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Karo-lina-s [1.5K]
3 years ago
12

Find the missing side length, indicate whether the side lengths form a Pythagorean triple, and identify the correct explanation.

Mathematics
2 answers:
saw5 [17]3 years ago
4 0

Step-by-step explanation:

Pythagorean Formula = a2 + b2 = C

which is a = Side of triangle

b = Side of Triangle

c = Hypotenuse

Bess [88]3 years ago
3 0

Answer:

Step-by-step explanation:

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Right answer gets brainlist
yuradex [85]

Answer:

A(-7,2)

Step-by-step explanation:

8 0
3 years ago
A skyscraper is 396 meters tall. At a certain time of the day, it's casts a shadow that is 332 meters long. At what angle is the
emmasim [6.3K]

Answer:

56.96°

Step-by-step explanation:

The set up will give a right angles triangle where;

The height of the sky scraper = hypotenuse side = 396m

The length of the shadow will be the opposite = 332m

According to the SOH trig identity

sin theta = opp/hyp

sin theta = 332/396

sin theta = 0.8383

theta = arcsin 0.8383

theta = 56.96°

Hence the sun is at 56.96° above the horizon

6 0
3 years ago
Read 2 more answers
Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn (e) tomorrow if she works 10 hours at t
Zina [86]
34/4 = 8.5
$8.5 per hour
10 hours = $85
8 0
3 years ago
A recent survey of students at John Tukey High School revealed that
RoseWind [281]

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that 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.

18% of the students are in favor of changing the dress code.

This means that p = 0.18

You randomly select 15 students

This means that n = 15

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

P(X \geq 3) = 1 - P(X < 3)

In which

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051

P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678

P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

8 0
3 years ago
What is the value of m in the ecuation 1/2m -3/4n = 16, when n =8 ?
soldi70 [24.7K]

Answer: m=44

Step-by-step explanation:

1/2m-3/4n = 16

1/2m-3/4(8) = 16

1/2m-24/4 = 16

1/2m-6 = 16

1/2m = 22

m=44

8 0
2 years ago
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