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Elden [556K]
3 years ago
9

A circle has a radius of 6.87 ft. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the near

est tenth. Enter your answer as a decimal in the box. ft
Mathematics
2 answers:
Ratling [72]3 years ago
4 0

Answer: Circumference of circle is 43.1 ft.

Step-by-step explanation:

Since we have given that

Radius of a circle = 6.87 ft

We need to find the circumference of circle :

As we know the formula for "Circumference of circle ":

C=2\pi r\\\\C=2\times 3.14\times 6.87\\\\C=43.1436\ ft\\\\C=43.1\ ft.

Hence, circumference of circle is 43.1 ft.

borishaifa [10]3 years ago
3 0
C = 2pi r
C = 2 x 3.14 x <span>6.87
C = 43.1 ft

answer: 43.1 ft</span>
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Peter shot 40 free throws. He made 80% of his shots. Which fraction is equivalent to
DaniilM [7]

Answer:

B equals 4/5

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3 years ago
Explain answer !! <br><br> ( WILL GIVE BRAINLEST)
kicyunya [14]

Answer:

25-7

Step-by-step explanation:

"Substitute for": Replace x with ____

Since it is given that x = 25 -y, we can replace the x in 5x + y = 10 with 25 - y by the substitution property of equality.

6 0
2 years ago
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Noah gathered data at his school among 7th and 8th graders to see if there was an association between grade level and handedness
mash [69]

Answer: 4) 157

Step-by-step explanation:

We know that there is no association between the grade level and the andedness, then we should find that the ratio between left handeds and right handed is the same for both grades.

In 7-th grade we have:

Left handed : 11

Right handed: 72

The ratio is 11/72 = 0.14

Then, the ratio for the 8-th graders must be about the same:

Left handed: 24

Right handed: X

Ratio: 24/X

Let's start with the bigger option, X = 157.

24/157 = 0.15

Ok, we now see that with the bigger option we obtained almost the same ratio (if we use the smaller values for X, we will get a ratio bigger than 0.15, so 0.15 is the better aproximation that we can find to the 0.14 of the 7-th graders)

Then the correct option is 4) 157

4 0
3 years ago
Paige lives 3 miles east of her school. Diego lives 8 miles wes of the school. Which expression represents the distance, in mile
True [87]

Answer: |3-(-8)|


Step-by-step explanation:

Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.

From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]

We know that, Distance between any two points from A to B= B-A

Since distance is a positive quantity, thus

The distance between them = |3-(-8)| miles=11 miles


5 0
3 years ago
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Modeling Radioactive Decay In Exercise, complete the table for each radioactive isotope.
Travka [436]

Answer :

The amount after 1000 years will be, 5.19 grams.

The amount after 10000 years will be, 0.105 grams.

Step-by-step explanation :

Half-life = 1599 years

First we have to calculate the rate constant, we use the formula :

k=\frac{0.693}{t_{1/2}}

k=\frac{0.693}{1599\text{ years}}

k=4.33\times 10^{-4}\text{ years}^{-1}

Now we have to calculate the amount after 1000 years.

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  = 4.33\times 10^{-4}\text{ years}^{-1}

t = time passed by the sample  = 1000 years

a = initial amount of the reactant  = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

1000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}

a-x=5.19g

Thus, the amount after 1000 years will be, 5.19 grams.

Now we have to calculate the amount after 10000 years.

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  = 4.33\times 10^{-4}\text{ years}^{-1}

t = time passed by the sample  = 10000 years

a = initial amount of the reactant  = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

10000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}

a-x=0.105g

Thus, the amount after 10000 years will be, 0.105 grams.

4 0
3 years ago
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