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Dominik [7]
1 year ago
8

IN NEED OF A MATH WIZ!!!!!

Mathematics
2 answers:
densk [106]1 year ago
5 0
The unoccupied volume will be the volume of the can minus the volume of the three tennis balls.

V=HπR^2-3(4πr^3)/3

V=HπR^2-4πr^3  where H=height of can, R=radius of can, r=radius of ball

We are told H=7, R=1.5, and r=1.125  (2.25/2=d/2=r) so

V=7π1.5^2-4π1.125^3

V=15.75π-5.6953125π  in^3

V≈31.58 in^3
AnnZ [28]1 year ago
3 0

<u>Answer:</u> 31.58\ inches^3

<u>Step-by-step explanation:</u>

Given: The diameter of tennis ball = 2.25 inches

The radius of ball =\frac{2.25}{2}=1.125\ inches

The volume of ball (sphere) is given by :-

V=\frac{4}{3}\pi r^3\\\\\Rightarrow V=\frac{4}{3}(3.14)(1.125)^3\\\\\Rightarrow\ V=5.96109375\approx5.96\ inch^3

For cylindrical canister, Height = 7 inches

Radius = 1.5 inches

The volume of  cylindrical canister (cylinder) is given by :-

V=\pi r^2h\\\\\Rightarrow V=(3.14)(1.5)^2(7)\\\\\Rightarrow\ V=49.455\approx49.46\ inch^3

Now, the canister’s volume is unoccupied by tennis balls

= Volume of canister - volume of 3 balls

=49.46-3(5.96)=49.46-17.88=31.58\ inches^3

Hence, the canister’s volume is unoccupied by tennis balls=31.58\ inches^3

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Three judges measure the lap times of a runner and each measurement is different from the others by a few hundredths of a second
ohaa [14]

Answer:

Systematic error

Step-by-step explanation:

Assuming that none of the judges are biased, the most likely reason for this difference is the occurrence of systematic errors.

Systematic errors are errors introduced by inaccuracy in the experimental design, be it in the observation or measurement process.

In this case, the reaction time from observing the finish and stopping the clock for each judge might be different, which configures a systematic error.

6 0
1 year ago
A wire that is 0.20 meters long is moved perpendicularly through a magnetic field of strength 0.45 newtons/amperes meter at a sp
Natali [406]

Answer:

Given:

length of the wire = 0.20 meters

magnetic field strength = 0.45 newtons/amperes meter

speed = 10.0 meters per second

emf = B * l * v 

B = flux density ; l = length of the wire ; v = velocity of the conductor

emf = 0.45 newtons / ampere meter * 0.20 meters * 10.0 meters/seconds

emf = 0.90 volts

The emf produced is 0.90 volts.

Step-by-step explanation:

6 0
1 year ago
Mr Hughes is competing in the Mr. Legs campaign to raise money for the coral shores high school scholarship fund. On the first d
lakkis [162]
<span>The number of dollars collected can be modelled by both a linear model and an exponential model. To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8) The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3 y - 2 = 3(x - 1) = 3x - 3 y = 3x - 3 + 2 = 3x - 1 Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17 To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2. 8 = 2r^(3 - 1) = 2r^2 r^2 = 8/2 = 4 r = sqrt(4) = 2 Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
4 0
1 year ago
Read 2 more answers
In ΔBCA, BA = 17 cm, BF = 6 cm, CG = 9 cm. Find the perimeter of ΔBCA.
Rainbow [258]

Answer:

answer is 52 cm

Step-by-step explanation:

BA = 17, BF = 6, and CG = 9

triangle sides BF and BH are congruent because they are tangent lines along the same curve

BH is equal to 6 since BF is equal to 6

this applies to CG and CF and AG and AH

CG is equal to 9

so CF is equal to 9

now we add 6 + 9 for the measurement of side CB

CB = 15

now we do the same for the other two sides

we already know BA = 17 so we subtract it from BH = 6 to find the measurement of AH

AH is equal to 11 and is tangent across the same curve as AG

AG = 11

now we add AG to CG

11 + 9 = 20

now we know  all the side lengths

CB + BA + AC = Perimeter

15 + 17 + 20 = 52

Perimeter of triangle BCA = 52

I don't know why I went through all the trouble if I know no one is going to see this :'(. I just thought the other guy gave the wrong reasons

3 0
1 year ago
Read 2 more answers
3.5 hours:$10 1/2 hour:$1.25. What is the unit rate in dollars per hour for each company?
Rasek [7]

One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).

Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.

The unit rate is 2,86:2,50

7 0
1 year ago
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