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saul85 [17]
2 years ago
11

What is the height if the cylinder?

Mathematics
1 answer:
Galina-37 [17]2 years ago
4 0

Answer:

13 mm

Step-by-step explanation:

we use the cylinder surface area formula to find the height.

SA = 2πrh + 2πr²    we adjust the formula for h

SA - 2πr² / 2πr = h   Now we can plug in the numbers

(715.92 - 2 * 3.14 * 6²) / 2 * 3.14 * 6

h = 13 mm

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If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?​
Ira Lisetskai [31]
<h3>Answer:  10 elements</h3>

=======================================================

Explanation:

Let's use an example to see why this is

A = {1,2,3,4,5,6,7}

B = {x,y,z}

A U B = {1,2,3,4,5,6,7, x,y,z}

We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).

There are 7 items in set A, and 3 items in set B.

Therefore, we have 7+3 = <u>10 items in set A U B</u>

The symbol U refers to the set union operator.

If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.

The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.

-----------------

If you want a formula to write down on a notecard or reference sheet, then it would be

n(A U B) = n(A)+n(B)

where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region

4 0
2 years ago
The value of a new car decreases by 10% in the first year. How much will a car be worth after one year if it’s initial value was
yan [13]

Answer:

$36000

Step-by-step explanation:

$40 000(0.10) = $4000

$40000 - $4000 = $36000

5 0
2 years ago
PLEASE HELP ME<br> WILL MARK BRAINLIEST
Leona [35]

to find the mode of the data set it's the number that occurs the most so 8 is the answer

3 0
2 years ago
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Find the surface area of the composite solid and round to the nearest tenth. Explain your answer.
Orlov [11]
Well, notice the composite is really just 4 triangles atop sitting on top of 4 rectangles, and all of them area stacked up at the edges.

so, for the rectangle's sides,

front and back are two 6x3 rectangles

left and right are two 6x3 rectangles

the bottom part is a 6x6 rectangle

now, we don't include the 6x6 rectangle that's touching the triangles, because that's inside area, and is not SURFACE area, so we nevermind that one.

now, the triangles are just four triangles with a base of 6, and a height of 4, in red noted there.

so, just get the area of all those rectangles and the triangles, sum them up and that's the surface area of the composite,

\bf \stackrel{lateral~rectangles}{4(6\cdot 3)}~~+~~\stackrel{bottom~rectangle}{(6\cdot 6)}~~+~~\stackrel{triangles}{4\left( \cfrac{1}{2}(6)(4) \right)}
7 0
2 years ago
Y+2=3(x-6) converted to slope-intercept form
Aliun [14]
Y+2=3(x-6)
Y=5.33
7 0
3 years ago
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