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atroni [7]
2 years ago
13

A wire is anchored on a 9-meter pole. One part is attached to the top of the pole and the other meters away from the base. Quest

ions: 1. How long is the wire? 2. What will happen if the wire is farther/nearer to the base? Justify your answer. 3. What mathematical concept did you use?
Ihope someone who can answer my questions, thank you​
Mathematics
1 answer:
Blababa [14]2 years ago
5 0

9 meter

Step-by-step explanation:

attached to the top

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three tanks are capable of holding 108 litres, 168 litres and 180 litres of milk. determine the capacity of the greatest vessel
SpyIntel [72]

A vessel of 7,560 liters

Step-by-step explanation:

This means finding the Least Common Multiple for;

108 168 180

We begin by finding the multiples of each number;

Multiples of 108:

108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160, 2268, 2376, 2484, 2592, 2700, 2808, 2916, 3024, 3132, 3240, 3348, 3456, 3564, 3672, 3780, 3888, 3996, 4104, 4212, 4320, 4428, 4536, 4644, 4752, 4860, 4968, 5076, 5184, 5292, 5400, 5508, 5616, 5724, 5832, 5940, 6048, 6156, 6264, 6372, 6480, 6588, 6696, 6804, 6912, 7020, 7128, 7236, 7344, 7452, <u>7560</u>, 7668, 7776

Multiples of 168:

168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, <u>7560</u>, 7728, 7896

Multiples of 180:

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, <u>7560</u>, 7740, 7920

The Least Common Multiple for the 3 number is;

= 7560

Therefore a vessel of 7,560 liters fills each one of them an exact number of times with no remainder.

Learn More:

For more on Least Common Multiple check out;

brainly.com/question/11978021

#LearnWithBrainly

5 0
3 years ago
WILL GIVE BRAINLIEST AND 50 POINTS!
Cerrena [4.2K]

Answer: The function M if derived from the integral of the derivative of the function. This is valid by the fundamental theorem of calculus.

M(x)=43x32−7x+C

Step-by-step explanation: not 100 about this but it's what I got

4 0
3 years ago
What is the exact volume of the cylinder? enter your answer, in terms of pi, in the box.
Dominik [7]

Answer:

Step-by-step explanation:

r = 8 in

h = 5 in

Volume of cylinder = πr²h

                                = π * 8 * 8* 5

                                = 320π in³

7 0
2 years ago
Read 2 more answers
Mr smith earn 1900 each week and his wife earns 1150 each week they need to set aside 300 for food 90 for gas 875 for the mortga
QveST [7]

answer

1385

explanation

to find the total, subtract the amount they earned by the amount they spend

total = earned - spent

earned

each week, Mr. Smith earns 1900 and and his earns 1150, so add these values together to find the total amount they earn

earned = 1900 + 1150

earned = 3050

spent

they spend money on food, gas, mortgage, and savings, so add these values together to find the total amount they spend

spent = food + gas + mortgage + savings

spent  = 300 + 90 + 875 + 400

spent = 1665

total

now that we know how much they earn and spend, we can find the total

total = earned - spent

total = 3050 - 1665

total = 1385

every week they have 1385 left over

4 0
3 years ago
In what follows use any of the following tests: Regression, multiple regression, one-sided t-test, or two-sided t-test. All conc
Yakvenalex [24]

Answer:

  1. Two sided  t-test ( d )
  2.  0.245782  ( c )
  3. Since P-value is too large we cannot conclude that the students’ weight are different for these two schools. ( c )
  4. The test is inconclusive; thus we cannot claim that the average weights are different. ( b )

Step-by-step explanation:

1)  Test performed is a Two sided test and this because we are trying to determine the mean difference between two groups irrespective of their direction

<u>2) Determine the P-value ( we will use a data-data analysis approach on excel data sheet while assuming Unequal variances )</u>

                               yes             No

Mean                   94.47059   89.76471

Variance              173.2647     95.19118

Observations            17            17

df                               30

t Stat                       1.184211  

P(T<=t) one-tail 0.122814  

t Critical one-tail 1.697261

P(T<=t) two-tail        0.245782

Hence The p-value =  0.245782

3) Since P-value is too large we cannot conclude that the students’ weight are different for these two schools.

4)   The test is inconclusive; thus we cannot claim that the average weights are different.

8 0
2 years ago
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