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
Solving QE's by factoring
gogolik [260]

Answer:

The factored form of this is (x - 7)(x -4)

Step-by-step explanation:

In order to factor quadratic equaitons with a 1 as the first coefficient, we look for two numbers that multiply to the last number (28), but add up to the middle number (-11). To do this, we often list the factors of the last number.

Factors of 28

1, 28

-1, -28

2, 14

-2, -14

4, 7

-4, -7

The numbers -4 and -7 satisfy this requirement and are therefore the numbers we want. Now we stick them into parenthesis along with x terms in the front like this:

(x - 7)(x -4)

And that is the fully factored form.

7 0
3 years ago
|–9.23 – 1.79| – |–7.34 – 2.57| (25 points)
galina1969 [7]

Answer:

1.11

Step-by-step explanation:

First, you ignore the absolute value sign and subtract normally: –9.23 – 1.79 = -11.02, –7.34 – 2.57 = -9.91.  Then now you add the absolute value to the numbers: |-11.02| - |-9.91| = 11.02 - 9.91 = 1.11.

5 0
3 years ago
Read 2 more answers
Increase 80 in the ratio of 3:2​
Karolina [17]

Answer:

Ratios describe proportions. We can always multiply across ratios, or divide across them (as long as we do it to all of them). For example, the ratio 3 : 2 is the same as 6 : 4 and 300 : 200. Accuracy Tip.

Step-by-step explanation:

6 0
3 years ago
Together, a necklace and a bracelet cost $192. Find the price of each if the necklace costs 3 times as much as the bracelet
nata0808 [166]

Answer:

the necklace costs $144 while the bracelet costs $48.

Step-by-step explanation:

4 0
3 years ago
Drag each label to the correct location on the table. Classify text as CRT or LED. consumes less energy
Hatshy [7]
1.Led
2.CRT
3.CRT
4.Led
5.CRT
6.Led
7.CRT
7 0
3 years ago
Read 2 more answers
Other questions:
  • S=2*3.14r^2 2*3.14rh for h
    7·2 answers
  • A plumber uses 16 inches of tubing to connect each washing machine in the laundry source he wants to install 18 washing machine
    11·2 answers
  • Which number is bigger 5.66 or 5.661?
    13·2 answers
  • Which system of equations below can be used to solve the following problem?
    7·1 answer
  • QUESTION 3 Which inequality is a true statement?
    11·1 answer
  • Find tan0, cos0, and csc0, where 0 is the angle shown in the figure. Give exact values, not decimal approximations. BRANLIEST!!​
    10·1 answer
  • I have two bags. Bag 1 contains 10 blue marbles, while Bag 2 contains 15 blue marbles. I pick one of the bags at random, and thr
    5·1 answer
  • Please help me, I’m very confused
    13·1 answer
  • Help please I’ll give extra points
    13·1 answer
  • Drag the tiles to the boxes to form correct pairs.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!