An archer has a mean distance of 1.6 inches and a MAD distance of 1.3 inches in the first round. In the second round, the archer
1 answer:
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Answer:
- cos(2θ) = 7/25
- tan(2θ) = -24/7
Step-by-step explanation:
Sometimes, it is easiest to let a calculator do the work. (See below)
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The magnitude of the tangent is less than 1, so the reference angle will be less than 45°. Then double the angle will be less than 90°, so will remain in the 4th quadrant, where the cosine is positive and the tangent is negative.
You can also use the identities ...
cos(2θ) = (1 -tan(θ)²)/(1 +tan(θ)²)
cos(2θ) = (1 -(-3/4)²)/(1 +(-3/4)²) = ((16-9)/16)/((16+9)/16)
cos(2θ) = 7/25
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tan(2θ) = 2tan(θ)/(1 -tan(θ)²) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)
tan(2θ) = -24/7
Answer:
- width: 1.9 ft
- length: 2.3 ft
- height: 1.7 ft
Step-by-step explanation:
The volume of a rectilinear shape is given by ...
V = W·L·H . . . . . where W, L, and H represent width, length, and height
Filling in the given information, we want to find a solution to ...
7.4 = x(x +0.4)(x -0.2)
If we write ...
f(x) = x(x +0.4)(x -0.2)
Then we're looking for the value of x that satisfies ...
f(x) -7.4 = 0
The attached graph shows that value to be 1.897, about 1.9 (feet). Then the desired kennel dimensions are ...
- width: 1.9 ft
- length: 2.3 ft
- height: 1.7 ft
