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valina [46]
3 years ago
14

What is the exact value? (Picture provided)

Mathematics
2 answers:
creativ13 [48]3 years ago
6 0

Answer:

b.  (√15)/4

Step-by-step explanation:

Since Sin Ф = (opposite side)/Hypotenuse, we have 2 sides of a right triangle.  

Use Pythagorean theorem to solve for the missing leg (the adjacent side)

 1² + b² = 4²

    1 + b² = 16

            b² = 15

                 b = √15

So the adjacent side is √15, so Cos Ф = (√15)/4

kow [346]3 years ago
6 0

Answer:

b. \frac{\sqrt{15}}{4}

Step-by-step explanation:

Given that \sin(\theta)=\frac{1}{4} where 0\:.

Recall and use the Pythagorean Identity;

\sin^2(\theta)+\cos^2(\theta)=1

This implies that;

(\frac{1}{4})^2+\cos^2(\theta)=1

\frac{1}{16}+\cos^2(\theta)=1

\cos^2(\theta)=1-\frac{1}{16}

\cos^2(\theta)=\frac{15}{16}

Take the square root of both sides;

\cos(\theta)=\pm \sqrt{\frac{15}{16}}

\cos(\theta)=\pm \frac{\sqrt{15}}{4}

Since we are in the first quadrant;

\cos(\theta)=\frac{\sqrt{15}}{4}

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64 divided by 0.4 and explain how you did it please i don't wanna be stuck on this all night
Brrunno [24]
Okay so 0.4 is equal to 4/10 (hopefully you know that!) & anything over 1 is itself so i would but 64 over 1.

so now you hace 2 fractions & when dicing fractions you alwas flip the second fraction upside down & then just multiply across.

so if you have
64 4
---- / ----
1 10

you would switch the 2nd one so the 10 would be on top.

so that would give you 64*10 over 1*4

which equals 640/4

& when you simplify that you get 160

so that's your answer(:
7 0
3 years ago
Rachel jogged along a trail that was 1/4 (fraction) of a mile long. She jogged along the trail 8 times. How many miles did Rache
OverLord2011 [107]
1/4+1/4+1/4+1/4+1/4+1/4+<span>1/4+1/4 = 8 Miles

1/4+1/4 = 1/2 Mile

1/2+1/2 = 1 Mile

1+1 = 2 Miles</span>
5 0
3 years ago
Read 2 more answers
Free points insta: (jqyneii) giving Brainliest to the first person :D make sure to get outside its good for you ily &lt;3
kiruha [24]

Answer:

THANKS FOR THE POINTS

Step-by-step explanation:

3 0
3 years ago
Casey wants to buy a gym membership. Gym A has a $50 joining fee &amp; costs $40 per month. Gym B has no joining fee &amp; cost
weqwewe [10]

Answer:

1; after 2 months

2; $130

Step-by-step explanation:

In this question, we are trying to compare the fees to be paid in two different gyms, to determine when the amount paid would be equal and also what this amount would be.

Now since we do not know the exact number of months, we can represent this unknown by x

so mathematically, at the end of m months, at the first gym , Casey would have paid a total of 50 + 40m

For the second gym, at the end of the second month, casey would have paid a total of 65m only

now we need to know when these fees would be the same. we simply equate what we have on both ends

mathematically, that is 50 + 40m = 65m

65m-40m = 50

25m = 50

m = 50/25

m = 2 months

The fees to be paid is

50 + 40(2) = 65(2) = $130

4 0
3 years ago
Solve for x: 3+(-5)x=19
malfutka [58]
3+(-5)x=19
Subtract 3 from both sides of the equation.
-5x= 16
Divide by -5 on both sides
X= -3.2
4 0
3 years ago
Read 2 more answers
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