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
kolbaska11 [484]
3 years ago
12

Find the missing lengths of the sides

Mathematics
2 answers:
Luba_88 [7]3 years ago
8 0

Answer:

Option A is correct.

Step-by-step explanation:

Given:

Angles of the right angled triangle : 60° , 30° and 90°

Measurement of the side opposite to angle 60°, b is 9√3 yd

To find: Missing measures of the sides.

 

Vertex are marked and pic is attached.

We use Law of sines to find missing values.

\frac{a}{sin\,A}=\frac{b}{sin\,B}=\frac{c}{sin\,C}

\frac{a}{sin\,30}=\frac{9\sqrt{3}}{sin\,60}

a=\frac{9\sqrt{3}}{sin\,60}\times sin\,30

a=\frac{9\sqrt{3}}{\frac{\sqrt{3}}{2}}\times\frac{1}{2}

a=18\times\frac{1}{2}

a=9

Now, Consider

\frac{9\sqrt{3}}{sin\,60}=\frac{c}{sin\,90}

c=\frac{9\sqrt{3}}{sin\,60}\times sin\,90

c=\frac{9\sqrt{3}}{\frac{\sqrt{3}}{2}}\times1

c=18

a = 9 yd and c = 18 yd

Therefore, Option A is correct.

Kay [80]3 years ago
4 0
Your answer would be A.

according to the 30°, 60°, 90° triangle rules,
side a would equal x
side \: b \: would \: equal \: x \sqrt{3}
and side c would equal 2x
You might be interested in
Don’t understand:):7:8):8:):8?:8:):
beks73 [17]

( -3, 6 ) and ( 2, 6 )

Step-by-step explanation:

So your X axis is ( -3, 2).

And your Y axis is ( 6, 6 ).

So from -3 to 2, you going up +5, and from 6 to 6, you not moving anywhere, which means 0.

So the slope is 5/0

8 0
3 years ago
Gavin earned $12.58 and Niko earned $9.35 last week doing chores. They
koban [17]

Answer:

13.07

Step-by-step explanation:

Subtraction dude.

7 0
2 years ago
What is a divisor in math
Fittoniya [83]
The Divisor Is The Number That You Are Dividing With. Example:
12/4 = ?
4 Is The Divisor.
8 0
3 years ago
Find the side length of triangle.
Llana [10]

Answer:

x=4

Step-by-step explanation:

Let's solve the equation:

3x+12=4x+8

12=4x-3x+8

12=x+8

12-8=x

4=x

x=4

The way i got this answer was by solving the equation using the following steps. Since you're solving for one side and have two different equations, put an equal sign in between the two equations to get the equation set up above. Then you need to have the x variable on one side, instead of both sides, so you take 3x and subtract it from both sides, leaving x on one side, because 4x-3x is equal to 1x, or just x. Then we need to have what is not attached to a variable on the other side to make it easier to solve, so you would need to subtract 8 from both sides to get rid of the 8 on the side with the variable, because if you subtract 12 from both sides, it will just make it more confusing to solve, and then 12-8 is equal to 4, so you get x is equal to 4.

3 0
3 years ago
The sound intensity of rustling leaves is 100 times the reference intensity. Use your graph to determine the sound intensity of
wariber [46]

The sound intensity of rustling leaves,  y = 20 decibels

<u>Step-by-step explanation:</u>

y = 10logx

The sound intensity of rustling leaves is 100 times the reference intensity.

x = ratio of intensity of sound to reference to intensity

x = 100:1 or x = 100

y = 10 log(100) = 10 * 2 = 20 decibels

y = 20 decibels

4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you solve this complex fraction
    14·1 answer
  • The sum of three numbers is 54. the third number is 2 times the first. the first number is 6 more than the second. what are the
    6·1 answer
  • What’s the simplest form of the fraction 85 over 204
    15·1 answer
  • A bear was climbing a tree. It took a few steps forward and then slipped a few steps backward. After taking 12 total steps of eq
    7·2 answers
  • (7x+3)(x-9) simplify then find the difference
    15·1 answer
  • Is (2,10) a solution of the equation y=9x
    15·1 answer
  • If a square is 12 cm in length and 2 cm wide, what is the area of the square?
    8·2 answers
  • Given the parent function of f(x) = x4, what change will occur when the function is changed to f(−2x)?
    9·1 answer
  • Answer this question please and thank you
    6·1 answer
  • Jackie has one sister. Jackie's sister is 4 years older than her. The girls' ages add up to 28. Write an equation to solve for J
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!