Values of the 4 of the given digits 305,444

Zepler [3.9K]

Answer:

1131.0 m³

Step-by-step explanation:

Using the formula for the volume of a cylinder, fill in the appropriate values and do the arithmetic.

V = πr²h

Since this formula needs the radius of the cylinder and you are given the diameter, you must divide the diameter by 2 to get the radius:

r = d/2 = (12 m)/2 = 6 m

Then the volume is ...

V = π(6 m)²(10 m) = 360π m³ ≈ 1131.0 m³ . . . . . rounded to tenths

8 0

2 years ago

Confidence Interval Application Many people feel that the drying of pavement marking paint is much too slow. You spend several d

djyliett [7]

Answer:

The sample size is $n =33$

Step-by-step explanation:

From the question we are told that

The margin of error is E = 1.5 seconds

The standard deviation is s = 4 seconds

Given that the confidence level is 97% then the level of significance is mathematically represented as

$\alpha =( 100 -97)\%$

=> $\alpha = 0.03$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.17$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\sigma }{2 } } * \sigma }{E} ]^2$

=> $n =[ \frac{2.17 * 4 }{1.5} ]^2$

=> $n =33$

7 0

2 years ago

Exact value of cos45

Anit [1.1K]

It's a value you should probably memorize:

$\cos45^\circ=\dfrac{\sqrt2}2=\dfrac1{\sqrt2}$

You can derive it using some trigonometric identities, other known values of cosine, and properties of the cosine function. For example, using the double angle identity for cosine:

$\cos^2x=\dfrac{1+\cos2x}2$

If $x=45^\circ$ , then

$\cos^245^\circ=\dfrac{1+\cos90^\circ}2$

and you probably know that $\cos90^\circ=0$ , so

$\cos^245^\circ=\dfrac12$

When we take the square root, we should take the positive root because $\cos x>0$ whenever $0^\circ$ :

$\cos45^\circ=+\sqrt{\dfrac12}\implies\cos45^\circ=\dfrac1{\sqrt2}$

4 0

2 years ago

You're concerned that your neighbor's backyard flagpole may fall over in heavy winds (it looked really wobbly during the last th

Alisiya [41]

Answer:

Yes you can have some peace of mind, because your house is safe. Since, the flagpole is only 14.85 feet, is shorter than the 18 feet of distance from its base to your home.

Step-by-step explanation:

What you need to do is to estimate the height of the pole using its shadow, and the relationship between the height of the fence and it respective shadow:

For a rectangle triangle, the proportion of its shorter sides are constant.

The shadows of the fence and of the pole, both form two rectangle triangle.
The first triangle, the smaller one, has a base of 7 feet (the shadow of the fence), and a height of 4 feet (the corresponding height of the fence)

The second one, a bigger one, has a base of 26 feet (the shadow of the flagpole), and an unknown height (the height of the pole that its worrying you).
Then, as stated, the proportion for both triangles remains constant. So: $\frac{4feet}{7feet}=\frac{x}{26feet}$ , where x is the height of the pole.
x is solved as: $x=\frac{4feet*26feet}{7feet}=14.85feet$ . Meaning that the flagpole has 14.85 feet of height.
Then when the height is compared to the distance from its base to your home, it is found that the pole is shorter then, there is no risk of the pole falling into your house.

8 0

2 years ago

Lowest term fraction 4/12 9/15 2/4 5/6

-Dominant- [34]

4/12=1/3
9/25=3/5
2/4=1/2
5/6=5/6
hope that helped

7 0

3 years ago

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