Answer: There will be about 888,915 gallons of water left in the spherical tank
Now, multiply that by 7.5 and you will have 1,028,915 gallons of water in the tank.
Finally, just subtract the 140,000 gallons and we are at our answer.
Hope this helps!
The parallel line:
y = mx + c
y = 5/7x + 7
Gradient of parallel line = 5/7
y = mx + c
y = 5/7x + c
-2 = (5/7 x -5) + c
-2 = -25/7 + c
-2 + 25/7 = c
c = 11/7
y = 5/7x + 11/7
The perpendicular line
y = mx + c
y = 5/7x + c
m = 5/7
Gradient of perpendicular line = -1/(5/7) = -7/5
y = mx + c
y = -7/5x + c
-2 = (-7/5 x -5) + c
-2 = 7 + c
-2 - 7 = c
c = -9
y = -7/5x - 9
The converse of a mathematical statement involves simply switching the hypothesis and the conclusion, thus:
"If a triangle is isosceles, then it is equilateral."
Answer: i only know question one so here
The first mathematical error occurred going from line __3__ to line _4___.
Why it is incorrect:
It is incorrect because the minus sign was not properly distributed. Line 4 should be ...
5 -2x +6 ≤ 4x -8
a.
The second mathematical error occurred going from line ___5_ to line 6____.
Why it is incorrect:
It is incorrect because 1 was added on the left and subtracted on the right. The same number needs to be added or subtracted on both sides.
b. Solve the inequality correctly.
5 -2x +6 ≤ 4x -8---------------correct line 4
11 -2x ≤ 4x -8------------ combine constants
19 -2x ≤ 4x ------------add 8
19 ≤ 6x--------------- add 2x
19/6 ≤ x----------- divide by 6
Factors of 3771 are:
1, 3, 9, 419, 1257, 3771
Factors of 3298 are:
1, 2, 17, 34, 97, 194, 1649, 3298
As you can see, no factors goes into both number.
Therefore, there should be no number goes into both 3771 and 3298 evenly.
Hope this helps and hope I didn't misunderstood this question. :D
