The surface area of a cylinder is:
A=2pr^2+2prh and since r=d/2
A=2p(d^2/4+dh/2)
A=(p/2)(d^2+2dh) and we need 200 of these cylinders...
A=(100p)(d^2+2dh), and using d and h, 3.5cm and 70cm we get:
A=(100p)(3.5^2+2*3.5*7)
A=(100p)(12.25+49)
A=6125p cm^2
A≈19242 cm^2 (to nearest cm^2)
Answer:
A. 16.55
Step-by-step explanation:
What we know is the angle of 38° and the hypotenuse is 21. Before we find x (side b), we have to find side a first. TO find that multiply the sine of 38 by 21.
21 * sin(38)
<em>sin(38) calculates to 0.615661475.</em>
21 * 0.615661475
<em>Multiply 21 by 0.615661475</em>
side a = 12.928890975
Now to find x. Use this to find x: √21² - 12.928890975²
√21² - 12.928890975²
<em>Square both numbers</em>
√441 - 167.156221843
<em>Subtract 167.156221843 from 441</em>
√273.843778157
<em>Find the square root of 273.843778157</em>
x ≈ 16.548225831
x ≈ 16.55, so the answer is A.
Answer:
Width = 15 feet
Length = 45 feet
Step-by-step explanation:
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Perimeter of a rectangle = 2L + 2W
The length is 3 times the width.
L = Length = 3W
W = Width
P = 120 ft
Hence:
120 = 2L + 2W
120 = 2(3W) + 2W
120 = 6W + 2W
120 = 8W
W = 120/8
W = 15 feet
Solving for Length
L = 3W
L = 3 × 15 feet
L = 45 feet
Therefore, the dimensions of your very own dog park is
Width = 15 feet
Length = 45 feet
Answer:
Step-by-step explanation:
The minimum value of sinx is -1 when x = 3π/2, 7π/2, ...
In [2π, 4π), x = 7π/2
