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Rzqust [24]
3 years ago
10

Solve each system of equations by GRAPHING. Clearly identify your solution.

Mathematics
1 answer:
amid [387]3 years ago
5 0
Loki sksksks znow s8os
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In ΔSTU, the measure of ∠U=90°, SU = 7, UT = 24, and TS = 25. What ratio represents the tangent of ∠T?
Vinvika [58]

Answer:

Tan T = 7/24

Step-by-step explanation:

Firstly, please check attachment to have a picture of the triangle we are solving.

Now, we are concerned with calculating the ratio that represents the tangent of angle T.

Mathematically, the tangent of an angle is the ratio of the length of the opposite to the length of the adjacent.

In this question, our opposite is 7 while the adjacent is 24.

Thus Tan T = 7/24

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4 years ago
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Nezavi [6.7K]
The area is 19.5 and the perimeter is 23.1

8 0
3 years ago
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given
Fed [463]
See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius x and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given x, i.e. 8e^x-8e^{-x}.

The volume is then

2\pi\displaystyle\int_0^1x\left(8e^x-8e^{-x}\right)\,\mathrm dx=16\pi\int xe^x(e^{2x}-1)\,\mathrm dx=\dfrac{32\pi}9(e^3-4)\approx179.677
7 0
3 years ago
Segments DF, DH, and GF are tangent to the circle. Andrew was asked to find DF. Explain andrew's error.
ANEK [815]

Answer:

DF = 14

Step-by-step explanation:

Andrew was wrong in the assumption that DE = EF

Segments of tangents to a circle from the same external point are congruent

That is

EF = FG = 8

Then

DF = DE + EF = 6 + 8 = 14

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Difference between cylinder and cone
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A cylinder has two bases and a height that (unless oblique) runs right along a side, while a cone has one base and whose height begins at the center of its base and goes straight up to the peak.
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