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3 years ago

Planes S and R both intersect plane T.

Mathematics

1 answer:

Paraphin [41]3 years ago

4 0

Answer:

The true statements are;

1) The line containing points A and B lies entirely in plane T

2) Line z intersects plane S at point C

3) Planes R and T intersect at line y

Step-by-step explanation:

1) The points A and B are located on the line v which can be found on the plane T

2) As shown on the diagram, the line z, that has points C and D, passes through the plane Z at the point C

3) The intersection of the planes R and T is the line y. This is so because, the intersection of two planes can be seen as a line that is along the area of their intersection.

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

Alexa is planning to drive across the United States in

ivann1987 [24]

Answer:

a=112

b=6

c=280

Step-by-step explanation:

you just plug the number into the equation

28x=y

where x is the gallons

and y is the total miles

8 0

2 years ago

Read 2 more answers

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p

dolphi86 [110]

The vector function is, r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, $z=9x^2+y^2$

Second equation is of the parabolic cylinder, $y=2x^2$

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder, $y=2t^2$ .

Now substituting x and y into the equation of the paraboloid, we get,

$z=9t^2+(2t^2)^2 = 9t^2+4t^4$

Now the vector function, r(t) = <x, y, z>

So r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Learn more about vector functions at brainly.com/question/28479805

#SPJ4

7 0

1 year ago

Find the range. Write your answer in algebraic notation (with the inequalities).

Svet_ta [14]

Answer:

(-3, infinity)

Step-by-step explanation:

Range the y values, meaning up and down. The highest point is neverending therefore, infinity. The lowest point is -3.

I'm pretty sure this is correct.

4 0

2 years ago

Which is M=9pm solved for p

zaharov [31]

<h2>Answer:</h2>

The value of p :M/9m

<h2>Explanation:</h2>

As we have been given value of M

Value of M=9pm

So we can find value of p from here by simple mathematics rule

M=9pm

divide both side with 9m so

M/9m=9pm/9m

we get value of p so M/9m=p.

we can write it as p=M/9m

6 0

3 years ago