A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer
2 answers:
Answer:
The top surface area of the washer equals 160.14 square millimeters.
Step-by-step Explanation:
The washer's top surface forms an annulus, characterized by an outer radius of 10 mm and an inner radius of 7 mm (obtained since the hole's diameter is 14 mm and the radius is half the diameter).
Recall the formula for the area of an annulus:
where R is the outer radius and r the inner radius.
Substituting the given values:
Thus, the calculation yields:
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Answer:
The rotation angle measures 2.11 °
Step-by-step explanation:
Stated as follows:
The radius of the circular path = r = 18 feet
The distance rolled by the wheel = l = 38 feet
Let us denote the angle of rotation as Ф
Now, according to the problem:
∵ the length of an arc at the center corresponds to an angle Ф
Thus,
distance rolled by the wheel = π × radius ×
As 180° represents π radians
And π approximates to 3.14
Thus, distance rolled by the wheel = 180 °× radius ×
That is l = r × Ф
So, Ф =
Consequently, Ф =
Therefore, Ф = 2.11 °
Thus, the rotation angle is Ф = 2.11 °
Hence, the rotation angle is 2.11 ° Answer
Answer:
The standard ticket price was $12.
Step-by-step explanation:
Let’s denote the normal ticket price, which would total
if she had purchased tickets for that amount.
However, since Holly received a $4 discount on each ticket, her cost for one ticket became
and with 23 tickets, her total cost was
amounting to $184; thus, we conclude
we will solve this equation as follows:
Therefore, the regular price amounted to $12.