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tester [92]
3 years ago
9

The radius of a circle is 9. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diam

eter? A) C /9 = π B) C /18 = π C) C = 9π/r D) C = r /18π
Mathematics
2 answers:
Dafna1 [17]3 years ago
7 0
The formula of the circumference is C=
dsp733 years ago
4 0

Answer:

B) C÷18=π

Step-by-step explanation:

The formula of the π(pi) is :

pi(π)=Circumference(C) ÷diameter(d), where the diameter of the circle=2*radius =2*9=18

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What is the area of this trapezoid?<br><br><br><br> Enter your answer in the box.<br><br> = cm²
VLD [36.1K]

A = 440

answer...

A

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a

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20

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440

6 0
3 years ago
Anyone know how to do this?
Lera25 [3.4K]

Answer:

Part A) 25

Part B) 225

Step-by-step explanation:

Part A

The slope of the graph gives us the mile per gallon of the car.

Recall that the slope of the graph is rise over run.

m =  \frac{200}{8}  = 25

Therefore car gets 25 miles per gallon

Part B) Since we know the slope of the direct variation line, we substitute into y=kx to get:

y = 25x

To find the number of miles the car travels using 9 gallons, we substitute x=9 to get:

y = 25 \times 9

This gives us 225 miles

8 0
3 years ago
Need help!! I can't figure this out
Sidana [21]

9514 1404 393

Answer:

  12. $1,035,057.23

  13. $988,881.23

  14. $7,762.93

  15. $8,686.16

  16. $967,647.66

Step-by-step explanation:

The annuity and amortization formulas are used for problems like this.

  sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)

  monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))

__

12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...

  A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23

__

13. The total of payments is ...

  $74×12×52 = $46,176

So, the interest earned is ...

  $1,035,057.23 -46,176 = $988,881.23

__

14. The amount available in perpetuity is the monthly interest on this account balance.

  $1,035,057.23 × .09/12 = $7,762.93

__

15. The monthly amount available for 25 years is found from the amortization formula:

  A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16

__

16. The amortization formula is used for this, too.

  8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P

  P = $8066/0.00833568 = $967,647.66

7 0
2 years ago
Two numbers rolled can be added to get a sum. Find P(sum is even.)
azamat
When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).

You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.

Therefore:
P(sum is even) = 2 / 4 = 0.5

Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.
6 0
3 years ago
the ratio of girls to boys in the sixth grade is 5:3. If there are 400 sixth graders, how many boys are there?
PilotLPTM [1.2K]

Answer:

boys = 250

girls = 150

Step-by-step explanation:

5g = 3b       eq. 1

g + b = 400       eq. 2

g = girls

b = boys

From the eq. 2

g = 400 - b

Replacing this last eq. on eq. 1:

5(400-b) = 3b

5*400 + 5*-b = 3b

2000 - 5b = 3b

2000 = 3b + 5b

2000 = 8b

2000/8 = b

250 = b

From eq. 2

g + 250 = 400

g = 400 - 250

g = 150

Check:

from eq. 1

5*150 = 3*250  = 750

3 0
2 years ago
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