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2 years ago

A can of hairspray has a

Mathematics

1 answer:

lara [203]2 years ago

7 0

Answer:

2inches=5.08cm

TSA of cylinder=2πr(r+h)

2×22/7×5.08(5.08+5.08)

6×5.08×10.16

324.42cm^3

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For the problem below, θ is a central angle in a circle of a radius r. Find the length of arc s cut off by θ.

mixas84 [53]

Answer:

Here, we will use the formula from trigonometry which defines a radian

we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed

hence, if the radius is r and the arc is r, the angle (in radians) will be 1

if the radius is r and the arc is 2r, the angle in radians will be equal to:

length of arc / radius = 2r/r = 2 radians

I believe this will explain what is actually happening in these type of questions

So, the equation:

Θ(in radians) = s / r (where the length of arc is s and the radius is r)

π/4 = s / 12

s = 3π or 9.42 inches

4 0

3 years ago

An excavating company charges $300 an hour for the use of a backhoe and $500 an hour for the use of a bulldozer. (part of an hou

Fed [463]

We have that

Cost use of a backhoe----------------------$300 an hour

Estimate for equipment rental each week---------------------$18,400

Total hours operator per week--------------------------------------40

40*300=$12000---------------------it is the cost per week to use a backhoe

$12000<$18400 is ok

The maximum of hours that I can rent a backhoe are 40 hours, since it is the limit of the operator and it do not overcome the total budget

4 0

3 years ago

Through: (4, -3), perp. to y=-2x + 1

larisa86 [58]

Step-by-step explanation:

y = -2x + 1. => Slope = -2

Then the perpendicular line will have a slope of -1/(-2) = 0.5.

We have y = 0.5x + c.

When x = 4, y = -3.

=> (-3) = 0.5(4) + c, c = -5.

Hence the answer is y = 0.5x - 5. (C)

7 0

3 years ago

What is 7 plus the sum of m and -17

olasank [31]

Answer:

m - 10

Step-by-step explanation:

7 plus = 7 +

The sum of m and -17 = m + (-17)

7 + (m + -17)

We can get rid of the parentheses

7 + m + -17

Combine like terms

7 + -17 = -10

m + -10

Get rid of the addition sign

m - 10

6 0

3 years ago

A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe

DedPeter [7]

Answer:

The cost of a ribeye steak dinner is $18.60.

The cost of a grilled salmon dinner is $9.03.

Step-by-step explanation:

let r be the cost of a ribeye steak dinner

let g be the cost of a grilled salmon dinner

Represent the two situations using equations:

12r + 39g = 575.53 (equation 1)

25r + 13g = 582.43 (equation 2)

The best method to use for this case is elimination, which is when you get rid of one of the variables by subtracting or adding.

Since the coefficients for "g" are 39 and 13, they can be eliminated if equation 2 was triple itself.

(25r + 13g = 582.43) X 3

= 75r + 39g = 1747.29 (new equation 2)

Subtract "equation 1" from "new equation 2"

. 75r + 39g = 1747.29

- 12r + 39g = 575.53

. 63r + 0g = 1171.76 <=we only deal with "r" because 0g is nothing

. 63r = 1171.76 <=divide both sides by 63 to isolate r

. r = 18.60 <=rounded from 18.599...

The cost of a ribeye steak dinner is $18.60.

Use any one of the equations to solve for "g", the cost of grilled salmon dinners. I will use equation 1.

12r + 39g = 575.53

Substitute r = 18.6

12(18.6) + 39g = 575.53 <=only one variable now

223.2 + 39g = 575.53 <=subtract 223.2 from both sides

39g = 352.33 <=divide both sides by 39 to isolate g

g = 9.03 <=rounded from 9.0341...

The cost of a grilled salmon dinner is $9.03.

4 0

3 years ago