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
Given :
A circle is inscribed in a square with a side length of 144.
So, radius of circle, r = 144/2 = 72 units.
To Find :
The probability that the point is inside the circle.
Solution :
Area of circle,
Area of square,
Now, probability is given by :
Therefore, the probability that the point is inside the circle is 0.785 .
Answer:
4
Step-by-step explanation:
can also be written as . Evaluating this gives = =
Answer:
No Solution
Step-by-step explanation:
8x+2y=13 4x+y=11 Subtract 4x on both sides to isolate y
y=-4x+11 <---- Substitute this equation into the
equation 8x+2y=13
8x+2(-4x+11)=13
8x-8x+22=13
22=13 (not true)
No Solution
First subtract 3 from both sides of the equal sign.
9s + 3 = 57
- 3 -3
9s = 54
Then divide both sides by 9.
9s = 54
/9 /9
s = 6
You can check it by plugging it back into the equation.
9s + 3 = 57
9 * 6 + 3= 57
54 + 3 = 37
57 = 57
Yep! It's correct! :)
Hope that helped. Algebra can be tricky sometimes I know but it's really just balancing equations.