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gulaghasi [49]
3 years ago
11

If sin x = 1/4 and pi < x < 3pi/2 , find tan x exactly

Mathematics
1 answer:
arlik [135]3 years ago
5 0

Answer:

\sin(x)  =  \frac{1}{4}  \\  { \sin }^{2} x =  \frac{1}{16}  \\  { \cos } x =  \sqrt{1 -  { \sin }^{2}x }  \\  \cos(x)  =  \sqrt{1 -  \frac{1}{16} }  \\  \cos(x)  =  \sqrt{ \frac{15}{16} }  \\  \tan(x)  =  \frac{ \sin(x) }{ \cos(x) }  \\  \tan(x)  =  \frac{ \frac{1}{4} }{ \sqrt{ \frac{15}{16} } }  \\  \tan(x)  = 0.258

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A rectangular park is 85 yards wide and 120 yards long.
ki77a [65]

Answer:

A=10506.25 Sq.yards

Step-by-step explanation:

Width of the park=85 yds

Lenght of the park=120 yds

Now,

A=L*W

A=120*85

A=10200 square yards. This is the area of your given rectangle.

Now,

P=2(L+W)

P=2(120+85)

P=2(205)

P=410 this is the perimeter of your given rectangle.

Now,

a=410/4=102.5

Now,calculate the area of newly given distance of each side:

A=a^2

A=102.5^2

A=10506.25 Sq. Yards

This is the new area and is larger than the area of the given rectangle which was 10200 square yards.

3 0
3 years ago
Between which pair of numbers is the exact product of 379 and 8?
AnnZ [28]
The product of 379 and 8 is 3,032.

It's between (any number less than 3,032) and (any number greater than 3,032).

I guess if this is an <em>estimation </em>exercise, you could say that it's between
(8 x 300) and (8 x 400), or 2,400 and 3,200. 
5 0
3 years ago
Use the formula d = rt to find the distance, rate, or time
Varvara68 [4.7K]

Answer:

16. d = distance

     r = rate

     t = time.

We know that the rate = 4, and time = 11.

=> d = 4 * 11

=> d = 44

17. We know that distance = 36, and time = 4.

=> 36 * r* 4

=> 36 = 4r

=> 36/4 = 4r/4

=> r = 9

3 0
3 years ago
21 less than a number, multiplied by 4, results in 108.Find the value of the unknown number.
Anni [7]

21 - 4x = 108

<em><u>Subtract 21 from both sides</u></em>

-4x = 87

<em><u>Divide both sides by -4</u></em>

x = -21.75

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=8%20%5E%28x%29%2B32%20x%5E%7B2%7D%2B4" id="TexFormula1" title="8 ^(x)+32 x^{2}+4" alt="8 ^(x)+
Grace [21]

Answer:

Step-by-step explanation:

Rearrange the terms and take out a common factor of 4

4(8x^2 + 2x + 1)

I think this is as far down as you want to take it. It gives an imaginary root which you may not be familiar with.

4 0
2 years ago
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