Answer:
she spent $14
Step-by-step explanation:
1/4=0.25
0.25 x 56= 14
<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:
x= 70 y= 70
Step-by-step explanation:
Answer:
2/3 ( 3x - 4 ) + 3x = 5/6
2x - 8/3 + 3x = 5/6
5x - 8/3 = 5/6
6(5x -8/3) = 6x5/6
30x - 16 = 5
<u> +16 +16</u>
<u>30x = 21</u>
30
x = 21/30
x = 0.7
Step-by-step explanation:
- distribute the bracket by 2/3
- combine like-terms
- multiply both sides by 6 (lcm of 3 and 6)
- add 16 to both sides
- divide both sides by 30 to get x
Answer: about 73 %
Step-by-step explanation:
because 88 of 120 is about 73 %
