Answer:
h=2.69 m
Step-by-step explanation:
Ep=m×g×h
1=0.038×9.8×h
1/0.038×9.8=h
1/0.3724=h
2.69=h
The answer is 43. You have to do: 180 (maximum in the triangle) - 47 - 90 (the angle that isn’t x) = 43. That’s the measure of x!
Answer:
3 years
Step-by-step explanation:
As with many age problems, you can reason it without equations. If Tom is 13 now, 2 years ago he was 11. If the total age of the two cats at that time was 15, then Tim was 15 -11 = 4.
That means Tim is now 4+2 = 6, so will be 9 in 3 years.
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<em>Additional comment</em>
If you want to write equations, there are several ways you can do it. We often like to use variables to represent the current age. We can assign ...
x = Tim's current age; y = Tom's current age.
The sum of their ages 2 years ago was ...
(x -2) +(y -2) = 15
Tom's current age is 13, so we have y=13. Using that in the equation gives ...
x -2 +13 -2 = 15
x = 6 . . . . . . . . . . subtract 9, collect terms
That's Tim's current age, so Tim will be 9 years old in 3 years.
Answer:
y = (1/3)x - 4
Step-by-step explanation:
Any line perpendicular to the given equation y = -3x + 4 will have a slope which is the negative reciprocal of -3; that is, +1/3.
Start with the general slope-intercept form y = mx + b.
Insert the coordinates 6 and -2 into y = mx + b: -2 = (1/3)(6) + b, or
-2 = 2 + b. Thus, b = -4, and the desired equation is
y = (1/3)x - 4
Answer:
316.41 m³
Step-by-step explanation:
7.5x7.5x3.75=210.9375
3.75x3.75x7.5=105.46875
210.9375+105.4675=316.405
