<h3>
Solution (a):</h3>
<em>~Let's change 9.9² to 10² since we have to estimate.~</em>
<u>We know that:</u>
- 10² = 100
- Given expression: 9.9² × 1.79
<u>Solving the expression:</u>
- 9.9² × 1.79
- => 10² × 1.79
- => 100 × 1.79
- => 179
The estimated value of 9.9² × 1.79 is 179.
<h3>Solution (b):</h3>
<em>~Let's change √97.5 to √100 and 1.96 to 2</em> <em>since we have to estimate.~</em>
<u>We know that:</u>
- √100 = 10
- Given expression: √97.5 ÷ 1.96
<u>Solving the expression:</u>
- √97.5 ÷ 1.96
- => √100 ÷ 2
- => 10 ÷ 2
- => 5
The estimated value of √97.5 ÷ 1.96 is 5.
Answer: Option B. 96 ft^3
Solution:
Volume of the prism: V=?
V= A * H
Height of the prism: H=4 ft
Area of the base (triangle) : A=b*h/2
Base of the triangle: b=6 ft
Height of the triangle: h=8 ft
A=(6 ft)*(8 ft)/2
A=48 ft^2/2
A=24 ft^2
V=A*H
V=(24 ft^2)*(4 ft)
V=96 ft^3
2/1 or just 2 is the steepest, because it is the closest to the y-axis.
Steepest slope is: 2/1 or just 2
Steep but not that is: 3/5
Not steep is: 1/3
Y=12-3x
3x+y=12
hope i helped:D