Answer:
Step-by-step explanation:
Remark
The two angles with x in them are = 90 degrees. That's because this is a right angle triangle.
Equation
x^2 + 10x + 115 = 90 Subtract 90 from both sides
Solution for x
x^2 + 10x + 115 - 90 = 0
x^2 + 10x + 25 = 0
Factor
(x + 5)(x + 5) = 0
x = - 5
Angle C
C = 10x + 115
C = 10*-5 + 115
C = -50 + 115
C = 65
<em>Angle A (which you don't need)</em>
x^2 = (-5)^2
x^2 = A = 25
Find BC
Cos(C) = adjacent / hypotenuse
Cos(65) =0.4226
AC = hypotenuse = 65
0.4226 = adjacent / 44 Multiply both sides by 44
44 * 0.4226 = adjacent
adjacent = 18.6 to three places.
2 1/2 * 7 = 17.5. she ran 7 days
Answer: 36 square units
Step-by-step explanation:
Divide the figure into 2 shapes: a rectangle and a triangle. Count the squares to find the dimensions of each figure. The rectangle has a width of 4 units and a length of 6 units. The triangle has a base of 6 units and a height of 4 units.
The formula for the area of a rectangle is length * width. The area of the rectangle is 4*6 = 24 square units.
The formula for the area of a triangle is (base * height)/2. The area of the triangle is (4*6)/2 = 24/2 = 12 square units.
Add the areas of both the rectangle and triangle. 24+12 = 36 square units.
