Answer:
how should I know?
Step-by-step explanation:
Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank
boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time
boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet
The time is the same rate x time = distance distance/rate = time equate the distances divided by the respective rates
(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x
1100x + x^2 = 1400x + 700000
x^2-300x -700000 = 0 quadratic formula yields x = 1000
One boat travels 700 the other 1000 whe they first meet.....width of river = 700+ 1000 = 1700 m
The equation of the plane that goes through these points is:
6x + 2y + z = 10.
<h3>How to find the equation of a plane given three points?</h3>
The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
More can be learned about the equation of a plane at brainly.com/question/13854649
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Answer:
The length of the flight of stairs is 52 m
Step-by-step explanation:
<em>In parallelograms, opposite sides are equal in length</em>
In the given figure
∵ The building is built in the shape of a parallelogram
∵ The length of the flight of stairs is one side of it
→ We can find it by finding the hypotenuse of the right triangle
whose legs are 47 m and 22 m
∴ The length of it = the length of the hypotenuse of the right Δ
→ By using the Pythagoras Theorem
∵ h = 
∵ leg1 = 47 and leg2 = 22
∴ h = 
∴ h = 
∴ h = 
∴ h = 51.89412298
∵ h represents the length of the flight of stairs
∴ The length of the flight of stairs = 51.89412298 m
→ Round it to the nearest meter
∴ The length of the flight of stairs = 52 m
Answer:
Step-by-step explanation:
10 5/6 km...in 5 days
(10 5/6) / 5 =
(65/6) / 5 =
65/6 * 1/5 =
65/30 =
2 1/6 kilometers per day <===
