Answer:
-24
Step-by-step explanation:
-3 (x + 4) - 2 = -2 (x - 5)
-3x - 12 - 2 = -2x + 10
-3x + 2x = 10 + 12 + 2
-x = 24
x = -24
346
It is .346 times 1,000
Answer: Angle A = 120° and angle C = 45°
Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,
{12x + 12} + 15 + {3x + 18} = 180
12x + 12 + 15 + 3x + 18 = 180
By collecting like terms, we arrive at,
12x + 3x + 12 + 15 + 18 = 180
15x + 45 = 180
Subtract 45 from both sides of the equation
15x = 135
Divide both sides of the equation by 15
x = 9
At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.
Angle A = 12x + 12
= 12(9) + 12
= 108 + 12
= 120
Angle A = 120°
Angle C = 3x + 18
= 3(9) + 18
= 27 + 18
= 45
Angle C = 45°
Answer:
40 units
Step-by-step explanation:
i took the test
Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
Length = 100 m
Width = 52 m
Area of rectangle = 100 × 52 = 5200 m²
A semicircle is half of a circle
The formula for determining the area of a semicircle is
Area = 1/2 × πr²
Diameter = 52 m
Radius = diameter/2 = 52/2
Radius = 26 m
The area of each semicircle is
1/2 × 3.14 × 26² = 1061.32 m²
The area of the surface of the pool is
1061.32 + 1061.32 + 5200 = 7322.64 m²
