1yd is 12 ft
So do 12-1=11.
11 is the answer
The only values a cosine can have are from -1 to 1.
Answer: The distace between midpoints of AP and QB is .
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ =
QB =
Substituing:
AP + 2*() = a
2AP = a
AP =
Since the distance is between midpoints of AP and QB:
2QB = AP
QB =
QB =
QB =
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:
<u>Midpoint of QB</u>:
The distance is:
d =
d =
Answer:
$3 max
Step-by-step explanation:
Charge= b, Customer= c, Revenue= r
r= bc, currently, r= 16*10= $160
We know that: b+1 ⇒ c-2 and the target is r ≥ 130
So, this will all be reflected as:
b=10+x ⇒ c= 16-2x
- (10+x)(16-2x) ≥ 130
- 160 -20x +16x - 2x² ≥ 130
- -2x² - 4x + 30 ≥ 0
- x² + 2x -15 ≤ 0
- (x+1)² ≤ 4²
- x+1 ≤ 4 (negative value not considered)
- x ≤ 3
As we see the max increase amount is $3, when the revenue will be:
(10+3)*(16-3*2)= 13*10= $130
Answer:
Step-by-step explanation:
Given:
To make the subject of the formula means that we want to make to stand alone , the first thing to do is to multiply through by 1/4a , that is
take the square of both sides: