Answer:
109.9 ft
Step-by-step explanation:
The length of an arc that is 1/4 of a circle of radius 70 ft is ...
s = rθ
s = (70 ft)(π/2) = 35π ft ≈ 109.9557 ft
The best answer choice appears to be 109.9 feet.
Answer:
option b) 0.079
Step-by-step explanation:
The explanation for this question is given in the attachment below.
The correct answer is 40 bars.
In order to find this amount we have to find when the y values are worth the same. Since both equations are equal to y, we can set them equal to each other to find a time when the y values are the same.
Company A = Company B
.75x = 10 + .50x ---> Now subtract .50x from both sides.
.25x = 10 ---> Now divide both sides by .25
x = 40
When x = 40 it will cost $30 from both companies.
Please consider the attached graph.
We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.
We will use trigonometric area formula to solve our given problem.
, where angle b is angle between sides a and c.
For our given triangle 
and measure of angle b is 150 degrees.
Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.
(50 - x) is the amount of the 15% Alcohol solution to use. If you solve for x first.
<span>0.10x + 0.15(50 – x) = 0.12(50)
0.10x - 0.15x + 7.5 = 6
-0.05x + 7.5 = 6
7.5 - 6 = 0.05x
1.5 = 0.05x
1.5/0.05 = x
30 mL = x
Then the 15% solution: 50 - 30 = 20 mL
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