Answer: 16 units
Step-by-step explanation:
Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
It would be 24 blue cars. ( I can't show the work because my camara is not working)
Answer:
Auxiliary pump should be started at 6:36 PM
Step-by-step explanation:
Let the volume of oil tanker be V.
An oil tanker can be emptied by the main pump in 5 hours,
An auxiliary pump can empty the tanker in 12 hours,
We need to find when should the auxiliary pump be started so that the tanker is emptied by 9 PM if the main pump is started at 5 PM.
Difference in times = 4 hours
That is main pump works for 4 hours and let auxiliary pump works for t hours.
We have
So auxiliary pump works for 2.4 hours,
It should be started at 9 - 2.4 = 6.6 PM = 6:36 PM
Auxiliary pump should be started at 6:36 PM
B=1.25 so i think im not so good with this but i try if its wrong nvr listen to me
Answer:
See below
Step-by-step explanation:
The ratio of the secants is the same when set up as full length to external length.
Formula
MN/LN = QN/PN
Givens
LN = 22 + 14 = 36
MN = 14
PN = 32
QN = x
Solution
14/36 = x / (32) Multiply both sides by 32
14*32 / 36 = x Combine 14 and 32
448/36 = x Divide by 36 and switch
x = 12.4
Answers
PN (External) = 13 is the closest answer
Length LN = 36