1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
forsale [732]
3 years ago
8

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

potenuse X Y is 4. 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

Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

cos(Y)=\frac{ZY}{XY} ---> adjacent side divided by the hypotenuse

substitute the values

cos(30\°)=\frac{ZY}{4}

Remember that

cos(30\°)=\frac{\sqrt{3}}{2}

so

substitute

\frac{\sqrt{3}}{2}=\frac{ZY}{4}

ZY=(4)\frac{\sqrt{3}}{2}

ZY=2\sqrt{3}\ units

step 2

sin(Y)=\frac{XZ}{XY} --> opposite side divided by the hypotenuse

substitute the values

sin(30\°)=\frac{XZ}{4}

Remember that

sin(30\°)=\frac{1}{2}

so

\frac{1}{2}=\frac{XZ}{4}

XZ=2\ units

step 3

tan(Y)=\frac{XZ}{ZY} --> opposite side divided by adjacent side

substitute the values

tan(Y)=\frac{2}{2\sqrt{3}}

tan(Y)=\frac{1}{\sqrt{3}}

Simplify

tan(Y)=\frac{\sqrt{3}}{3}

so

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Soloha48 [4]3 years ago
7 0

Answer:

b on edg

Step-by-step explanation:

You might be interested in
Charlotte is working two summer jobs, making $7 per hour washing cars and making $15 per hour clearing tables. In a given week,
FrozenT [24]

Answer:

Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:

15 x 9 = 135

135 - 90 = 45

45/7 = 6.42

6 x 7 + 3 x 15 = 42 + 45 = 87

5 x 7 + 4 x 15 = 35 + 60 = 95

Therefore, at a minimum, Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

3 0
1 year ago
What is the relationship between 5.34x10^5 and 5.34x10^-2 MAKE SURE YOUR ANSWER IS CORRECT
blsea [12.9K]
So since the constant is the same we could divide them. If you know when you divide powers of 10 you subtract so it would be 5.34/5.34 which is 1 and 10^5- 10^-2. 5 - (-2). Which is 10^7 so it would be 1*10^7
6 0
3 years ago
2. In how many ways can five people line up at a bank teller's window?
OLga [1]
<span>5 x 4 x 3 x 2 x 1 = 120

The first person can move 5 positions since he is first. The second person can move 4 positions since one is already occupied, and so on...</span><span />
5 0
3 years ago
Read 2 more answers
Find the equation of tangent line
bogdanovich [222]

\frac{dy}{dx} 2x {e}^{x}  = 2x {e }^{x}  + 2 {e}^{x}

Evaluated at x=0 we get

y = 2x

3 0
2 years ago
Factor completely.<br> 5x2 + 9x-2
iris [78.8K]

Answer:

x2 = 1 /5  = 0.2

Step-by-step explanation:

This the anser and thats 1 over 5

4 0
3 years ago
Other questions:
  • Whole numbers with more digits are ____ than the whole numbers with fewer digits.
    12·1 answer
  • What is 4% converted to decimal
    8·1 answer
  • Solve the following system of equations by the substitution method.
    10·1 answer
  • Is 5/8 more than 11/20
    12·2 answers
  • Cynthia completed 2/3 of the items on her to do list in the morning and finished 1/8 of the items during her lunch break. What f
    10·2 answers
  • Chip begins his ride slowly but then stops to talk with some friends. After a few minutes, he continues his ride, gradually incr
    6·1 answer
  • At a university, the percentages of Distinction", "Merit", and Pass' in students are 10%, 20%
    11·1 answer
  • Please help quickly I will give you brainiest But please don't make me report you
    13·2 answers
  • Match each area to its corresponding radius or diameter of the circle.(All areas are approximate.) )
    7·2 answers
  • Which segment is half the diameter?<br> A. CD<br> B.CB<br> C.CB<br> D.CA
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!