Answer:
n=37
Step-by-step explanation:
Two lines intersect and create vertical angles.
The vertical angles are 
We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

Probability =
(number or amount of possible successes)(total number or amount of possible outcomes)
Area of any circle is (pi) x (radius squared)
Area of the whole board = (pi) x (13 squared) = 169 pi square inches
Area of the shaded region = (pi) x (5 squared) = 25 pi square inches
Probability = (success area) / (total possible area) = 25pi/169pi = <u>0.15 </u>(rounded)
Notice that if you do it my way ... keep 'pi' in the fraction ... you don't even
need to know what the value of 'pi' is, because there's one in the top and
bottom of the fraction, and they cancel.
<u>Answer:</u>
$14
<u>Step-by-step explanation:</u>
Assuming the cost of folder to be
, then the cost of notebook will be
and the cost of set of pencils will be
.
Cost of the folder = $2
Cost of notebook = 4 × 2 = $8
Cost of pencil = 2 × 2 = $4
Total cost of 1 folder, 1 notebook and 1 set of pencils = $2 + $8 + $4 = $14
Answer:
The answer to your question is x = 3; y = 3
Step-by-step explanation:
Data
angle = 45°
Opposite side = x
Adjacent side = y
hypotenuse = 3√2
To solve this problem, use trigonometric functions.
1) To find x, use the trigonometric function sine.
sin Ф = Opposite side / hypotenuse
-Solve for Opposite side (x)
Opposite side = hypotenuse x sin Ф
-Substitution
Opposite side = 3√2 sin 45
-Simplification
Opposite side = 3√2 (1 / √2)
Opposite side = 3(1)
-Result
x = 3
2) To find y use the trigonometric function cosine
cos Ф = Adjacent side / hypotenuse
-Solve for Adjacent side
Adjacent side = hypotenuse x cos Ф
-Substitution
Adjacent side = 3√2 x cos 45
-Simplification
Adjacent side = 3√2 x (1/√2)
Adjacent side = 3(1)
-Result
y = 3
Answer: look below
Step-by-step explanation: answer 2 triangles 1 rectangle triangle Area is 6
For the rectangles is 16 and the combined area is 28!