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Llana [10]
2 years ago
6

The distance between two cities on a map is 4.5cm. The map scale is 1cm : 40 miles. What is the actual distance between the two

cities? please help
Mathematics
1 answer:
eimsori [14]2 years ago
5 0

Answer: 180 miles

Step-by-step explanation: 1cm=40 miles. There is 4.5 so 4*40=160 and there is also half a centimeter, which is 20 miles. 160+20

Hope this helps and brainliest would be appreciated

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The base of a right rectangular prism is 20 cm2. If the height of the prism is 5 cm, what is its volume?
tekilochka [14]
General formula to find volume of prism
v = base area × height

Input the numbers to the formula
v = base area × height
v = 20 × 5
v = 100

The volume is 100 cm³
6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 5x-30?<br> A. 5(x-30)<br> B. 5(x-6)<br> C. 5x(x-6)<br> D. x(5-30)
maxonik [38]
The answer is B because 5 times x is 5x and 5 times 6 is 30. Since there is a subtraction sign, it would be equal to 5x-30
7 0
3 years ago
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Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

But

<h3>log_{10}(10)  = 1</h3>

So we have

x =  log_{10}(1200)

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

That's

<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0
3 years ago
Please help I will mark brainliest I'm really in need now<br> (Please explain)
Ksivusya [100]

Answer:

i think the second question (the choose the Function) means choose the function that has changed the most.

the first choose function one, i dont know but... according to wikipedia, "an initial value problem is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem." hope this helps

Step-by-step explanation:

6 0
2 years ago
Item 19 A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball i
Lady_Fox [76]
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.

Volume of cylinder: πr²h
                                   π2.5²(20) = 392.7 cm³

Volume of sphere: 4/3πr³
                                 4/3π2.5³ = 65.45 cm³

392.7 - 65.45 = 327.25

The amount of space in the container unoccupied by the rubber balls is 327 cm³.
7 0
3 years ago
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