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3 years ago

In the right triangle below b = 18 and c = 20, solve for a in simplified radical form.

Mathematics

1 answer:

Ket [755]3 years ago

3 0

Answer:

a = 2 radical 19

Step-by-step explanation:

a^2 + 18^2 = 20^2

a^2 + 324 = 400

subtract 324 from both sides

a^2 = 76

square root both sides

a = radical 76

simplify radical to get 2 radical 19

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Answer correctly please !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Luda [366]

Answer:

1. d<1 d less than 1

2.q<3 (q less than 3)

3.c>5 (c greater than)

4.d<d+3 (d less than d plus 3)

5.c<d+3 (c less than d plus 3)

6.q<q+2 (q less than q plus q)

Step-by-step explanation:

7 0

3 years ago

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

4 years ago

PLEASE ANSWER + BRAINLIEST!!

Drupady [299]

To solve this problem you must apply the proccedure shown below:
1. You have the followin quadratic equation given in the problem above: <span>x^2+3x+1
2. Therefore, you have:
x^3+3x=-1

(b/2)^2=(3/2)^2=9/4

x^2+3x+9/4=-1+9/4
(x+3/2)^2=5/4

Therefore, as you can see, the answer is: </span>(x+3/2)^2=5/4

6 0

3 years ago

The graph shown corresponds to someone who makes

Alex

Answer:

5$ an hour

Step-by-step explanation:

look at the x-axis it says hours :)

also the line has a point on 1,5 sooo that means 5 dollars an hour

also the slope is also just 5 lol

6 0

3 years ago

Read 2 more answers

What numbers are on the nnumber line starting with the number 1 then it has 10 spaces then 1.01 then 10 spaces then 1.02 then 10

Lerok [7]

You are referring to the thousandths spot.

1.00(0)000001

So, between any given number n to n.01 there are 10 numbers.

n.001, n.002, n.003, ..., n.01

5 0

3 years ago