Answer:
145 yards squared
Step-by-step explanation:
So the area of the base is area of a square with side length of 5 yards 
The area of one triangular face base times height divided by two and then simply multiplied by 4 because there are 4 triangular faces.
So the total surface area is 
yards squared
Answer:
50%
Step-by-step explanation:
The P(even or divisor of 28) = P(even) + P(divisor of 28) - P(even and divisor of 28). The P(even) = 2/4 = 1/2. The P(divisor of 28) = 2/4 = 1/2. The P(even and divisor of 28) = 2/4 = 1/2 as 2,4 are even numbers and divisors of 28.
1/2 + 1/2 - 1/2 = 1/2 = 50%
Answer:
254 cm² (to 3 s.f.)
Step-by-step explanation:
Area of shaded region
= area of large circle -area of smaller circle
Radius of large circle= 15cm
Radius of smaller circle= 12cm
Area of shaded region
= π(15²) -π(12²)
= 225π -144π
= 81π
= 81(3.14)
= 254.34
= 254 cm² (3 s.f.)
Answer:
x = 0 or x = 1/2 and x = -1 for the second equation
Step-by-step explanation:
Solve for x:
4 x^2 - 2 x = 0
Factor x and constant terms from the left hand side:
2 x (2 x - 1) = 0
Divide both sides by 2:
x (2 x - 1) = 0
Split into two equations:
x = 0 or 2 x - 1 = 0
Add 1 to both sides:
x = 0 or 2 x = 1
Divide both sides by 2:
Answer: x = 0 or x = 1/2
_______________________________
Solve for x:
x^2 + 2 x + 1 = 0
Write the left hand side as a square:
(x + 1)^2 = 0
Take the square root of both sides:
x + 1 = 0
Subtract 1 from both sides:
Answer: x = -1
