Answer:
CD = 6.385 units
Step-by-step explanation:
Given triangle ABC with right angle at C.
And AB = AD + 6 .
Now, consider the triangle ABC.
⇒ cos(∠BAC) = 
(cosФ = adj/hyp)
cos(20) = .
0.9397 = 
(since AB = AD + 6 and AC = AD + CD)
⇒ 0.9397 AD + 5.6382 = AD + CD
⇒ CD = 0.0603 AD + 5.6382. →→→→→ (1)
⇒ sin(∠BAC) = 
(sinФ = opp/hyp)
sin(20) = .
⇒ BC = AB sin(20) . →→→→→(2)
Now, consider the triangle BCD,
sin(∠BDC) = 
⇒ sin(80) =
CD = 
From (2), CD = 
.
⇒ CD = AB (0.3473)
⇒ CD = (AD + 6) (0.3473)
⇒ CD = 0.3473 AD + 2.0838 →→→→→→(3)
Now, (1) →→ CD = 0.0603 AD + 5.6382
(3) →→ CD = 0.3473 AD + 2.0838
⇒ 0.0603 AD + 5.6382 = 0.3473 AD + 2.0838
0.287 AD = 3.5544.
⇒ AD = 12.3847
⇒ From (1), CD = 0.0603(12.3847) + 5.6382
⇒ CD = 6.385 units
3 bags, sorry if this is wrong the question doesnt make much sense to me
Answer:
108 books.
Step-by-step explanation:
Let the number of magazines = m
Let the number of books = b
<u>Given the following data;</u>
Total number of m & b = 162
<em>Translating the word problem into an algebraic equation, we have;</em>
......equation 1
......equation 2
<em>Substituting equation "1" into equation "2" we have;</em>
m = 54
Now to find the number of books;
Substituting the value of "m" into the equation, we have;
<em>b = 108</em>
<em>Therefore, the total number of books in the library is 108 books. </em>
Answer:
a). BLUE color
b). 20%
Step-by-step explanation:
a). "Which color was chosen by approximately one fourth of the students?"
Since one fourth of the students will be represented by one fourth area of the circle given.
That means color of choice represented by the quarter of the circle will be the color liked by one fourth students.
In the figure attached, BLUE color is the choice of one fourth students in the class.
b). Area represented by purple, green and other colors is a quarter of the circle.
If we divide this quarter into five equal sections, then the total of purple and green will be 
of the the quarter of the circle.
Measure of the angle defined by purple or green sections = 
= 72°
Percentage of the students who preferred purple or green = 
= 20%
Answer:
he most popular color is .
blue
The least popular color is .
purple
There are 30 students in Paul’s class.
That means that students voted for green. 3
Step-by-step explanation:
its right ,i did it.
