Answer:
Diagonal of a rectangular frame = 85 inch
Step-by-step explanation:
Given:
Length of rectangle = 77 inch
Width of rectangle = 36 inch
Find:
Diagonal of a rectangular frame
Computation:
Diagonal of a rectangle = √l² + b²
Diagonal of a rectangular frame = √77² + 36²
Diagonal of a rectangular frame = √5,929 + 1,296
Diagonal of a rectangular frame = √7,225
Diagonal of a rectangular frame = 85 inch
<span>Assuming the graph is y=-3(√2x)-4 and y=-3√(x-4) the transformation would be:
</span><span>The graph is compressed horizontally by a factor of 2
x=1/2x'
</span>y=-3(√2x)-4
y=-3(√x')-4 <span>
</span><span>moved left 4
x=x'-4
</span>y=-3(√x)-4
y=-3(√x'-4)-4
<span>
moved down 4
y=y'-4
</span>y=-3(√x-4)-4
y'-4=-3(√x'-4)-4
y'=-3(√x'-4)-4 +4
y'=-3(√x'-4)
Answer: C. <span>The graph is compressed horizontally by a factor of 2, moved left 4, and moved down 4.
</span>
Step-by-step explanation:
we know ,
area of circle =πr^2
hence we get from the figure that the diameter of circle is 19 cm and we can find radius
r=d/2
r=18/2=9cm
area of semicircle =πr^2/2
area of Semi circle equals to =22*(9)^2/7/2
=127.2857143
We can assume that the shape is a rectangular prism by the given dimensions
Volume of a rectangular prism
Volume = Area of Base × Height of prism
= Length × Width × Height of prism
Substitute!
168 = L × 7 × 3
168 = L × 21
Divide 21 on either sides to isolate L

=

21 and 21 cancels out
8 = L
L = 8 yd
Answer:
B
Step-by-step explanation:

subtract 6 from both sides

divide by 2/3(or multiply by 3/2)

and thats your answer