Answer:
∠3 = 18°
∠4 = 144°
∠2 = 36°
∠1 = 72°
Step-by-step explanation:
From the concept of alternate interior angles,
∠3 = 18°
Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.
Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;
∠4 = 180 - 2(∠3)
∠4 = 180 - 2(18)
∠4 = 180 - 36
∠4 = 144°
∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)
∠2 = 180 - 144
∠2 = 36°
Like it was done for angle ∠4 above;
∠1 = (180 - 36)/2
∠1 = 144/2
∠1 = 72°
So in slope intercept form or y=mx+b or in your case c=mx+b where b=15, x=number of movies and b=2 dollars per cd then
C=2x+15 so
the C intercept is when x=0 so
set x to 0 and get
2(0)+15=C
0+15=C
C=15
Cintercept=15
slope=m so slope=2
C intercetp=15
so if borrow certain number of movies just plug in the values for x so
1
2(1)+15=2+15=17
2
2(2)+15=4+15=19
and so on
Answer:
9cm
Step-by-step explanation:
making perpendicular "A" from center "O"
we get,OA=4cm(half of 8cm)
Now,
In triangle POA,
h^2=p^2+b^2
5^2=4^2+b^2
25=16+b^2
9=b^2
b=3cm
PA=3cm
hence,length of chords=3+3=9cm
Answer:
6
Step-by-step explanation:
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The formula for volume (V) is <em>l * w * h</em>, where <em>l</em> is length, <em>w</em> is width, and <em>h</em> is height. So in a sense, we have already solved the first part of this problem!
V = 10 * 8 * 3
Now, all we have to do is complete this equation to find the volume.
10 * 8 = 80
80 * 3 = 240
The volume of Jose's box for baseball cards is 240 cubic inches.
Hope that helped! =)
