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
Art [367]
2 years ago
7

Use △DEF, shown below, to answer the question that follows:

Mathematics
2 answers:
Dafna11 [192]2 years ago
8 0

Answer:

DE= 3.75 units

Step-by-step explanation:

Here we are given a right triangle Δ DEF right angled at E.

We are given that ∠EFD=49°

and DF = 55

DF is our hypotenuse .

Here we have to find the value of DE.

In order to do so , we will use trigonometric ratios

We know that

sin \theta = \frac{perpendicular}{Hypotenuse}

Perpendicular = DE

Hypotenuse = DF = 55

\theta=49 Degrees

sin 49= \frac{DE}{55}

We use trigonometric calculator and find sin 49° = 0.75

Hence we have

0.75= \frac{DE}{55}

DE= 55*0.75

DE=41.509 units

KIM [24]2 years ago
5 0

We're told E is right and we're given DF, the hypotenuse. We seek x=DE, the side opposite vertex F.

We have opposite and hypotenuse; that's sine.

\sin F = \dfrac{\textrm{opp}}{\textrm{hyp}} = \dfrac{DE}{DF}

x = DE = DF \sin F = 55 \sin 49^\circ = 41.50902...

Answer: 49.51

You might be interested in
For which value of theta is cot (theta) undefined?
sattari [20]

The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.


\cot(x) = \frac{\cos(x)}{\sin(x)}


Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.


Let's look at your option:


\sin(90^\circ) = 1, so the cotangent is defined here


\sin(180^\circ) = 0, so the cotangent is not defined here


\sin(270^\circ) = -1, so the cotangent is defined here


\sin(450^\circ) = \sin(360^\circ+90^\circ)=\sin(90^\circ) = 1, so the cotangent is defined here

6 0
3 years ago
Read 2 more answers
I need help on ratio of x-coordinates and ratio of y-coordinates
ad-work [718]

Answer:

Ratio of x-coordinates:

\frac{-1}{-2}=\frac{1}{2}

\frac{2}{4}=\frac{1}{2}

\frac{2}{4}=\frac{1}{2}

\frac{-2}{-4}=\frac{1}{2}

Ration of y-coordinates:

\frac{2.5}{5}=\frac{1}{2}

\frac{1}{2}=\frac{1}{2}

\frac{-2}{-4}=\frac{1}{2}

\frac{-2}{-4}=\frac{1}{2}

Step-by-step explanation:

The table is asking for the ratio of x-coordinates for each point (A, B, C and D) for both the image and pre-image.  The ratio is the image 'x' or 'y' value ÷ the pre-image 'x' or 'y' value.  Each ratio should be expressed in simplest form and should show the same pattern of dilation, or same scale factor.  In this case, the second figure is 1/2 the size of the original figure.  

5 0
3 years ago
Help fast! An apple and an orange weigh as much as a pear and peach weigh together. An apple and a pear weigh less than an orang
Sauron [17]

Answer:

i think it is a pear and apple

Step-by-step explanation:

I really hope this helps

7 0
2 years ago
Choose function or not a function {(0, 3), (4, 2), (3, 5), (4, 6), (5, 7)}
Montano1993 [528]

Answer:

not a function

Step-by-step explanation:

if any of the x values are the same then it isn't a function

4 0
3 years ago
A bird is flying at an elevation of 3 5/8 feet above sea level. A fish swims directly under the bird at a depth of 5 1/3 feet be
Stells [14]

Given :

Distance of bird from sea level, d_1 = 3\dfrac{5}{8} = \dfrac{29}{8}\ feet .

Distance between fish and sea level, d_2=5\dfrac{1}{3}=\dfrac{16}{3}\ feet .

To Find :

Distance between bird and fish.

Solution :

Distance between bird and fish is given by :

D=d_1+d_2\\\\D = \dfrac{29}{8}+\dfrac{16}{3}\\\\D=8.958\ feet

Therefore, distance between bird and fish is 8.958 feet.

Hence, this is the required solution.

3 0
2 years ago
Other questions:
  • Selena rides her bicycle to work. It takes her 15 minutes to go 3 miles. If she continues at the same rate, how long will it tak
    13·1 answer
  • Answer with explanation plz
    13·1 answer
  • Use your calculator to find tan 117° 35' 20"
    5·1 answer
  • I dont know how to solve this problems
    8·1 answer
  • Describe a situation that could be represented with this tape diagram.
    15·2 answers
  • How many 12/4 are in 3
    11·1 answer
  • How are the speakers of "Some Keep the Sabbath Going to Church"
    6·1 answer
  • 9+4(x+2)-3x select the term that describes 3
    5·1 answer
  • 1 over 5 +2 over 25 =
    9·2 answers
  • Help for brainiest asap pleaseeeeee
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!