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
romanna [79]
3 years ago
13

In ΔDEF, e = 2.7 inches, ∠F=49° and ∠D=58°. Find the length of f, to the nearest 10th of an inch.

Mathematics
1 answer:
Anton [14]3 years ago
7 0

Answer:2.1

Step-by-step explanation:

\text{Draw a diagram:}

Draw a diagram:

D

E

F

e = 2.7

f = ?

49°

58°

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

​

=

sinB

b

​

\text{Find other angle:}

Find other angle:

\angle E=180-49-58=73^{\circ}

∠E=180−49−58=73

∘

D

E

F

e = 2.7

f = ?

49°

58°

73°

\frac{f}{\sin 49}=\frac{2.7}{\sin 73}

sin49

f

​

=

sin73

2.7

​

f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1

f=

sin73

2.7sin49

​

≈2.131≈2.1

You might be interested in
Ricky is on a bicycle trip.every 4 days he bikes 230km. If Rick keeps his same pace for 16 days how many kilometers will he bike
Arlecino [84]
He will bike 920 km because 4 days time 4 equals 16 days and 230 km times 4 equals 920 km.
plz give mw brainliest if this helped
3 0
3 years ago
Read 2 more answers
Find the domain of the relation:
Lerok [7]
The domain is -3, -1, 0, 1, 5
8 0
3 years ago
Sam has 12 black and white photos and 18 color photos. He wants to put the photos in equal rows so each row has either black and
elena-s [515]

12 black and white, 18 color in one row
6 black and white, 9 color in two rows
4 black and white, 6 color in three rows
2 black and white, 3 color in six rows
8 0
3 years ago
Read 2 more answers
Write and solve a system of equations for this question please
andre [41]
Let b and s be the velocity of the boat and stream respectively....

3(b-s)=27

b-s=9

b=9+s  we will use this in the second equation....

2(b+s)=30

b+s=15, now use b found above in this to get:

9+s+s=15

2s+9=15

2s=6

s=3, and since from earlier b-s=9, b=9+s so

b=12

So the speed of the boat is 12mph and the stream is 3 mph
6 0
3 years ago
a recipe calls for 3/4 cups of white flour and 1 1/8 cups of wheat flower how much flour does the recipe need alltogether
goldfiish [28.3K]

Answer:

1 7/8

Step-by-step explanation:

3/4 time 2 is 6/8 add it too 1 1/8 and you get 1 7/8

5 0
3 years ago
Other questions:
  • Can someone help me :(((((. Did I do number 2 right ???
    12·1 answer
  • a relation is a set of ordered pairs where the first element is called the ranged while the second element is the domain​
    15·1 answer
  • Convert the angle 0=35° to radians
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=%20-%2010%20%3C%204%20%5Ctimes%20%20-%206" id="TexFormula1" title=" - 10 &lt; 4 \times - 6" a
    11·2 answers
  • What is the equation of the parabola with vertex (-2,5) and an x-intercept of x = 3
    10·1 answer
  • Y=x-3 asp need it willl make brainless
    6·1 answer
  • Whatis 1.65789 times 3456.7890876
    8·2 answers
  • 4.2.9<br> For f(x)=2*, find f (7/2) <br> How do you solve this
    8·1 answer
  • Help please! i'm in class and i have 10 mins left. :)
    10·1 answer
  • collin is building vegetable gardens. the first garden will be 3 feet long and 2/3 wide. the second garden will be 3 feet long a
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!