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Kisachek [45]
2 years ago
9

Suppose you are constructing a scale model solar system using a scale ratio of 1 to 10 billion. In your scale model what will be

the diameter of Jupiter (in meters)? The diameter of jupiter is 143,000 km
A) 0.00143 m B) 0.0143 m C) 0.143 m D) 0.000143m​
Mathematics
1 answer:
Shkiper50 [21]2 years ago
6 0

Answer:

Step-by-step explanation:

First convert km to meters

143000 km = 143,000,000m = 1.43*10^8 m

Now convert 10 billion to scientific notation1  00

10 billion = 1 * 10^10

What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.

Now show what the ratio is for

1.43*10^8

========          Divide by the denominator

1 * 10^10

1.43 * 10^(8 - 10)

1.43 * 10 ^ - 2               meters

Answer: 0.0143m or B

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A triangular prism is 40 millimeters long and has a triangular face with a base of 24 millimeters and a height of 35 millimeters
abruzzese [7]

Answer:

26,508

Step-by-step explanation:

To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

The top= 12 x 24 x 35 = 10,080

The lateral faces: 12 x 37 x 37 = 16,428

Surface Area= 10,080 + 16,428 = 26,508

7 0
2 years ago
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
2 years ago
Which point is located at (0.25,-0.5) point A O point O point R​
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Answer:

• point C

Step-by-step explanation:

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