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kolezko [41]
3 years ago
5

Given the isosceles trapezoid, find the value of x

Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

x = 11

Step-by-step explanation:

The lower base angles are congruent, so

4x + 41 = 85 ( subtract 41 from both sides )

4x = 44 ( divide both sides by 4 )

x = 11

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The diameter of a table tennis ball is 20 millimeters.
KiRa [710]

The surface area of the table tennis ball will be around 1256.64 mm².

<h3>What is the sphere?</h3>

A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.

A sphere has surface area and volume based upon the radius of the sphere.

For example, if you have a sphere of radius r then its surface area will be 4πr² and volume will be (4/3)πr³.

The table tennis ball is the form of a sphere.

Given that,

The diameter of a table tennis ball is 20

Radius(r) = 20/2 = 10 mm

Surface area of an sphere = 4πr²

So,

Area = 4π(10)² = 1256.64 mm².

Hence "The surface area of the table tennis ball will be around 1256.64 mm²".

For more about a sphere,

brainly.com/question/9994313

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5 0
2 years ago
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Is anyone able to help me with this question, if you understand it ?
lana [24]

Answer:

X = 3.879 Y = 2.943

Step-by-step explanation:

I entered both functions into my graphing calculator and graphed them. Then, I clicked 2nd Calc to find the intersection point to which it said the answer above. Hope this helped.

4 0
3 years ago
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Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers
Alenkinab [10]

Given:

\sigma_A=3

n_A=6

\sigma_B=5

n_B=4

\overline{x}_A=\overline{x}_B

To find:

The variance. of combined set.

Solution:

Formula for variance is

\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}      ...(i)

Using (i), we get

\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}

(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

54=\sum (x_i-\overline{x}_A)^2

Similarly,

\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}

(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}

25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}

100=\sum (x_i-\overline{x}_B)^2

Now, after combining both sets, we get

\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}

\sigma^2=\dfrac{54+100}{6+4}

\sigma^2=\dfrac{154}{10}

\sigma^2=15.4

Therefore, the variance of combined set is 15.4.

7 0
3 years ago
Alicia draws a diagram to represent two forces, F1 and F2, acting on a body. The angle between the directions of the forces is 5
Nastasia [14]
Refer to the diagram shown below.

When the two forces F₁ and F₂ are added vectorially, the resultant force is R.
The angle x = 180° - 50° = 130°.

From the Law of Cosines, obtain
R² = F₁² + F₂² - 2F₁F₂ cos(130°)
Note that 2 cos(130°) = -1.2856.

Answer:
R = √(F₁²+ F₂² + 1.2856 F₁F₂ )

7 0
3 years ago
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Name 2 vertical angles
disa [49]

Answer:

alternate exterior angles and corresponding angles

6 0
3 years ago
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