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2 years ago

If snow accumulates at a rate of 2 inches every 3 hours, how many hours will it take to accumulate 2 feet of snow?

Mathematics

2 answers:

Effectus [21]2 years ago

7 0

Answer:

12hours

Step-by-step explanation:

24inch-2feet

24/2=12

Bumek [7]2 years ago

6 0

Correct answer:
12 hours !!

Explanations:
2 feet = 24 inches
2 inches per 3 hours
24 divided by 2 = 12

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Mia had $500 in her account after 5 years. If she got an

irina [24]

Answer:

The initial amount in the account is $333.33

Step-by-step explanation:

Here, we want to calculate the initial amount in the account.

Let the initial amount be $x

Mathematically;

Simple interest = PRT/100

where P is the amount deposited = $x

R is the rate = 10%

T is the time = 5 years

Simple interest = Present amount - Principal = $(500-x)

By substituting;

500-x = (x * 10 * 5)/100

100(500-x) = 50x

50,000 - 100x = 50x

50,000 = 100x + 50x

150x = 50,000

x = 50,000/150

x = 333.33333333

Which to the nearest penny ; x = $333.33

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3 years ago

Find the volume of the cone shown below.

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

The formula for volume of cone is $V=\frac{1}{3}\pi r^2 h$

Where

V is the volume

r is the radius of the circular base

h is the height of the cone

In the diagram shown, we can clearly see that height is 12, radius is 9. We can simply plug them into the formula and get our exact answer (leaving pi as pi):

$V=\frac{1}{3}\pi (9)^2(12)\\=324 \pi$

correct answer is D

6 0

3 years ago

Read 2 more answers

Special right triangles.

Oliga [24]

QUESTION 9

The given right angle triangle has its two legs equal to $x\:cm$ and the hypotenuse is $2\:units$ .

Using the Pythagoras theorem, we have

$x^2+x^2=2^2$

This implies that;

$2x^2=2^2$

$2x^2=4$

$x^2=2$

$x=\sqrt{2}$

$x=1.414$

$x\approx1.4\:units$

QUESTION 10

The given right angle triangle has its two legs equal to $x\:units$ and the hypotenuse is $7\:units$ .

Using the Pythagoras theorem, we have

$x^2+x^2=7^2$

This implies that;

$2x^2=7^2$

$2x^2=49$

$x^2=24.5$

$x=\sqrt{24.5}$

$x=4.95\:units$

QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be $x\:units$ , then the other side of the garden is also $x\:units$ since it was a square backyard.

The diagonal is the hypotenuse which is 40ft and the two legs are $x\:units$ each.

Applying the Pythagoras Theorem, we have;

$x^2+x^2=40^2$

$2x^2=1600$

$x^2=800$

$\Rightarrow x=\sqrt{800}$

$\Rightarrow x=28.28$

The length of one side of the garden is approximately 28cm.

QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.

It was given that the two lengths of the triangular support are of equal length.

Let the two lengths of the triangular support be $l\:cm$ each.

We then apply the Pythagoras theorem to obtain;

$l^2+l^2=92^2$

$\Rightarrow 2l^2=8464$

$\Rightarrow l^2=4232$

$\Rightarrow l=\sqrt{4232}$

$\Rightarrow l=65.05cm$

Therefore Nicole needs $l+l=65.05cm+65.05cm\approx130cm$ of wood to complete the support.

The correct answer is A.

QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.

Let the length of the two legs be $m\:inches$ each.

It was given that the hypotenuse of this triangle is $12\:inches$ .

Applying the Pythagoras Theorem, we have;

$m^2+m^2=12^2$

$\Rightarrow 2m^2=144$

$\Rightarrow m^2=72$

$\Rightarrow m=\sqrt{72}$

$\Rightarrow m=8.49$

The length of one leg of the hypotenuse is approximately 8.5 inches to 1 decimal place.

QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.

Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

Let this distance be $d\:ft$ , then using the Pythagoras theorem;

$d^2=90^2+90^2$

$d^2=8100+8100$

$d^2=16200$

$\:d=\sqrt{16200}$

$\:d=127.279$

Therefore the distance from home plate to second base is 127 ft to the nearest foot.

QUESTION 15.

The distance from third base to first base is also 127 ft to the nearest foot.

The reason is that the diagonals of a square are equal in length.

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3 years ago

-9 ÷ ____ =5 (fill the blank)

Alona [7]

Answer:

The answer is -1.8

Step-by-step explanation:

5 x -1.8 = -9 = -9 divided by -1.8 = 5

3 0

2 years ago

Read 2 more answers

A sum of money is shared among Ben, Jack, and Sarah in the ratio 6 : 8 : 10.

alexdok [17]

Answer:

B:J:S

6:8:10

6+8+10= 24 parts all together

Sarah has $50 and equals 10 parts. So, each part is worth $5. (50/10=5)

Thus, Ben receives 6 parts, with each part being $5. So, Ben gets $30. (6x5=30)

8 0

3 years ago

Read 2 more answers

If snow accumulates at a rate of 2 inches every 3 hours, how many hours will it take to accumulate 2 feet of snow?​

If snow accumulates at a rate of 2 inches every 3 hours, how many hours will it take to accumulate 2 feet of snow?