A right triangle has side length 9,40, and 41 as shown below. Use these lengths t find cos Y, and tan Y, and sin Y.

Answers

Answer 1

Answer:

Trigonometric functions are applicable to the right-angled triangles. The value of the Sin(Y), Cos(Y), and Tan(Y) are 0.976, 0.219 and 4.445.

What are Trigonometric functions?

$\rm Sin \theta=(Perpendicular)/(Hypotenuse)\n\n\nCos \theta=(Base)/(Hypotenuse)\n\n\nTan \theta=(Perpendicular)/(Base)$

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given to us

XY = 41

YZ = 9

XZ = 40

In ΔXYZ for ∠Y,

$\rm Sin \theta=(Perpendicular)/(Hypotenuse)\n\n\rm Sin (\angle Y)=(XZ)/(XY)\n\n\rm Sin (\angle Y)=(40)/(41)\n\n$

$\rm Cos \theta=(Base)/(Hypotenuse)\n\n Cos (\angle Y)=(ZY)/(XY)\n\n Cos (\angle Y)=(9)/(41)$

$\rm Tan \theta=(Perpendicular)/(Base)\n\nTan \theta=(XZ)/(ZY)\n\nTan \theta=(40)/(9)$

Hence, the value of the Sin(Y), Cos(Y), and Tan(Y) are 0.976, 0.219 and 4.445.

Learn more about Trigonometric functions:

brainly.com/question/6904750

Answer 2

Answer:

Final answer:

The cos Y, sin Y, and tan Y of a right triangle with side lengths of 9, 40, and 41 can be calculated using trigonometric ratios. Cos Y equals 9/41, sin Y equals 40/41, and tan Y equals 40/9.

Explanation:

In a right-angled triangle, we use the concept of trigonometric ratios which involves sine (sin), cosine (cos) and tangent (tan). Here, the side length 9 would be considered the adjacent side (a), the side length 40 would be considered the opposite side (b), and the side length 41 would be the hypotenuse (c).

The trigonometric ratios can be determined as follows:

Cosine (cos) Y = adjacent/hypotenuse = 9/41
Sine (sin) Y = opposite/hypotenuse = 40/41
Tangent (tan) Y = opposite/adjacent = 40/9

This would be the solution to finding the cos Y, tan Y, and sin Y with respect to angle Y.

Learn more about Trigonometric Ratios here:

brainly.com/question/29156330

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Which equation when graphed has X-intercepts at (8,0) and (-2, 0) and a y-intercept at (0-48)?

Answers

Answer:

$y=3x^(2)-18x-48$

Step-by-step explanation:

we know that

The equation of a vertical parabola in factored form is equal to

$y=a(x-x1)(x-x2)$

where

a is a coefficient

x1 an x2 are the roots or x-intercepts

In this problem we have

$x1=8,x2=-2$

substitute

$y=a(x-8)(x+2)$

with the y-intercept (0,-48) find the value of a

substitute

$-48=a(0-8)(0+2)$

$-48=-16a$

$a=3$

The equation is equal to

$y=3(x-8)(x+2)\n \ny=3(x^(2)+2x-8x-16)\n \n y=3(x^(2) -6x-16)\n \ny=3x^(2)-18x-48$

Answer: fx=3(x-8)(x+2) or answer C

Step-by-step explanation:

bc i said so

What is 20/3 equal to?

Answers

20/3 is equal to ------?

First we will divide numerator by the denominator.

20 ÷ 3 = 6.66666666667

Ok, Now we will see how many times 3 goes in to 20.

3 × 6 = 18.

There will be 2 left. SO we will set our fraction like a mixed number:-

6 2/3

Hope I helped:P

Why is 85 a prime number

Answers

85 is a composite number because 17×5=85

85 is NOT a prime number because all prime numbers is a whole number greater than 1.its mosly 1 and its self

75= 3(5-5x) solve for x and do the check?

Answers

x = -4

75 = 3(5-5x)
75 = 3(5) - 3(5x)
75 = 15 - 15x
75 - 15 = -15x
60 = -15x
60/-15 = -15x / -15
x = -4

To check:
75 = 3(5-5(-4))
75 = 3(5+20)
75 = 3(25)
75 = 75

♡Let's solve this equation Step-By-Step and Easy-Peasy!♡
♡Here is the question you asked:
75= 3(5-5x)

♡Now simplify both sides of the equation:
♡Here is how to simplify it:
Distribute: 75=(3)(5)+(3)(−5x)
75=15+−15x
75=−15x+15

♡Now flip the equation:
−15x+15=75

♡Now that we have flipped the equation now you have to subtract 15 from both sides:
−15x+15−15=75−15
−15x=60

♡Now divide both sides by -15:
−15x/−15=60/−15

♡Your answer is:
x=−4

♡Now we need to check so:
75 = 3(5-5(-4))
♡Then:
75 = 3(5+20)
♡Now:
75 = 3(25)
♡Final:
75 = 75

♡I hope this helps!♡

the total of camper were 195 and the boy camper and girl camper was 8:7 how many girl camper and how many boy campers

Answers

8:7 boy to girl ratio
8x + 7x = 15x
15x = 195
x = 13
Boys = 8x

8*13 = 104 boys

104 BOYES:91 GIRLS
this because you do 8+7=15
195÷15=13
13×8=104
13×7=91
~JZ
HOPE THIS HELPS

the current temperature in smalltown is 20 °F this is 6 degrees less than twice the temperature thst that it was six hour ago what was the temperature is smalltown six hout ago

Answers

2 x - 6 = 20, where x is the temperature in degrees Farhenheit 6 hours ago. 2 x = 20 + 6, 2 x = 26, x = 26 : 2, x = 13 degrees F. We can prove it: 13 * 2 - 6 = 26 - 6 = 20 degrees F ( the current temperature ) Answer: The temperature 6 hours ago was 13 degrees F.Hope this helps. Let me know if you need additional help!

Answer: this is good

Step-by-step explanation:2 x - 6 = 20, where x is the temperature in degrees Farhenheit 6 hours ago. 2 x = 20 + 6, 2 x = 26, x = 26 : 2, x = 13 degrees F. We can prove it: 13 * 2 - 6 = 26 - 6 = 20 degrees F ( the current temperature ) Answer: The degrees 6 hours ago was 13 degrees yes very good

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