Answer:
27 ft
the maximum height of the arrow is 27 ft
Step-by-step explanation:
Given;
The height of the arrow is given by the function;
h(t) = -16t^2 + 32t + 11
Maximum height is at point when dh(t)/dt = 0.
Differentiating h(t), we have;
dh/dt = -32t + 32 = 0
Solving for t;
-32t = -32
t = -32/-32 = 1
t = 1 (time at maximum height is t = 1)
Substituting t=1 into h(t), to determine the value of maximum height;
h(max)= -16(1^2) + 32(1) + 11
h(max) = 27 ft
the maximum height of the arrow is 27 ft.
a family of functions is a set of functions whose equations have a similar form. the "parent" of the family is the equation in the family with the <u>simplest</u> form.
Answer:
Profit % = 111.1 %
Step-by-step explanation:
Cost of glove = £4
Sales price of glove and skirt = £48
100% profits on the cost of the glove
20% profit on the total cost
Profit on the total cost = 20% = 0.20
Total cost + 0.20 total cost = Sale value
1.20 * total cost = 48
Total cost = 48 / 1.20
Total cost = 40
Cost of the skirt = Total cost - cost of the gloves
Cost of the skirt = 40 - 4
= 36
Price of the skirt = total value - price of the gloves
Total value = £48
100% of £4 = 100/100 * £4
= £4
Profits + cost of glove = $8
Amount remaining = £48 - £8
= £40
Profit percentage on the skirt = price of the skirt / cost of the skirt
= 40 / 36 * 100
= 1.1111 * 100
Profit % = 111.1 %
Answer:
5.86cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the circle
Area of rectangle = Length * Width
Area of rectangle = 3cm * 3cm
Area of rectangle = 9cm²
Area of the circle = πr²
Given radius r = 1cm
Area of the circle = 3.14(1)²
Area of the circle = 3.14cm²
Area of the shaded region = 9 - 3.14
Area of the shaded region = 5.86cm²
