Mathematics High School

Given right triangle XYZ, what is the value of tan(Y)?


One-half

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

StartFraction StartRoot 3 EndRoot Over 2 EndFraction

StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction

Answers

Answer 1

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

Find the diagram attached.

From the right triangle XYZ:

XY is the hypotenuse

XZ and YZ are opposite and adjacent

To get value of tan(Y), we will use the SOH, CAH, TOA, trigonometry identity.

According to TOA:

Tan(Y) = XZ/ZY

First let us get XZ

Using SOH

SinY = opp/hyp = XZ/XY

SinY = XZ/4

Sin30 = XZ/4

XZ = 4sin30

XZ = 4(0.5)

XZ = 2units

Next is to get ZY:

Using Pythagoras theorem:

ZY²+XZ² = XY²

ZY² = XY²-XZ²

ZY² = 4²-2²

ZY²  = 16-4

ZY²  = 12

ZY = √12

ZY = √4*3

ZY = 2√3

Solve for tan(Y):

Since Tan(Y) = XZ/ZY

Tan(Y) = 2/2√3

Tan(Y) = 1/√3

Rationalize

Tan(Y) = 1/√3*√3/√3

Tan(Y) = √3/√9

Tan(Y) = √3/3

Hence the correct option is A. StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Given Right Triangle XYZ, What Is The Value Of Tan(Y)?One-halfStartFraction StartRoot 3 EndRoot Over
Answer 2

Answer:

B

Step-by-step explanation:

StartRoot 3 EndRoot

Related Questions

Solve the equation
42x + 7 = 16

Answers

Answer:

should get 0.2 hope this helps you!

Step-by-step explanation:

Answer: .2

Explanation what i got from my math

what is the diameter of a circle if area of circle is 10201.86

Answers

Answer:

hope it helps you

Step-by-step explanation:

d≈113.97

in the next several games,the pitcher threw a total of 384 pitches and used a fastball 240 times.What decimal should juanita use to update her report?

juanita should ise decimal __ to update her report.

How do you know that the answers is terminating decimal?​

Answers

Answer:

Divide the number of fastballs by the total number of pitches:

240 / 384 = 0.625

Step-by-step explanation:

-4/5 + 1/2m = -1/5
Can someone plz tell me answer?

Answers

Answer:

M = 1.2

Step-by-step explanation:

Yossi used to have a square garage with 358 ft*2 of floor space. He recently built an addition to it. The garage is still a square but now it has 50% more floor space. what was the length of one side of the garage now? What was the increase in the length of one side?

Answers

Increase in the length of one side = 3.8 ft

Step-by-step explanation:

Yossi has garage whose area is 280 ft²

After rebuilt their is increment in area by 50%

New Area = 280 × 150% = 420 ft²

Also we know that Area of Square = (Length) × (Length)

⇒ Length of Newly built garage = √420 = 20.5 ft

and Length of Originally garage = √280 = 16.7 ft

⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft

HOPE THIS HELPS!!!!!!!!!!! !!!!!!!!!!!!!!

-4.8 plus what equal a negative number please help​

Answers

Answers = A & C
Negative + Negative = Negative

The list shows numbers in order from least to greatest Which iIs an integer that can be inserted on the blank line in the list? PLEASE HURRY IM TIMED​

Answers

Answer:

0

Step-by-step explanation:

TRUST

Answer:

0

Step-by-step explanation:

-2 is too small and won't fit.

-1 1/3 is not an integer (it has a fraction)

-0 is correct, it's an integer

-1.2 is not an integer (it is a decimal)

Is the following statement true or false?
A line has two endpoints.
true
false

Answers

Answer: True

A line has two endpoints:

One at the endOne at the beginning

Hope this helps!

DUE SOON PLEASE ANSWER!!!!!!!!!
Using the Distributive Property, find the product of the expression 5(17) and then simplify.
5(20) − 5(7) = 65
5(10) + 5(7) = 85
5(10) − 5(7) = 15
5(10) + 5(7) = 95

Answers

Answer:

5(10) + 5(7) = 85

Step-by-step explanation:

Find the value of x and y.

Answers

Answer:

x=45 degrees y=20

Step-by-step explanation:

Im a bit too lazy but thats the answer.

find the sum and product of the zeros 2 X square + X - 5 = 0​

Answers

Answer:

x=2

Step-by-step explanation:

2x+x- 5 =0

X=2 hope this helps

helppppp
what is the product of 3/4 and 3

Answers

step by step: change 3 into a fraction- 3/1 • 3/4 multiply 3/4 • 3/1 =9/4 = 2 3/4

Given m||n, find the value of x.

Answers

[tex]x° + 135° = 180° \: ( \: linear \: pair \: )[/tex]

[tex]x = 180 - 135[/tex]

[tex]x = 45°[/tex]

Therefore , the value of x = 45° .

Find the sum of 5 1/6 + (-3 5/6)

Answers

Find the sum of 5 1/6 + (-3 5/6)

1 1/3

*I WILL MARK U BRAINLIEST IF IT CORRECT* Using the following set of data, calculate the lower quartile, the upper quartile, and the interquartile range.

