Find the value of the trigonometric ratio.
9) sin z

Find The Value Of The Trigonometric Ratio.9) Sin Z

Answers

Answer 1

Answer:

SinZ=24/40 = 12/20 = 3/5

C)

Answer 2

The value of the trigonometric ratio Sin Z for the given triangle XYZ will be [tex]\frac{3}{5}[/tex], i.e. option C.

What are trigonometric ratios?

The trigonometric ratios are the ratios of sides of two sides of right angled triangle used in trigonometry. Trigonometric ratios are used to find the value of the acute angles in a right triangle when the sides of the triangle are given.

We have,

A right-angled triangle XYZ with the given values,

Angle Y = 90°

And,

YZ = 32, XY = 24 and XZ = 40,

Now,

Using the trigonometric ratios,

i.e.

[tex]Sin Z=\frac{Perpendicular}{Hypotenuse}[/tex]

i.e.

[tex]Sin Z=\frac{XY}{XZ}[/tex]

So,

[tex]Sin Z=\frac{24}{40}[/tex]

On simplifying,

We get,

[tex]Sin Z=\frac{3}{5}[/tex]

So,

The option C is the correct answer for the given triangle find out using trigonometric ratio,

Hence, we can say that the value of the trigonometric ratio Sin Z for the given triangle XYZ will be [tex]\frac{3}{5}[/tex], i.e. option C.

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Related Questions

Determine m∠A, m∠B, and m∠C.

Answers

Answer:

huh? I have no clue sorry

Answer:23

Step-by-step explanation:

Factor completely 54x4 + 2x​

Answers

Answer:

2x+216

Step-by-step explanation:

The answer was easy to get because to factor you would just multiply the two numbers together to get 54x4 = 216 and then add the 2x, so your answer is 216+2x

HEELLLPPPP MEEE 100 POINTS!!!

Juan has a collection of 13 dice, 5 of which have eight sides. If Juan randomly rolls 4 dice, what is the probability that exactly 2 of the chosen dice have eight sides? Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

38

Step-by-step explanation:

A third friend offers you a flat $20 to watch his dog during the same time. Tell whether you would choose this job over either of the other two and explain why.

Answers

Um we need the other options

A clothing store is selling T-shirts at 2 for $15. If Michael purchases 8 T-shirts, how much money will he spend?

Answers

Answer:

$60

Step-by-step explanation:

2 T-shirts = $15

Longer version

15/2 = $7.50

1 T- shirt = $7.50

7.50*8 =  $60

Short version

2 T-shirts = $15

bought 8 so 8/2 = 4

4*15= 60

Aldo made a shirt using 1/5 meters of yellow fabric and 2/3 meters of red fabric. How many meters of fabric did he use in all? Write your answer as a fraction in simplest form.

Answers

Answer:

Aldo's shirt was made of 13/15 meters of fabric.

Step-by-step explanation:

We need to add these fractions. However, in order to do so, we need to find the LCM, which in this case, is 15.

1/5 + 2/3 =

3/15 + 10/15 =

13/15

This fraction is also written in simplest form. Therefore, Aldo's shirt was made of 13/15 meters of fabric.

Hope this helps! :D

6x+4y=42 -3x+3y=-6 by elimination

Answers

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.

x=5

y=2

Answer: (5, 3)

Step-by-step explanation:

Solve by Addition/Elimination

6x + 4y = 42 −3x + 3y = −6

Multiply each equation by the value that makes the coefficients of x opposite.

      6x + 4y = 42

      (2) ⋅ (−3x + 3y) = (2) (−6)

Simplify (2) ⋅ (−3x + 3y).

      6x + 4y = 42

      −6x + 6y = (2) (−6)

Multiply 2 by −6. 6x + 4y = 42

      −6x + 6y = −12

Add the two equations together to e liminate x from the system.

      6x + 4y = 42

    ±6x + 6y = −12

             1 0y= 30

Divide each term in 10y = 30 by 10.

      10y  =     30

      10          10

Cancel the common factor of 10.

     y = 30/10

  Divide 30 by 10.

      y = 3

Substitute the value found for y into one of the original equations, then solve for x.

Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42

 Multiply 4 by 3.

      6x + 12 = 42

Move all terms not containing x to the right side of the equation.

