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
Westkost [7]
3 years ago
11

Find f. A) 7.4 B) 8.2 C) 10.5 D) 11.1

Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0
F=72

g=6

------------

\cos { \left( F \right)  } =\frac { { e }^{ 2 }+{ g }^{ 2 }-{ f }^{ 2 } }{ 2eg }

Therefore:

\cos { \left( 72 \right)  } =\frac { { e }^{ 2 }+{ 6 }^{ 2 }-{ f }^{ 2 } }{ 2\cdot e\cdot 6 } \\ \\ \cos { \left( 72 \right)  } =\frac { { e }^{ 2 }+36-{ f }^{ 2 } }{ 12e }

\\ \\ 12e\cdot \cos { \left( 72 \right)  } ={ e }^{ 2 }+36-{ f }^{ 2 }\\ \\ \therefore \quad { f }^{ 2 }={ e }^{ 2 }-12e\cdot \cos { \left( 72 \right)  } +36\\ \\ \therefore \quad f=\sqrt { { e }^{ 2 }-12e\cdot \cos { \left( 72 \right) +36 }  } \\ \\ \therefore \quad f=\sqrt { e\left( e-12\cos { \left( 72 \right)  }  \right) +36 }

But what is e?

E=76

G=32

g=6

And:

\frac { e }{ \sin { \left( E \right)  }  } =\frac { g }{ \sin { \left( G \right)  }  }

Which means that:

\frac { e }{ \sin { \left( 76 \right)  }  } =\frac { 6 }{ \sin { \left( 32 \right)  }  } \\ \\ \therefore \quad e=\frac { 6\cdot \sin { \left( 76 \right)  }  }{ \sin { \left( 32 \right)  }  }

If you take this value into account, you will discover that f is...

f=\sqrt { \frac { 6\cdot \sin { \left( 76 \right)  }  }{ \sin { \left( 32 \right)  }  } \left( \frac { 6\cdot \sin { \left( 76 \right)  }  }{ \sin { \left( 32 \right)  }  } -12\cos { \left( 72 \right)  }  \right) +36 } \\ \\ \therefore \quad f=10.8\quad \left( 1\quad d.p \right)

So I would have to say that the answer is approximately (c).
You might be interested in
Factor the polynomial 4b^2 - 8b
irina1246 [14]

Answer: 4b(b-2)

Step-by-step explanation: The terms 4b^2 and -8b have two things in common: they are multiples of 4 and both have at least one b. Therefore, you can pull it out of the polynomial. This would give you 4b(b-2).

6 0
3 years ago
Read 2 more answers
Awnser photo quick please #3
eduard

Answer:

#1

Step-by-step explanation:

Hope this helps! <3

4 0
3 years ago
What is the solution of system of equations y=2x - 3.5 and x - 2y=-14
sattari [20]
Use substitution...
x-2(2x-3.5)=-14
x-4x+7=-14
-3x=-21
x=7

Plug in x into one of the equations to get y...
y=2(7)-3.5
y=10.5

(7,10.5)

Make sure to follow me!
8 0
3 years ago
Which fraction divided by 3/6 is equal to -9/10
Ganezh [65]

Answer:

<h2>3/6 is the same as 9/18.</h2>

3 0
4 years ago
If 3(2x-4)=-36 ,the value of x is
nikklg [1K]

Answer:

x = -4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • The price of a car is £15400 before it is reduced by 8%. How much does it cost after the reduction? ​
    5·1 answer
  • Use triangle ABC to write the value of tan A as a ratio.
    15·1 answer
  • Sandy makes linen scarves that are 7/8 of a yard long. How many scarves can she make from 156 feet of fabric?
    13·1 answer
  • What’s the correct answer for this?
    14·2 answers
  • Yes, a binary tree can be a maxheap. Consider a binary search tree with two values 3 and 5, where 5 is at the root. The tree is
    12·1 answer
  • 9: Stella picks 8 red flowers and 9yellow flowers. How many flowers does she pick? 10: Stretch your thinking- Noah makes a ten t
    9·1 answer
  • The logo for a new company is a circle divided into 24 equally sized sectors. Six of the sectors are white, and the others are d
    6·1 answer
  • aula bought a ski jacket on sale for $8 less than half its original price. She paid $84 for the jacket. What was the original pr
    7·1 answer
  • Look at the examples below. Which example is a permutation?
    13·1 answer
  • Five metal cubes with sides of 5 cm are
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!