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Nitella [24]
3 years ago
13

If 10 miles is about 16 kilometers and the distance between two towns is 45 miles ,use a ratio table to find the distance betwee

n the towns in kilometers
Mathematics
2 answers:
diamong [38]3 years ago
8 0
10m : 16 km
x 4.5
45m : 72km.

gtnhenbr [62]3 years ago
8 0
First find what is the ratio of 1 mile: kilometers

miles:kilometers
10 : 16
1 : 1.6

so now it will be easier to solve. you want to find what is the ratio of 45 miles: kilometres.
miles:kilometers
1 : 1.6
45 : 1.6×45=72km
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Step-by-step explanation:

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2 years ago
The circumference of a circle is 65?. In terms of pi, what is the area of the circle?
iVinArrow [24]

Answer:

1056.25π square units

Step-by-step explanation:

A few formulas an definitions which will help us:

(1) \pi=\frac{c}{d}, where c is the circumference of a circle and d is its diameter

(2) A=\pi r^2, where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) d=2r \rightarrow r=\frac{d}{2}.

We can rearrange equation (1) to put d in terms of π and c, giving us (4) d = \frac{c}{\pi}, and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

A=\pi r^2\\=\pi\left(\frac{d}{2}\right)^2\\=\pi\left(\frac{d^2}{4}\right)\\=\pi\left(\frac{(c/\pi)^2}{4}\right)\\=\pi\left(\frac{c^2/\pi^2}{4}\right)\\=\pi\left(\frac{c^2}{4\pi^2}\right)\\\\=\frac{\pi c^2}{4\pi^2}\\ =\frac{c^2}{4\pi}

We can now substitute c for our circumference, 65, to get our answer in terms of π:

A=\dfrac{65^2}{4\pi}=\dfrac{4225}{4\pi}=1056.25\pi

8 0
3 years ago
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Svetradugi [14.3K]

Answer:

(26, \frac{57}{2})

Step-by-step explanation:

Hi there!

We are given the coordinates (26, 56) and (26, 1)

We want to find the midpoint of these two points

The midpoint can be found using the formula (\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}), where (x_1, y_1) & (x_2, y_2) are points

We have 2 points, which is what we need to find the midpoint, but let's label the values of the points to avoid confusion and mistakes when actually calculating

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Now substitute these values into the formula.

(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})

(\frac{26 + 26}{2} , \frac{56+ 1}{2})

Add the numbers together

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Divide

(26, \frac{57}{2})

Hope this helps!

4 0
2 years ago
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Answer:

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Step-by-step explanation:

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