for the triangle...
b=2h
a=(1\2).bh=648
(1/2).2h.h=648
h2=648
h-18|2 in
h=36|2 in
for the rectangle...
L=3+w
a=l+w=648
{3+w}w=648
w2+3w-648=0
Only positive W values make sense here..
w-24=0
w=24 in
So..
L=3+24
Answer: The total number of student in the school = 240.
Step-by-step explanation:
Let x be the total number of students in the school.
Given: 35% of the students at Charles drew middle school are 6th graders.
i.e. Number of sixth graders = 35% of x = 0.35x [35% = 0.35]
Since there are 84 sixth graders in the school,
So 
Divide both sides by 0.35, we get

Hence, the total number of student in the school = 240.
Answer:
20 ft long; 12 ft wide
Step-by-step explanation:
Let w = the width of the garden
Then l = w + 8
A = lw
A = (w + 8)w
=====
The sidewalk is 4 ft wide, so, for the big rectangle consisting of garden plus sidewalk:
Width = w +8
Length = w + 16
Area = (w + 8)(w + 16)
=====
The <em>difference</em> between the two areas is the area of the sidewalk (320 ft²).
(w + 8)(w + 16) - (w + 8)w = 320 Factor out w + 8
(w+ 8)(w + 16 – w) = 320 Combine like terms
(w+ 8) × 16 = 320 Divide each side by 16
w + 8 = 20 Subtract 8 from each side
w = 12 ft
l = 12 + 8
l = 20 ft
The garden is 20 ft long by 12 ft wide.
Answer:
Herman needs to buy 3 sticker packs to have a total of 100 stickers.
Explanation:
33 x 3 = 99
99 + 1 = 100
G(x) = 6x
<span>g(f(x)) </span>
<span>= 6((x^2) - 5) </span>
<span>= (6x^2) - 30
</span>
so its equal to
<span>(6x^2) - 30</span>