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liq [111]
4 years ago
7

The city of Toronto’s population rose from 2,000,000 to 4,500,000 in the last twenty years of the twentieth

Mathematics
1 answer:
Ostrovityanka [42]4 years ago
7 0

Answer:

E

Step-by-step explanation:

We will first find the percentage increase of 20 years. Then we will divide that by 20 to get the annual average percentage increase.

To get the percentage increase, we will find the increased amount and divide that by original population (2,000,000). Multiply that by 100 to get the percentage.

So,

Increased amount = 4,500,000 - 2,000,000 = 2,500,000

Now the percentage increase:

\frac{2,500,000}{2,000,000}*100=125

So, in 20 years, the percentage increase is 125%

Per Year = 125/20 = 6.25% average per year

No correct answer in the answer choices from A through D, so E is the correct answer, None of These.

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IgorC [24]
Add 21 to both sides
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3 years ago
7.
Iteru [2.4K]

Answer:

a. 45 π

b. 12 π

c. 16 π

Step-by-step explanation:

a.

If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:

Radius: 3

Height: 5

Then the volume of the cylinder is:

V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π

b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:

Radius: 3

Height: 4

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π

c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):

Then we will have:

Radius: 4

Height: 3

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π

7 0
3 years ago
What is the value of x in the equation ?StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction.
Veronika [31]

Answer:

dont know sorry i wish i could help you use the internet

Step-by-step explanation:

4 0
3 years ago
Similar right triangle
adoni [48]

Answer: 6.25

Step-by-step explanation:

Because corresponding sides of similar triangles are proportional,

\frac{x}{2.5}=\frac{6+4}{4}\\\\x=2.5\left(\frac{6+4}{4} \right)=\boxed{6.25}

3 0
2 years ago
Two students from a group of eight boys and 12 girls are sent to represent the school in a parade.
Deffense [45]

<u>Answer</u>

c. 62/95


<u>Explanation</u>

Probability is the chance of an event happening.

Probability = (favorable outcome)/(total outcome)

P(girl) = 12/20 × 11/19

        = (12×11)/(20×19)

         = 132/380

         = 33/95

P( not a girl) = 1 - 33/95

                     = 62/95

8 0
3 years ago
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