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
Alex73 [517]
3 years ago
11

Find the missing sides.

Mathematics
1 answer:
love history [14]3 years ago
6 0

Answer:

Part 3)

x=6\ units

y=3\ units

Part 4) x=18\sqrt{2}\ units

Step-by-step explanation:

Part 3)

<em>step 1</em>

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

cos(30\°)=\frac{3\sqrt{3}}{x}

and remember that

cos(30\°)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

Simplify

x=(2*3)=6\ units

<em>step 2</em>

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

so

sin(30\°)=\frac{y}{x}

and remember that

sin(30\°)=\frac{1}{2}

substitute

\frac{1}{2}=\frac{y}{6}

y=6/2=3\ units

Part 4) Find the value of x

Applying the Pythagoras Theorem

x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units

Simplify

x=18\sqrt{2}\ units

You might be interested in
1325 to the nearest thousandths
Misha Larkins [42]
The answer to this is the exact same. It is 1325.
6 0
3 years ago
Read 2 more answers
Tito drives his car and covered a distance of 225 kilometers in 7.5 hours. What is the average in kilometers per hour?
Eva8 [605]

Step-by-step explanation:

I hope u are asking for average speed

average speed = total distance/total time

= 225/7.5

= 30 km/h or 30 km per hour

6 0
2 years ago
Read 2 more answers
Tony wants to model the Associative property of addition using a number sentence. Which number sentence could be used for Tonys
FinnZ [79.3K]
A. 12=12
B. 15=15
C.16 = 16
D.15=15
8 0
3 years ago
Slove for x: x+1/3=1/4
lana [24]
Hey!


To solve this problem, we must subtract one over three from both sides of the equation. This will give us x on its own.

<em>Original Equation :</em>
x + \frac{1}{3} = \frac{1}{4}

<em>New Equation {Added Subtract \frac{1}{3} to Both Sides} :</em>
x + \frac{1}{3} - \frac{1}{3} = \frac{1}{4} - \frac{1}{3}

<em>Solution {New Equation Solved} :</em>
x=- \frac{1}{12}

<em>So, this means that in the equation provided</em>,  x=- \frac{1}{12}.

Hope this helps!


- Lindsey Frazier ♥
6 0
3 years ago
Can u help me with number 7 I
Dmitrij [34]

Answer:

Scalene Triangle

Step-by-step explanation:

Defn
When all the three sides of the triangle are of different measures, it is a scalene triangle.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Que es lo mismo que 1u
    9·1 answer
  • Find the value of x when 6-4x = 6x-8x-2.
    6·1 answer
  • 4 times the difference between Evan's age "x," and 44 is 64. Write an equation to express Evan's age.
    9·1 answer
  • the legs of a right triangle are 18 cm and 80 cm. what is the length of the hypotenuse? 82 cm 85 cm 89 cm 98 cm
    7·2 answers
  • A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie.
    12·2 answers
  • Line segment AB has a length of 1 unit. it is translated 4 units to the right on a coordinate plane to obtain line segment A'B'.
    13·2 answers
  • The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2000 there were about
    10·1 answer
  • Tom has a comic book with 85 pages. He has read 30 of the pages so far. What percentage of the book has Tom read?
    8·1 answer
  • Lesson 7 Using Distributive Property Area Assignment.<br> pls help
    11·1 answer
  • 40 hours is what part of 120 hours
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!