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
g100num [7]
3 years ago
9

Find the perimeter of the figure

Mathematics
1 answer:
nalin [4]3 years ago
5 0

Answer:

The perimeter is 66.9 units

Step-by-step explanation:

See the attached figure with letters to better understand the problem

step 1

In the right triangle ABD

<em>Find the length side AD</em>

tan(33^o)=\frac{8}{AD} ----> by TOA (opposite side divided by the adjacent side)

AD=\frac{8}{tan(33^o)}=12.3\ units

Find the length side BD

sin(33^o)=\frac{8}{BD} ---> by SOH (opposite side divided by the hypotenuse)

BD=\frac{8}{sin(33^o)}=14.7\ units

step 2

In the right triangle CDE

Find the length side CE

cos(64^o)=\frac{CD}{CE} --> by CAH (adjacent side divided by the hypotenuse)

we have

CD=BD/2=14.7/2=7.35\ units

substitute

CE=\frac{7.35}{cos(64^o)}=16.8\ units

Find the length side DE

tan(64^o)=\frac{DE}{CD} --> by TOA (opposite side divided by the adjacent side)

DE=tan(64^o){7.35}=15.1\ units

step 3

Find the perimeter of the figure

The perimeter is equal to

P=AB+AD+BD+CE+DE

substitute the values

P=8+12.3+14.7+16.8+15.1=66.9\ units

You might be interested in
In a recent year, the world production of wheat was about 5.2x10^8 metric tons. canada produced 1/25 of this wheat. about how mu
kipiarov [429]

Solution: The amount of wheat produced by the world =5.2 \times 10^{8} metric tons.

We know that 5.2 \times 10^8=520,000,000

We are given that Canada produced \frac{1}{25} of world production.

Therefore, the amount of wheat produced by Canada is:

\frac{1}{25} of 520,000,000=\frac{1}{25} \times 520,000,000

                        =20,800,000

                         =2.08 \times 10^{7} metric tons

Hence the 2.08 \times 10^{7} metric tons are produced by Canada.

8 0
4 years ago
Read 2 more answers
2x+5y=15;(4,4) find the equation for the line that is parallel to the given line and contains the given point
nasty-shy [4]
The answer i got is Y= -2/5x +1 3/5
6 0
4 years ago
Which of the following best describes the graph shown below
nataly862011 [7]
Since the graph of a linear function is a straight line, so the first option is not correct.
The given graph is of a function because for a particular value of y, there is a fixed value of 'x'.
Also, since there are two different values of x having same value for y, so the function is not one-to-one. For example, If y = f(x) is the function, then f(1.5) = f(-1) = 3.
Therefore, the graph represents a function, but it is not one-to-one.
Thus, the correct option is (A) THE ANSWER Is A
8 0
2 years ago
Read 2 more answers
Please show me how to get the answer to 6 1/2×(-3 3/8)
ahrayia [7]
Set it up:
13      -27
----  x  ----
 2         8
then make the bottom numbers the same:
52      -27
----  x  ----
 8         8
After this you just multiply:
-1404       -351
--------- = ---------
    64          16
thats the final answer
4 0
3 years ago
Help me kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Natalija [7]

Answer:

this is not mathmatics

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the total surface area of the cone?
    12·1 answer
  • Why would the first step be to add 5 to both sides
    6·1 answer
  • Write first three terms of AP with a = -1 and d = 1/2​
    12·1 answer
  • What is the range of 19, 12, 13, 3, 0, 0, 0, 0, 0, 0, 2, 13
    7·2 answers
  • Someone help me please ASAP!!!
    11·1 answer
  • Suppose that you can save $50 by buying your car in a different city. if the trip requires only $10 in gasoline, is the trip wor
    5·2 answers
  • How does Reflection work in real-life situations?
    14·2 answers
  • The tape diagram below represents 100%.
    8·1 answer
  • The amount of money earned on a job is directly proportional to the
    8·1 answer
  • If you roll a six-sided die 1,000 times, about how many times would you expect to land on a three?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!