Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are
The volume of the box is equal to
so
simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A
solve for y
Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x
therefore
The original length was 41 inches and the original width was 16 inches
Answer:
2291,94 mph
Step-by-step explanation:
To solve this we need to consider the distance 2.39x10^5 miles as the distance between the center of the earth and the center of the moon, if not we would need to know the radius of the earth and the moon.
If the distance is 2.39x10^5 miles, the orbit is = 2.Pi.(2.39x10^5) miles=1501681.288miles
It takes 27.3 days, that are, 27.3*24= 655.2hours
1501681.288miles/655.2hours= 2291.94 mph
Answer:
21.
Step-by-step explanation:
f(x) = 2x^2 - 3x + 7.
When x = -2,
f(-2) = 2(-2)^2 - 3(-2) + 7
= 2(4) - (-6) + 7
= 8 + 6 + 7
= 21.
By pythagorean theorem
a^2+b^2=c^2
We can find that PL is 12.65
and then by altitude theorem
MA*LA=PA^2
we can find the value of MA
12MA=16
MA=1.33
then by the pythagorean theorem
we can use to find PM
MA^2+PA^2=PM^2
so PM=4.22
then to find the are you multiply length by width
PM*PL
12.65*4.22
So the area is 53.38
Answer:
SRT
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