Answer:
94.6m³
Step-by-step explanation:
The diagram shown in this question is a trapezoidal prism.
The volume of a trapezoidal prism is calculated as:
L × H × (P + Q/2)
Where L = Length = 4m
H = Height = 4.3m
P = Base width = 8m
Q = Top width = 3m
The volume of the trapezoidal prism =
4 × 4.3 ×(8+3/2)
=4 × 4.3 ×(11/2)
= 94.6m³
Therefore, the volume of the trapezoidal prism to the nearest tenth = 94.6m³
To determine whether or not an equation is linear or not, we look at the exponets. If the highest exponent on a single variable is one, then the equation is linear.
Answer: x = 14y + 65
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22
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:

How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.


Multiplying by (-1)

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:

So




Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
Answer:
-6
Step-by-step explanation:
Because 2×(-6) is - 12