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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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schepotkina [342]
The total volume I suppose is what you are asking.
You can simplify this into 1/3 = .33
2.5 + .33 = 2.88 cups.
6 0
3 years ago
The slope of the line below is -2. Use the coordinates of the labeled point to
Vilka [71]

Answer:

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)

Step-by-step explanation:

Incomplete question:

There is no point to complete the equation.

As we have no point to complete the linear equation, we will solve for any given point (x0,y0) and a slope of m=-2.

The linear equation can be written generically as:

y(x)=mx+b\\\\y(x)=-2x+b

If a point, like (x0,y0) belongs to the linear equation, it satisfies its equation. Then:

y_0=-2x_0+b

Then, we can calculate b as:

y_0=-2x_0+b\\\\b=y_0+2x_0

We can express the equation for any linear equation with slope -2 and point (x0,y0) as:

y=-2x+(y_0+2x_0)\\\\y-y_0=-2(x-x_0)

6 0
3 years ago
Help ASAP pleaseee!
natulia [17]

Answer:

<h2><em>11.6%</em></h2>

Step-by-step explanation:

The probability of getting a 6 is 1/6.  

The probability of not getting a 6 is 5/6

We roll a die 4 times and want 2 sixes, and 2 not sixes.

i.e.exact 2 6's  

We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this

(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157

Nearest tenth of percent is 0.1157×100=11.6%

Ans :11.6%

3 0
3 years ago
PLS I NEED ASAP WILL GIVE BRAINLIEST
Darya [45]

For this case we have that by definition, a linear equation is of the form:

ax + b = 0

The variable (s) involved in the equation always have exponent 1.

Some examples of linear equations are:

x + 5 = 3y\\y + 6 = 3x\\y = 2x + 2

Answer:

In a linear equation the variables have exponent 1.

y = 2x + 2

5 0
3 years ago
Write an equation of a line that passes through the point (-3, -5) and have a slope of -4/3
andrew-mc [135]

Answer:

y= -4/3x - 9

Step-by-step explanation:

3 0
3 years ago
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