Answer:
x = 8
Step-by-step explanation:
Formula for sum of interior angles is 180(n - 2)
For a 5 sided polygon the sum is;
180(5 - 2) =540°
The supplement of ∡ 59° = 180° - 59° = 121°
The supplement of ∡ 77° = 180° - 77° = 103°
The supplement of ∡ 66° = 180° - 66° = 114°
The supplement of ∡ 62° = 180° - 62° = 118°
The sum of the polygon is:
121° + 103° + 114° + 118° + (180 - 12x)° = 540°
456° + (180 - 2x)° = 540°
(180 -12x)° = 540° - 456° = 84°
12x = 180° - 84° = 96°
x = 96/12 = 8
15t + <35> j (price * count sold)
Cost = <4.5>t + 5 j + 150
Profilt = Revenue - Cost = (15t + <35>j) - (<4.5>t + 5j + 150)
= 15t + <35>j - <4.5>t < - >5j - 150
= 50t - -9.5j - 150
Answer:
Height of building is 115.86 m.
Step-by-step explanation:
This is problem of proportion.
a:b = c:d
____________________________________________________________
height of pole = 3.3 m
length of shadow of pole = 1.36 m
ratio
height of pole: length of shadow of pole = 3.3 : 1.36
________________________________________________
let the height of building= x m
length of shadow of building= 47.75 m
ratio
height of building: length of shadow of building= x: 47.75
ratio in both the cases will be same
thus,
x/47.75 = 3.3 / 1.36
=> x = 3.3 / 1.36 * 47.75 = 115.86
Thus, height of building is 115.86 m.
Hello from MrBillDoesMath!
Answer:
Cchoice B is the correct answer.
Discussion:
As stated by an earlier respondent, choice B is the correct answer. But why?
From the diagram, point B lies between 0 and 1 which means B is positive
From the diagram, point C lies between -1 and -2 which means C is negative
The quotient of a negative number by a positive number is negative, giving the answer as choice c
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
Answer:
The sigma notation would look like this:
∞
Σ 48(1/4)^i-1
i = 1
Step-by-step explanation:
I can't seem to find a good way to make it more connected so I'll just have to tell you. The ∞ is above the ∑, while the i = 1 is under it. That is all one thing. The rest is followed as normal, and it is all next to the ∑