      6x = 30

Divide each term by 6 and simplify.

      x = 5

The solution to the independent system of equations can be represented as a point.

(5, 3)

The result can be shown in multiple forms.

Point Form:

(5, 3)

Equation Form:

x = 5, y = 3

The bar diagram represents 24 hours in one day and shows a mark at 30%
If you sleep 30% of the day, how many hours do you sleep? Enter your answer in the box
24
Hours slept
Percent
0%
30%
100%
hours
Please help

Answers

Answer:

7.2 hours slept

Step-by-step explanation:

30%>.30

.30*24=7.2 hours

Hope this will help!

7.2 hours slept is your answer. Or 7 hours and 12 minutes.

to get this i did 24 x .3 and got 7.2

I’ll give the Brainliest to who answers the question with and reasonable explanation.


When is the constant of proportionality the same as the unit rate when comparing two quantities?

A. Only when the two quantities are indirectly proportional

B. Only when the two quantities are directly proportional

C. Always

D. Never


Thank you!

Answers

Answer:

it's A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Just got it correct

Solve the Equation:
3x-4=10 what is x

Answers

Answer:

14

3

Step-by-step explanation:

WHOEVER ANSWERS IT RIGHT WILL GET BRAINST ASAP DUE IN 5 MINUTES

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I checked it an fits right hope this helps!!


Eduardo lives in Argentina and travels to Uruguay for a holiday
(a) His flight from Buenos Aires to Montevideo takes 55 minutes.
The plane departs at 1735.
Write down the arrival time.

Answers

Step-by-step explanation:

55 minutes after 1735 is 1830.

A box in the shape of a rectangular prism measures 2 feet by x feet by 4 feet. Write a simplified expression for the volume (in cubic feet) of the box.

Answers

Answer:

8x  ft^3

Step-by-step explanation:

Step one:

given

dimension of the box

Length= 2ft

width = x ft

Height= 4 ft

Required;

the expression for the volume of the box

Step two:

We know that the volume is expressed generally as

V=L*W*H

V= 2*x*4

V= 8x  ft^3

The expression for the volume is V= 8x  ft^3

What is three hundred forty two thousandths in decimal form?

Answers

Answer:

C

Step-by-step explanation:

it says thousandths and a number group with a th at the end is on the right of the decimal.

Answer:

C: 0.342

Step-by-step explanation:

Here's how it works:

.(tenth)(hundredth)(thousandth)

Therefore,

"Three hundred forty-two thousandths" is 0.342.

What is the radian measure of an angle equal to 225 degrees????

Answers

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

What is the radian measure of an angle?

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

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(take 2 bc i messed up) What is √30 simplified

Answers

Answer: the square root of 30 is simplified to 5...

Hope this helps! :D

Step-by-step explanation:

Answer:

Square root of 30 simplified is 5

Step-by-step explanation:

Hope this helps! c:

Annabelle has $600 in a savings account that earns 2% simple interest for 6 years. Caroline has $400 in a savings account that earns 3% simple interest for 6 years. Whose account will have more money in it after the 6 years? How much more money will they have in their account?

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating Amount;

Amount = Principal + Interest

Interest = Principal * Rate * time/100

For Annabelle:

Interest = 600*2*6/100

Interest = 6*2*6

Interest = $72

Amount after 6 years = $600 + $72 = $672

For Caroline:

Interest = 400*3*6/100

Interest = 4*3*6

Interest = $72

Amount after 6years = $400+$72 = $472

Hence Annabelle account will have more in it after 6 years.

Taking the difference in their amount = $672-$472 = $200

Hence Annabelle will have $200 more than Caroline in her account after 6 years

A bag contains three green marbles, four blue marbles, and two orange
marbles. If a marble is picked at random, what is the probability that an orange
marble will NOT be picked?

Answers

Answer:

7/9

Step-by-step explanation:

There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!

What would be the new ordered pair for point Q' given the following rule for the transformation?
(x,y)----}(-x,y)
Q=(-5, 7)​

Answers

Answer:

The new ordered pair for point Q' are: Q' (5, 7)

Step-by-step explanation:

Q = (-5, 7)

The rule of translation is:

(x, y) → (-x,y)

According to this rule, the value of x is multiplied by -1, and the value of y remains the same.

