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Basile [38]
1 year ago
8

Work out the bearing of D from C. (Hint: bearings are written with three digits.)

Mathematics
1 answer:
White raven [17]1 year ago
4 0

Answer:

050°

Step-by-step explanation:

The bearing of D from C is the angle between the north pole and the line joining C and D when moving in a clockwise direction.

From the diagram, the angle is 050°

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A cylinder has a radius of 6 inches and is 15 inches tall. what is the volume of the cylinder? express the answer in terms of pi
Vikki [24]

The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

<h3>How to calculate the volume of a cylinder?</h3>

The formula for calculating the volume of cylinder is expressed as:

V = πr²h

where

r is the radius

h isthe height

Given the following parameters

h = 15in

r = 6in

substitute

V =  6^2 * 15π
V  = 540 π cubic inches

Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

Learn more on volume of a cylinder here: brainly.com/question/9554871

6 0
1 year ago
Moby sold half his toy car collection, and then bought 12 more cars the next day. He now has 48 toy cars. How many cars did he h
castortr0y [4]

Answer: 72 cars.

Step-by-step explanation:

Let be "x" the number of toys that Moby had to start with.

According to the information given in the exercise, Moby sold half his toy car collection. This can be represented with the following expression:

\frac{1}{2}x

Then he bought 12 more cars, giving a total amount of 48 toy cars.

Therefore, the equation that represents this situation is the equation shown below:

x-\frac{1}{2}x+12=48

Now you must solve for "x" in order to find its value.

You get that this is:

\frac{1}{2}x+12=48\\\\\frac{1}{2}x=48-12\\\\\frac{1}{2}x=36\\\\x=(36)(2)\\\\x=72

7 0
3 years ago
A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.
EastWind [94]

Answer:

Surface Area of right cone  

               =\pi r(r+\sqrt{h^2 + r^2}

440 = \pi *7*(7+\sqrt{h^2+7^2})\\\\440 = 7\pi (7 + \sqrt{h^2+7^2})\\\\\frac{440}{7\pi } = 7 + \sqrt{h^2+49}\\\\\frac{440}{7\pi } - 7 = \sqrt{h^2+49}\\\\\frac{440-49\pi}{7\pi} =\sqrt{h^2+49}\\\\

\frac{286.062}{21.99} =\sqrt{h^2+49}\\\\13.0087= \sqrt{h^2+49}\\\\(13.0087)^2 = (\sqrt{h^2+49})^2\\\\169.227 = h^2 +49\\\\169.227 - 49 =h^2\\\\120.227 = h^2\\\\h = \sqrt{120.227}  = 10.96in

7 0
2 years ago
Finding the missing value in the following proportion <br> 17/5 = k/6
icang [17]
Hello There!

17/5 = 3.4
3.4 x 6 = 20.4

k = 20.4

Hope This Helps You!
Good Luck :) 

- Hannah ❤
7 0
3 years ago
Read 2 more answers
Divide x^3-3x^2-10x+24 by x-1
lesya [120]

Answer:

x^2 - 2x - 12 with remainder 12

Step-by-step explanation:

Synthetic division is the fastest way in which to carry out this division.

The divisor (x - 1) from long division corresponds to the divisor 1 in synthetic division.  Setting up synthetic division, we get:

1     /      1     -3     -10     24

                     1      -2     -12

      --------------------------------

             1      -2     -12      12

The first three digits {1, -2, -12} are the coefficients of the quotient, and 12 represents the remainder:

The quotient is 1x^2 - 2x - 12 and the remainder is 12.

6 0
3 years ago
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