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3 years ago

Is the circumference of all circles about 3 times greater than their diameters. and why?

Mathematics

1 answer:

stira [4]3 years ago

8 0

Answer:

<h2>Yes the circumference is about times greater than their diameters</h2>

Step-by-step explanation:

We will approach this problem by doing a check

Say the diameter of a circle is 4 cm

Hence the radius is 3 cm

We know that the circumference is $C=2\pi r$

$C=2*3.142*2= 12.57cm$

The circumference is about 3 time bigger than the diameter

Let us try another case say the diameter is 6 cm

The radius is 3 cm

$C=2*3.142*3= 18.85cm$

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Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i

jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

7 0

3 years ago

Read 2 more answers

Help me please on this question .....!.!.!.!.!.!.!.!.!.!.

Zigmanuir [339]

If you look through the chart, you'll see that in each column,
the amount of money donated is 1/5 the number of lunch
specials sold.

The equation is:

Donation amount = (1/5) · (lunch specials sold) .

The constant of proportionality in money per lunch special sold
is $1/5 or 20 cents.

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3 years ago

If Sam is 3 years younger that Marco.Marco is 15 years old.How old is Sam

wolverine [178]

Answer:

Sam is 12 years then

Step-by-step explanation:

Sam's age =15-3

=12 years

5 0

2 years ago

The football program has 14 footballs that weigh 2.57 pounds each. How much do the footballs weigh all together?