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
The probability that the first slice of the cake will have the marble exists
7/66.
<h3>How to determine the probability using parts A and B?</h3>
Part A of the question demands that the volume of the cake be
estimated.
The volume of the cake exists, 


The part B of the question requires that the volume of each cut be
computed
The volume of each cut exists, V = 27
To estimate the required probability
We simply divide the volume of each cut by the volume of the cake.


Expand 


Therefore, the probability that the first slice of the cake will contain the
marble exists at 7/66.
To learn more about probability refer to:
brainly.com/question/24756209
#SPJ4
Answer:
27x-64x^2
Step-by-step explanation:
Distribute the 8x
3x-64x^2+24x
Combine like terms (3x and 24x)
27x-64x^2
Answer:
Yes
Step-by-step explanation:
s<30
Put in 28 for s
28<30
Twenty eight is less than 30 so it is a solution
Answer:
X
2
Step-by-step explanation: