Area of the trapezoidal bucket, A is 130x² - 77x - 36 cm²
Step-by-step explanation:
- Step 1: Area of a trapezoid = 1/2 (Sum of parallel sides) × Height
Sum of parallel sides = (10x - 2) + (16x + 10)
= 26x + 8 = 2(13x + 4)
Height = 10x - 9
⇒ Area of the bucket = 1/2 × 2(13x + 4) (10x - 9)
= (13x + 4)(10x - 9) cm²
= 130x² - 117x + 40x - 36
A = 130x² - 77x - 36
Answer:
Circumference ≈ 50.27
Area ≈ 201.06
Step-by-step explanation:
The circumference of a circle is 
while the area of the circle 
Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × 
× 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)
Answer:
y = 3x - 7
Step-by-step explanation:
The <em>point-slope formula</em> for a straight line is
y – y₁ = m(x – x₁)
x₁ = 4; y₁ = 5; m = 3 Substitute the values
y – 5 = 3(x - 4) Remove parentheses
y – 5 = 3x - 12 Add 5 to each side
y = 3x - 7
The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.
Use the percent proportion
21 x
—— = ——
100 300
to solve :
21 x 300 = 6300
6300 ÷ 100 = 63
Answer = 63 of Elmer’s shells are fossilized snail shells :)
60 percent of 150 is 90. So that means 60 shots do not go in.
