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dangina [55]
3 years ago
13

Find the surface area of a hemisphere with a diameter of 26 cm. Round your answer to the nearest tenth.

Mathematics
1 answer:
Katarina [22]3 years ago
4 0
The surface area of a sphere is 4 \pi  r^{2}.

Hence, the surface area of a hemisphere is half that, 2 \pi  r^{2}.

If the base is also included then the surface area will be 3 \pi  r^{2}.

Given,

Diameter = 26 cm

Therefore, Radius = \frac{26}{2} = 13 cm

Thus, 

Area = 3 *  \pi *  13^{2} = 3 * \pi * 169 = 507 \pi = = 1592.8 cm^{2} [approx.]
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3 years ago
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An angle measures 111.4° more than the measure of its supplementary angle. What is the measure of each angle?
fomenos

The measure of the supplementary angles are 34.3 and 145.7 degrees.

<h3>What are supplementary angles?</h3>

Supplementary angles are those angles that sum up to 180 degrees.

In other words, two angles are Supplementary when they add up to 180 degrees.

Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.

Hence,

let

x = measure of the other angle

x + x + 111.4 = 180

2x + 111.4 = 180

subtract 111.4 from both sides

2x + 111.4 - 111.4 = 180 - 111.4

2x = 68.6

divide both sides by 2

x = 68.6 / 2

x = 34.3

Other angle  = 34.3 + 111.4 = 145.7°

Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.

learn more on supplementary angles here: brainly.com/question/15966137

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6 0
1 year ago
Find the slope of the line that contains the points (-9, -3) and (-19, -3).
NNADVOKAT [17]

Answer:

Slope (m) = 0

Step-by-step explanation:

We will use this formula to find the slope⤵⤵⤵

\frac{y _{2} - y _{1}  }{x _{2} - x _{1}  }

(Sorry if it's a bit small btw)

Now we plug in the values accordingly:

-3 - (-3) = -3 + 3 = 0

-19 - (-9) = -19 + 9 = -10

Slope = 0/-10

So we have 0/-10, which means our slope is actually just 0.

(This also means that the line on the graph will be horizontal.)

Hope this helps you :)

7 0
2 years ago
2. Find the exact area of a circle with a diameter of 5 yards. Use 3.14 for T. (1 point)
NemiM [27]

Answer:

Step-by-step explanation:

radius r = diameter/2 = 2.5 yards

area = πr² = 6.25π square yards ≅ 19.625 square yards

6 0
3 years ago
PLEASE HELP MEEEEE!!!!
defon

Answer:

5

Step-by-step explanation:

The leading coefficient is the coefficient with a variable with the greatest exponent.The exponent is the number you would say "the power to". What I mean is let's say you have this number: 3^{2} . The exponent would be 2 in this equation because it's saying what power 3 is too. Therefore, 5 is the leading coefficient.

8 0
3 years ago
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