20, 22, 25, 28, 29, 30, 32, 33, 34

Be sure to show your work for finding:

the lower quartile
the upper quartile
the interquartile range

Answers

Answer:

1. 20

2. 34

3. 14

Step-by-step explanation:

20 is smallest number

34 is biggest number

34-20=14

range is 34-20

what does x equal to

Answers

Answer:

x=0

Step-by-step explanation:

x/9+8=8

(add 8 to both sides)

x/9=0

(times both sides by 9)

x=0

-1/5d - 1 = 12
Can I get some help

Answers

Answer:

d =-65

Step-by-step explanation:

pls help me on this pls

Answers

Answer:

1.B not sure about 2 though sorry i couldnt help u on 2 Step-by-step explanation:

bing bought 2 3/4 kilograms of rice while 1 1/2 kg. how many kilograms of rice did both buy​?

Answers

Answer:

4 1/4 kg

Step-by-step explanation:

2 3/4 + 1 1/2

convert to have common denominators

2 3/4 + 1 2/4

convert to improper fractions (whole number × denominator + numerator / denominator)

11/4 + 6/4

add numerators and keep same denominator

17/4

convert to mixed number

17 goes into the denominator 4 times with 1 left over so:

4 1/4

Answer:11/4 + 3/2

LCM of denominators = 4

11/4 x 1 = 11/4 and 3/2 x 2 = 6/4

So, 11/4 + 6/4 = 17/4 = 4 1/4

Step-by-step explanation:

PLEASE HELP 9-3(5-4x) I need to simplify the expression

Answers

Answer:

Step-by-step explanation:

Expand: 9 - 15 +12x

Simplify: -6 + 12x

-6 (1 - 2x)

The solution of the given expression 9-3(5-4x) is -6 (1 - 2x).

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 9-3(5-4x). The expression will be simplified as:-

E = 9 - 15 +12x

E = -6 + 12x

E = -6 (1 - 2x)

Therefore, the solution of the given expression 9-3(5-4x) is -6 (1 - 2x).

To know more about an expression follow

https://brainly.com/question/1859113

#SPJ2

Find the median of 34, 23, 45, 56, 71, 32, and 32.
both 32 are supposed to be there

Answers

9514 1404 393

Answer:

  34

Step-by-step explanation:

The sorted list is ...

  23, 32, 32, 34, 45, 56, 71

The middle number in the list is the median. The median is 34.

Help!!!
Write a linear equation that passes through the points (-3, 3) & (9, -13) in slope-intercept form.

Answers

Answer:

Y= -4/3x-1

Step-by-step explanation:

The distance from our y values is -16

The distance from our x values is 12

We have -16/12 which we reduce to -4/3

Rise/Run=Y/X

Use can use the rise over Run strategy to eventually find your y intercept which is -1.

Hope this helps! :)

Answer:

Y= -4/3x-1

Use the linear equation to solve problems like this.

Suppose M is the midpoint of FG. Find the missing measure.



FM=12x−4, MG=5x+10

Answers

Answer:

[tex]\overline{FM}=20[/tex]

[tex]\overline{MG}=20[/tex]

Therefore,

[tex]\overline{FG}=40[/tex]

Step-by-step explanation:

Once M is the midpoint of FG, we conclude that

FM is half of FG and MG is half of FC and hence, FM = MG.

Given:

[tex]\overline{FM}=12x-4[/tex]

[tex]\overline{MG}=5x+10[/tex]

[tex]\overline{FM} = \overline{MG} \implies 12x-4 = 5x+10 \implies 7x=14 \implies \boxed{x = 2}[/tex]

So,

[tex]\overline{FM}=12x-4 = 12(2)-4=24-4=20[/tex]

[tex]\overline{MG}=5x+10 = 5(2)+10 = 10+10 =20[/tex]

Is 1/2 a whole number, rational number, or integer

Answers

Answer:

1/2 is rational number

Step-by-step explanation:

rational number is the form of q and q where p and q are interger and q is not equal to 0

Can someone please answer correctly ? There is two answers , I only get one try :(

Answers

Answer:

I believe your answers would be 80-(-5) and 80+5

Step-by-step explanation:

Answer:

Choice 1 and 2

Step-by-step explanation:

If it was marked wrong his actual score should be 85.

80 - (-5)     When you subtract a negative it turns positive. So:

80 + 5

85

Also

80 + 5 = 85

can someone plz help me with this math equation!

Answers

Answer:

x² + 2x + 9 - [tex]\frac{7}{x+3}[/tex]

Step-by-step explanation:

Using Synthetic division

- 3 |   1    5     15   20

       ↓  - 3   - 6    - 27

     ----------------------------

       1     2      9     - 7 ← remainder r(x)

Quotient Q(x) = x² + 2x + 9

Thus

x³ + 5x² + 5x + 20 = x² + 2x +9 - [tex]\frac{7}{x+3}[/tex]

Write an algebraic expression for the given word expression:
6.8 increased by a number r

Answers

Answer:

6.8 + r

Step-by-step explanation:

increased means addition, so add r to 6.8:

6.8 + r

k(x)=3/2x-1;k(x)=-4 what is the answer to this question?

Answers

Answer:

x)=3/2x-1;+k(x)=-4 wh

Step-by-step explanation:

PLEASE I NEED HELP ASAP DUE TODAY AND I DONT UDERSTAND

Answers

maybe you want to try quizzes or quizlet , i thought i had the answer but it was wrong :(

PLEASE HELP QUICKLY! 50 POINTS AND WILL MARK BRAINLIEST

Is the relation {(22,3), (21,2),(0,2),(22,9)} a function? Explain why.

Answers

Answer:

Yes it is a function because there is one output for every input.

Step-by-step explanation:

Hope this helps :)

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