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
In-s [12.5K]
3 years ago
12

Find x. 2√3 4√3 8√3 8

Mathematics
2 answers:
qwelly [4]3 years ago
7 0

Answer:

8

Step-by-step explanation:

sin theta = opposite side/ hypotenuse

sin 30 = 4/x

Multiply each side by x

x sin 30 = 4

Divide each side by sin 30

x sin 30 /sin 30 = 4 sin 30

x = 4 /sin 30

We know that sin 30 = 1/2

x = 4 / 1/2

x = 8

exis [7]3 years ago
5 0

For this case we have to, by trigonometric properties applied to rectangular triangles:

Sine (30) = \frac {Cathet \ opposite} {Hypotenuse}\\Sine (30) = \frac {4} {x}

Clearing x:

x = \frac {4} {Sine (30)}\\x = \frac {4} {\frac {1} {2}}\\x = 8

Thus, the value of the hypotenuse is 8.

Answer:

x = 8

Option D

You might be interested in
Can you help with #13 and #14<br><br> sorry about the last one :/
Dima020 [189]
Number 13 is 40 in
number 14 is 2.5
8 0
2 years ago
Read 2 more answers
1. Simplify this expression: 13+ (-12) - (-5) = ?<br> O A.-30<br> O B.6<br> O C.30<br> OD. -6
Virty [35]

Answer:

B.6

Step-by-step explanation:

When we add and subtract, we do it from left to right

13+ (-12) - (-5)

13+-12

13-12 = 1

1 - -5

A negative negative is a positive

1 +5

6

8 0
3 years ago
Read 2 more answers
(05.01)A scale drawing of a living room is shown below. The scale is 1 : 40.
matrenka [14]

Answer:

A=266\frac{2}{3}\ ft^2

Step-by-step explanation:

we know that

The scale is \frac{1}{40}

That means

1 unit in the drawing represent 40 units in the actual

or

1 inch in the drawing represent 40 inches in the actual

step 1

Find the actual dimensions of the living room

Multiply the dimensions of the living room in the drawing by 40

Length:\ 6(40)=240\ in

Width:\ 4(40)=160\ in

step 2

Convert inches to feet

Remember that

1\ ft=12\ in

To convert inches to feet , divide by 12

so

Length:\ 240\ in=240/12=20\ ft

Width:\ 160\ in=160/12=\frac{40}{3}\ ft

step 3

Find the area in square feet

Multiply the length by the width

A=(20)(\frac{40}{3})=\frac{800}{3}\ ft^2

Convert to mixed number

A=\frac{800}{3}\ ft^2=\frac{798}{3}+\frac{2}{3}=266\frac{2}{3}\ ft^2

4 0
3 years ago
Read 2 more answers
13 plus 5 times a number is no more than 30
omeli [17]
From what I'm reading from this question, there's one answer.

13 + 5 * 1 = 18 

Unless maybe I'm missing something?
5 0
3 years ago
50.38 inches in 2012 in 2013 the annual rainfall was 55.76 inches what is the difference in rainfall between the two years
Leno4ka [110]
55.76-50.38=4.38 inches of rainfall
Your welcome  =)
difference= subtraction
3 0
3 years ago
Other questions:
  • What is the difference x/x^2-16-3/x-4
    11·1 answer
  • A circle has a radius of length r. If you mark off an arc on the circle of length 2r what is the measurement of the angle that s
    8·2 answers
  • And Matthew ran a lemonade stand on Saturday they agreed that Matthew would get 60% of the profit because a lemonade stand was h
    12·1 answer
  • How many seconds are in 10 hours
    8·2 answers
  • 0<br>Domain:<br>Range:<br>Function? what is the domain​
    15·2 answers
  • In an equation or inequality, you want to get the variable.
    15·1 answer
  • AYUDAAAAAAAAAAAAAAAAAAAAAAAAAAAAA PLIS
    7·1 answer
  • Find the measure of one interior angle in each regular polygon. Round to the nearest tenth if necessary
    6·1 answer
  • Craig just purchased a new car. He financed $45,000 and must pay it back over 5 years with 11% interest. How much will Craig hav
    15·1 answer
  • How do you solve this?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!