<span><span><span><span><span>(5)</span><span>(<span>−3</span>)</span></span>−<span><span>(4)</span><span>(<span>−3</span>)</span></span></span>−3</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span><span>=<span><span><span><span>−15</span>−<span><span>(4)</span><span>(<span>−3</span>)</span></span></span>−3</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span></span><span>=<span><span><span><span>−15</span>−<span>(<span>−12</span>)</span></span>−3</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span></span><span>=<span><span><span>−3</span>−3</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span></span><span>=<span><span>−6</span>−<span><span>(3)</span><span>(<span>−3</span>)</span></span></span></span><span>=<span><span>−6</span>−<span>(<span>−9</span>)</span></span></span><span>=<span>3</span></span>
Answer:
A.
Step-by-step explanation:
let me know if you want an explanation :))
We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).
The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).
We can use the law of sines to solve this where:
sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
LC = 3.2 (sin46.5/sin43.6)
LC = 3.37 inches
We are told 1 in = 10.6 miles, therefore:
3.37 inches x 10.6 miles/in = 36 miles from Laramie to Cheyenne.
First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
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Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
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Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
Problem 3
This is not an exponential function. If you were to graph this out, you would see a parabola forming. Or at the very least, a parabolic-like curve forms. An exponential curve only increases or only decreases for the entire domain. However, in this case, we have an increasing portion, and then it decreases.
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Problem 4
This is an exponential function. Each time x increases by 1, y is multiplied by 4. The equation that models these points is y = 4^x. Note how the function is strictly increasing and there are no decreasing portions mixed in.
