Answer:
t = 24
Step-by-step explanation:
Given that t varies inversely with a then the equation relating them is
t = 
← k is the constant of variation
To find k use the condition t = 2 when a = 36, that is
2 = 
( multiply both sides by 36 )
72 = k
t = 
← equation of variation
Given a = 3, then
t = 
= 24
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
Answer:
2
Step-by-step explanation:
![f( \frac{1}{4} ) = {16}^{ \frac{1}{4} } = \sqrt[4 ]{16} = 2](https://tex.z-dn.net/?f=f%28%20%5Cfrac%7B1%7D%7B4%7D%20%29%20%3D%20%20%7B16%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%3D%20%20%20%5Csqrt%5B4%20%5D%7B16%7D%20%20%3D%202)
That's it, hope you enjoyed it.
9514 1404 393
Answer:
c. $20.23
Step-by-step explanation:
The overhead cost per labor hour is found by dividing overhead costs by labor hours:
$163,900/(8100 h) = $20.23 /h
The factory overhead rate is $20.23 per labor hour.
Most textbooks interpret standard form of a quadratic function to be as follows:
f(x) =
In the function f(x) =
, notice we do not have a value for "c". Just place a "0" in for the c and you have standard form.
the criteria for standard form:
1. All like terms are combined
2. Degree must drop from left to right
3. The leading coefficient cannot be equal to zero.
