Answer:
66.67 %
Step-by-step explanation:
The surface area of a cake (cylinder) = 2πr² + 2πrh
but since we are not including bottom for chocolate cake so the formula changes to = 2ℎ+²
<h3>
S.A of cake </h3>
πr² + 2πrh
π4² + 2π(4)(4)
16π + 32π
48π inches
<h3>
S.A of chocolate</h3>
2ℎ+²(top)
24(2) + (4)²
16 + 16
32 inches
Percentage of cake that is chocolate = S.A of chocolate/S.A of cake * 100%
Percentage of cake that is chocolate = 32 inches/48π inches * 100%
Percentage of cake that is chocolate = 66.67%
(Assuming that top of chocolate is included)
Answer:
(a) 
(b)300 Hours
(c)150 Hours
(d)Reduced and halved.
(e) 
Step-by-step explanation:
(a) The number of hours worked is inversely proportional to the wage.
This is written as:
(b)If the student earns $8 an hour
w=$8
(c)When the wage per hour =$16
When w=$16
The number of hours reduced and is in fact halved.
(d)
The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.
(e)The wage per hour is inversely proportional to the number of hours.
In fact,
Micheal has 40ft of fencing for the rectangular dog run. So the perimeter of the dog run is 40ft.
Perimeter=40ft
The perimeter of a rectangle is:
P=2l+2w
Since we know the length is 5 and the perimeter is 40, we can solve for the width.
P=2l+2w
40=2*(5)+2w
40=10+2w
subtract 10 from both sides
30=2w
divide both sides by 2
15=w
The width of the fence is 15feet.
Answer:
x = 25, y = 9
Step-by-step explanation:
Since the triangles are congruent then corresponding angles and sides are congruent, thus
∠ O = ∠ P , substitute values
6y - 14 = 40 ( add 14 to both sides )
6y = 54 ( divide both sides by 6 )
y = 9
and
NG = IT , that is
x - 2y = 7 ( substitute y = 9 into the equation )
x - 2(9) = 7
x - 18 = 7 ( add 18 to both sides )
x = 25
X=12
0.75x + 5=14
Take away 5 on both sides
So 0.75x +5-5=14-5
0.75x=9
0.75x divided by 9 = 12
