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
Stella [2.4K]
3 years ago
12

In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=\frac{p}{h}

3.27=\frac{yz}{xy}

3.27×[xy]=yz

xw+wy=\frac{yz}{3.27}

wy=\frac{yz}{3.27}-80...........(1)

again

In right angled triangle WYZ

Tan 80=\frac{yz}{wy}

5.67×wy=yz

wy=\frac{yz}{5.67}

yz=5.67×wy............................................(2)

E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>

\frac{yz}{5.67}=\frac{yz}{3.27}-80

\frac{yz}{3.27}-\frac{yz}{5.67}=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=\frac{1483.272}{2.4}

yz=618.03

:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>

You might be interested in
Hwong can fit 12 packets of coffee in a small box and 50 packets of coffee in a large box. He had 10 small boxes of coffee and w
nasty-shy [4]

Hwong could fill 12 packets of coffee in small boxes:

He has 10 boxes, so 10 x 12 = 120 packets total

Hwong's packets of coffee in the large boxes:

He can fit 50 packets into the boxes, so 120/50 = 2 large boxes and a remaining 20 packets of coffee

Therefore, Hwong can fit 12 packets of coffee to 1 small box and 8 packets to the other small box

5 0
3 years ago
Read 2 more answers
The slope of the line represents the unit rate true or false
Georgia [21]

True. For example, if you pay $1 for every 5 apples the slope would either be 1/5 or 5/1 depending on if the number of apples represents x or y.

8 0
3 years ago
Timed math quiz help!
Crank

Answer:the rate of change is 35, the Cost of 7hrs is 300, and I haven’t got the initial fee yet, sorry

Step-by-step explanation:

3 0
3 years ago
-9y - 2 (2 - 7y) + 4
poizon [28]

Answer:

-9y-2(2-7y)+4 expand the brackets using-2

Step-by-step explanation:

-9y-4+14y+4

arrange the like terms

-9y+14y-4+4

=5y becoz -4+4=0

ans=5y

7 0
3 years ago
Read 2 more answers
I need clean and clear answers please!<br><br> Thank you
lina2011 [118]
Okay so we get: subtract m + 8 from 5m + 11

5m + 11 = 16 + m or 16m

16m - 8 +m or 8m = 8m or 8 + m

5 0
3 years ago
Other questions:
  • 60 x 60 - 500 +40 + (120000000000 x 200) x 10 + 500000 =
    10·1 answer
  • An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, r
    6·1 answer
  • Help I don’t get it.......
    5·1 answer
  • Fill in the blanks.<br><br> (x+_)^2=x^2+14x+_
    10·1 answer
  • In Gloria class about 25% of the students wore sweatshirts to school one day. If there are 29 students in her class about how ma
    9·1 answer
  • 2h - 3.24 = -1.1 ya'll smart ya'll got dis :)
    8·2 answers
  • Point A is -4,8) and the midpoint is (1,7.5) what is point b
    5·2 answers
  • Plzzz helpppp !!! Given m || n, find the value
    5·2 answers
  • Which of the following 95% confidence intervals would lead us to reject Hp =0.30 in favor of
    9·1 answer
  • Is the function show liners or nonlinear?Explain
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!