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12345 [234]
3 years ago
15

a rolling pin is shaped like a cylinder with a diameter of 2 inches and a height of 10 inches . how many square inches of space

does the rolling pin come in contact with after one complete roll?
Mathematics
1 answer:
Liula [17]3 years ago
3 0

Answer:

62.8 square inches

Step-by-step explanation:

we know that

To find out how many square inches of space the rolling pin comes in contact with after one complete roll, determine the lateral area of the rolling pin

The lateral area of a cylinder is given by the formula

LA=\pi Dh

we have

D=2\ in\\h=10\ in\\\pi=3.14

substitute

LA=3.14(2)(10)=62.8\ in^2

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The probability of spinning an even number, flipping tails, then spinning an odd number is
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Answer:

Step-by-step explanation:

6 0
2 years ago
A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i
lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

<em>Two triangles are similar when they have equal angles and proportional sides  </em>

It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other.  </u>

<u />

Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where H is the height of the flagpole, h=6 ft is the height of the person, A=5 ft is the length of the shadow of the flagpole and a=1\frac{1}{2}=1.5 ft is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

\frac{H}{h}=\frac{A}{a}   (1)

We know all these lengths except H, which is the value we want to to find.  

So, in order to approach this problem we have to find H from equation (1):  

H=\frac{A}{a}h  

H=\frac{5 ft}{1.5 ft}(6 ft)  

Then:

H=20 ft >>>>>This is the height of the flagpole

4 0
3 years ago
9. A granola recipe calls for 2 cups of
tigry1 [53]

Answer:

6 cups

Materials:

10 cups of almonds

2 batches

2 cups per batch

1 bag per batch

Left Over:

5 - 2 = 3

3 bags left over

2 bags used

6 cups left

7 0
3 years ago
Read 2 more answers
What is the circumference of a circle that's radius is 6.3​
77julia77 [94]
39.58 and this is because the radius is half of the diameter so the diameter can be though of as 2r. The formula is C= 2pi r
7 0
2 years ago
Read 2 more answers
Modern car company has come out with a new car model. Market analysts predict that 4,600 cars will be sold in the first month an
Arte-miy333 [17]

The first five terms of the sequence are; 4,600, 4,550, 4,500, 4,450, 4,400 and the total predicted number of sold cars for the first year is 51,900 cars

<h3>Arithmetic sequence</h3>

  • First month, a = 4,600 cars
  • Common difference, d = -50 cars

First five terms;

a = 4,600

a + d = 4600 + (-50)

= 4600 - 50

= 4,550

a + 2d

= 4600 + 2(-50)

= 4600 - 100

= 4,500

a + 3d

= 4,600 + 3(-50)

= 4,600 - 150

= 4,450

a + 4d

= 4600 + 4(-50)

= 4,600 - 200

= 4,400

cars predicted for the twelfth month.

a + 11d

= 4600 + 11(-50)

= 4600 + 550

= 4,050

Total predicted number of sold cars for the first year:

Sn = n/2{2a + (n - 1)d }

= 12/2{2×4600 + (12-1)-50}

= 6{9200 + 11(-50)}

= 6(9,200 - 550)

= 6(8,650)

= 51,900 cars

Learn more about arithmetic sequence:

brainly.com/question/6561461

#SPJ1

7 0
2 years ago
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