Answer:
47.3 m³
Step-by-step explanation:
The garden shed is made up of a rectangular prism and a pyramid.
<h3><u>Volume of a rectangular prism</u></h3>
<h3><u>Volume of a pyramid</u></h3>
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From inspection of the given diagram, the slant height of the pyramid is 3.5 m.
Calculate the perpendicular height of the pyramid using Pythagoras Theorem:
Therefore:
<h3><u>Volume of the garden shed</u></h3>
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
Answer:
16 years
Step-by-step explanation:
Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:
320000 + 5000x
The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:
624000 - 14000x
The number of years for the city and suburb population to be equal can be gotten from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years the populations of the suburb and the city be equal
Answer:
-4 + 2 = -2
Step-by-step explanation:
-4 -(-2) uses the process of cancellation. -(-2) is equal to positive 2, since the negatives cancel out. -4 + 2 is left, which equals -2.
Subtracting a negative from a negative is like subtracting a positive from a positive. It is even like 1-1. Once you subtract one from another, nothing is left.
It would be 4-15x
sorry if not
