Answer:
The correct option is C
Step-by-step explanation:
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year
Let x = the attendance for last year
The projected attendance for this year would be last year's attendance + 25% of last year's attendance. This means
Projected attendance for this year
= x + 25/100 × x
= x + 0.25x = 1.25x
But attendance for this year actually decreased by 20 percent.
This means the actual attendance for this year would be
attendance for last year - 20% of attendance for last year. This means
Actual attendance for this year is
x - 20/100 × x
= x - 0.2x = 0.8x
percentage of the projected attendance that was the actual attendance would be
0.8x / 1.25x × 100 = 0.64 × 100
= 64%
The correct option is C
Step-by-step explanation:
DEFINITION: Besting: the clockwise totation (0° to 360°) from North to any line.
A) Calculate the bearings of D from A:
bearings of D from A =x
looking the picture:
x=48°+55°+180°
x+103°+180°
x=283°
B)Calculate the bearings of A from C:
bearings of A from C =y
180°+55°=y
y=235°
C) Calculate the distance between A and B:
The angle in B is 74° (Because 55°+51°+74°=180°)
Using the Law of sines:
D)Calculate the distance between D and C:
Using the Law of cossines:
E) A Helicopter is hovering at A at a height of 2.5Km, find angle of elevation of helicopter from C:
The triangle HBA is rectangle
α=7,49°
1/2(-14x + 14) + 14x
<em><u>Distributive property.</u></em>
-7x + 7 + 14x
<em><u>Combine like terms.</u></em>
7x + 7 (This is the simplified answer.)
11. the average is 87
12. the median is 87
13. the mode is 85
14. is range 24
