Answer:
A, B, and C
Step-by-step explanation:
The equilateral triangle refers to its equivalent sides and angles. So automatically, D would be ruled out.
Equilateral triangles have the same angles, so that would rule out E, because one 90° angle means it is a right triangle. Based on the explanation above, the answer would be A and B. C can be confusing but here's the explanation:
A triangle's sum of interior angles is 180°, so if a triangle has three sides, it also has three angles. So if you divide 180 into 3 equal parts, you get 60° each. So technically C is correct.
Answers: A, B, and C.
Answer:
c = 175
Step-by-step explanation:
When the height of a right triangle is shown this way (at right angles with the hypotenuse, It can be found by using the way the hypotenuse is broken up. The following proportion works.
576/x = x / 49 Cross multiply
x^2 = 576 * 49
sqrt(x^2) = sqrt(576*49)
x = 24 * 7
x = 168
But that's not what you want (although it is close).
What you want is the hypotenuse to the small lower triangle
c = ?
a = 49
b = 168
c^2 = 49^2 + 168^2
c^2 = 2401 + 28224
c^2 = 30625
c = sqrt(30625)
c = 175
Set up a differential equation using rate of salt going in minus rate going out.
Rate = dS/dt = salt/gal* gal/min
Also the number of gallons in tank is increasing at (4-2) gal/min = 2 gal/min
The volume of tank at any given time = 100+2t
Differential Equation:

Use integrating factor of t+50
![[S(t+50)]' = t+50](https://tex.z-dn.net/?f=%5BS%28t%2B50%29%5D%27%20%3D%20t%2B50)
Integrate both sides

Solve for constant c given S(0) = 20
c = 1000
Tank is full at 200 gallons when t =50
100+2t = 200 ---> t = 50
S(50) = 47.5
Final Answer: There are 47.5 pounds of salt
Answer:
1. ( 0,-6 ) is y-axis
2. ( 15,4 ) is l quadrant
3. ( 100, -5 ) is lV quadrant
4. ( 0.004, .05 ) is l quadrant
5. ( -4,0 ) is x-axis
8. ( -7.5, -6.3 ) is lll quadrant
9. ( 0.1000) is y-axis.