The picture in the attached figure
[surface area of the composite solid]=1*(4*6)+2*(4*4)+2*(4*6)+2*(4*√13/2)+2*(6*2√2/2)
[surface area of the composite solid]=24+32+48+4√13+12√2
[<span>surface area of the composite solid]=135.39 yd</span>²
the answer is135.39 yd²
The solution is x = 6
Step-by-step explanation:
Let us revise some rules of the exponents
- If
, then n = m 
∵ 
∵ 9 = 3 × 3
∴ 9 = 3²
- Substitute 9 by 3² in the equation above
∴ 
- Use the second rule above for the left hand side
∵ 
∴ 
∴ 
- By using the first rule above
∴ 2x + 30 = 7x
- Subtract 2x from both sides
∴ 30 = 5x
- Divide both sides by 5
∴ 6 = x
The solution is x = 6
Learn more:
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Clean up the equation with x first and x=12.
Substitute this value in to the other equation to solve for y.
You should get a solution of (12,-8)
Answer:
Explanation
The capacity of the shelter is a constant. It is 80 people × 14 days.
That is an inverse relation: the product of the number of people and the number of days will be always the same.
As the number of people decreases the number of days that the food lasts increases, in a proportion such that the product of the days and the number of people is the same.
Thus, for 32 people the number of days the food lasts is x, such that:
- 32 people × x = 80 people × 14 days
Solving for x:
- x = 80 people × 14 days / 32 people
The food will last 35 days.
