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3 years ago

If it rains, then the game will be canceled Hypothesis: Conclusion:

Mathematics

1 answer:

yarga [219]3 years ago

6 0

<h3>Answers:</h3>

Hypothesis = It rains

Conclusion = The game is canceled

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

Explanation:

The general format for a conditional is "If P, then Q".

P is the hypothesis and Q is the conclusion. They are placeholders.

In this case

P = It rains
Q = The game is canceled

Some textbooks will write $P \to Q$ to indicate "if P, then Q"

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From the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8

Elena L [17]

Answer:

619.13 feet

Step-by-step explanation:

Please find the attachment.

Let x represent the distance between doghouse to the foot of the tower.

We have been given that from the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8'. We are asked to find the distance between doghouse to the foot of the tower.

First of all, we will convert our given angle into degrees as it is given in degrees and minutes.

We will divide 8 by 60 to convert 8 minutes into degrees as:

$\frac{8}{60}=0.13333$

The doghouse, tower and angle of depression forms a right triangle with respect to ground, where, 331 feet is opposite side and x is adjacent side to angle 28.13 degrees.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(28.13^{\circ})=\frac{331}{x}$

$x=\frac{331}{\text{tan}(28.13^{\circ})}$

$x=\frac{331}{0.534623339864}$

$x=619.12747783$

Upon rounding to nearest hundredth, we will get:

$x\approx 619.13$

Therefore, the doghouse is 619.13 feet far from the foot of the tower.

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3 years ago

How do you find a volume of a cone?

Dennis_Churaev [7]

Answer:

V = (1/3)πr²h

Step-by-step explanation:

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

Cylinder Volume = πr²h

Cone Volume = (1/3)πr²h

where r is the radius (of the base), and h is the height perpendicular to the circular base.

_____

Comment on area and volume in general

You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...

V = Bh . . . . . for an object with congruent parallel "bases"

V = (1/3)Bh . . . . . for a pointed object with base area B.

This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)

Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)

* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.

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Answer:g=2

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Step-by-step explanation:

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