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Morgarella [4.7K]
3 years ago
15

Dona paints ornaments for a school play. Each ornament is as shown and is made up of two identical cones. She uses one bottle of

paint to paint 206 cmsquared. How many bottles of paint does she need in order to paint 60 ​ornaments? Use 3.14 for pi.
Mathematics
2 answers:
zavuch27 [327]3 years ago
6 0
Pi is 3.14 for sure but where are the questions?
Bad White [126]3 years ago
3 0

Answer:

The answer is 186.1

Step-by-step explanation:

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True or false: the lateral surface of cone a is exactly 1/2 the lateral surface area of cylinder b
Mazyrski [523]

Answer:

True

Step-by-step explanation:

We have that,

The cone A has the length of the lateral side = h and the height of the cylinder  B = h.

Since, the lateral surface areas are given by,

Lateral surface area of cone = \pi r\times l, where l is the length of the lateral side.

So, we get L_{A} = \pi r\times h.

Also, Lateral surface area of cylinder is 2\pi r\times h, where h is the height of the cylinder.

So, we get L_{B} = 2\pi r\times h

Thus, we see that, L_{A}=\frac{1}{2}\times L_{B}

Hence, the given statement is correct.

6 0
3 years ago
Please help, ASAP thank you very much. Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or
Evgen [1.6K]
The answer is a because<span>
12 times 2 plus 16 times 2 is 56.
144 + 256 = 400
400 = Xx2
X = 20 feet.
</span>

3 0
3 years ago
For what values of x is f(x) = |x + 1| differentiable? I'm struggling my butt off for this course
pav-90 [236]

By definition of absolute value, you have

f(x) = |x+1| = \begin{cases}x+1&\text{if }x+1\ge0 \\ -(x+1)&\text{if }x+1

or more simply,

f(x) = \begin{cases}x+1&\text{if }x\ge-1\\-x-1&\text{if }x

On their own, each piece is differentiable over their respective domains, except at the point where they split off.

For <em>x</em> > -1, we have

(<em>x</em> + 1)<em>'</em> = 1

while for <em>x</em> < -1,

(-<em>x</em> - 1)<em>'</em> = -1

More concisely,

f'(x) = \begin{cases}1&\text{if }x>-1\\-1&\text{if }x

Note the strict inequalities in the definition of <em>f '(x)</em>.

In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:

\displaystyle \lim_{x\to-1^-}f'(x) = \lim_{x\to-1}(-1) = -1

\displaystyle \lim_{x\to-1^+}f'(x) = \lim_{x\to-1}1 = 1

All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.

4 0
3 years ago
Write the denominator of the fractiona 7/20 as the product of prime factors
gtnhenbr [62]

Answer:

Step-by-step explanation:

prime factors of 20 = 2 * 2 * 5

\frac{7}{20}=\frac{7}{2*2*5}

5 0
3 years ago
What number should be added to 95 to get a sum of −21?
Natali [406]

Answer: -116

Step-by-step explanation: Since negative numbers are involved, the best way to solve this is add 95 and POSITIVE 21. This gives you 116. Since you move from a positive to a negative, the 116 needs to be negative

8 0
3 years ago
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