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Verdich [7]
3 years ago
10

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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PLEASE HELP
Licemer1 [7]

Answer:

35 dimes and 60 nickels

Step-by-step explanation:

let d = # of dimes and n = # of nickels

We know that Timmy has a total of 95 coins, consisting of dimes and nickels

So d + n = 95

The total value of his bank is $6.50

A dime is worth $0.10 and a nickel is work $0.05

So 0.10d + 0.05n = $6.50

Note that we've just created a system of equations that we can solve

We have the two equations

0.10d + 0.05n = 6.50 and d + n = 95

There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.

First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.

d + n = 95

- subtract d from both sides -

n = 95 - d

We now defined "n"

Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.

0.10d + 0.05n = 6.50

n = 95 - d

0.10d + 0.05(95 - d) = 6.50

we now solve for d

0.10d + 0.05(95 - d) = 6.50

step 1 distribute the 0.05

0.05 * 95 = 4.75 and 0.05 * -d = -0.05d

0.10d + 4.75 - 0.05d = 6.50

step 2 combine like terms 0.10d  - 0.05d = 0.05d

0.05d + 4.75 = 6.50

step 3 subtract 4.75 from both sides

0.05d = 1.75

step 4 divide both sides by 0.05

0.05d / 0.05 = d and 1.75 / 0.05 = 35

d = 35

Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )

d + n = 95

d = 35

35 + n = 95

subtract 35 from both sides

n = 60

We can conclude that he has 35 dimes and 60 nickels

4 0
2 years ago
Round 49.87654321 to the nearest tenth
schepotkina [342]
49.9 is the answer
hope it helps ya :D
8 0
3 years ago
Solve this linear equation for p.
Vinvika [58]

Answer:

P = 11.2

Step-by-step explanation

6 0
3 years ago
Read 2 more answers
One mile is equal to 5,280 feet. What is the sum of the lengths of all 18 holes on the golf course in miles?
soldi70 [24.7K]

Answer:

the answer would be 4 Miles.

explanation:

We already know that 5,280 feet equals 1 Mile, and so we divide-

21,120 divided by 5,280, and that equals 4.

hope that made sense! I’m not very good with wording things! :)

8 0
3 years ago
Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=36.
DanielleElmas [232]
The second is Yes
Sixth is Yes
First is No
Fourth is No
Fifth is No
Third is Not Enough Info
And last x=11
7 0
3 years ago
Read 2 more answers
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