MATHEMATICS HIGH SCHOOL

If a cylinder’s radius and height are each shrunk down to a third of the original size, what would be the formula to find the modified surface area?

Answers

Answer 1

Answer:

We let

r1 = the original radius of the cylinder

r2 = the new radius of the cylinder

h1 = the original height of the cylinder

h2 = the new height of the cylinder

SA = surface are of the cylinder

the radius and the height are shrunk down to a third of their value therefore

r2 = r1/3

h2 = h1/3

SA = 2(PI)r^2 + 2(PI)rh

SA = 2(PI)[(r1^2)/9] +2(PI)(r1/3)(h1/3)

Simplifying

SA = [2(PI)r]/9 * (r1 + h1)

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10x -2y = 10 in slope intercept form

Answers

slope-intercept form: y = mx + b
the point is to get y alone on one side of the equation:

10x - 2y = 10
-10x -10x
-2y = -10x + 10
-2y/-2 = -10x/-2 + 10/-2
y = 5x - 5

Which of the following does not represent a function?graph of a negative parabola oriented about the y axis with y intercept at positive 6

graph of an absolute value function oriented about the y axis

graph of an ellipse with x intercepts negative 8 and positive 8

graph of a line with a positive slope and y intercept of negative 6

Answers

funcion must pass the vertical line test
basically we see if any 1 x value produces 2 y values

we imidiately see the elipse and know that that is the answer

answer is elips is not funciton

Doors for the small cabinets or 19.5 inches long. Doors for the large cabinets are 3.9 times as long as the doors for the small candidates. How many large doors can be cut from a board that is 11 feet long.

Answers

Answer: 1 large door.

Step-by-step explanation:

You know that the lenght of each door for the small cabinets is:

$lenght_((small))=19.5\ in$

Since the lenght of the doors for the large cabinets are 3.9 times as long as the doors for the small candidates, the lenght of any of these doors is:

$lenght_((large))=3.9(19.5\ in)=76.05\ in$

The lenght of the board is 11 feet, so you need to convert it to inches:

$(11\ ft)((12\ in)/(1\ ft))=132\ in$

Then, the number of large doors that can be cut from that board is:

$(132\ in)/(76.05\ in)=1.73$

So, 1 large door can be cut from that board.

Which of these is an example of discrete data?A)Temperature
B) Pages in a Book
C)Area of a room
D)Distance

Help ASAP! ): <3

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do you still need help

Write a following relationship as a ratio using a colon. 2 students out of 10

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We use ratios to make comparisons between two things. When we express ratios in words, we use the word "to"--we say "the ratio of something to something else." Ratios can be written in several different ways: as a fraction, using the word "to", or with a colon.

Let's use this illustration of shapes to learn more about ratios. How can we write the ratio of squares to circles, or 3 to 6? The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

You have no more than $65 to spend after paying your bills. You want a drink that costs$2.25 including tax, and you want to buy a pair of shoes, which will have 7% sales tax.
What is the inequality that represents the amount of money you have to spend?

a. x + 0.07x + 2.25 > 65
b. x + 0.07x + 2.25 ≤ 65
c. x + 0.07x + 2.25 < 65
d. x + 0.07x + 2.25 ≥ 65

Answers

Answer: B

Step-by-step explanation: You have no more than $65 which means you will want to spend equal to or less. Since you have $65, you will be able to spend up to that amount but you will not be able to spend any more than that. So, you will need to make sure the final price remains under or equal to your amount.

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Solve the equation. q – 29 = –57 (1 point) –28 28 86 –86

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