Answer:
<h2>The required answer is 218 degree.</h2>
Step-by-step explanation:
∠AOB = 90 degree.
∠BOC = 52 degree.
Arc CDE = 180 degree, since CE is the diameter.
Hence, Arc EAC = 180 degree.
Besides, Arc EAC = Arc EA + Arc AB + Arc BC = Arc EA + 90 + 52 = Arc EA + 142.
Thus, Arc EA = 180 - 142 = 38 degree.
Arc ADC = 180 + 38 = 218 degree.
Answer:
Heads: 5/8
Tails: 3/8
Step-by-step explanation:
The probability of getting tails is 375/1000 OR 3/8.
The probability of getting heads is 625/1000 OR 5/8.
The equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.
<h3>What is the equation of the distance travelled by a car?</h3>
In accordance with the statement, car travels in a <em>straight</em> line at <em>constant</em> speed. The distance traveled (d), in miles, is equal to the product of the speed (v), in miles per hour, and time (t), in hours:
d(t) = v · t (1)
If we know that v = 60 mi/h, then the equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.
<h3>Remark</h3>
The statement is incomplete and complete form cannot be found. Then, we decided to complete the statement by asking for the equation that describes the distance of the car.
To learn more on linear equations: brainly.com/question/11897796
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Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is
, and since for our cylindrical box the volume is 150 cubic inches; therefore,

putting in
and solving for height
we get

,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.