Answer:
JM = 7
Step-by-step explanation:
Triangles LMN and LJK are similar, so corresponding sides have teh same ratio:
LM/MN = LJ/JK
14/(JM+3) = (14 +JM)/15
210 = (JM +3)(JM +14) . . . . . multiply by 15(JM +3)
JM² +17JM -168 = 0 . . . . . . . subtract 210; put in standard form
(JM +24)(JM -7) = 0 . . . . . . factor
The values for JM that make this true are 7 and -24. The length must be positive, so ...
JM = 7
The first answer is 33.
And secomd one is 1.
Well the angle is acute at the 3 it would be a right angle so I'm guessing it's 30 degrees but if I'm wrong u could use a protractor to find the angle of degrees
Answer:
Height = 7 meters
Step-by-step explanation:
Equation:
To work out the height, you need to know the formula for the volume of a cone which is:
Explaining variables:
- mathematical constant.
- radius of the cone
- height of the cone
- volume of the cone
Working out the height:
We are looking for the height, so let's re-arrange the equation.
We are given the height, volume and diameter.
To work out the radius we have to know that . So the radius is m.
Now let's put everything in the equation for the height to work it out.
meters.
Therefore, the height of the cone is 7 meters.