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Luda [366]
3 years ago
12

If the cos 30° = square root 3 over 2, then the sin 60° = _____. 0, because the angles are complementary 1 over 2, because the a

ngles are complementary square root 3 over 2, because the angles are complementary 1, because the angles are complementary
Mathematics
2 answers:
sveta [45]3 years ago
7 0

Answer:

\frac{\sqrt{3} }{2}, because the angles are complementary

Step-by-step explanation:

The sine and the cosine functions are complementary functions.

This means that;

\cos(\theta)=\sin(90-\theta)

Or

\sin(\theta)=\cos(90-\theta)

If \cos(30\degree)=\frac{\sqrt{3}}{2}, then

\sin(60\degree)=\frac{\sqrt{3}}{2}

The correct answer is

\frac{\sqrt{3} }{2}, because the angles are complementary

leva [86]3 years ago
3 0
Well, the answer would be square root of 3 over 2 because of the unit circle. So, the answer choice should be which ever one involved square root 3 over 2
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Line segment XY is tangent to circle Z at point U. Circle Z is shown. Line segment U V is a secant. Line segment X Y is a tangen
Yuri [45]

Answer:

138°

Step-by-step explanation:

∠YUV creates arc YV. Circle Z is made up of arc UV (84°) and arc YV. Solve for the measure of arc YV. (A circle equals 360°)

84° + x = 360°

arc YV = 276°

arc YV is formed from a secant and a tangent. Because of this ∠YUV is half of arc YV.

276° ÷ 2 = 138°

∠YUV = 138°

3 0
2 years ago
Read 2 more answers
How do you work this problem
ankoles [38]
 An easy way is to do it, if you get confused by multiplying fractions, is by turning the fractions into decimals. Since you are trying to find N you want to multiply the 1/5 by the 1/3.

1/5 = 0.2

1/3 = 0.33333333333333333333333333333333

 if you multiply those you get 0.06666666666666666666666666666667 which when put into a fraction it equals 1/15



but if you don't want to do that just try to remember that you want to get by itself. and when multiplying fractions in this situation the bottom numbers only matter.. so 5 x 3 = 15  1/15

would you like me to put it in a document to show you?
7 0
3 years ago
(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop
zalisa [80]

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})

Compute the sample sizes as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}

       n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}

          =\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

\hat p_{1}=0.45\\\hat p_{2}=0.58

Compute the sample size as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}

       n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}

          =\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666

Thus, the sample sizes are 6666.

7 0
2 years ago
On the floor exercise, Nadia scored 9.85. Mary Lou scored 8.975. How much higher was Nadia's score on the floor exercise?
Pepsi [2]

Answer:

0.875

Step-by-step explanation:

9.85-8.975 equala 0.875

7 0
2 years ago
Read 2 more answers
Solve for x. Show all your steps/work. <br> (¼)x + 1 = 22x
Vadim26 [7]
22x-1/4x= 1
21.75x=1
x=0.046

Im not sure tho:) but probably its correct
8 0
3 years ago
Read 2 more answers
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