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N76 [4]
2 years ago
5

The rear wheel of a lawn tractor has a 20-inch radius. Find the angle (in radians) through which a wheel rotates in 23 seconds i

f the tractor is traveling at a speed of 13 miles per hour? Round to the nearest tenth if necessary.
Mathematics
1 answer:
Minchanka [31]2 years ago
8 0

Answer:

263.12 radians

Step-by-step explanation:

The length of the rear wheel is given by:

L=2\pi r\\L=40\pi

The distance traveled by the lawn tractor in 23 seconds is:

d=13\frac{miles}{hour} *63360\frac{inch}{miles}*\frac{1\ hour}{3600\ seconds}*23\ seconds\\ d=5,262.4\ inches

The angle through which a wheel rotates is given by:

A=\frac{d}{L}*2\pi \\A=\frac{5,262.4}{40\pi}*2\pi\\A=263.12\ radians

The wheel rotates through a 263.12 radians angle.

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Ayo can someone help me with this real quick
solniwko [45]

Answer:

r = 8

Step-by-step explanation:

6r = 95-47

6r = 48

r = 48/6

r = 8

5 0
2 years ago
Why is this simplified by combining like terms <br> 3(4x+5) +2
Inga [223]
3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17
3 0
2 years ago
Using =2L+2W, Find L when P is 50 and W is 10
mestny [16]

Answer:

L = 15

Step-by-step explanation:

P = 2L + 2W

you know that P = 50, W=10

So you have to replace those values on the equation

50 = 2L + 2*(10)  --> Replace P and W

50 = 2L + 20  --> Multiply and now you are going to separate the unknown and the constants.

Remember that if you send a constant to the other side of the equal the sign will change to its opposite

50 - 20 = 2L  --> Solve the constants

30 = 2L    --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation,  the opposite operation of multiplying is dividing, so you have:

30/2 = L

L= 15

5 0
3 years ago
Can someone please help me with this question thank you
netineya [11]

Answer:

The answers are C,F

Step-by-step explanation:

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3 0
3 years ago
Edgar owns 234 shares of Cawh Consolidated Bank, which he bought for $21.38 apiece. Each share pays a yearly dividend of $3.15.
trapecia [35]

Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.

Step-by-step explanation:

Firstly, the yield for stocks will be calculated as:

= return/ investment cost

= $3.15/$ 21.38

= 0.14733395

= 14.73%

The yield for bonds will be calculated as:

= Return/Investment cost

Return = 1,000 x 8.3% = 83

Investment cost = 1,000 x 105.166/100 = 1051.66‬

Yield = 83/1051.66

= 0.07892284

= 7.89%

Then, the difference between the yield will be:

= 14.73% - 7.89%

= 6.84%

Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.

8 0
2 years ago
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