Answer:
a
Step-by-step explanation:
Answer:
Initial number of trees were 204.
Step-by-step explanation:
555 must be a typo error. The question will not produce correct answer. I worked out with 55 but the answer is wrong. So, the number is 5.
Lets say MacDonald removed 5 orange trees from his farm.
Let t be the initial number of trees
After removing 5 trees, the remaining left are t-5 trees
As given - Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges. This means
![(t-5)210= 41790](https://tex.z-dn.net/?f=%28t-5%29210%3D%2041790)
Solving for t:
![210t-1050=41790](https://tex.z-dn.net/?f=210t-1050%3D41790)
![210t=41790+1050](https://tex.z-dn.net/?f=210t%3D41790%2B1050)
![210t=42840](https://tex.z-dn.net/?f=210t%3D42840)
t = 204
So, initial number of trees were 204.
We can check this : ![204-5=199](https://tex.z-dn.net/?f=204-5%3D199)
![199\times210=41790](https://tex.z-dn.net/?f=199%5Ctimes210%3D41790)
------------------------------------------------------------------------------------------
Working with 55 we get the wrong answer:
![(t-55)210=41790](https://tex.z-dn.net/?f=%28t-55%29210%3D41790)
![210t-11550=41790](https://tex.z-dn.net/?f=210t-11550%3D41790)
![210t=30240](https://tex.z-dn.net/?f=210t%3D30240)
t = 144
We can check this : ![144-5=139](https://tex.z-dn.net/?f=144-5%3D139)
(wrong)
Answer:
y = x - 3
Step-by-step explanation:
First, you need to find the slope from the two given points.
y2 - y1 / x2 - x1
= 3 - (-1) / 6 - 2
= 1
The slope is 1x or simply x.
For the y-intercept, you need to plug one of the coordinates into the equation, which is y = x + b
3 = 6 + b
-3 = b
So the equation is y = x - 3
Answer:
V = 60 m3
Step-by-step explanation:
Volume of a square pyramid:
V = (1/3)a2h
Slant Height of a square pyramid:
By the pythagorean theorem we know that
s2 = r2 + h2
since r = a/2
s2 = (1/4)a2 + h2, and
s = √(h2 + (1/4)a2)
This is also the height of a triangle side