Step-by-step explanation:
Total number of student signed up for classes during an orientation session=32
Total number of student signed up for chemistry=20
Total number of student signed up for English=18
Total number of student signed up chemistry or English or both=20+18=38
Therefore, Total number of student who signed up both chemistry and English=38–32=6
plss mark me brainliest :)
Answer:
The maximum possible area of the pasture = 2450 square feet
Step-by-step explanation:
Let the length of the creek be 'L'
and, the width of the rectangular area be 'B'
Data provided:
The rectangular area is enclosed using the creek as one side and fencing for the other three sides
Thus, 2B + L = 140 feet
or
L = 140 - 2B .........(1)
Now,
Area of the rectangular land, A = L × B
using (1)
A = ( 140 - 2B) × B
or
A = 140B - 2B²
Now to maximize the area, differentiating the area with respect to width 'B'
we have
= 140 - 2 × 2 × B ...........(2)
for point of maxima or minima ,
= 0
thus,
140 - 2 × 2 × B = 0
or
4B = 140
or
B = 35 feet
differentiating (2) with respect to B, for verifying the maxima or minima
= 0 - 2 × 2 = -4
since,
is negative,
therefore,
B = 35 feet is point of maxima
from (1)
L = 140 - 2B
or
L = 140 - 2 × 35
or
L = 140 - 70 = 70 feet
Hence,
The maximum possible area of the pasture = L × B
= 70 × 35
= 2450 square feet
It’s pretty simple,, first you make sure you have the like terms together. So it would become 2x=16-8. 8 becomes -8 as we’re moving it to the other side
So the working will be
2x=16-8
2x=8
X=4
I hope this helped!! Let me know if there’s anything else i can help with:)
Answer: 180
Step-by-step explanation: 9.9 squared by 1.79 is 180
Answer:
Since it's a right angled triangle
Hypotenuse = h
h² = 7²+24²
h= √49 + 576
h = √625
h= 25
Therefore hypotenuse is 25
Hope this helps.