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solmaris [256]
3 years ago
12

A cylindrical barrel with a diameter of 6 meters contains collected rainwater, as shown in the figure above. The

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

Answer:

(a) the rate of volume of water= g√10π/5m³/s

(b) height of water decreasing with time at the rate of -2√2/5

(c) the expression for h is

(-t/10+4)²

Step-by-step explanation:

Check attachment

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A collection of quarters, dimes, and nickels is worth $13.30. If the ratio of quarters to
RideAnS [48]

Answer:

105

Step-by-step explanation:

35 quarters ($8.75)

21 dimes ($2.10)

49 nickels ($2.45)

7 0
2 years ago
A company uses this formula to work out the cost, £A, of a taxi ride.
velikii [3]

Answer:

£b = £1.68

A = £44.68

Step-by-step explanation:

Given:

A = 5 + 1.9m + b

Where,

A = total cost

m = number of miles travelled

£b = charge for booking online

£5 = fixed charge

A. Harry

A = £29.48

m = 12 miles

£b = ?

A = 5 + 1.9m + b

29.48 = 5 + 1.9(12) + b

29.48 = 5 + 22.8 + b

29.48 = 27.8 + b

29.48 - 27.8 = b

b = 1.68

£b = £1.68

b) If Sue books online and travels 20 miles, what will be

A = 5 + 1.9m + b

= 5 + 1.9(20) + 1.68

= 5 + 38 + 1.68

= 44.68

A = £44.68

7 0
2 years ago
Numbers are (-20,10) and (40,-50)​
seropon [69]
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6 0
3 years ago
At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?
kati45 [8]

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

4 0
3 years ago
A triangle has angles measuring 43° and 62°. What is the measure of the triangle's third angle?
jarptica [38.1K]

Answer:

75 degrees

Step-by-step explanation:

I know the measure of the triangle's third angle is 75 degrees because all the angles of a triangle add up to 180 degrees. So, I did 180-62-43 and got 75. So, in order for this triangle to be true, the third triangle would have to be 75 degrees.

To check: 43 degrees+ 62 degrees+ 75 degrees = 180 degrees.

4 0
3 years ago
Read 2 more answers
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