Answer:
PR is an altitude
QT is a median.
Step-by-step explanation:
The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.
First find the area of the rectangle, then remove the circular area.
AB * AJ = 8 * 18 = 144 sq cm
Circle =
=
=3.14 * 16
=50.24 sq cm
144 - 50.24 = 93.76 sq cm shaded area.
Answer:
$3600
Step-by-step explanation:
In each case, the repair cost exceeded the deductible, so your out-of-pocket cost for 2 repairs is ...
2 × $1050 = $2100
In addition, you had to pay the premium of $750 per 6-month period, or $1500 per year, so your total was ...
$2100 +1500 = $3600 . . . out-of-pocket total
<span>x + 9 = 2(x - 1)^2
x + 9 = 2(x^2 - 2x + 1)
x + 9 = 2x^2 - 4x + 2
</span>2x^2 - 4x + 2 - x - 9 = 0
2x^2 - 5x -7 =0
Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
<em>Expand:</em>
45= W² +4W
<em>-45 on both sides:</em>
W² +4W -45= 0
<em>Factorise:</em>
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
