sqrt3}{3}\\\\2a=2\cdot\dfrac{5\sqrt3}{3}=\dfrac{10\sqrt3}{3}\\\\Answer:\ x=\dfrac{10\sqrt3}{3},\ y=\dfrac{5\sqrt3}{3}$

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F(x) = 10*(x + 5)²<br>f(5) = ?

sergij07 [2.7K]

<h2>♪Answer : </h2>

»f(x) = 10*(x + 5)²

»f(5) = 10*(5 + 5)²

»f(5) = 10*(10)²

»f(5) = 10*(100)

»f(5) = 1.000✅

3 0

1 year ago

Read 2 more answers

Suppose there was a cancer diagnostic test was 95% accurate both on those that do and those do not have the disease. If 0.4% of

Musya8 [376]

Complete Question

Suppose there was a cancer diagnostic test was 95% accurate both on those that do and 90% on those do not have the disease. If 0.4% of the population have cancer, compute the probability that a particular individual has cancer, given that the test indicates he or she has cancer.

Answer:

The probability is $P(C | A) = 0.0042$

Step-by-step explanation:

From the question we are told that

The probability that the test was accurate given that the person has cancer is

$P(A | C) = 0.95$

The probability that the test was accurate given that the person do not have cancer is

$P(A | C') = 0.90$

The probability that a person has cancer is

$P(C) = 0.004$

Generally the probability that a person do not have cancer is

$P(C') = 1- P(C)$

=> $P(C') = 1- 0.004$

=> $P(C') = 0.996$

Generally the probability that a particular individual has cancer, given that the test indicates he or she has cancer is according to Bayes's theorem evaluated as

$P(C | A) = \frac{P(A | C) * P(C)}{P(A|C) * P(C) + P(A| C') * P(C')}$

=> $P(C | A) = \frac{ 0.95 * 0.004 }{ 0.95 * 0.004 + 0.90 * 0.996}$

=> $P(C | A) = 0.0042$

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3 years ago

Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord

e-lub [12.9K]

The decomposition of the parallelogram into triangle then into a rectangle is shown below

The measurement we need to calculate the area is the length and the width of the rectangle; 15 feet and 10 feet

Area = 15 × 10 = 150 feet²

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2 years ago

A serving of rice is 1/3 of a cup. How many servings are there in a 2 1/3-cup bag of rice?

iogann1982 [59]

Answer:

Step-by-step explanation:

each cup is 1/3 so divide 2 1/3 by 1/3 to get 7 cups

hope this helps

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An object that starts at rest accelerates until it is moving at 247 km/h. If it takes 1.7 minutes for this change to occur what

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I figured out the answer Chaseashley24! The answer to your question is:

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