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brilliants [131]
3 years ago
13

Simplify and write the trigonometric expression in terms of sine and cosine:

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Answer:

we have the expression as;

1/sin u cos u

Step-by-step explanation:

tan u = sin u/cos u

cot u = cos u/sin u

Thus;

sin u/cos u + cos u/sin u

The lcm is sin u cos u

Thus, we have that;

(sin^2 u + cos^2 u)/sin u cos u

But ; sin^2 u + cos^2 u = 1

so we have ;

1/sin u cos u

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4 years ago
Erica plotted the three towns closest to her house on a graph with town A
marta [7]
First, determine the distances from the towns.
  Town A to Town B: Opposite angle C
                      d = sqrt ((12 - 7)^2 + (9 - 9)^2)
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  Town B to Town C: Opposite Angle A
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The angle with largest measure is the one opposite the greatest distance. Thus, the arrangement would be:    C, A, B.
8 0
3 years ago
A postal service requires that any box sent by priority mail have length plus girth​ (distance around) totaling no more than 104
Vaselesa [24]

Answer:

The length is no more than 56 inches.

The volume of the box is 8064 cubic inches.

Step-by-step explanation:

Given : A postal service requires that any box sent by priority mail have length plus girth​ (distance around) totaling no more than 104 in. One volume that meets this condition is contained by a box with a square end 12 in. on each side.

To find : What is the length of the​ box? What is the​ volume?

Solution :

A square end 12 inch on each side.

Then the girth of the box is given by,

P=4\times s

P=4\times 12

P=48

The girth of the box is 48 inches.

A postal service requires that any box sent by priority mail have length plus girth​ (distance around) totaling no more than 104 in.

So, L+48\leq 104

L\leq 56

The length is no more than 56 inches.

The maximum volume of such a box would be,

V=L\times B

B = area of the base (or end) of the box,

So, B=12^2=144

The volume is

V=56\times 144

V=8064\ in^3

Therefore, The volume of the box is 8064 cubic inches.

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4 years ago
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bagirrra123 [75]

Answer:

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Since the scale is 6.75 (I converted 3/4 to 0.75), we must multiply by 20 to get our original height.

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Students in a large psychology class measured the time, in seconds, it took each of them to perform a certain task. The times we
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Answer: z= 1.72

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