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qaws [65]
3 years ago
5

8 mi/h= ft/min helppppp

Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0

Answer:

8

Step-by-step explanation:

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If tan 0=5/4, calculate the value of cos 0
emmasim [6.3K]
 
                     5
If  tan θ  =  —— , calculate the value of  cos θ:
                     4


Recall the definition of the tangent function:

                 sin θ
tan θ  =  ————
                cos θ
 
  5           sin θ
——  =  ————
  4          cos θ

Cross multiply:

5 · cos θ = 4 · sin θ

Square both sides:

(5 · cos θ)² = (4 · sin θ)²

5² · cos² θ = 4² · sin² θ

25 · cos² θ = 16 · sin² θ

But  sin² θ = 1 – cos² θ.  Substitute that for  sin² θ  into the equation above, then you get

25 · cos² θ = 16 · (1 – cos² θ)

25 · cos² θ = 16 – 16 · cos² θ

Isolate  cos² θ:

25 · cos² θ + 16 · cos² θ = 16

(25 + 16) · cos² θ = 16

41 · cos² θ = 16
 
                    16
cos² θ  =  ———
                    41

                      4²
cos² θ  =  ————
                  (√41)²

Take square root of both sides:
 
                       4
cos θ  =  ±  ———
                    √41

                       4                                    4
cos θ  =  –  ———     or     cos θ  =  ———          ✔
                     √41                               √41


The sign of  cos θ  depends on which quadrant  θ  lies. Since you first have a positive value for  tan θ, then that means  θ  lies either in the  1st  or the  3rd quadrant.

•  If  θ  is a  1st  quadrant angle, then

cos θ > 0
 
                   4
cos θ  =  ———          ✔
                 √41

•  If  θ  is a  3rd  quadrant angle, then

cos θ < 0
 
                       4
cos θ  =  –  ———          ✔
                     √41


I hope this helps. =)

3 0
3 years ago
At the beginning of the month Riley’s balance was $128. What was her balance at the end of the month after all of her deposits a
patriot [66]

Answer:

In order for me to answer this I need to know how much she had left.

Step-by-step explanation:

I can edit my answer once you tell me

8 0
3 years ago
Read 2 more answers
A rectangular table top measures 8/9 of a meter long by 2/3 of a meter wide. what is its area
erma4kov [3.2K]
Area= l×w
       = 8/9 × 2/3
       =16/27
     area = 16/27 m²
hope i hel[ped
6 0
3 years ago
Tyler walk 2 miles a day for the first week of his exercise plan then he walked 3 miles a day for the next nine days how many mi
igor_vitrenko [27]
Answer is 41 miles total

Equation is (2miles x 7) + (3 miles x 9) = total

14 + 27 = total miles

41 = total miles
4 0
1 year ago
7. The amount of memory on a CD determines how many songs I can download to it.<br> Indep.<br> Dep.
galina1969 [7]

\bf \underset{dependent}{\stackrel{\textit{songs I can download}}{S(M)}}~~=~~\underset{independent}{\stackrel{\textit{how much memory I have}}{M}}

the memory is the independent, because that can vary at will, so it's independently varying at will, whilst the amount of songs are limited to how much memory there's in the CD, so the songs are dependent on the memory availability.

3 0
3 years ago
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