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Marina86 [1]
3 years ago
14

Please Help!

Mathematics
1 answer:
Flura [38]3 years ago
8 0
Let x be the length of the train.

On the basis of the observer;
Speed of the train = x/6

On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20

Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.

Therefore,
Length of train = 150 m
Speed of train = 25 m/s
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I'm supposed to simplify this.
tekilochka [14]

Answer:

C

Step-by-step explanation:

the proof of the answer is seen in the diagram

4 0
2 years ago
What is the area of the parallelogram?
IgorC [24]

Complete Question

What is the area of the parallelogram?

Slant Height = 21 cm

Height = 15 cm

Base = 20 cm

Answer:

300cm²

Step-by-step explanation:

The formula for the area of the parallelogram = Base × Height

Base = 20cm

Height = 15cm

Area = Base × Height

= 20cm × 15cm

= 300 cm²

Therefore, the area of the parallelogram is 300 cm²

3 0
3 years ago
consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).
tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
(8,4)
m=2/3

y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
y=2/3 x-4/3  (slope intercept form)

Answer: The equation of the line would be: y=2/3 x-4/3.


if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
3 0
3 years ago
How to guess the number someone is thinking?
Anvisha [2.4K]
Once your friend has thought of a number, do the following:
1. Ask him or her to multiply the chosen number by 2.
2.Choose an even number to use yourself. Ask your friend to add this number to the one in his head.
3.Tell him/her to divide the new number by 2.
4.Tell your friend to subtract his original number from the equation.
5."Guess" the number.
:)
6 0
3 years ago
11. In a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16. What is the mean for
ahrayia [7]

Answer:

11

Step-by-step explanation:

Given that in a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16

i.e. the data entries are

10,10,10,10,10,16

Sum = 66

No of items n = 6

Average = sum/no of entries

=\frac{66}{6} \\=11

Average is 11.

mean of this sample is 11

8 0
3 years ago
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