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2 years ago

Fill in the blank to make the problem true.

Mathematics

1 answer:

ANTONII [103]2 years ago

5 0

Answer:

what he said lol

Step-by-step explanation:

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1. If a bicycle wheel has a diameter of 15 in. How far will the wheel rotate in 10 rotations?

WARRIOR [948]

Answer:

150 pi inches or 471.239 inches traveled

Step-by-step explanation:

First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.

You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel

The formula for circumference is 2(pi)(r) or (pi)(diameter)

We are given diameter, so let's find distance traveled for one rotation

pi(15 inches) = 15pi inches per rotation.

There are 10 rotations, so:

(15pi inches/rotation)(10 rotations) = 150pi inches travelled

150 x pi = 471.239 inches traveled

4 0

3 years ago

The total surface area of a cube is 294cm^2.<br><br>Work out the volume of the cube.

djverab [1.8K]

Answer:

343 cm ^3

Step-by-step explanation:

A cube has 6 squares of equal sizes. 294/6 = 49

The area of one square is 49

Since the area is the length squared, the square root of 49 is 7.

Volume of a cube is area times height. 49 x 7 = 343 cm^3

4 0

3 years ago

Read 2 more answers

Pls help i give u brainliest and 5 stars

Umnica [9.8K]

Answer:

Step-by-step explanation:

Diameter = 14 cm

r = 14/2 = 7 cm

Outer surface area of hemisphere =2πr²

= 2π*7*7

= 98π cm²

3 0

3 years ago

Read 2 more answers

What is the product in simplest form?<br><br> −8/9⋅5/6

Sedaia [141]

The answer is 20/27. 8/9x5/6=20/27.

4 0

3 years ago

CD is perpendicular to AB and passes through point C5, 12).

Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD $mCD = -\frac{1}{mAB}$

Hence we start from determining slope of AB

slope is given as

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

$m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1$

Hence $mAB=1$

There fore $mCD=-1$

(∵ Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

$m=\frac{y-y_1}{x-x_1}$

$-1=\frac{y-12}{x-5}$

$-x+5=y-12$

$y=-x+17$

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

$0=-x+17$

$x=17$

Hence the x intercept is 17

8 0

3 years ago