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
kodGreya [7K]
2 years ago
8

In ΔEFG, f = 42 inches, e = 39 inches and ∠E=43°. Find all possible values of ∠F, to the nearest degree.\

Mathematics
1 answer:
zavuch27 [327]2 years ago
7 0

Answer:

The angle F = 47.25°

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that f =42inches  and  e = 39 inches

Given that ∠E = 43°

By using sine rule

                 \frac{a}{sinA} = \frac{b}{sinB} = \frac{C}{sinC}  = 2R

                \frac{e}{sinE} = \frac{f}{sinF}

 ⇒          \frac{39}{sin43} = \frac{42}{sinF}

  Cross multiplication , we get

⇒       39 sin F = 42 × sin 43°

             sin F = \frac{42 X 0.68199}{39}

⇒           sin F = 0.734459

<u><em>Step(ii):-</em></u>

⇒       sin⁻¹ (sin F)= sin ⁻¹ ( 0.734459)

⇒            F = 47.25

The angle F = 47.25°

You might be interested in
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round
stira [4]

Answer:

23 and 67

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PQRS IS A TRAPEZIUM IN PQ=16CM ,QR=12CM RS=8CM AND PQR=30° CALCULATE THE AREA OF PQRS​
Nikolay [14]

Answer:

The answer is in a picture

And♤ merry Christmas♡

Step-by-step explanation:

5 0
2 years ago
Pls help 100 points given to u
zimovet [89]

Answer:

9 is 2

10 is 6

Step-by-step explanation:

7 0
2 years ago
Suppose a rectangular garden plot has a length that can be expressed as x+2 feet and a width expressed as x+7 feet. Write a poly
mafiozo [28]

Answer:

Area = x^2 + 9x + 14

Perimeter = 4x + 18

Step-by-step explanation:

Given:

Length of rectangular garden = (x + 2) ft

Width = (x + 7) ft

Required:

a. Polynomial expression of the area of the garden

b. Polynomial expression of the perimeter of the garden

SOLUTION:

Area of the rectangular garden = length × width

Area = (x + 2)(x + 7)

Expand using the distributive property of multiplication

Area = x(x + 7) +2(x + 7)

Area = x^2 + 7x + 2x + 14

Area = x^2 + 9x + 14

Perimeter = 2(length) + 2(width)

Perimeter = 2(x + 2) + 2(x + 7)

Perimeter = 2x + 4 + 2x + 14

Collect like terms

Perimeter = 2x + 2x + 4 + 14

Perimeter = 4x + 18

6 0
2 years ago
Drag the steps and drop them in order from start to finish
Whitepunk [10]
You can’t see it the picture isnt clear
4 0
3 years ago
Other questions:
  • Letters that represent numbers are called ?
    10·2 answers
  • Explain how finding the nth element in a pattern is using deduction.
    14·1 answer
  • A 3-mi cab ride costs $7.30. A 8-mi cab ride costs $15.30. Find a linear equation that models a relationship between cost c and
    10·1 answer
  • I need help answering this!
    10·2 answers
  • Tim has some marbles. Sue has twice as many marbles as Tim. Jim has 15 marbles. Tim, sue and Jim have a total of 63 marbles. How
    5·1 answer
  • Two gyms offer different rates for taking Cross Fit classes. Muscles Gym charges $4 per
    11·1 answer
  • Given the following linear function sketch the graph of the function and find the domain and range.
    14·1 answer
  • What is the GCF for # 2 <br><br> 2) 2x^2 -20x+32
    10·1 answer
  • Please help I will give brainliest.
    13·1 answer
  • Imagine you are an architect hired by a newly elected mayor to design a city. What questions might you have for the mayor before
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!