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
bija089 [108]
3 years ago
15

In ΔEFG, e = 2.6 cm, f = 7.2 cm and g=8.3 cm. Find the measure of ∠F to the nearest degree.

Mathematics
2 answers:
Svet_ta [14]3 years ago
4 0

Answer:

  • 57°  

Step-by-step explanation:

<u>Use the law of cosines:</u>

  • cos F = (e² + g² - f²)/2eg
  • cos F = (2.6² + 8.3²- 7.2²)/2(2.6)(8.3)
  •          = 0.5516
  • ∠F = arccos 0.5516
  • ∠F = 57° (rounded to the nearest degree)
goldfiish [28.3K]3 years ago
4 0

Answer:

57

Step-by-step explanation:

cos F = (e² + g² - f²)/2eg

cos F = (2.6² + 8.3²- 7.2²)/2(2.6)(8.3)

        = 0.5516

∠F = arccos 0.5516

∠F = 57° (rounded to the nearest degree)

You might be interested in
Which statements about the values of 4.099 and 40.99 are true? Select all that apply. 4.099 is 110 of 40.99. 4.099 is 1100 of 40
liraira [26]

Answer:

40.99 is 10 times more than 4.099

Step-by-step explanation:

Given the values :

4.099 and 40.99

4.099 is 110 of 40.99 : 110 * 40.99 = 4508.9 (false)

4.099 is 1100 of 40.99 : 1100 * 40.99 = 45089 (false)

40.99 is 10 times more than 4.099 : (10 * 4.099) = 40.99 (true)

40.99 is 100 times more than 4.099 : (100 * 4.099) = 409.9 ( false)

4.099 is 10 times more than 40.99 : (10 * 40.99) = 409.9 (false)

8 0
3 years ago
What is the prime factorization of 144? Be sure to show your strategy.
Assoli18 [71]

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3, which can also be written 144 = (2^4) x (3^2)

Step-by-step explanation:

4 0
2 years ago
A soccer ball is kicked into the air, and its path can be modeled with a quadratic function. The table shows the time, t, in sec
yaroslaw [1]
The y-intercepts are
(0,0) and (5,0)
The equation of the quadratic function is
f(t) = at(t-5)
Solving for a
12 = a(3)(3-5)
a = -2
The equation of the quadractic function is
f(t) = -2t(t -5)
f(t) = -2t² + 10t<span />
3 0
3 years ago
Read 2 more answers
What percent is 25 of 80? Please help
Neko [114]
The answer would be 20 .
5 0
3 years ago
The perimeter of a square garden is 128m. Find the area of the garden in hectares?five star
aleksandrvk [35]

Answer:

1024m

Step-by-step explanation:

128÷4=32

32×32=1024

7 0
3 years ago
Other questions:
  • Ava's dog weights 52 kilograms. Marty's dog weights 3/4 as much. Find the weight of Marty's dog in kilograms.
    15·2 answers
  • Given the functions j(x) = x2 + 3 and k(x) = x2 − x + 4, which operation results in a 2nd degree polynomial?
    10·1 answer
  • Is 1/3 greater than less than or equal to 0.33
    10·2 answers
  • Which inequality represents the statement below?
    6·2 answers
  • Can anyone help me with number 10??
    5·1 answer
  • Who is lionel messi​
    11·2 answers
  • Triangle ABC and DEF are similar
    7·2 answers
  • Pastillas de leche are milk candies that originated in the Philippines that contain only two ingredients: sugar and milk. In 18
    14·1 answer
  • At the craft store, Kim bought a bag of marbles. In the bag there were 20 blue marbles and 30 green marbles. What percent of the
    6·2 answers
  • What is the surface area of the given figure?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!