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jek_recluse [69]
3 years ago
6

About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer. Find

the radius of the region. Round your answer to the nearest tenth.
Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Step 1

<u>Find the total area</u>

Total area=(1,150,000/18,075)=63.62 square kilometer

The area of a circle is equal to

A=\pi * r^{2} \\ 63.62= \pi * r^{2}\\r=\sqrt{(63.62/\pi)} \\r=4.5\ km

therefore

the answer is

4.5\ km

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A bus travels at a constant speed of 48 km/h. How long will it take to travel 600 km?
grigory [225]

Answer:

It will take 12 and 30 hours

Step-by-step explanation:

To solve this, you need to divide by <u>distance needed to travel by the speed</u>

600/48 is equal to 12.5 hours.

.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore <u>the final answer is 12.5 hours</u>

I hope this helps :)

7 0
2 years ago
Multiply and simplify. A) 36 1/12 B) 36 1/6 C) 41 1/12 or D) 41 1/6
Scorpion4ik [409]
1 Convert 12\frac{2}{3}12
​3
​
​2
​​ to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
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​​ =
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​​
\frac{12\times 3+2}{3}\times 3\frac{1}{4}
​3
​
​12×3+2
​​ ×3
​4
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​1
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2 Simplify 12\times 312×3 to 3636
\frac{36+2}{3}\times 3\frac{1}{4}
​3
​
​36+2
​​ ×3
​4
​
​1
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3 Simplify 36+236+2 to 3838
\frac{38}{3}\times 3\frac{1}{4}
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​38
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​4
​
​1
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4 Convert 3\frac{1}{4}3
​4
​
​1
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​c
​
​b
​​ =
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​ac+b
​​
\frac{38}{3}\times \frac{3\times 4+1}{4}
​3
​
​38
​​ ×
​4
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​3×4+1
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5 Simplify 3\times 43×4 to 1212
\frac{38}{3}\times \frac{12+1}{4}
​3
​
​38
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​4
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6 Simplify 12+112+1 to 1313
\frac{38}{3}\times \frac{13}{4}
​3
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​4
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​13
​​

7 Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}
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\frac{38\times 13}{3\times 4}
​3×4
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8 Simplify 38\times 1338×13 to 494494
\frac{494}{3\times 4}
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9 Simplify 3\times 43×4 to 1212
\frac{494}{12}
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10 Simplify
\frac{247}{6}
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11 Convert to mixed fraction
41\frac{1}{6}41
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​1
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41 and 1/6
4 0
3 years ago
A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's
Dominik [7]

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet

3 0
2 years ago
Type of angle:<br> Angle measures:
icang [17]

Answer:

I don't get this.......

5 0
3 years ago
pls help with this immediately!!! (only answer if u know bc i cannot get this wrong so don’t try guessing. i’ll be giving braini
arsen [322]

Answer:

your answer should be $16.50 :)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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