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]
4 years ago
12

Find the missing lengths of the sides

Mathematics
2 answers:
Luba_88 [7]4 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]4 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
Pleaseeeeeeeeeeeeeee answerr
ELEN [110]

Answer:

The answer is C.  11/29

Step-by-step explanation:

Simplify the left side.

29a - 5 = 6

Move all terms not containing  a  to the right side of the equation.

29a = 11

Divide each term by  29  and simplify.

a =  11 /29

5 0
3 years ago
A rope to length 30m is divided in the ratio 2:3. calculate the length of the longest
Vlada [557]

longest part = 18 m

add the parts of the ratio 2 + 3 = 5

divide 30 by 5 to find the value of 1 part of the ratio

\frac{30}{5} = 6 ← 1 part

2 parts = 2 × 6 = 12 m

3 parts = 3 × 6 = 18 m ← longest part


8 0
3 years ago
Read 2 more answers
Find the slope that passes through (4,9) and (6,8) <br>​
Aliun [14]
Answer: Y=-1/2x +11

-1/2 is the slope and 11 is the y-intercept
3 0
3 years ago
What is a unit fraction
artcher [175]

Answer:

Step-by-step explanation: A unit fraction is one part of a whole that is divided into equal parts. A unit fraction has 1 as the top number, which is the numerator. ... With unit fractions, when the bottom number - called the denominator - is bigger, the value of the unit fraction is smaller.

3 0
3 years ago
Read 2 more answers
The number 4.077 Rounded to the nearest hundredth is what ​
Svetllana [295]

Answer:

<h3>40.77 is ur answer </h3>

Step-by-step explanation:

<h3>plz mark as brainliast</h3>

4 0
3 years ago
Other questions:
  • The Campagnolo Hyperon Ultra Two carbon wheel has 11 spokes evenly distributed around the rim of the wheel. What is the measure,
    5·1 answer
  • Which formula is a molecular compound? A. NaCl B. CaO C. H2O2 D. MgS
    8·1 answer
  • Anna has let out 50 meters of kite string when she observes that her kite is directly above emily. If anna is 35 meters from emi
    9·2 answers
  • On each necklace Gabby makes, there are 3 more purple beads than silver
    13·1 answer
  • What is 68 out 80 expressed in percent and decimal
    8·2 answers
  • What is the measure of
    14·1 answer
  • Solve for x in the following equation <br> 2^(8x-8)=4^7x
    15·1 answer
  • Ben is an elementary school student whose height is 4 feet tall. He grows 1.5 inches every year. Johnny is also an elementary sc
    9·1 answer
  • The model shows the expression 20+ 16.
    11·1 answer
  • Find the missing length of the triangle. ASAP Due Today
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!