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2 years ago

7

The length of the hypotenuse of a right triangle is 7 feet, and the length of one leg is 4 feet. what is the length of the other

leg to the nearest tenth of a foot

1 answer:

topjm [15]2 years ago

4 0

The length of the other leg to the nearest tenth of a foot is 5.7 feet.

What is Pythagorean theorem?

A theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
The Pythagoras theorem equation is expressed as, $c^{2} = a^{2} + b^{2}$ , where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs.

We can use the Pythagorean Theorem to find the length of the other leg

$a^{2} + b^{2} = c^{2}$

"a" and "c" represent the two legs of the triangle and "b" represents the perpendicular.

So,

$b^{2} = c^{2} - a^{2}$

= 7² - 4²

b = $\sqrt{49 - 16}$

$b = \sqrt{33}$ ⇒ 5.7 feet

Therefore, the length of the other leg to the nearest tenth of a foot is 5.7 feet.

Learn more about Pythagorean Theorem brainly.com/question/14605061

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3 years ago

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Arlene wants to create a scale drawing of the poster shown below:

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Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro

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Answer:

40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.

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.

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This means that $p = 0.95$

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This means that $n = 10$

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Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

$P(X = 10) + P(X < 10) = 1$

We want P(X < 10). So

$P(X < 10) = 1 - P(X = 10)$

In which

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3 years ago

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PolarNik [594]

Question 1:

<span>5z – 9 = 36

5z = 45

z = </span> $\frac{45}{5}$

z = 9

Hence, the answer is D.

Question 2:

<span>5(2z + 4) = 0
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10z + 20 = 0

10z = -20

z = </span> $\frac{-20}{10}$
<span>
z = -2

Hence, the answer is A.

Question 3:

4a + 3(a + 1) = 24

4a + 3a + 3 = 24

7a = 21

a = </span> $\frac{21}{7}$

a = 3

Hence, the answer is B.

Question 4:

<span>3(4x + 5) = 12

12x + 15 = 12

12x = 12 - 15

12x = -3

x = </span> $\frac{-3}{12} = - \frac{1}{4}$

Hence, the answer is A.

Question 5:

<span>4x – 8 – 4x = 9

-8 </span>≠ 9

Hence, the answer is A.

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