Answer: 32x^1/2y^2
Step-by-step explanation:
Multiply 64 times 1
64xy^4/2
Then divide 64 by 2
32x1/2y^2
Let
x-------> <span>the length of the pond
</span>y-------> the width of the pond
we know that
[volume of the pond]=area of the base*deep
area of the base=volume/deep
volume=72000 in³
deep=24 in
area of the base=72000/24------> 3000 in²
area of the base=x*y
3000=x*y-------> equation 1
x=2y-----> equation 2
substitute equation 2 in equation 1
3000=[2y]*y------> 2y²=3000-----> y²=1500------> y=38.7 in
x=2y----> x=2*38.7----> x=77.4 in
the answer is
the length of the pond is 77.4 in
the width of the pond is 38.7 in
Answer:
A.)lPace the compass needle on M and, keeping the compass width the same, draw two arcs that intersect
Step-by-step explanation:
In the construction of a line perpendicular to AB←→ and passing through an external point M the first step must be"Place the compass needle on M and, keeping the compass width the same, draw two arcs that intersect AB←→". After that you can draw arcs from intersection points (keeping the compass width same as before) to the opposite side of M, name it as N than use straightedge to draw line passes through M and n that would be perpendicular line to AB.
Answer: D
Step-by-step explanation:
The associated z score for filling to 10.98 oz. is -1.16.
<h3>
Z score</h3>
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where x is the raw score, μ is the mean and σ is the standard deviation.
Given that μ = 12.01, σ = 0.89, hence:
For x = 10.98:
z = (10.98 - 12.01)/0.89 = -1.16
The associated z score for filling to 10.98 oz. is -1.16.
Find out more on Z score at: brainly.com/question/25638875
