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3 years ago

If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle

Mathematics

1 answer:

Art [367]3 years ago

6 0

Answer:

Step-by-step explanation:

For a polygon of N sides, the sum is

N*(180-360/N) = N*180 - 360 degrees

Subtract (120 +93 +108 +101) from 540 for your answer

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Pythagoras help needed please

boyakko [2]

Answer:

See explanation

Step-by-step explanation:

Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

$\text{Diagonal}^2=\text{Side}^2+\text{Side}^2\\ \\\text{Diagonal}^2=5^2+5^2\\ \\\text{Diagonal}^2=25+25\\ \\\text{Diagonal}^2=50\\ \\\text{Diagonal}=\sqrt{50}=5\sqrt{2}\approx 7.07\ cm$

If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so

$\text{Diameter}=2\times 5=10\ cm$

Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.

6 0

3 years ago

a pet store has 2 kittens. one kitten weighs 15/16 pounds. the other kitten weighs 12/16 pounds. what is the difference of the w

Lostsunrise [7]

Subtract 15/16 and 12/16 to get 3/16

5 0

3 years ago

Each test contains 20 questions. In average, it takes a person to take each test 40 minutes. If I was to get stuck in one out of

kondor19780726 [428]

I think the answer is 144 minutes

4 0

3 years ago

Use the future value formula to find the indicated value. FV = $ 5330 n=24; i=0.08; PMT=? PMT=$ (round to the nearest cent)

spin [16.1K]

Hi there
The future value formula is
Fv=pmt [(1+r)^(n)-1)÷r]
Solve the formula for PMT
PMT=Fv÷[(1+r)^(n)-1)÷r]
So
PMT=5,330÷(((1+0.08)^(24)−1)÷(0.08))
PMT=79.83

Good luck!

4 0

3 years ago

What is the correct negation of "There is someone in Spain who speaks at least 10 languages"?1) "Everyone in Spain speaks at lea

Gnom [1K]

Answer:

4) "Everyone in Spain speaks at most 9 languages."

Step-by-step explanation:

A negation is a statement that contradicts the original statement. Since the original statement regards people in Spain, options 2, 5, 6 and 7 can be ruled out as they refer to speakers outside of Spain.

Evaluating the remaining statements.

1) "Everyone in Spain speaks at least 10 languages."

If that is true, then someone in Spain speaks at least 10 languages, it doesn't negate the original statement.

3) "There is someone in Spain who speaks at most 9 languages."

It only refers to one specific individual, it doesn't negate the original statement.

4) "Everyone in Spain speaks at most 9 languages."

This means that nobody in Spain speaks more than 9 languages, contradicting the original statement.

The answer is statement 4.

5 0

3 years ago