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rjkz [21]
2 years ago
12

What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFra

ction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction sin(Y) = StartFraction Y Z Over X Y EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction
Mathematics
2 answers:
Sholpan [36]2 years ago
7 0

Answer:

\sin Y= \frac{XZ}{XY}

\cos Y= \frac{YZ}{XY}

\tan Y= \frac{XZ}{YZ}

Step-by-step explanation:

Given

See attachment for triangle

Required

Find \sin, \cos and \tan of angle Y

For angle Y:

Opposite = XZ

Adjacent = YZ

Hypotenuse = XY

The \sin of an angle is calculated as:

\sin\theta = \frac{Opposite}{Hypotenuse}

So:

\sin Y= \frac{XZ}{XY}

The \cos of an angle is calculated as:

\cos\theta = \frac{Adjacent}{Hypotenuse}

So:

\cos Y= \frac{YZ}{XY}

The \tan of an angle is calculated as:

\tan\theta = \frac{Opposite}{Adjacent}

So:

\tan Y= \frac{XZ}{YZ}

12345 [234]2 years ago
4 0

Answer:

c

Step-by-step explanation:

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I hope this helps you



4,8 (x+4)=2,16



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3 years ago
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The circumference of the bike tire above is 83.524 inches. What is the radius of the bike tire?
dezoksy [38]
Divide 83.524 by pi then take half of that answer .
the answer should be 13.29 or 13.3
3 0
3 years ago
Hey 20 points for the first person to show work and answer this​
Harrizon [31]

Step-by-step explanation:

First, the pizza is 18 inches in diameter, so

d = 18

and, because the radium is half of the diameter,

r = 9

<u>Note that the units are inches.</u>

Using the equation

a = \pi  r ^{2}

where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is

a(s)=  \frac{(\pi  \times 9^{2})}{s}

where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.

5 0
3 years ago
A researcher has two percentages and wants to know if the percentages are statistically different. The researcher calculates the
love history [14]

Answer:

p_v =2*P(Z>4.21) =2.55x10^{-5}

And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "

With the p value obtained and using the significance level assumed for example\alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the percentage 1 is significantly different from the percentage 2.

D) Are statistically different.

Step-by-step explanation:

The system of hypothesis on this case are:  

Null hypothesis: \mu_1 = \mu_2  

Alternative hypothesis: \mu_1 \neq \mu_2  

Or equivalently:  

Null hypothesis: \mu_1 - \mu_2 = 0  

Alternative hypothesis: \mu_1 -\mu_2\neq 0  

Where \mu_1 and \mu_2 represent the percentages that we want to test on this case.

The statistic calculated is on this case was Z=4.21. Since we are conducting a two tailed test the p value can be founded on this way.

p_v =2*P(Z>4.21) =2.55x10^{-5}

And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "

With the p value obtained and using the significance level assumed for example\alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the percentage 1 is significantly different from the percentage 2.

And the best option on this case would be:

 D) Are statistically different.

4 0
3 years ago
Find the least common denominator (LCD) of 7/9 and 5/6
AnnZ [28]

Answer: 18

Step-by-step explanation:

        The least common denominator of \frac{7}{9} and \frac{5}{6} is going to be a multiple of 9 and 6. Let us list them out:

9: 9, <u>18</u>, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, <u>18</u>, 24, 30, 36, 42, 28, 54, 60

        You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

8 0
2 years ago
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