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
kirill [66]
3 years ago
13

ART D: THINKING

Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Answer:

<h2> 110.41m</h2>

Step-by-step explanation:

To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.

From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°

65+55+∠EBD  = 180

∠EBD  = 180-120

∠EBD  = 60

Also ∠DBC = 90- ∠EBD

∠DBC = 90- 60

∠DBC = 30°

Applying sine rule on ΔBCD;

52/sin∠DBC = DB/sin115

52/sin30 = DB/sin115

DB = 52sin115/sin30

DB = 52sin115/0.5

DB = 104sin115

DB = 114.75 m

Also applying sine rule on ΔBED to get side BE;

BE/sin55 = 114.75/sin65

BEsin65 = 114.75sin55

BE =  114.75sin55/sin65

BE = 93.998/0.906

BE = 103.75m

Finally, applying the trigonometry identity SOH on  ΔABE

sinΔEAB = opp/hyp

sin70° = BE/AE

Since AE = x;

sin70° = 103.75/x

x = 103.75/sin70°

x = 110.41m

Hence, the value of x missing is approximately 110.41m

You might be interested in
How do you distribute 2(x + 5)
IceJOKER [234]

Answer:

2x+10

Step-by-step explanation:

to distribute you take the number on the outside of the parenthesis and multiply it with the individual values inside the parenthesis. So first you would multiply 2 times X which gives you 2x then 2 times 5 which gives you 10, then your answer would be 2x+10

5 0
3 years ago
The park has a plenic shelter as shown.
Elis [28]
Is there a picture of it ? I need to see the picture
5 0
3 years ago
Find the slope of the line that passes through (8,6) and (4,1).​
Solnce55 [7]

Answer:

\frac{5}{4}

Step-by-step explanation:

  • Slope
  • =  \frac{y2 - y1}{x2 - x1}where y2=1 , y1=6 , x2=4 , x1=8.
8 0
3 years ago
Use proportion to solve each problem.
Marysya12 [62]

Answer:

33 gasoline

Step-by-step explanation:

if 350 miles =25gosoline

then 462 miles=?

462 miles will used more gasoline so if more less divides

=462/350×25

=33 gasoline

7 0
3 years ago
Please answer the question.
antoniya [11.8K]
-5 and -9 is the answers to the question.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Kyle drive his truck 429 miles on 33 gallons of gas how many miles can Kyle drive on one gallon of gas
    12·1 answer
  • Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor
    13·1 answer
  • How do you change 1/16 into a decimal?
    14·2 answers
  • Need help with this please
    10·1 answer
  • Calculate the height of the square based pyramid
    14·1 answer
  • What two kinds of exponents are not allowed to be in a polynomial?
    5·1 answer
  • Using small pieces of construction paper, Sara makes a collage in the shape of a circle for art class. The diameter of the colla
    13·1 answer
  • 1. Sketch the graph of p(x) = 2 - 1/2x+4
    12·1 answer
  • The volume of a cube can be found using the equation V=s^3 where s represents the length of the sides of the cube. if a cube has
    11·1 answer
  • Please help me with this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!