Thus,

P(x, y) → P'(-x,y)

Q (-5, 7) → Q' (-(-5), 7) → Q' (5, 7)

Thus, the new ordered pair for point Q' are: Q' (5, 7)

I really need help with this
I think its Igneous Rock but I'm not so sure...
THANKS

Answers

Answer:

That is igneous

Step-by-step explanation:

I'm very confused, I don't know where to even start! Please help me!!

Answers

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find width of the rectangle, BD:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = BD

Adjacent = 7 cm

Plug in the values

[tex] \sqrt{3} = \frac{BD}{7} [/tex]

Multiply both sides by 7

[tex] 7\sqrt{3} = BD [/tex]

[tex] BD = 7\sqrt{3} [/tex]

✔️Using trigonometric ratio, find height of the rectangle, BF:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = 6 cm

Adjacent = BF

Plug in the values

[tex] \sqrt{3} = \frac{6}{BF} [/tex]

[tex] BF = \frac{6}{\sqrt{3}} [/tex]

Rationalize

[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]

[tex] BF = \frac{6\sqrt{3}}{3} [/tex]

[tex] BF = 2\sqrt{3} [/tex]

✔️Perimeter of rectangle BDEF:

Perimeter = 2(BD + BF)

Plug in the values

[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]

[tex] Perimeter = 2(9\sqrt{3}) [/tex]

[tex] Perimeter = 18\sqrt{3} [/tex]

✔️Area of the rectangle BDEF:

Area = BD × BF

Plug in the values

[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]

[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]

[tex] Area = 14 \times 3 [/tex]

[tex] Area = 42 [/tex]

Pls help me solve for x ill give 10 points away

Answers

Answer:

.53 pounds of dog food each day.

Step-by-step explanation:

Use PEMDAS to solve

Maggie says the LCM of 8 and 12 is 24. Her friend Glen says the answer is 4. Who is rigth?

Answers

Answer:

Maggie

Step-by-step explanation:

Whats the answer to #1

Answers

Answer:

-8/5 or 1.6

Step-by-step explanation:

if you get the 2 points on the graph and use slope formula you get the answer

Evaluate x – y if x = 5 and y = -2.

Answers

It would be 5-(-2) which would change to 5+2 which equals 7.

Answer:

7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

x - y

x = 5

y = -2

Step 2: Evaluate

Substitute:                    5 - -2Simplify:                        5 + 2Add:                              7

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

Create a word problem where the answer to the problem is $10.50. Write the equation under.

Answers

Answer:

Ten Dollars Plus fifty cents equals Ten Dollars and fifty cents

Step-by-step explanation:

10 + .50 = 10.50

6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
if there were 50 children, how many adults would be at the game? *

Answers

Answer:

The total number of adults will be: 120 adults

Step-by-step explanation:

Given that there were 24 adults and 10 children in a game.

Thus, adults to children ration = 24:10 or 24/10

If there were 50 children, how many adults would be at the game?

Let 'x' be the number of adults when there 50 children.

so the ration of adults 'x' to 50 childern = x: 50 or x / 50

As the ratio is the same.

Thus,

24 : 10 = x : 50

24/10 = x/50

switching sides

x/50  = 24/10

x  = 24/10 × 50

x = 120 adults

Therefore, the total number of adults will be: 120 adults

A person at a local airport spotted an airplane at an angle of depression of 23° on the tarmac. If the person saw the plane from the airport tower that is 120 ft high, how far away is the plane from the airport tower?

Answers

Answer: 282. 7 feets

Step-by-step explanation:

Height = 120 ft

θ = 23°

To obtain the distance (d) of plane from airport tower :

Tan θ = h / d

Tan 23 = 120 / d

0.4244748 * d = 120

d = 120 / 0.4244748

d = 282.70229

d = 282.7 feets

In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What are the odds of a yellow marble being selected on the first draw?
A.1:5
B.4:2
C.2:4
D.3:3

20 points
i really need help im way behind and im low on points but i can share my instagram
:D

Answers

Answer:

2:4 thats because together there are 6 marbles in total. 3 red and 1 blue = 4. and 2 yellow. 4:2, however, 4:2 is 4/2 in fraction, so that wont make sense. hat means the answer is 2:4 or 2/4.

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