Your answer is 19.270656422
first, you have that sin(40)=x/8, the leg opposite and the hypotenuse. the your x is 5.142300877. To find the other leg, you do tan(40) =x/5.142300877, which is the same thing as x= 5.14230087/tan(40). your x will be 6.128355545. the only thing to do is add up the sides, and you get 19.270656422]
Answer:
The expression representing the volume of the cylinder is
/7 cubic units
Step-by-step explanation:
In this question, we are tasked with finding an expression that represents the volume of a cylinder given the condition that the height of the cylinder is twice the radius of its base.
Now, let's say the radius of the base of the cylinder is x, since the height is twice it, the value of the height h will be 2x
Mathematically, the volume of a cylinder can be calculated using the formula
V = π ××h
where r and h represents the radius of the base and height respectively. Plugging the values, we have;
V = π × × 2
V = 22/7 × × 2
V = /7 cubic units
Answer:
Table C
Step-by-step explanation:
Given
-------------------- Vendor I ----- Vendor II
Accepted ----------322 ---------- 307
Returned ----------16 ---------- 14
Required
Determine the table that shows the percentage of goods returned
From the table, we have:
Number of returned goods is:
For Vendor A, the percentage is:
For Vendor B, the percentage is:
<em>From the list of given options, only table C satisfies this condition.</em>
The statements that are true about circle Q are:
- The ratio of the measure of central angle PQR to the measure of the entire circle is 1/8.
- The area of the shaded sector depends on the length of the radius.
- The area of the shaded sector depends on the area of the circle.
<h3>How to explain the circle?</h3>
The measure of the central angle is 45°. The measure of the entire circle is 360°. This makes the ratio of the central angle to the entire circle 45/360 = 9/72 = 1/8
To find the area of the shaded sector, this will be:
A = πr² = π(6²) = 36π
1/8(36π) = 36π/8 = 18π/4 = 9π/2 = 4.5π square units. This is not 4 square units.
The ratio of the area of the shaded sector to the area of the circle would not be the same as the ratio of the length of the arc to the area of the circle.
Learn more about circle on:
brainly.com/question/24375372
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