More than one triangles of different triangles of different sizes can be constructed with angle measurement of <span>134°,10°,36°</span>
Answer:
224.54 km
Step-by-step explanation:
A right triangle is formed, where h + r = 4 + 6300 = 6304 km is the hypotenuse, r = 6300 km is one leg and d is the other leg. By Pythagorean theorem:
6304² = 6300² + d²
d² = 6304² - 6300²
d = √50416
d = 224.54 km
If Nate paints the wall in 4 hours, it means that he can paint 1/4 of the wall every hour.
Similarly, if Jill paints the wall in 7 hours, it means that he can paint 1/7 of the wall in one hour.
So, together, they paint the following fraction of the wall in one hour:
.
At this rate, they need 28/11 hours to paint the whole wall, in fact, after that amount of time they paint
i.e. the whole wall
First task:
To determine this we need to make difference between system that doesn't have solution and system that has infinite number of solution. If when solving equations we get 0 = 0 that means system has infinite number of equations.
If we get 0 = some number that means that system doesn't have solution.
Multiplying first equation of second system by 2 and adding it to second equation we get 0=0 which means that this system has infinite number of solutions.
Answer is second system
Second task:
For this we need to set a system of equations and solve it. System looks like this:
x + y = 224
x*12 + y*8=2520
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x represents older than 18 and "y" 18 and younger than that.
first equation we multiply with -12 and sum it with second.
-4y = -168
y=168/4 = 42
Answer is 42.
