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docker41 [41]
3 years ago
13

What is the combined area of the two bases of the following cylinder

Mathematics
1 answer:
Sauron [17]3 years ago
4 0
D. 226.08cm^2

Since we are finding the combined area of the two bases of the cylinder, we are adding the area of the first base with the second base. The formula for the base of a cylinder is pi x r^2, since it is a circle. Since the bases are the same, we can rewrite this as 2pi x r^2.

Since the diameter is 12cm and r = 1/2 diameter, r = 6cm.

Thus, A = 2(3.1415)(6)^2 = 226.08cm^2
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Laura is graphing an absolute-value function in the form
Ilya [14]

Answer:

The equation of the function is;

y = |x-3| -3

Step-by-step explanation:

Here, we want to give the absolute-value function

For the minimum value to be -3, it means that k is negative

since the domain is the set of all real numbers, then we do not have any undefined value for the range y

So, the equation is ;

y = |x-3| - 3

7 0
3 years ago
Which expression is equivalent to 2 to the power of 4 times 2 to the power of negative 7?
deff fn [24]

Answer:

2^{-3}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)}, thus

2^{4} × 2^{-7} = 2^{(4-7)} = 2^{-3}

3 0
4 years ago
Daniel has $100. After he buys 4 pencils and 3 pens, he has $7 left. If each pencil costs $3 more than each pen, is $25 enough t
amm1812

Answer:  Yes, Daniel has enough money to buy 2 pens.

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

Explanation:

x = cost of one pencil

y = cost of one pen

4x = cost of 4 pencils

3y = cost of 3 pens

4x+3y = cost of 4 pencils and 3 pens

100 - (4x+3y) = amount Daniel has left = 7 dollars

100-(4x+3y) = 7 is one equation we can form

Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".

Let's plug that into the first equation and solve for y.

100-(4x+3y) = 7

100-(4(y+3)+3y) = 7

100 - (4y+12+3y) = 7

100 - (7y+12) = 7

100 - 7y - 12 = 7

-7y + 88 = 7

-7y = 7-88

-7y = -81

y = -81/(-7)

y = 11.57 is the cost of one pen

2y = 2*11.57 = 23.14 is the cost of two pens.

Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.

5 0
2 years ago
Solve for w.<br> -2 = w + 7
DerKrebs [107]

Answer:

-9

Step-by-step explanation:

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6 0
3 years ago
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charle [14.2K]
Na I don't wanna do this one

7 0
3 years ago
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