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MrRa [10]
3 years ago
9

Can someone help me please

Mathematics
1 answer:
malfutka [58]3 years ago
5 0

Answer:

∠x = 50°

Step-by-step explanation:

arc opposite angle x = 130°    (360° - 30° - 100° - 100° = 130°)

∠x = 1/2(130 - 30)              (angles formed by secants theorem)

∠x = 50°

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Please help me with this ASAP Don’t ANSWER With links please ****
Lemur [1.5K]

Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

10^2=(6)^2+h^2

100=36+h^2

100-36=h^2

64=h^2

Taking square root on both sides, we get

\sqrt{64}=h

8=h

The lateral area of a cone is:

A_L=\pi rl

A_L=\pi (6)(8)

A_L=48\pi

The surface area of a cone is:

A_S=\pi rl+\pi r^2

A_S=\pi (6)(8)+\pi (6)^2

A_S=48\pi +36\pi

A_S=84\pi

Volume of cone is:

V=\dfrac{1}{3}\pi r^2h

V=\dfrac{1}{3}\pi (6)^2(8)

V=\dfrac{288}{3}\pi

V=96\pi

Therefore, the lateral area of a cone is 48\pi sq. units, the surface area of a cone is 84\pi sq. units and the volume of the cone is 96\pi cubic units.

7 0
3 years ago
The philosophers Socrates, Plato, and Aristotle shared what common belief? A) democracy is the best form of ruling the masses B)
GenaCL600 [577]

Answer:

A

Step-by-step explanation: democracy is the best form of ruling the masses

8 0
3 years ago
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HELP PLEASE I need help look below for the picture and please if you can explain your answer if not that’s fine but this is a bi
Olegator [25]

Answer:

y = (3/2)x - 3

Step-by-step explanation:

Slope-Intercept Form is: y = mx + b, where m is the slope and b is the y intercept.

The slope is (3-0)/(4-2) = 3/2

The y-intercept is shown in the graph to be (0,-3).

The equation is y = (3/2)x -3

3 0
3 years ago
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Anyone help me pls :(
Elis [28]

Answer:

1 - G;

2 - R;

3 - E;

4 - D;

5 - T;

6 - J;

7 - O;

8 - B;

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) * 180 ∘ where n is the number of sides.

1) (4 - 2) * 180 = 360 therefore X + 100 + 118 + 53 = 360  =>  X = 360 - 100 - 118 - 53 = 89   =>   X = 89

2) (5 - 2) * 180 = 540  => 90 + 90 + X + 128 + X = 540 => 2*X = 540 - 90 - 90 - 128 = 232   =>   X = 116

3) (6 - 2) * 180 = 720 => 101 + 126 + X + 96 + 147 + 135 = 720 => X = 720 - 101 - 126 - 96 - 147 - 135 = 115   =>   X = 115

4) (9 - 2) * 180 = 7 * 180, since all angles are equal the answer is 7 * 180 / 9 = 7 * 20 = 140    =>   X = 140

5) (5 - 2) * 180 = 540 => 90 + 131 + 102 + X + 145 = 540 => X = 540 - 90 - 131 - 102 - 145 = 72   =>   X = 72

6) Since the sum of the linear pair angles equal 180, X = 180 - 70 = 110 => X = 110

7) (4 - 2) * 180 = 360; Linear pair angle for 73 is 180 - 73 = 107, that means X + 102 + 39 + 107 = 360  =>  X = 360 - 102 - 39 - 107 = 112   =>   X = 112

8) (5 - 2) * 180 = 540;  Linear pair angle for 84 is 180 - 84 = 96;  Linear pair angle for 79 is 180 - 79 = 101;  Linear pair angle for 34 is 180 - 34 = 146; so X + 90 + 96 + 101 + 146 = 540   =>   X = 540 - 90 - 96 - 101 - 146 = 107  => X = 107

4 0
3 years ago
What happens to the mean of the data set {2, 4, 7, 6, 3, 6, 7} if the number 25 is added?
Margaret [11]

Answer:

It goes up by 2.5

Step-by-step explanation:

Mean equation: (n₁ + n₂ + n₃ + ...)/n

Current mean: (2 + 4 + 7 + 6 + 3 + 6 + 7)/7 = 35/7 =<em> 5</em>

New mean: (2 + 4 + 7 + 6 + 3 + 6 + 7 + 25)/8 = 60/8 = <em>7.5</em>

Difference: 7.5 - 5 = 2.5

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3 years ago
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