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3 years ago

How deep is a well that takes eight cranks on the six- inch diameter windlass to raise the bucket?

1 answer:

Nookie1986 [14]3 years ago

6 0

In order to answer this, you would need to find the circumference of the windlass. This would represent the distance of one rotation. When you know the distance of one rotation, you would then multiply it by eight for all eight Kranks. This is knowing each crank is a complete turn. Here is the formula C= pi times the diameter. So, 3.14 x 7 is 18.84 inches for 1 crank. 18.84 inches times 8 equals 150.72 inches. This is an approximation because pi is an approximation.

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One number is 2 more than 3 times another. Their sum is 22. Find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12

xxTIMURxx [149]

9514 1404 393

Answer:

(b) 5, 17

Step-by-step explanation:

You can try the answer choices easily enough.

2 +3×8 ≠ 14

2 +3×5 = 17 . . . . this choice works (5, 17)

2 +3×2 ≠ 20

2 +3×4 ≠ 18

2 +3×10 ≠ 12

Or, you can solve the equation:

x + (2 +3x) = 22

4x = 20 . . . . . . . . subtract 2

x = 5 . . . . . . . . . . divide by 4

The numbers are 5 and (22 -5) = 17.

5 0

3 years ago

Solve and type in 'ab' 8×a=32,a+26=b+1,a<20<b

Whitepunk [10]

8*a=32
32:8=a
4=a

4+26=b

30=b

3 0

3 years ago

What is m=3 and the line goes through the point (2,4) in point - slope form

Inga [223]

Answer:

y-4=3(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

6 0

3 years ago

Evaluate the expression: −(8 − 12) + 60 + (−4)2. A) 13 B) 20 C) 21 D) −11

k0ka [10]

Answer:

56.

Step-by-step explanation:

= -(8-12)+60+(-4)*2

= -(-4)+60+(-4)*2

= 4+60+(-4)*2

= 4+60+-4*2

= 4+60-4*2

= 4+60-8

= 64-8

= 56

5 0

3 years ago

$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the

Marianna [84]

Answer:

Equation: $F=1500(1.0025)^{12t}$

The balance after 5 years is: $1742.43

Step-by-step explanation:

This is a compound growth problem . THe formula is:

$F=P(1+\frac{r}{n})^{nt}$

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

$F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}$

Now, we want balance after 5 years, so t = 5, substituting, we get:

$F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43$

The balance after 5 years is: $1742.43

3 0

3 years ago