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3 years ago

If the cos 36° = three fourths, then the sin 54° = _____.

Mathematics

2 answers:

Harman [31]3 years ago

4 0

Answer:

three fourths, because the angles are complementary

Step-by-step explanation:

$\cos 36 \degree = \frac{3}{4} \\ \therefore \: \sin(90 - 36) \degree = \frac{3}{4} \\ \therefore \: \sin54\degree = \frac{3}{4} \\ \\ formula \: used : \\ \cos \theta = \sin(90 - \theta)$

Stels [109]3 years ago

4 0

Answer:

3/4 because the angles are complementary.

Step-by-step explanation:

I just did the test and got it right. :)

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-4 + x + 7 + 3x + 6x

Ksenya-84 [330]

Go to m-a-t-h-w-a-y they give you the answer. But only do it when absolutely necessary. Hope this helps!

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3 years ago

Which of the following equations can be used to find the length of EF in the

Vinil7 [7]

The equation which can be used to find the length of EF is option A which is EF= $\sqrt{24^{2} -12^{2} }$ .

Given the length of base of right angled triangle is 12 and the hypotenuse be 24.

We are to find the length of EF and tell which equation can be used to find the length of EF.

We know that pythagoras theorem applies in a right angled triangle.

Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.

$H^{2} =B^{2} +P^{2}$

In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.

$(DE)^{2} =(EF)^{2} +(DF)^{2}$

EF= $\sqrt{DE^{2}-DF^{2} }$

= $\sqrt{(24)^{2} -(12)^{2} }$ --1

= $\sqrt{576-144}$

= $\sqrt{432}$

Hence the equation which can be used to find the length of Ef is option A which is EF= $\sqrt{24^{2} -12^{2} }$ .

Question is incomplete as it should include the figure also.

Learn more about pythagoras theorem at brainly.com/question/343682

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2 years ago

What is the effect on the volume of a sphere if the radius is divided by 3?

Neko [114]

For this case we have by definition, that the volume of a sphere is given by:

$V = \frac {4} {3} \pi * r ^ 3$

Where:

r: It is the radius of the sphere

If the radius is divided by 3 we have:

$\frac {r} {3}:$

$V = \frac {4} {3} \pi * (\frac {r} {3}) ^ 3\\V = \frac {4} {3} \pi * \frac {r ^ 3} {27}\\V = \frac {4} {81} \pi * r ^ 3$

ANswer:

the volume decreases considerably because the denominator increases

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3 years ago

2/5+1/3=<br> What is the answer

Alex Ar [27]

Answer:

11/15 OR 0.73

Step-by-step explanation:

2/5 ---> 6/15

1/3 ---> 5/15

6/15 + 5/15 = 11/15

2/5 ---> 0.4

1/3 ---> 0.33

0.4 + 0.33 = 0.73

4 0

3 years ago

Read 2 more answers

SOLVE THE EQUATION FOR Y

max2010maxim [7]

$(4)\ -6x + y = 11\ \ \ \Rightarrow\ \ \ y=6x+11\\\\(5)\ \ 8x + 2y = 10\ \ \ \Rightarrow\ \ \ 2y=-8x+10\ \ \ \Rightarrow\ \ \ y=-4x+5\\\\(6)\ \ 6x - 3y = -9\ \ \ \Rightarrow\ \ \ -3y=-6x-9\ \ \ \Rightarrow\ \ \ y=2x+3\\\\(7)\ \ -4x + 2y = 16\ \ \ \Rightarrow\ \ \ 2y=4x+16\ \ \ \Rightarrow\ \ \ y=2x+8\\\\
(8)\ \ 10x - 5y = 25\ \ \ \Rightarrow\ \ \ -5y=-10x+25\ \ \ \Rightarrow\ \ \ y=2x-5\\\\(9)\ \ 3x + 2y = -8\ \ \ \Rightarrow\ \ \ 2y=-3x-8\ \ \ \Rightarrow\ \ \ y=-1.5x-4
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6 0

4 years ago