Answer:
answer is 90
if m^2=m^3
then, 90+90=180
Step-by-step explanation:
Answer:
15 weeks
Step-by-step explanation:
Jon will increase his weigh 2 lbs a week which means he will be 178 lbs in 15 weeks{148+(15*2)} while Matt will decrease his weight from 1 lbs which means he will be 178 lbs in 15 weeks (193-15=178).
The vector equation of the line through the origin perpendicular to the plane is
.. (x, y, z) = t(2, 3, -1)
so the point of interest will satisfy
.. 2(2t) +3(3t) -(-t) = -3
.. 14t = -3
.. t = -3/14
and its coordinates are (x, y, z) = (-3/7, -9/14, 3/14)
Answer: 362,880
Step-by-step explanation: At first glance of the question, it doesn't seem that the order matters, which would make it a question of how many combinations there are. The simple way to look at it is that there are 9 trees and he's planting 8, leaving out 1. Since there are 9 possible trees to leave out, there are 9 possible combinations of which 8 trees to plant.
The formula would be 9!/([9-8]!*8!) = 9
If the question is indeed asking for permutations (order matters), since you are choosing 8 out of 9 the formula would be 9!/(9-8)! = 9!/1! = 9! = 362,880
H = 27 m. Since these are scales of each other, you can solve for h by creating a ratio of the two lengths. Divide 36 by 4 to find the scale for the tree. 36/4 = 9. This means that the large triangle is 9 times larger than the small one. Now to find h, multiply the height of the small triangle by the scale. 3 x 9 = 27. This means the height, h, of the large triangle is 27 m. You can check this by dividing the length of each triangle by their height. If they are the same number, the scale is correct. 36/27 = 1.33, 4/3 = 1.33 ✅
