First you would change the time from minutes to seconds by multiplying 4 by 60 because there are 60 seconds in a minute. After finding that (4*60=240) you would subtract the remaining time (12 seconds) from the total time (240 seconds). You would subtract the remaining time from the total time (228 seconds). Using that you would use the ratio time used/total (228/240). Divide that out and multiply by 100 to get 95%. I hope that helps!
Answer:
the answer to the question is 4.4
I took that test too and the answer is b
If triangle KMN is congruent with triangle LMN, then:
1) KM must be congruent with LM→KM=LM→
x+2y=3x-y→x+2y-x-2y=3x-y-x-2y→0=2x-3y→2x-3y=0 (1)
2) KN must be congruent with LN→KN=LN→
5x+3y=8x-7→5x+3y-5x-3y+7=8x-7-5x-3y+7→7=3x-3y→3x-3y=7 (1)
We have a system of two equations and two unkowns:
(1) 2x-3y=0
(2) 3x-3y=7
Subtracting equation (1) from equation (2)
(3x-3y)-(2x-3y)=7-0
3x-3y-2x+3y=7
x=7
Replacing x=7 in equation (1)
(1) 2x-3y=0→2(7)-3y=0→14-3y=0→
14-3y+3y=0+3y→14=3y→14/3=3y/3→14/3=y→y=14/3
The length of the hypotenuse is:
KN=5x+3y=5(7)+3(14/3)=35+14→KN=49
or
LN=8x-7=8(7)-7=56-7→LN=49
Answer: Option C. 49
Answer:
Step-by-step explanation:
The volume of cone is given by:
where 
is the radius of the base and 
is the height of the cone.
We need to solve for
we have 
Multiplying both sides by 3 to remove 
⇒ 
⇒ 
dividing both sides by 
⇒ 
⇒ 
Taking square root both sides:
⇒ 
⇒ 
∴
