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solong [7]
2 years ago
15

Surface area question:

Mathematics
1 answer:
Dafna1 [17]2 years ago
3 0

Answer:

190π (not part of the answer choices)

Step-by-step explanation:

The surface area of a cylinder can be found using the formula below:

SA=2\pi r^2+\pi dh where r is the radius of the base, d is the diameter of the base and h is the height of the cylinder.

Plug in the given values

SA=2\pi (\frac{10}{2}) ^2+\pi (10)(14)\\SA=2\pi (\frac{100}{4})+140\pi\\SA=2\pi (25)+140\pi\\SA=50\pi+140\pi\\SA=190\pi

Therefore, although this answer isn't one of the choices, the surface area of the cylinder is 190π.

I hope this helps!

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (XY) be the unknown e
Tresset [83]

Answer:

(6, -17)

Step-by-step explanation:

Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:

The midpoint formula is given as M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}).

Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.

Let the other endpoint be (x_1, y_1)

Midpoint = M(5, -12)

Let the given endpoint = (4, -7) = (x_2, y_2)

Thus:

M(5, -12) = (\frac{x_1 + 4}{2}, \frac{y_1 +(-7)}{2})

Rewrite the equation to find the coordinates of the other endpoints

5 = \frac{x_1 + 4}{2} and -12 = \frac{y_1 - 7}{2}

Solve for each:

5 = \frac{x_1 + 4}{2}

5*2 = \frac{x_1 + 4}{2}*2

10 = x_1 + 4

10 - 4 = x_1 + 4 - 4

6 = x_1

x_1 = 6

-12 = \frac{y_1 - 7}{2}

-12*2 = \frac{y_1 - 7}{2}*2

-24 = y_1 - 7

-24 + 7 = y_1 - 7 + 7

-17 = y_1

y_1 = -17

Ordered pair of the other endpoint is (6, -17)

3 0
3 years ago
Britney is trying out for the track team along with 24 other people nine people were running distance seven people were there to
ivolga24 [154]

Answer:

The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.

Step-by-step explanation:

3 0
2 years ago
- In the 2016 Summer Olympics, the U.S. team won
kolezko [41]
The answer is 52.


20+52=72
5 0
2 years ago
Emma starts at one end of a 45-mile-long bike trail. After
aleksley [76]

Answer:

She has already reached the end of the trail.

Step-by-step explanation:

216 is a greater number than 45 miles

8 0
2 years ago
Can you help me with this question please
Aleksandr-060686 [28]

Answer:

The actual length of the lap = 250 meters

Step-by-step explanation:

∵ The scale factor of the map is 1:1000

∵ The length of the lap on the map is 25 cm

∴ \frac{1}{1000}=\frac{25}{x}

Where x is the actual length of a lap

∴ x = (25 × 1000) ÷ 1 = 25000 cm

∵ 1 meter = 100 centimeter

∴ The actual length of the lap = 25000 ÷ 100 = 250 meters

7 0
3 years ago
Read 2 more answers
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