Answer:
5 centimetres = 1 kilometre
Step-by-step explanation:
First add up the distances measured on the map.
1.1+4.8+2.2+3.4=11.5 cm
Based on this, since the number of cm is greater than the number of km, we can figure out that each cm should not be multiplied to get the km, so we can eliminate the first two answers.
Next write an equation to represent finding the scale
x=scale
11.5=2.3x
Now solve for the scale
11.5/2.3=2.3x/2.3
5=x
Therefore the scale is 5 centimetres = 1 kilometre
The second choice! I hope my math is right!
A football field is 120 yards long (100 yards playing field plus 2 end zones 10 yards each) by 53 1/3 yards wide.
1 yard = 3 feet.
120 yards x 3 feet per yard = 360 feet
53 1/3 yards x 3 = 160 feet.
The area of the football fields is 360 x 160 = 57,600 square feet.
1 bag covers 2000 square feet:
57,600 / 2,000 = 28.8 bags, round up to 29 bags are needed.
1 bag cost $27.79.
29 bags x $27.79 = $805.91 total cost.
Answer:
30 degrees
Step-by-step explanation:
u dot v=1*4+1*4+1*4+0*4=4+4+4+0=12
|u|=sqrt(1^2+1^2+1^2+0^2)=sqrt(3)
|v|=sqrt(4^2+4^2+4^2+4^2)=sqrt(4*4^2)=2*4=8
cos(theta)=u dot v/(|u||v|)
cos(theta)=12/(sqrt(3)*8)
cos(theta)=3/(sqrt(3)*2)
cos(theta)=sqrt(3)/2
theta=30 degrees
