B 54 yd i might not be correct
Answer:
Eric can either charge $10 or $40 in order to break even.
Step-by-step explanation:
Eric has a summer lawn mowing business and the equation:
Models his total profit <em>p</em> by charging <em>x</em> dollars per lawn.
We want to determine what price Eric needs to charge in order to break even.
The price Eric charges to break even means that his total profit will be zero. Hence, we can let <em>p</em> = 0 and solve for <em>x</em>. Thu:
We can divide both sides by -3:
Factor:
Zero Product Property:
Solve for each case. Hence:
Therefore, Eric can either charge $10 or $40 in order to break even.
<em>Question:</em>
The area of the kite is 48 cm². What are the lengths of the diagonals PR and QS?
________
<em>Solution:</em>
You can split the kite into two isosceles triangles: PSR and PQR.
Assume that both diagonals intersect each other at the point O.
• Area of the triangle PSR:
m(PR) · m(OS)
A₁ = ————————
2
(x + x) · x
A₁ = ——————
2
2x · x
A₁ = ————
2
A₁ = x² (i)
• Area of the triangle PQR:
m(PR) · m(PQ)
A₂ = ————————
2
(x + x) · 2x
A₂ = ——————
2
2x · 2x
A₂ = ————
2
4x²
A₂ = ———
2
A₂ = 2x² (ii)
So the total area of the kite is
A = A₁ + A₂ = 48
Then,
x² + 2x² = 48
3x² = 48
48
x² = ———
3
x² = 16
x = √16
x = 4 cm
• Length of the diagonal PR:
m(PR) = x + x
m(PR) = 2x
m(PR) = 2 · 4
m(PR) = 8 cm
<span>• </span>Length of the diagonal SQ:
m(SQ) = x + 2x
m(SQ) = 3x
m(SQ) = 3 · 4
m(SQ) = 12 cm
I hope this helps. =)
Tags: <em>polygon area triangle plane geometry</em>
Answer:
What's a Solution to a System of Linear Equations? Note: If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time.
Step-by-step explanation:
Answer:
1056 = 11 x 3.2 x 3
Step-by-step explanation:
Find hyptoenuse
