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77julia77 [94]
3 years ago
11

A map using the scale of 3/4 of an inch to aubergine 3 miles if the actual distance between two cities is 25 miles then what is

the length on the map
Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

Answer:

6.25 inches

Step-by-step explanation:

3/4 inches = 0.75 inches

If 0.75 inches is the map's scale for 3 miles, then:

0.75 inches / 3 miles = 0.25 inches per 1 mile

Multiply 0.25 inches inches per mile * 25 miles:

0.25 * 25 = 6.25 inches

OR:

0.75/3 = x/25

Multiply 25 by both sides:

x = (0.75/3)*25

x = 6.25 inches

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Step-by-step explanation:

Mean=sum of observations/no. of observations

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3 years ago
So can someone just kinda do these
Ann [662]

Answer:

1.) -5/4

2.) 2

3.) 7/3

4.) 4

5.) -6

6.) -1

7.) 5/3

8.) -4

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Step-by-step explanation:

this is what i got i hope they are all right

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5 0
3 years ago
Is perpendicular to the line y = 2x + 1<br> and through the point (-1,5)
Monica [59]

Answer:

-2x+3

Step-by-step explanation:

Using y=mx+b

To make the line perpendicular, you just need to make the slope (m=2) negative. To make it go through (-1, 5), you just need to adjust the b value to raise the graph to a point where it will pass through the point.

4 0
3 years ago
What is the mean of 13,6,8,6,15
Luden [163]

Hey there!

To start, the mean of the answer is also known as the average value of a set of numbers. This is calculated by dividing the sum of the set by the total amount of numbers.

In this case the sum of all the numbers is 13 + 6 + 8 + 6 + 15 which is equal to 48.

Now, divide 48 by the total number of numbers in the set: 48/5 = 9.6

Your final answer should be 9.6, or you can leave it in fraction form as 48/5.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by y=√x and y=x^2. Find V either by sl
Ede4ka [16]

Answer:

The volume of the solid is 3\pi/10

Step-by-step explanation:

In this case, the washer method seems to be easier and thus, it is the one I will use.

Since the rotation is around the y-axis we need to change de dependency of our variables to have f(x)\rightarrow f(y). Thus, our functions with y as independent variable are:

x=\sqrt{y}\\ x=y^2

For the washer method, we need to find the area function, which is given by:

A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]

By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function x=\sqrt{y} and the inner one by x=y^2. Thus, the area function is:

A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)

Now we just need to integrate. The integration limits are easy to find by just solving the equation \sqrt(y)=y^2, which has two solutions y=0 and y=1. These are then, our integration limits.

V=\pi\int_{0}^1 (y-y^4)dy\\ V=\pi (\int_{0}^1 ydy - \int_{0}^1 y^4dy)\\ V=\pi/2-\pi/5\\\boxed{V=3\pi/10}

3 0
3 years ago
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