Answer:
2.7
Step-by-step explanation:
ratios help
2.5 : 5.8 :: x : 6.2
2.5/5.8 = x/6.2
solve for x :
x = approx. 2.7
Answer:
15.0
Step-by-step explanation:
Let's start by looking at triangle ORQ. Since RQ is tangent to the circle, we know that angle ∠ORQ is 90°. Then, since OR is equivalent to the radius of 5, RQ is 5√3, and side OQ is clearly larger than RQ, we can identify this as a 90-60-30 degree triangle. This makes side OQ have a length of 10, and angle ∠QOR, opposite of the second largest side, has the second largest angle of 60°, leaving ∠OQR with an angle of 30°.
The formula for the chord length is 2r*sin(c/2), with c being the angle between the two points on the circle (in this case, ∠QOR=∠NOR).. Our radius is 5, so the length of chord NR is 2*5*sin(60/2)=5, making our answer 5(ON)+5(OR)+5(RN)
Answer: The car has to sell for $20000
Step-by-step explanation:
Let x represent the price that the car would have to sell for in order for these two job opportunities to pay Jim the same amount.
Ace Cars says they will pay Jim a 10% commission on the sale price of each car. It means that his pay would be
10/100 × x = 0.1x
Budget Cars says they will pay him $500 per week plus a 7.5% commission on the sale price of each car. It means that his pay would be
500 + 0.075x
For boths pays to be the same, it means that
0.1x = 500 + 0.075x
0.1x - 0.075x = 500
0.025x = 500
x = 500/0.025
x = 20000
The car has to sell for $20000
