Answer:
d = 5.10
Step-by-step explanation:
The distance between two points is given by
d = sqrt( ( y2-y1)^2 + ( x2-x1)^2 ) where ( x1,y1) and ( x2,y2) are the two points
d = sqrt( ( 5-6)^2 + (8-3)^2 )
d = sqrt( ( -1)^2 + (5)^2 )
d = sqrt( 1+25)
d = sqrt(26)
d = 5.099019514
Rounding to the nearest hundredth
d = 5.10
To find the car tax, you first have to convert 9.95% to a decimal not a percentage. To do this, you move the decimal 2 places to the left to get 0.0995.
Then you multiply 0.0995 by 34,900 (because it is 0.0995 of the car price) to get $3,472.55. This is the car tax in dollars.
Finally, you add $3,472.55 to the car price of $34,900 to get a total price of $38,372.55.
Answer:
{3x-7 [-10, 10, -5, 5]}
Step-by-step explanation:
Step-by-step explanation:
a. y-y1/y2-y1=x-x1/x2-x1
y+9/-5+9=x-9/10-9
y+9/4=x-9/1
y+9/4=x-9
b. y+9=4(x-9)
y+9=4x-45
y-4x=-45-9
y-4x=-54
9514 1404 393
Answer:
- cable length: 300.2 ft
- anchor distance: 193.0 ft
Step-by-step explanation:
The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.
Sin = Opposite/Hypotenuse
sin(50°) = (230 ft)/h
h = (230 ft)/sin(50°) ≈ 300.24 ft
The length of the cable must be about 300.2 feet.
__
Tan = Opposite/Adjacent
tan(50°) = (230 ft)/d
d = (230 ft)/tan(50°) ≈ 192.99 ft
The cable must be anchored about 193.0 ft from the tower.
