Answer:
this is the answer Hope's it helps
The formula for the volume of a cone is V = PI x r^2 x h/3
r = 1/2 the diameter. 1/2 of 8 = 4 inches.
h = height = 12 inches.
Using 3.14 for PI, the formula now becomes:
V = 3.14 x 4^2 x 12/3
V = 3.14 x 16 x 4
V = 200.96 cubic inches.
You do not say if the answer needs to be rounded, so round the answer as needed.
What you could do here is find a common denominator between 1/5 and 1/6 to find a fraction that doesn't have a denominator of 1/6.
In this case, the least common denominator is 30.
1/5 * 6/6 = 6/30
1/6 * 5/5 = 5/30
So, 5/30 is a fraction that refutes Maria's claim. Hope that helped!
Answer:
area of the garden as a polynomial in standard form = 2t² + 7t - 4
The dimension will be 8 ft by 7 ft.
Step-by-step explanation:
The area of a rectangular shape is the product of the length and the width. Ms Ahmed rectangular garden with a length represented as t + 4 and width of 2t - 1 , the area of the garden can be solved by multiplying both value.
Area of the garden = (t + 4)(2t - 1)
Area of the garden = 2t² - t + 8t - 4
Area of the garden = 2t² + 7t - 4
Expressing the area as a polynomial in standard form simply implies that the terms are express from the biggest exponent tot he lowest exponent. Therefore,
area of the garden as a polynomial in standard form = 2t² + 7t - 4
When the area is 56 ft².
2t² + 7t - 4 = 56
2t² + 7t - 4 - 56 = 0
2t² + 7t - 60 = 0
fin the numbers you can multiply to give you -120 and add to give you 7. The numbers are 15 and -8. Therefore,
2t² + 15t - 8t - 60 = 0
t(2t + 15) -4(2t + 15) = 0
(t - 4)(2t + 15) = 0
t = 4 or -15/2
let use t = 4 as it is positive .
area = (t + 4)(2t - 1)
area = (4 + 4 )(8 - 1)
area = 8 × 7 = 56 ft²
The dimension will be 8 ft by 7 ft.