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]
2 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]2 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
Simplify using the distributive property, Show all work (-2x - 9)(-4).
fgiga [73]
-2x(-4)=8x
-9(-4)=36
8x+36 is the answer
6 0
2 years ago
Solve for t <br> -1(t + 8) = -7.1
umka21 [38]
The answer is t=-0.9
3 0
3 years ago
Read 2 more answers
Which statements are true for triangle lnm? check all that apply. the side opposite ∠l is nm. the side opposite ∠n is ml. the hy
balu736 [363]

The statements that are true about ΔLNM are:

Hypotenuse = LN

Opposite side to ∠L = NM

Side opposite to ∠N = ML.

<h3>What is a Right Triangle?</h3>

A right triangle has  right angle (angle 90) that is opposite to the longest side (hypotenuse).

From the image given, the right triangle has a right angle at angle M, which is oppposite to the hypotenuse, LN.

Therefore, the true statements about the triangle are:

  • Hypotenuse = LN
  • Opposite side to ∠L = NM
  • Side opposite to ∠N = ML.

Learn more about the right triangle on:

brainly.com/question/2437195

#SPJ4

6 0
2 years ago
A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as
topjm [15]

Answer:

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Step-by-step explanation:

By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:

Community swimming pool

V_{c} = l\cdot w\cdot h (1)

Wading pool

V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)

Where:

l – Length of the swimming pool, measured in feet.

h – Depth of the swimming pool, measured in feet.

w – Width of the swimming pool, measured in feet.

V_{c} – Volume of the community swimming pool, measured in cubic feet.

V_{w} – Volume of the wading swimming pool, measured in cubic feet.

The ratio of the volume of the community swimming pool to the volume of the wadling pool is:

\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)

\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }

\frac{V_{c}}{V_{w}} = 4

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

8 0
2 years ago
Read 2 more answers
Determine whether A = B, ACB, BCA, ACB, BCA, or if none of these applies.
spin [16.1K]

The relation between A and B subset is A⊆B

What is Subsets?

A set "X" is said to be the subset of "Y" is each elements of X is present in Y and is denoted by X⊆Y.

It should be noted that In roster notation, the use of the {" and "} character indicates that a set of numbers is a collection of elements, which can either be a finite or infinite collection.

Thus in the given question :

A={summer, autumn, spring, winter}

B={summer, winter}

"summer" and "winter" elements of B which is common and also presents in A therefore, B is subset of A and is denoted as A⊆B.

check and know more about sets here :

brainly.com/question/23454979

#SPJ1

4 0
8 months ago
Other questions:
  • Kim drives 378 miles and uses 18 gallons of gasoline. At that rate, how many miles can she go on 24 gallons of gas?
    15·2 answers
  • Use the following information to complete parts I, II and III.
    7·1 answer
  • PLEASE HELP ME!! GEOMETRY!<br> All I need is the value of x, and how you found it. Thanks :))
    15·1 answer
  • What is the value of 2|6+p|-3p^3 when p = -2 ?<br><br> -32<br> -16<br> 32<br> 56
    15·2 answers
  • A company's flexible budget for 14,000 units of production showed total contribution margin of $42,000 and fixed costs, $40,000.
    15·1 answer
  • Needdddd help on thissss
    10·1 answer
  • 12 + m &lt; -6 how many solutions
    13·1 answer
  • Plsss Help!! Will mark brainiest!! Due soon!!
    15·2 answers
  • PLEASE HELPPP. I’ve been stuck on this for so long
    8·1 answer
  • Hi so I need this answer quickly, and I’m rewarding 15 points
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!