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qaws [65]
3 years ago
13

How to solve 45 45 90 triangle given hypotenuse?

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0
From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.
 
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Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operat
arsen [322]
The greatest number is 5. 3 cans of regular and 4 cans of diet. The most 15 can be divided by similarly to 20 is by 5.
8 0
2 years ago
Please help me with this question and please tell me how I would put this into a calculator please...
AnnyKZ [126]

Answer:

6

Step-by-step explanation:

\frac{2}{3}x+4=\frac{2}{3} *\frac{3}{1}+4 = 2+4=6

3 0
3 years ago
The price of sneakers reduced $6 per week for 7 weeks. By how much did the price of the sneakers change over 7 weeks?
mylen [45]

Answer:

7(-6)=-42

After 7 weeks the price will be reduced by 7 times $6

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8 0
3 years ago
Building a is 200200 feet shorter than building
Tresset [83]
You know you have 2 building A and B so divide the total hight of both towers by 2; total of 7650765. You know Building A is 20020 feet shorter thus you subtract that from 7650765.
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8 0
3 years ago
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 8 insects is exposed to the insecticide in
xeze [42]

Answer:

19.77% probability that exactly one insect will survive

Step-by-step explanation:

For each insect, there are only two possible outcomes. Either they survive, or they do not. The probability of an insect surviving is independent of other insects. 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.

A certain insecticide kills 70% of all insects in laboratory experiments

So 100 - 70 = 30% survive, which means that p = 0.3

A sample of 8 insects is exposed to the insecticide in a particular experiment.

This means that n = 8

What is the probability that exactly one insect will survive?

This is P(X = 1).

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

P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977

19.77% probability that exactly one insect will survive

6 0
3 years ago
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