what is the trigonometric ratio for sin z ?

enter your answer, as a simplified fraction, in the blanks.

/ (blank over blank)

Sorry this is a late response, I have just got done taking it myself. The answer is 3/5. You have 40 and 32, so you try figuring out (since you're simplifying) the LOWEST common multiple in this case. Since you always put the smallest number (the ones given to you which in this case is 32) as the numerator, the largest [is 40] making it the denominator. Apparently, the answer is 3/5. I argue that because there is no number between these two that three goes into, since the smallest that goes into 32 is 4. If they'd fix the answer, it'd be 4/5. Other than that, put down 3/5.

Problem 1

side AC

Explanation:

Side AC is opposite angle B because it is the furthest you can get on the triangle to be away from point B. This segment is a leg of the right triangle. Note how the letter B is not anywhere to be found in AC.

Problem 2

4/3

Explanation:

angle D is the right angle, the side across from this right angle is the hypotenuse EF

with reference angle F, we have

opposite = ED = 4

adjacent = DF = 3

tan(angle) = opposite/adjacent

tan(F) = ED/DF

tan(F) = 4/3

Problem 3

3/5

Explanation:

Use the Pythagorean Theorem to find the missing side XY

a^2 + b^2 = c^2

(XY)^2 + (YZ)^2 = (XZ)^2

(XY)^2 + (32)^2 = (40)^2

(XY)^2 + 1024 = 1600

(XY)^2 + 1024-1024 = 1600-1024

(XY)^2 = 576

sqrt[ (XY)^2 ] = sqrt[ 576 ]

XY = 24

Use that value to find the trig ratio we need

sin(angle) = (opposite)/(hypotenuse)

sin(Z) = (XY)/(XZ)

sin(Z) = (24)/(40)

sin(Z) = (8*3)/(8*5)

sin(Z) = 3/5

Problem 4

7/25

Explanation:

cos(angle) = adjacent/hypotenuse

cos(D) = (ED)/(DF)

cos(D) = (21)/(75)

cos(D) = (7*3)/(25*3)

cos(D) = 7/25

Problem 5

4 meters

Explanation:

We want to find the horizontal distance from the ground to the foot of the ladder. Call this x for now.

This x is the adjacent leg, since it is touching the 63 degree angle. The opposite side is 8 meters

opposite = 8

adjacent = x

Use the tangent function to solve for x

tan(angle) = opposite/adjacent

tan(63) = 8/x

x*tan(63) = x*(8/x)

x*tan(63) = 8

x*tan(63)/tan(63) = 8/tan(63)

x = 4.07620359595543

Rounding to the nearest whole number, we get 4 meters.

side AC

Explanation:

Side AC is opposite angle B because it is the furthest you can get on the triangle to be away from point B. This segment is a leg of the right triangle. Note how the letter B is not anywhere to be found in AC.

Problem 2

4/3

Explanation:

angle D is the right angle, the side across from this right angle is the hypotenuse EF

with reference angle F, we have

opposite = ED = 4

adjacent = DF = 3

tan(angle) = opposite/adjacent

tan(F) = ED/DF

tan(F) = 4/3

Problem 3

3/5

Explanation:

Use the Pythagorean Theorem to find the missing side XY

a^2 + b^2 = c^2

(XY)^2 + (YZ)^2 = (XZ)^2

(XY)^2 + (32)^2 = (40)^2

(XY)^2 + 1024 = 1600

(XY)^2 + 1024-1024 = 1600-1024

(XY)^2 = 576

sqrt[ (XY)^2 ] = sqrt[ 576 ]

XY = 24

Use that value to find the trig ratio we need

sin(angle) = (opposite)/(hypotenuse)

sin(Z) = (XY)/(XZ)

sin(Z) = (24)/(40)

sin(Z) = (8*3)/(8*5)

sin(Z) = 3/5

Problem 4

7/25

Explanation:

cos(angle) = adjacent/hypotenuse

cos(D) = (ED)/(DF)

cos(D) = (21)/(75)

cos(D) = (7*3)/(25*3)

cos(D) = 7/25

Problem 5

4 meters

Explanation:

We want to find the horizontal distance from the ground to the foot of the ladder. Call this x for now.

This x is the adjacent leg, since it is touching the 63 degree angle. The opposite side is 8 meters

opposite = 8

adjacent = x

Use the tangent function to solve for x

tan(angle) = opposite/adjacent

tan(63) = 8/x

x*tan(63) = x*(8/x)

x*tan(63) = 8

x*tan(63)/tan(63) = 8/tan(63)

x = 4.07620359595543

Rounding to the nearest whole number, we get 4 meters.

In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.

So, in your case, we have

In order to find XY, we have

So, the ratio for the sine is

Choice B) negative linear association=================================Reasoning:The points all go downhill as you move from left to right. We can draw a straight line that is fair...Read More

2 more answers

(f+g)(x) = 5x + 3Step-by-step explanation:f(x) = 2x - 6 and g(x) = 3x + 9, find (f+g)(x)(f+g)(x) = f + g = (2x - 6) + (3x + 9) = 5x + 3(f+g)(x) = f + g = 5x + 3...Read More

2 more answers

See below.Step-by-step explanation:The standard deviation = √ (∑(x - 10)^2 / 8 ) must be approximately = 1 if we take the mean to be 10.This requires ∑ (x - 10)^2 to be approxi...Read More

1 more answers

you have orange juice on wednesday. (idk why this is the answer)step-by-step explanation:...Read More

1 more answers

that answer is wrong the answer is b...Read More

2 more answers

- System of equationsstruggling terribly and teacher is vague with quest...
- Match the statements in the first column with their corresponding reas...
- Tom is told by his doctor that he needs to lose 15 pounds. If Tom no...
- Mike has $72 and he needs to buy some apples. Which of these equations...
- The school is having a bake sale and the pep squad is selling cookies....
- How do I do this because it looks really weird...
- Use pemdas 3 x (5 - 1) + 13 write 3 steps...
- Please help with this row, I have been working on this worksheet for d...
- Can y’all please help me...
- Help Geometry circles...