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
navik [9.2K]
3 years ago
15

Eric is hanging a rectangle mirror that has a diagonal of 47 inches with an angle of depression of 60°. How many square inches i

s the mirror? (round to nearest tenth)

Mathematics
2 answers:
andrew11 [14]3 years ago
6 0
Check the picture below.

notice, the width is the cosine and the length is the sine.

\bf sin(60^o )=\cfrac{y}{47}\implies 47\cdot sin(60^o)=y\implies 47\cdot \cfrac{\sqrt{3}}{2}=y
\\\\\\
\cfrac{47\sqrt{3}}{2}=\stackrel{length}{y}\\\\
-------------------------------\\\\
cos(60^o )=\cfrac{x}{47}\implies 47\cdot cos(60^o)=x\implies 47\cdot \cfrac{1}{2}=x
\\\\\\
\cfrac{47}{2}=\stackrel{width}{x}\\\\
-------------------------------\\\\
x\cdot y\implies \cfrac{47\sqrt{3}}{2}\cdot \cfrac{47}{2}\implies \cfrac{2209\sqrt{3}}{4}\impliedby \textit{area of the mirror}

ch4aika [34]3 years ago
5 0

Answer:

A is correct

Step-by-step explanation:

You might be interested in
Bert earns $35,000 gross annual salary. In Bert's jurisdiction there is a progressive tax system with rules as follows: Any amou
Bogdan [553]

Answer:

7.5

Step-by-step explanation:

Given;

  • Bert earns $35,000 gross annual salary
  • Any amounts earned up to $20,000 are taxed at x%
  • Any amounts earned beyond $20,000 are taxed at 20%
  • Bert pays $4,500 per annum in income tax

To find x

Amount earned beyond $20,000

= $35,000 - $20,000

= $15,000

That is the amount to be taxed at 20%

Therefore,

x% × 20000 + 20% × 15000 = 4500

200x + 3000 = 4500

200x = 4500 - 3000

200x = 1500

x = 1500/200

x = 7.5

5 0
3 years ago
foston is between liberty and west qual and is 4 inches from liberty in the map. how far is foston from west quall
Kobotan [32]

In order to calculate that distance, we need to know the
" scale " of the map ... how many miles is represented by
1 inch on the map, or the ratio.

Different maps are drawn with different scales.

4 0
3 years ago
HARD QUESTION. THINK SMARTER Can you please help me with this question. pleaseeeeeee
Mumz [18]
The length of his territory is 12 square miles long, just divide 96 and 8, in which you get 12
7 0
3 years ago
Read 2 more answers
Yo can someone help please
Mama L [17]

Answer: 5/3

One of the side lengths goes from 3 to 5. So, the scale factor is 5/3.

Hope that helped!

:)

7 0
2 years ago
314 stones for a cost of 2,512.00, how many stones are needed is the cost is 1,584.00
kondor19780726 [428]

Answer:

x≈231.123

Step-by-step explanation:

1) Make a ratio 314/2512= x/1584

2) Use the concept of cross multiplication and get 314*1584=2512x

3) Use Algebra:

314*1584=497,376

497,376/2152=2512x/2152

x≈231.123

8 0
3 years ago
Other questions:
  • How do you find the surface area for this???
    14·1 answer
  • How many miles are equivalent to 89,760 feet?
    7·2 answers
  • I don’t know what to do
    7·1 answer
  • Factorise: t3+t2+t+1
    13·1 answer
  • When Akbar’s son was four years old, Akbar put $250 into an account that guaranteed a 10% annual return. The equation f(x=250(1.
    11·2 answers
  • If there are 20 and someone gives you 256 more how many do you have
    8·2 answers
  • What shape is this cross-section?
    9·2 answers
  • Nicki's class needs to raise 89.45 in order to have a pizza party so far she has 69.90 how much more money does Nicki's class ne
    8·1 answer
  • If the amount of waking time 4 year old children spend with their fathers each day is 42 minutes while the daily waking time spe
    14·1 answer
  • Solve please I can’t figure out
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!