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NeTakaya
3 years ago
11

Find the length of the unknown side. 25 cm 15 cm

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:

b = 20 cm.

Step-by-step explanation:

<u>Define and explain:</u>

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.

<u>Solve:</u>

a^2+b^2=c^2

a,b-legs

c-hypotenuse

15^2+b^2=25^2

225+b^2=625

625-225=400

b^2=400

b=20

<u>Conclude:</u>

Therefore, the length of the unknown side is 20 centimeters.

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Joni earns $300 per week. If she gets a 25% raise, how much more money will she earn each week?
alina1380 [7]

Answer:

\huge\boxed{$75}$75

Step-by-step explanation:

Joni currently earns $300 per week (given)

To find how much more she will earn each week, write an expression adding the original pay and the raise amount.

$300 + 25%

Find 25 as a decimal for multiplication

25%  = 25/100 = 0.25

Write an expression to represent the scenario

Expression example 1:

$300 + 0.25(300)

This expression adds the original pay and the new raise together.

Expression example 2:

$300 (1.25)

This expression already takes the new pay into account by finding 125% of the original pay.

Simplify both expressions

Expression 1:

$300 + 0.25(300)

$300 + $75

$375

Expression 2:

$300 (1.25)

$375

Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.

New amount - original amount = amount increase

Substitute known values into the equation

$375 - $300

Simplify

$75

Joni will earn $75 more each week.

Let me know if you have any questions!

3 0
3 years ago
Read 2 more answers
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