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2 years ago

Find x. (Round final answer to the nearest tenth. Show all work.)

Mathematics

1 answer:

nataly862011 [7]2 years ago

3 0

Answer:

Step-by-step explanation:

x is 12

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1. The formula for the volume of a cone is

Andre45 [30]

Answer:

$r=\sqrt{\frac{3V}{\pi\ h}}$

Step-by-step explanation:

The volume of cone is given by:

$V=\frac{1}{3}\pi\ r^2\ h$

where $r$ is the radius of the base and $h$ is the height of the cone.

We need to solve for $r$

we have $V=\frac{1}{3}\ \pi\ r^2\ h$

Multiplying both sides by 3 to remove $\frac{1}{3}$

⇒ $3\times V=3\times \frac{1}{3}\ \pi\ r^2\ h$

⇒ $3V=\pi\ r^2\ h$

dividing both sides by $\pi\ h$

⇒ $\frac{3V}{\pi\ h}=\frac{\pi r^2 h}{\pi\ h}$

⇒ $\frac{3V}{\pi\ h}=r^2$

Taking square root both sides:

⇒ $\sqrt{\frac{3V}{\pi\ h}}=\sqrt{r^2}$

⇒ $\sqrt{\frac{3V}{\pi\ h}}=r$

∴ $r=\sqrt{\frac{3V}{\pi\ h}}$

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2 years ago

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The perimeter of a rectangle must be less than 170170 feet. If the length is known to be 4444 feet, find the range of possible w

katrin [286]

Answer:

$w \in (0,41)$

where w is width of rectangle.

Step-by-step explanation:

We are given the following in the question:

The perimeter of a rectangle must be less than 170 feet.

Length of rectangle = 44 feet

Perimeter of rectangle =

$2\times (\text{Length + Width})$

Let w be the width of rectangle.

According to the question,

$P < 170\\2(44 + w)$

Thus, the width of triangle should be less than 41. Since w cannot take negative values, we can express value of w in interval notation as,

$w \in (0,41)$

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3 years ago

Which number sentence is an example of the identity property of addition?

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Answer:

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2 years ago

What is the perimeter of khgj?

kaheart [24]

Answer:

58 in

Step-by-step explanation:

The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...

P = 2(L +W)

P = 2(18 in + 11 in) = 2(29 in)

P = 58 in

The perimeter of KHGJ is 58 inches.

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2 years ago

Which of the following sample sizes for a large number of samples taken from a population will result in the sample means most c

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