Ask question

Ask question

All categories

3 years ago

14

Construct two angles in standard position that have sinθ=24/25, but with different terminal sides. Then find the ratios of the o

ther five trigonometric
functions for each angle. Show your work. Please help:)

1 answer:

omeli [17]3 years ago

3 0

<span><span>sin<span>(θ)</span></span>=<span>2425</span></span><span><span>cos<span>(θ)</span></span>=<span>725</span></span><span><span>tan<span>(θ)</span></span>=<span>247</span></span><span><span>sec<span>(θ)</span></span>=<span>257</span></span><span><span>csc<span>(θ)</span></span>=<span>2524</span></span><span><span>cot<span>(θ)</span></span>=<span>724</span></span>

You might be interested in

Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p

zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

$Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3$

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

$Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y$

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

$Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\$

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

$Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\$

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

$178=x^2+3x-y\\ \\ -6=4x-3y$

8 0

4 years ago

Read 2 more answers

A pizza restaurant gave a 20% discount on the supreme pizza which cost $16. what was the sale price?

Inga [223]

Answer:

you saved $3.20

Step-by-step explanation:

16 x 20/100

16 x 0.2

= 3.20

so 16-3.20= 12.80

final price is 12.80

6 0

2 years ago

Quadrilateral A has side lengths of 2, 3, 5, and 6. Quadrilateral B has side lengths 4, 5, 8, and 10. Could one of those quadril

bulgar [2K]

Answer:

no

Step-by-step explanation:

The ratios of the two shortest sides are different:

3/2 ≠ 5/4

so the quadrilaterals cannot be similar.

8 0

3 years ago

In a sample of 30 coin flips, heads came up 6 times. What is the sample proportion for heads?

Kitty [74]

You would divide 6 by 30.
6/30=0.2
Therefore the answer is D

6 0

4 years ago

Read 2 more answers

In the triangle below,

ANTONII [103]

tan ( y ) = 10 / 8

tan ( y ) = 5 / 4

tan ( y ) = 1.25

y = 51.4 degrees ( approximately )

3 0

3 years ago