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anastassius [24]
3 years ago
13

The cylinder shown has a lateral surface area of about 60 square inches. Which answer is closest to the height of the cylinder?

Use 3.14 to approximate pi.
2.12 inches

3.18 inches

6.36 inches

20 inches
Mathematics
2 answers:
LiRa [457]3 years ago
8 0

Answer: 3.18

Step-by-step explanation:

Virty [35]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

Assuming the cylinder has a radius of the cylinder is 3 inches, then r=3

Given that the lateral surface area of the cylinder is 60, then we can use the formula:

L.S.A = 2\pi \: rh

We substitute the values to get;

60 = 2 \times 3.14 \times 3h

We solve for h to get:

h =  \frac{60}{2 \times 3.14 \times 3}  =  \frac{10}{3.14}  = 3.1847

In this case the correct answer is 3.18 inches.

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A car enters a turnpike 22 miles north of the town. The car travels north at an average speed of 60 miles per hour. How far is t
QveST [7]

Answer:

y = 60x + 22

262 miles

Step-by-step explanation:

Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22.  You also know the rate at which the car travels is 60 miles per hour, which is the slope (m).  Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:

y = 60x + 22, where y = the total miles and x = the number of hours traveled

After 4 hours:

y = 60(4) + 22 = 240 + 22 = 262 miles

8 0
3 years ago
Type SSS, SAS, ASA, SAA, or HL to<br> describe these triangles.
Bingel [31]

Answer:

SAS

Step-by-step explanation:

There is one common side (S)

both the triangles have 90° common (A)

Opposite sides are equal which is given (S)

They both are right angled triangles

5 0
2 years ago
A loan is paid off in 30 years with a total of $99,000. It had a 3% interest rate that compounded monthly. What was the principa
gayaneshka [121]

Answer:

The principle will be "40295.63". A further explanation is given below.

Step-by-step explanation:

The given values are:

Total amount,

A = 99,000

Rate of interest,

R = 3%

Time period,

T = 30 years

  = 360 months

As we know,

⇒ A=P(1+\frac{{\frac{R}{12} }}{100} )^T

On substituting the values, we get

⇒ 99000=P(1+\frac{\frac{3}{12}}{100})^{360}

⇒ 99000=P(1+\frac{\frac{1}{4} }{100}) ^{360}

⇒       P=\frac{99000}{(1.0025)^{360}}

⇒       P=40295.63

4 0
3 years ago
I'm not sure if it's the correct answer​
sammy [17]

Answer:

I just looked it up and that is correct!

5 0
3 years ago
Help me solve this question
OLEGan [10]

Consider the first term on the left side.

\displaystyle \frac{2\sin{A}}{\cos{3A}}\\\\=\frac{2\sin{A}\cos{A}}{\cos{3A}\cos{A}}\qquad\text{multiply by cos(A)/cos(A)}\\\\=\frac{\sin{2A}}{\cos{3A}\cos{A}}\qquad\text{double angle formula for sin}\\\\=\frac{\sin{(2A-A)}}{\cos{3A}\cos{A}}=\frac{\sin{3A}\cos{A}-\cos{3A}\sin{A}}{\cos{3A}\cos{A}}\\\\=\tan{3A}-\tan{A}

Then the sum of the three terms on the left is

\left(\tan{3A}-\tan{A}\right)+\left(\tan{9A}-\tan{3A}\right)+\left(\tan{27A}-\tan{9A}\right)\\\\=\tan{27A}-\tan{A}\qquad\text{Q.E.D.}

4 0
3 years ago
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