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Natali [406]
3 years ago
13

Find the exact length of the third side.

Mathematics
2 answers:
pychu [463]3 years ago
8 0

Answer:

24x^{2} +7x^{2} =

step-by-step explanation:

You have to solve this to get your answer. This is a case where you have to use the pythagorean theorem.

vitfil [10]3 years ago
7 0

Answer:

this is a right angle triangle.

which means that we can use hypotenuse theorem to solve it.

the hypotenuse theorem:-

a^2 +b^2 =c^2

where a and b are the sides opposite to the hypotenuse.

[(the longest side) the longest side of the triangle is always opposite to the right angle]

so...

a = 24

b = 7

a^2 + b^2 = c^2

24^2 + 7^2 = c^2

576 + 49 = c^2

625 = c^2

don't stop here, you could lose marks. I have seen my classmates do this silly and small mistake and lose 1/2 a mark.

√625 = c

25 = c

thus the length of the third side is 25.

Step-by-step explanation:

i hope this helps.

have a good day :)

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The average performance rating of the employees at Company A is 6.5 on a scale from 1 to 10 (10 being highest). The standard dev
djyliett [7]

Answer:

The best choice would be hiring a random employee from company A

Step-by-step explanation:

<em>Supposing that the performance rating of employees follow approximately a normal distribution on both companies</em>, we are interested in finding what percentage of employees of each company have a performance rating greater than 5.5 (which is the mean of the scale), when we measure them in terms of z-scores.

In order to do that we standardize the scores of both companies with respect to the mean 5.5 of ratings

The z-value corresponding to company A is

z=\frac{\bar x-\mu}{s}

where

\bar x = mean of company A

\mu = 5.5 (average of rating between 1 and 10)

s = standard deviation of company A

z=\frac{\bar x-\mu}{s}=\frac{6.5-5.5}{2.1}=0.7142

We do the same for company C

z=\frac{\bar x-\mu}{s}=\frac{7.4-5.5}{6.8}=0.2794

This means that 27.49% of employees of company C have a performance rating > 5.5, whereas 71.42% of employees of company B have a  performance rating > 5.5.

So, the best choice would be hiring a random employee from company A

4 0
3 years ago
In 3 years' time, a girl will be over 18 years old. If she is now x years old, write an inequality in x.
Dvinal [7]

Answer:

x+3=18

If her age is currently x , then 3 years later it would be 18 .

so,

x+3=18

Hope this helps!!

please mark as branliest .

Thankyou

3 0
2 years ago
Read 2 more answers
What is the compounded interest after 3 years if you invest $10 000 and earn an interest rate of 5% per year?
denis23 [38]

Compound Interest is the interest that is <em>compounded on a particular sum of money or investment over a given period of time.</em>

  • The interest for the first year is $1,576.25
  • The sum of money after adding the original to the interest is $11,576.25
  • The interest on the new total is $13,400.96

  • Step 1: Find the interest for the first year.

The formula is given as:

A = P(1 + r/n)^nt

P = Principal = $10,000

R = Rate = 5%

n = 1

t = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 10,000(1 + 0.05/1)^(1)(3)

A = 10,000.00(1 + 0.05)^(3)

A = $11,576.25

I = A - P

Hence:

I = $11,576.25 - $10,000.00

I (interest) = $1,576.25

  • Step 2: Add the interest to the original amount.

$10,000 +  $1,576.25

= $11,576.25

  • Step 3: Determine interest in the new total

The formula is given as:

A = P(1 + r/n)^nt

P = Principal = $11,576.25

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 11,576.25(1 + 0.05/1)^(1)(3)

A = 11,576.25(1 + 0.05)^(3)

A = $13,400.96

Therefore,

  • The interest for the first year is $1,576.25
  • The sum of money after adding the original to the interest is $11,576.25
  • The interest on the new total is $13,400.96

To learn more, visit the link below:

brainly.com/question/16020930

5 0
3 years ago
Describe what happens to each secant line and compare this with the values of the slopes as the points get closer and closer to
shutvik [7]

Answer:

000000000792

Step-by-step explanation:

000000000

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=38%2B7%C2%B7%28x-3%29%3D9%C2%B7%28x%2B1%29" id="TexFormula1" title="38+7&middot;(x-3)=9&middot
AnnZ [28]

38 + 7x - 21 = 9x + 9

Combine like terms.

17 + 7x = 9x + 9

Eliminate a x.

17 = 2x + 9

8 = 2x

x = 4

6 0
2 years ago
Read 2 more answers
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