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adelina 88 [10]
3 years ago
6

Round off 3.974 to the nearest cent

Mathematics
1 answer:
BARSIC [14]3 years ago
3 0
3.97, 4  is less than 5 so you round down, and you should round to the nearest hundredths
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What is the area of a 45 degree sector of a circle with a radius of 12 in.
Elodia [21]

given ,

a circle of radius 12 inches

and \theta = 45°

now we know that ,

\\{Area \: of \: sector =  \frac{\theta}{360\degree}  \times \pi \: r {}^{2} } \\  \\

let's now plug in the values of radius and theta as 12 inches and 45° respectively ,

\\\dashrightarrow \:  \frac{45}{360}  \times  \frac{22}{7}  \times 12 \times 12 \\  \\ \dashrightarrow \:  \frac{1}{8}  \times  \frac{22 \times 12 \times 12}{7}  \\  \\ \dashrightarrow \:  \frac{22 \times 12 \times 12}{56}  \\  \\ \dashrightarrow \:  \frac{3168}{56}  \\  \\ \dashrightarrow \: 56.57 \: inches {}^{2} (approx.)

hope helpful :D

6 0
2 years ago
The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?
PolarNik [594]

Answer:

Around 364

Step-by-step explanation:

So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)

Then you multiply this by 57: 57x6.4 = 364.8

8 0
3 years ago
When running a 100 meter race Bill reaches his maximum speed when he is 45 meters from the starting line and 5 seconds have elap
Mkey [24]

Bill's speed is constant after 5 seconds and 45 meters into the race.

Correct responses:

a. Bill's maximum speed is 8 m/s

b. 24 meters

c. 57 meters

<h3>Methods used to calculate speed and distance traveled</h3>

Given parameters are;

The distance of the race = 100 meter

Distance at which Bill reaches maximum speed = 45 meters

Speed Bill maintains after 5 seconds = The maximum speed

Time at which Bill is 85 meters from the starting line = 10 seconds after start

a. Required;

Bill's maximum speed in meters.

Solution:

Distance Bill runs at maximum speed, d = 85 m - 45 m = 40 m

Time at which Bill runs the 40 m at maximum speed, <em>t</em> = 10 s - 5 s = 5 s

Speed = \mathbf{\dfrac{Distance}{Time}}

Therefore;

  • Bill's \  maximum \ speed = \dfrac{40 \ m}{5 \ s} = \underline{8 \ m/s}

b. i. Required:

The distance Bill will run for 3 seconds at the maximum speed;

Solution:

Distance,<em> s</em> = Speed, <em>v</em> × Time, <em>t</em>

<em />

The distance traveled at maximum speed in 3 seconds is therefore;

Distance = 8 m/s × 3 s = 24 m

The distance Bill travels in 3 seconds at the maximum speed is 24 meters.

ii) The distance Bill travels at 8 seconds after start, is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 3 seconds = 24 meters

Therefore;

  • Bill's distance from the starting line 8 seconds after start is 45 meters + 25 meters = <u>69 meters</u>

c. Bill's distance 6.5 seconds after the start of the race is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 1.5 seconds = 1.5 s × 8 m/s = 12 meters

  • Bill's distance from the starting line 6.5 seconds after start of the race = 45 meters + 12 meters = <u>57 meters</u>

Learn more about distance, speed, time, relationship here:

https://brainly.in/question/49075584

6 0
2 years ago
How would you convert 276 yards to inches?
valentinak56 [21]

Answer:

9936 inch.

Step-by-step explanation:

Note the measurements:

1 Yard = 3 Feet

1 Feet = 12 Inch

1 Yard = 3 Feet = (12)(3) Inches = 36 Inches; 1 Yard = 36 Inches

Multiply 276 with 36

276 x 36 = 9936

9936 inches is your answer.

~

6 0
3 years ago
Bucket A has 5 1/2 gallons of water, but is draining at a rate of 3/4 gallons per hour. Bucket B has 2 1/4 gallons of water, but
Ivenika [448]

Answer:

9/0

Step-by-step explanation:

6 0
3 years ago
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