Answer:
mAngleY < mAngleZ < mAngleX
Step-by-step explanation:
Since m ≥ 6
Let's assume m = 7
XY = m + 8 = 7 + 8 = 15
YZ = 2 m + 3 = 2(7) + 3 = 17
ZX = m - 3 = 7 - 3 = 4
When solved, the angles of the triangle are given below;
∠X = 113.58
∠Y = 12.45
∠Z = 53.97
Arranging in order;
∠Y < ∠Z < ∠X
The correct option is;
mAngleY < mAngleZ < mAngleX
Answer:
Therefore the depth of the water is changing at the instant when the water in the tank is 9 cm deep at rate / min.
Step-by-step explanation:
Given that,
Radius of the cone(r)= 6 cm
Height of the cone (h)= 12 cm
The volume of the cone is (V)
Putting
Differentiating with respect to t
....(1)
Given that water is drained out of tank at the rate 3 / min.
It means the rate change of volume is 3 / min that is
Putting the value of in equation (1)
To find the rate of the depth of water changing at 9 cm depth, we need to put h=9 cm in the above equation.
/ min.
Therefore the depth of the water is changing at the instant when the water in the tank is 9 cm deep at rate / min.
Answer:
13.8 miles
Step-by-step explanation:
1725 grams of water were used to make the bottle of syrup. There is a total of 1875 grams of liquid in the bottle.
Answer:
Step-by-step explanation:
60 sandwiches; x are eaten in the first hour. You ate 9 sandwiches after that. There are 17 sandwiches left.
60 - x - 9 = 17
-x = 17 - 60 + 9
-x = -34 you can't have a negative x so you have to change the sign on both sides.
x = 34 sandwiches were eaten in the first hour.
34 + 9 + 17 = 60 checks out.