Determine the exact and approximate circumference of the circle.

Mathematics

1 answer:

madam [21]3 years ago

3 0

Answer:

C (circumference) =2×π×r

we've got a 30-60-90 triangle

which means 9=d√3, d=5.19 exact inches

or ≈5.20 inches

d=2r, r=5.20÷2≈2.60 inches

C=2×3.14×2.60≈16.328

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iren2701 [21]

Answer:

the answer is 10/47 or about 21.2%

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3 years ago

Sharon wants to make a graph to show the realationship between the number of tickets sold and the price of tickets sold

Anna35 [415]

Given:
Let x be the number of tickets sold
Let y be the price of tickets sold

(0,0)(1,20)(2,40)(3,60)(4,80)

These points show that 1 ticket costs 20.

y = 20x

y = 20(0) = 0
y = 20(1) = 20
y = 20(2) = 40
y = 20(3) = 60
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The price of tickets sold is in direct variation to the number of tickets sold. This means that the increase in the number of tickets sold will correspond to an increase in the price of tickets sold at a constant rate of variation.

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4 years ago

Pennies made before 1983 are 97% copper and 3% zinc, whereas pennies made after 1983 are 3% copper and 97% zinc. listed belo

weqwewe [10]

The table in the attached figure

Pennies made before 1983
Part a) find the mean
we have
[3.1047,3.1082, 3.1582, 3.0776, 3.1276, 3.1035]
Mean 1=[3.1047+3.1082 + 3.1582 + 3.0776 + 3.1276 + 3.1035]/6
Mean 1=3.1133 grams

the answer part a) is
The mean weight of the pennies made before 1983 is 3.1133 grams.

Part b)
to find the Median, place the numbers in value order and find the middle.
[3.1047,3.1082, 3.1582, 3.0776, 3.1276, 3.1035]
[3.0776, 3.1035, 3.1047,3.1082, 3.1276, 3.1582]
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the answer part b) is
The median weight of the pennies made before 1983 is 3.10645 grams.

Pennies made after 1983
Part c) find the mean
we have
[2.4842, 2.4828, 2.5024, 2.4997, 2.4907, 2.4956]
Mean 2=[2.4842 + 2.4828 + 2.5024 + 2.4997 + 2.4907 + 2.4956]/6
Mean 2=2.4926 grams

the answer part c) is
The mean weight of the pennies made after 1983 is 2.4926 grams.

Part d)
to find the Median, place the numbers in value order and find the middle
[2.4842, 2.4828, 2.5024, 2.4997, 2.4907, 2.4956]
[2.4828, 2.4842, 2.4907, 2.4956, 2.4997, 2.5024]
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the answer part d) is
The median weight of the pennies made after 1983 is 2.49315 grams.

Part e) compare the means
Find the percentage difference
 the percentage difference is the difference between the new value and the old value, divided by the old value
so
new value=2.4926 grams
old value=3.1133 grams
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that means
the difference in the means is considerable to be greater than 5%

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3 years ago

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s344n2d4d5 [400]

Answer:

The distance of ship B from the Harbor is 32.26 miles

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Equations.

I have added a visual aid of the problem. As we can see the courses of both ship to the harbor forms a triangle with ship B being the hypotenuse. Since we are given the distance of the course for ship A and the angle between both ships, we can use this information with the COSINE operator to solve for the length of the course of ship B.

$cos(x) = \frac{adjacent}{hypotenuse}$