200 because 20 times 10 is 200
The distance traveled in 1 roation is assumed to be the circumferece
c=2pir
in 13 rotations
13 times 2pir=26pir=distance traveled for 13 revolutions
r=13
d=26pi13
d=338pi
using 3.14 for pi
d=1061.32 inches
Answer:
∠STU = 69°
Step-by-step explanation:
The angle with vertex T is called an "inscribed angle." It intercepts arc SU. The relationship you are asked to remember is that the measure of the inscribed angle (T) is half the measure of the arc SU.
Point V is taken to be the center of the circle. The angle with vertex V is called a "central angle." It also intercepts arc SU. The relationship you are asked to remember is that the measure of the central angle (V) is equal to the measure of arc SU.
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Using these two relationships together, we realize angle V is twice the measure of angle T:
∠SVU = 2×∠STU
18x +12° = 2(18x -57°) . . . . . . relationship between the marked angles
18x +12° = 36x -114° . . . . . eliminate parentheses
126° = 18x . . . . . . . . . . . add 114°-18x
∠STU = 18x -57° = 126° -57°
∠STU = 69°
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<em>Additional comment</em>
You may notice we did not solve for x. We only needed to know the value of 18x, so we stopped when we found that value. (Actually, we only need the value of 18x-57°. See below.)
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<em>Alternate solution</em>:
(18x +12°) -(18x -57°) = 18x -57° . . . . . . . subtract 18x -57° from both sides of the first equation.
69° = 18x -57° . . . . . simplify. This is the answer to the problem.
Area =
The diameter is double the length of the radius
7 ÷ 2 = 3.5
3.5 × 3.5 = 12.25
= 38.4845100064751
38.4845100064751 rounded to the nearest tenth is 38.5
Answer:
We cannot solve without a value for x. The simplified form is 
Step-by-step explanation:
If the equation is 
then we cannot solve it until we know the value of x. We can simplify it using order of operations such as PEMDAS.
