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Sindrei [870]
2 years ago
13

What is the length of the unknown leg in the right triangle? A right triangle has a side with length 20 meters, hypotenuse with

length 25 meters, and side labeled b. StartRoot 5 EndRoot m 5 m StartRoot 45 EndRoot m 15 m
Mathematics
2 answers:
galben [10]2 years ago
6 0

The length of the unknown leg of the triangle is 15 m.

<u>Step-by-step explanation:</u>

Length of one leg = 20 m

Length of the hypotenuse= 25m

As it is a right angled triangle we can use pythogoras theorem.

Let the unknown length be y

(20) (20)  + y(y) = (25) (25)

400 + y(y) = 625

y(y) = 225

y = √225

y = 15

The length of the unknown leg is 15 m.

qwelly [4]2 years ago
6 0

Answer:

Y =15

Step-by-step explanation:

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1. An auto shop has 98 cans of oil at the
Troyanec [42]

Answer:

88 cans were sold, the most important variable is how much you started with and how much you ended with

Step-by-step explanation:

88 cans were sold because 98-10=88, and the most important variable is how much you started and ended with because the question asks how much were sold and you can't know that without knowing the start amount and end amount which is the 2 variables I used to get 88 in the equation (98-10)

The Equation is 98-10=88

5 0
2 years ago
Given the polynomial bellow which statement is true?
lions [1.4K]

Answer:

I think its A

Step-by-step explanation:

I factored the polynomial and its factors turned out to be (x-1)(x^2-2x-4), which eliminated the possibilities of 2 and 3. Then i replaced the (-1) in the place of the x and it turned out to be equal to 2, making the first statement true.

5 0
2 years ago
Thomas walks his dog for 30 minutes today 15 more minutes than yesterday express as a percent his walking time today compared to
Dennis_Churaev [7]
For the first one it is 200% because he walked twice as much today than yesterday. For the second one the answer is yes with a 14.49. (I'm not sure on the second.)
7 0
2 years ago
Consider the probability that no less than 96 out of 145 people will not get the flu this winter. Assume the probability that a
dsp73

Answer:

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 145, p = 0.61

So

\mu = E(X) = np = 145*0.61 = 88.45

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{145*0.61*0.39} = 5.87

Consider the probability that no less than 96 out of 145 people will not get the flu this winter.

More than 95 people, which is the same as 1 subtracted by the pvalue of Z when X = 95. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{95 - 88.45}{5.87}

Z = 1.115

Z = 1.115 has a pvalue of 0.8676

1 - 0.8676 = 0.1324

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

6 0
2 years ago
Please simplify this equation
yawa3891 [41]

Answer:

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Step-by-step explanation:

√9a² = 3a

√49b = 7√b

and

3a + 7√b - a + √b = 2a + 8√b

4 0
2 years ago
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