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cluponka [151]
2 years ago
12

Pleaseeeee help with this! Thank you so much!

Mathematics
1 answer:
algol [13]2 years ago
6 0

Answer:

≈ 7.85 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 225π , then

πr² = 225π ( divide both sides by π )

r² = 225 ( take square root of both sides )

r = \sqrt{225} = 15

the arc length is calculated as

arc = circumference × fraction of circle

      = 2πr × \frac{30}{360}

      = 2π × 15 × \frac{1}{12}

      = 30π × \frac{1}{12}

      = \frac{30\pi }{12}

      ≈ 7.85 cm ( to 2 dec. places )

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The gates of an amusement park are closely monitored to determine whether the number of people in the amusement park ever poses
belka [17]

Answer:

B. The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.

Step-by-step explanation:

Rate at which people enter:

e(x)=0.03x^3 + 2

Rate at which people leave:

L(x)=0.5x + 1

Rate at which the number of people in the park is changing:

(e - L)(x) = 0.03x^3 + 2 - (0.5x + 1) = 0.03x^3 - 0.5x + 1

4 hours after the gates open, the rate is:

(e - L)(4) = 0.03(4)^3 - 0.5(4) + 1 = 0.92 hundreds of people per hour or 0.92*100 = 92 people per hour

6 0
3 years ago
I don’t know how to answer this. please helppp!!!
mestny [16]

Answer:

x=8

Step-by-step explanation:

the larger triangle has a scale factor of 4/3, so 4/3 times 5x+2=7x

(20x+8)/3=7x

20x+8=21x

8=x

4 0
3 years ago
Read 2 more answers
Please help with the even numbers!! example, 2,4,6,8,10 :)) ty!!
Murljashka [212]

1) 2 with a small 4 at the top like an exponent

5 0
3 years ago
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telo118 [61]

Answer:

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8 0
3 years ago
4/f + 11 =29 what does f =
Delvig [45]
\frac{4}{f} + 11 = 29

First, subtract '11' from each side.
\frac{4}{f} = 29 - 11

Second, subtract '29 - 11' to get '18'.
\frac{4}{f} = 18

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
4 = 18f

Fourth, once again, we need to get 'f' alone. Divide both sides by 18. 
\frac{4}{18} = f

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).
4 \div 2 = 2  \\  18 \div 2 = 9

Seventh, we can now rewrite our fraction in simplest form and switch sides.
f =  \frac{2}{9}

Answer in fraction form: \fbox {2/9}
Answer in decimal form: \fbox {0.2222}

7 0
3 years ago
Read 2 more answers
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