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BlackZzzverrR [31]
3 years ago
6

Find the area of this quarter circle. r=6

Mathematics
1 answer:
boyakko [2]3 years ago
5 0

28.3

Step-by-step explanation:

imagine it's a complete circle, and find its are

pi × r^2

which is 36pi (keep ur answer in pi for now)

because it's a quarter of a circle ( 1/4) we decide the are of the full circle by 4 to get the quarter's area

36pi ÷4 = 28.27433388 which is about 28.3 ( as u see we kept it in pi for a more accurate number)

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ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ?
Marrrta [24]
EF = 50 in.

In similar figures, corresponding sides are proportional.  We use the similarity statement ABCD~EFGH to write a proportion:

\frac{AB}{EF}=\frac{AD}{EH}
\\
\\ \frac{30}{x}=\frac{45}{75}

Cross multiply the proportion:
45*x = 75*30
45x = 2250

Divide both sides by 45:
45x/45 = 2250/45
x = 50
3 0
3 years ago
A florist arranges 4 flower arrangements in 92 minutes.
Black_prince [1.1K]

Answer:

\boxed {\boxed {\sf 9 \ arrangements }}

Step-by-step explanation:

Let's set up a proportion using the following setup:

\frac{arrangements}{minutes} =\frac{arrangements}{minutes}

We know that the florist can arrange 4 in 92 minutes.

\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}

\frac{4}{92} =\frac{x}{207}

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

207*\frac{4}{92}=\frac{x}{207}*207

207*\frac{4}{92}=x

207*0.0434782609=x

9=x

The florist can arrange <u>9 arrangements</u> in 207 minutes.

5 0
3 years ago
PLEASE HELP, I WILL GIVE YOU BRAINLIEST!
TEA [102]

Step-by-step explanation:

i hope this will help you

3 0
3 years ago
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Answer:

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6 0
2 years ago
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Austin is on the swim team. Each week he swims a total of 3000 meters. How many kilometers does he swim each week?
marishachu [46]

Answer:

3 km

Step-by-step explanation:

<em>(NOTE: One kilometer is 1000 meters)</em>

Divide 3000 by 1000 to get 3

8 0
3 years ago
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