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Rasek [7]
3 years ago
12

Shelby buys a balance beam priced at $735.40.If the sales tax is

Mathematics
2 answers:
amm18123 years ago
5 0

Answer:

the sales tax is $73.54

Step-by-step explanation:

VladimirAG [237]3 years ago
3 0
$735.40(.10)=$73.54 in tax
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A circular cylindrical container, open at the top, and having a capacity of 24pi cubic inches, is to be manufactured. If the cos
otez555 [7]

Answer: radius r = 2 inches

height h = 6 inches

Step-by-step explanation:

Given;

Volume V = 24πin3

Volume of a cylinder is given by

V = πr^2h

h = V/πr^2. ....1

Where, h = height and r = radius of cylinder

For the surface area of the cylinder with open top. we have,

S = 2πrh + πr^2

For the cost of materials used, let k represent the cost of materials used for the body of the cylinder.

Then, for the bottom will be 3k

Total cost will be represented by C, which gives

C = 2πrhk + 3πr^2k. .....2

Substituting eqn 1 to 2, we have;

C = 2πrVk/πr^2 + 3πr^2k

C = 2Vk/r + 3πr^2k

The material cost is minimum at dC/dr = 0

dC/dr = -2Vk/r^2 + 6πrk =0

6πrk = 2Vk/r^2

r^3 = 2V/6π

r = (2×24π/6π)^-3

r = (8)^-3

r = 2

Substituting r = 2 into eqn1

h = 24π/π(2^2)

h = 24/4 = 6

h = 6

5 0
3 years ago
Carlotta asks 30 campers which outdoor activity they enjoy. Of these campers, 13 enjoyed swimming, 17 enjoy baseball, and 8 enjo
IgorC [24]
17+13=30-8=22
I did 17 plus 13 which equals 30, then I took 30 and subtracted 8 which equals 22!!!
8 0
3 years ago
Read 2 more answers
a cone with a radius 3 units is shown below. it’s volume is 57 cubic units. find the height of the cone
ipn [44]

<u>Given</u>:

Given that the radius of the cone is 3 units.

The volume of the cone is 57 cubic units.

We need to determine the height of the cone.

<u>Height of the cone:</u>

The height of the cone can be determined using the formula,

V=\frac{1}{3} \pi r^2 h

Substituting the values, r = 3 and V = 57, we get;

57=\frac{1}{3} (3.14) (3)^2 h

Simplifying the terms, we get;

57=\frac{1}{3} (3.14) (9) h

Multiplying both sides of the equation by 3, we get;

171= (3.14) (9) h

171=28.26 h

Dividing both sides of the equation by 28.26, we get;

6.05=h

Thus, the height of the cone is 6.05 units.

8 0
3 years ago
Plot a point at the y-intercept of the following function on the provided graph.<br> 3y = -5* + 7
Lorico [155]
The answer is y= 2/3 or y= -35/3
Hope this helps!
4 0
2 years ago
Use picture attached:
Olenka [21]
I think the answer is C.
3 0
3 years ago
Read 2 more answers
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