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Papessa [141]
3 years ago
15

Can someone help me out with this question? The question is about circle diameters. I'm unfamiliar with finding the length of th

e arc. If someone answers can you explain the answers step by step, thank you!

Mathematics
1 answer:
Nady [450]3 years ago
7 0

Answer:

a) m arc AD = 145

b) D = 10

Step-by-step explanation:

a) mAD can be found because triangle OCM can be shown to be congruent to triangle ODM.

The angle AOD is supplementary to DOB which we just showed to be congruent to the known 35° angle COB. Therefore AOD = 180 - 35 = 145°

The arc length is identical to the arc angle when measured between radii.

b) The radius OC = √(OM² + (CD/2)² = √(3² + 4²) = 5.

Diameter is twice radius = 10

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Serena uses chalk to draw a straight line on the sidewalk. The line is 12 ft long. She wants to divide the line into sections th
ElenaW [278]
<h3><u>Question:</u></h3>

Serena uses chalk to draw a straight line on the sidewalk. The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?

<h3><u>Answer:</u></h3>

The number of sections that the line is divided is 4

<h3><u>Solution:</u></h3>

Given that, Serena uses chalk to draw a straight line on the sidewalk

The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long

From given,

Total\ length\ of\ line = \frac{1}{2} \text{ feet }\\\\Length\ of\ each\ section = \frac{1}{8} \text{ feet }

To find: Number of sections can be made

The number of sections that can be made is found by dividing the total length of line by length of each section

\text{Number of sections } = \frac{\text{Total length of line}}{\text{length of each section}}

Substituting the values, we get,

\text{Number of sections } = \frac{\frac{1}{2}}{\frac{1}{8}}\\\\\text{Number of sections } = \frac{1}{2} \times \frac{8}{1}\\\\\text{Number of sections } = 4

Thus number of sections that the line is divided is 4

8 0
3 years ago
Plz help me my maths hw is due in a couple of hrs!!!
Hatshy [7]
The answers are in the picture
Have agreat day

7 0
3 years ago
-5(-6k + 10) =<br> Help ASAP
Fudgin [204]

Answer:

<h2>30k - 50</h2><h2 />

Step-by-step explanation:

-5 (-6k + 10)

= 30k - 50

8 0
3 years ago
Multi step equations that equal 17 with fractions
Rama09 [41]

Answer:

7/1 - 7/1 + 17/1 = 17

Step-by-step explanation:

3 0
2 years ago
The area of a room is 600 square feet. The length is (x+2) feet and the width is (x+3) feet. Find the dimensions of the room
m_a_m_a [10]
Create an equation using the formula for area of a rectangle; area = width * length
(X + 2)(x + 3) = 600
Multiply the dimensions.
X^2 + 3x + 2x +6 = 600, or simplified x^2 +5x + 6 = 600.
Subtract 600 to get the following:
X^2 + 5x - 594 = 0
Factor by x:
(X - 22)(x + 27) = 0
Solve for x
X - 22 = 0
X = 22.
Use the POSITIVE VALUE of x as you can’t have a negative area for a room.
Then substitute 22 for x to get the dimensions
(22+ 2) or 24 for length and (22+3) or 25 for width.
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3 years ago
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