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Vinil7 [7]
2 years ago
6

Find all polar coordinates of point P = (6, 31°).

Mathematics
1 answer:
wel2 years ago
6 0

as far as I can tell, is just a matter of going around the circle many or infinite times around.

so 6,31° is the first point, the next point will be one-go-around, 6, 31+360 => 6, 391°

then the next will be 6, 391+360 => 6, 751° and so on.

so we can say is (6, 31° ±360°n), n ∈ ℤ.

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Hikers came across a part of a redwood stump. If the length of the chord is 8 feet, what was the diameter of the tree?
erastova [34]
So in the problem, the length of the chord there is the circumference of the tree. So in order to get the diameter of the tree, we must use the formula in getting the circumference of a circle that is stated as follows. 

C = 2pi *Radius

so first we need the get the radius of the tree which represent by this formula:

Radius = C /2pi = 8/6.2832 = 1.2732 ft 
Diameter = 2*radius = 2 * 1.27 32 = 2.5465 feet 

In summary, the diameter of the tree is 2.565 feet. 


7 0
1 year ago
What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.
slega [8]

Answer:

The approximate length of arc s is 14.1 inches

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the circumference of the circle

The formula to calculate the circumference is equal to

C=2\pi r

we have

r=6\ in\\\pi=3.14

substitute

C=2(3.14)(6)\\C=37.68\ in

step 2

Find the approximate length of arc s

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find the arc length s for a central angle of 135 degrees

\frac{37.68}{360}=\frac{x}{135}\\\\x=37.68(135)/360\\\\x= 14.1\ in

4 0
1 year ago
Read 2 more answers
A random sample of 64 students at a university showed an average age of 25 years and a sample standard deviation of 2 years. The
satela [25.4K]

Answer:

The correct option is;

d. 24.2 to 25.6

Step-by-step explanation:

Here we have a sample with unknown population standard deviation, we therefore apply the student t distribution at 64 - 1 degrees of freedom

Therefore, we have

CI=\bar{x}\pm t\frac{s}{\sqrt{n}}

Where:

\bar x = Mean = 25

σ = Standard deviation = 2

n = Sample size = 64

t = T value at 98% = \pm 2.387

Which gives

CI=25\pm t_{63}\frac{2}{\sqrt{64}}

That is the value is from

24.40325 to 25.59675 which gives,by rounding to one decimal place, is

24.4 to 25.6.

6 0
1 year ago
Which function could be shown in the graph below
defon

Answer:

quintic function

Step-by-step explanation:

3 0
1 year ago
A 5-ounce container of Greek yogurt contains 140 calories. Find the unit rate of calories per ounce
MA_775_DIABLO [31]

Answer:28

Step-by-step explanation:5x28=140

4 0
1 year ago
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