Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
Answer:
29 trash cans!
Step-by-step explanation:
Hello!
To solve this, we simply divide the budget by how much each garbage can costs. This will tell us how many times 96 goes into 2,784, and thus, how many they can buy.
$2,784 ÷ $96 = 29!
So, they can buy 29 trash cans with that budget!
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Have a great day!
Answer:
a(t) = 700t-400
Step-by-step explanation:
Given that when Nour drove altitude increased at a constant rate. Let us consider sea level as 0 and starting time as 0 we have
At the start t =0 and a = -400 m
When t=2 a = 1000 m.
Rate of change of a wrt time = change in a/Change in time
= {1000-(-400)}/(2-0) = 700
i.e. slope = 700
a = 700 t +C
To find C:
When t =0, a =-400
Hence C =-400
Equation is a(t) = 700t-400
Answer:
the blank contains the term 2⁴²
Step-by-step explanation:
The Equation given in the question (2²¹ − 1)(2²¹ +1)
on evaluating the above expression,
we have
⇒ 2²¹ × (2²¹ + 1 ) -1 × (2²¹ + 1)
or
⇒ 2²¹⁺²¹ + 2²¹ - 2²¹ - 1² (using the property Xᵃ × Xᵇ = Xᵃ⁺ᵇ)
or
⇒ 2⁴² + 0 - 1
or
⇒ 2⁴² - 1
on comparing the result with LHS, we have
therefore,
the blank containing the term 2⁴²