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3 years ago

Each lap around a track is 1/4 mile. How many laps would tou have to run for a 3-mile workout?

Mathematics

2 answers:

Marysya12 [62]3 years ago

7 0

Answer:

You would run 12 laps.

Step-by-step explanation:

4 laps = mile because...

4x $\frac{1}{4}$ =1

If 4 laps are one mile, multiply 3 times 4 because you want a 3-mile workout...

3x4=12.

Hope this helps you out!! Have an amazing day :)

Leviafan [203]3 years ago

3 0

Answer:

12 laps

Step-by-step explanation:

1/4 times 12 =3

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The edge of each cube used to build this rectangular prism is 13 inch long. Which equation shows the volume of the prism, in cub

Vikki [24]

Dont see any answer choices... but Volume= L*W*H

A cube, the sides are equal. So 13^3 or 13*13*13 = the volume of the cube. Then work your way to the rectangular prism.

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3 years ago

What is the slope of the line that passes through the points (-3, 5) and (1, 7)?

Stells [14]

Answer: The slope of the line is $\frac{1}{2}$

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, given the points $(-3, 5)$ and $(1, 7)$ , you can identify that:

$y_2=5\\y_1=7\\\\x_2=-3\\x_1=1$

Knowing these values you can substitute them into the formula for calculate the slope:

$m=\frac{5-7}{-3-1}$

Finally, evaluating, you get that the slope of that line is:

$m=\frac{-2}{-4}\\\\m=\frac{1}{2}$

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3 years ago

What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

then $sin(\alpha )$ = 3/5 (For bigger triangle)

Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area = $\frac{1}{2}R^{2}\beta$ [R = slant height]

Given lateral surface area =60 $\pi$ = $\frac{1}{2}(\frac{5R}{3} )^{2} \beta$ ...................................1

$2\pi R=\frac{5R}{3}\beta$ ................................................2

$\beta=\frac{6\pi }{5}$

Put angle beta in equation 1 and find the value of R

R =6 cm

Height = $\frac{4R}{3}$

Thus volume = $\frac{1}{3}\pi6^{2}*8$

=301.44

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2 years ago

Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in exponential form by

Greeley [361]

9x40= 360

9x30= 270 so the common factor is 9 I have no idea about the exponent stuff

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2 years ago

Read 2 more answers

A large pizza has a diameter of 14 inches. A medium pizza has a diameter of 10 inches. How much larger is the area of the large

Arte-miy333 [17]

Answer:

The bigger pizza has a diameter of 14 inches, or a radius of 14 / 2 = 7 inches.

The smaller pizza has a diameter of 12 inches, or a radius of 12 / 2 = 6 inches.

Step-by-step explanation:

The area of a circle is πR2 where R is the radius.

The difference in the size of the pizzas is

Area of bigger pizza - Area of smaller pizza

= π(7 inches)2 - π(6 inches)2 = = 49π inches2 - 36π inches2 = 13π inches2

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2 years ago