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3 years ago

Determine whether a triangle can be formed with the given side lengths. 11 ft, 2 ft, 15 ft

Mathematics

2 answers:

dimulka [17.4K]3 years ago

6 0

No it can not be formed because the sum of the two smaller side lengths is not greater than the longest length

larisa86 [58]3 years ago

4 0

No, The one side would be longer than the other.

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What is the order from least to greatest for these numbers 11/17, 1 3/5, 0.3, 1.6, 19/10

siniylev [52]

0.3, 11/17, 1 3/5, 1.6, 19/10

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maria [59]

The correct answer is b

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2 years ago

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What is the average rate of change of the function over the interval x = 0 to x = 6?

Ymorist [56]

Answer:

15 2/3, or 47/3

Step-by-step explanation:

I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5. Double check on this right now, please.

If I'm right, then evaluate f(x) at x = 0 and x = 8:

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and

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Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:

130 1/3 - 5 125 1/3

a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3

8 - 0 8

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2 years ago

As you can see, I already answered part A. That part is easy, like kindergarten level. But I don't remember learning how to do p

drek231 [11]

Answer:

Length: 10 units.

Width:6 units

Step-by-step explanation:

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2 years ago

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A closed can, in a shape of a circular, is to contain 500cm^3 of liquid when full. The cylinder, radius r cm and height h cm, is

Gemiola [76]

To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder: $V= \pi r^2h$
where
$V$ is the volume
$r$ is the radius
$h$ is the height

We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words: $V=500cm^3$ . We also know that the radius is r cm and height is h cm, so $r=rcm$ and $h=hcm$ . Lets replace the values in our formula:
$V= \pi r^2h$
$500cm^3= \pi (rcm^2)(hcm)$
$500cm^3=h \pi r^2cm^3$
$h= \frac{500cm^3}{ \pi r^2cm^3}$
$h= \frac{500}{ \pi r^2}$

Next, we are going to use the formula for the area of a cylinder: $A=2 \pi rh+2 \pi r^2$
where
$A$ is the area
$r$ is the radius
$h$ is the height

We know from our previous calculation that $h= \frac{500}{ \pi r^2}$ , so lets replace that value in our area formula:
$A=2 \pi rh+2 \pi r^2$
$A=2 \pi r(\frac{500}{ \pi r^2})+2 \pi r^2$
$A= \frac{1000}{r} +2 \pi r^2$
By the commutative property of addition, we can conclude that:
$A=2 \pi r^2+\frac{1000}{r}$

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3 years ago