1/3 of 42 = 14 ( Alyanna)
4/7 of 42 = 24 ( Rose )
24+14= 38
42-38= 4
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Alright, so first of all, you need to find the area of the circle that is part of the cone-shaped area so you can remove it. You need the formula:
where c = angle. Now plug in the answers, and you get:
.
This would then equal to .
now, essentially, the shape of this ENTIRE area is of 2 right triangles. Divide 120 by 2, you get 60 degrees. You have 2 60/30/90 triangles (shown in the bottom)
Now, what you need to do is to find the area of the entire thing by using the formula to calculate the right triangle area (A = (1/2)bh). You have
b, which is
6. To find the h, you use
tan(60) = x/6, which gives you
.
The area of one right triangle of this size would be =
Because 2 right triangles, multiply the area by 2 and get:
Now, remember the area of that circle in that total area? subtract it from the total area (
) by 12pi and you get 24.65.
The final answer is 24.65
Answer:
x = 55 or x = 15
Step-by-step explanation:
Solve Absolute Value.
We know that either 1/5x - 7 = 4 or 1/5x - 7 = -4.
1/5x - 7 = 4
1/5x - 7 + 7 = 4 + 7
1/5x = 11
1/5x (5) = 11 (5)
x = 55 (one possibility)
1/5x - 7 = -4
1/5x - 7 + 7 = -4 + 7
1/5x = 3
1/5x (5) = 3 (5)
x = 15 (second possibility)
Sophia has not even completed 1 book. She has managed to complete 83% of the book.
<u>Explanation:</u>
Given:
Time taken to read one book = 1/5
Total weeks for which sophia read = 1/6
Number of books, z = ?
Total weeks = z X time taken to read one book
Therefore, sophia has not even completed 1 book. She has managed to complete 83% of the book.
One side of triangle is given equilateral triangle which means all the angles of the triangle is 60°
so we have angles of bigger triangle:-
- 60°
- 60+35= 95°
- x( to find )
<h3>Use angle sum property </h3>
( sum of all interior angles is 180°)