Answer:
Step-by-step explanation:
Assuming the frame is a perfect circle
and 3 inches wide indicates the diameter
area of a circle=pi times radius^2
diameter=2 times radius
radius=1/2 diameter
diameter=3
radius=1/2 times 3
radius=3/2=1.5
area=pi times 1.5^2=2.25
pi is aprox 3.14 so
2.25 times 3.14=7.065 square inches
the answer is 2.25π square inches or 7.065 square inches
Answer:
10
Step-by-step explanation:
We will use trigonometry to solve this problem.
We see that the side provided is the hypotenuse and the side we are looking for is opposite to the angle provided. Thus, we will use sin since sin uses opposite/hypotenuse.
Now we solve.
sin45 = x/14
sin45 * 14 = x
x = 9.899494936611665
Let k be a constant of proportionality. We can use the given information to write two equations:
24 = k/5 and 12 = k/10.
Solving for k gives k = 120 in both cases.
Let R be the unknown resistance when the current is 15 amperes:
15 = 120/R.
R = 120/15
R = 8 ohms.