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UkoKoshka [18]
4 years ago
15

Can someone help with the work shown to find them

Mathematics
1 answer:
Studentka2010 [4]4 years ago
3 0

m(ar AB) = 60°, m(ar BAC) = 240°, m(ar BC) = 120°,

m(ar EA) = 92°, m(ar ECA) = 268°

Solution:

Let us take O be the center of the circle.

Given m∠AOB = 60° and m∠BOE = 32°

<em>Sum of the adjacent angles = 180°</em>

m∠EOC + 32° + 60° = 180°

m∠EOC + 92° = 180°

m∠EOC = 88°

<em>Angle in the diameter is 180°.</em>

∠AOC = 180°

<em>The angle measure of the central angle is congruent to the measure of the intercepted arc.</em>

m∠AOB = m(ar AB) = 60°

Central angle = intercepted arc

m∠AOC = m(ar AOC) = 180°

m(ar BAC) = m(ar AOC) + m(ar AOB)

                 = 180° + 60°

m(ar BAC) = 240°

m(ar BC) = m(ar BE) + m(ar EC)

              = 32° + 88°

m(ar BC) = 120°

m(ar EA) = m(ar EB) + m(ar AB)

              = 32° + 60°

m(ar EA) = 92°

m(ar ECA) = m(ar EC) + m(ar AOC)

                 = 88° + 180°

m(ar ECA) = 268°

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5! = 5*4*3*2*1.

3! = 3*2*1

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Then:  

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----- = ----------------------- = ------------- = ----------- = 5040 (answer) 
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3 0
3 years ago
Please answer this correctly
Katarina [22]

Answer:

SA = 1,176 ft².

Step-by-step explanation:

To find the surface area of the triangular prism, we can solve for the rectangular base, both triangular faces, and lateral sides separately.

For the rectangular base: (Use formula l×w)

20 × 18 = 360 ft²

For the triangular faces: (Use formula 1/2(b·h)

1/2(18 × 12) = 108 ft²

Since there are two faces, we need to double the amount.

108 × 2 = 216 ft².

Finally, solve for the lateral sides:

20 × 15 = 300 ft².

There are two sides, so:

300 × 2 = 600 ft².

Add up all of these areas:

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3 years ago
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Karolina [17]

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8 0
3 years ago
Find the value of x in the picture
Hunter-Best [27]

Answer: x=128\°

Step-by-step explanation:

It is important to remember the following:

Angle\ formed\ by\ two\ chords=\frac{1}{2}(Sum\ of\ intercepted\ arcs)

In this case you can observe in the figure that "x" is an Angle formed by two chords, therefore, you can find its value applying the formula.

Therefore, the value of "x" is this:

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6 0
4 years ago
The lengths of plate glass parts are measured to the nearest 1/10 mm. The lengths are discretely and uniformly distributed with
vagabundo [1.1K]
For uniform, the mean is:

<span>x¯ = (<span>590.0+590.9) 2</span></span>
The variance is:<span>
σ = sqrt [ (<span><span>n2−1) /</span>12  ]

</span></span><span> Where n=10.

The answer would be 590.45


I hope my answer has come to your help. Have a nice day ahead and may God bless you always!</span>
8 0
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