0.373 seconds. First, calculate the initial vertical velocity of the shell. 800sin(30) = 800*0.5 = 400 m/s Now the formula for the distance traveled is d = 400 m/s * T + 0.5A T^2 Substituting known values gives. 150 = 400 m/s * T + 0.5*9.80m/s^2 T^2 150 = 400 m/s * T + 4.9 m/s^2 T^2 Arrange as a quadratic formula 0 = 400 m/s * T + 4.9 m/s^2 T^2 - 150 4.9 m/s^2 T^2 + 400 m/s * T - 150 = 0 Now solve for T using the quadratic formula with a=4.9, b=400, and c=-150 The calculated value is 0.373 seconds. Is this value reasonable? Let's check. The initial downward velocity is 400 m/s. So 150/400 = 0.375 seconds. Since the actual time will be a bit less due to acceleration by gravity and since the total time is so short, there won't be much acceleration due to gravity, the value of 0.373 is quite reasonable.
Answer:
The 61st term would be 495
Step-by-step explanation:
In order to find the 61st term, you need to find the rule for the sequence. You'll notice that the numbers are going up by 8. Since there is no 0th term, the first term would be 8 more than the base.
15 - 8 = 7
Therefore the base is 7. As a result, you can model the sequence as:
An = 8n + 7
In which n is the number in the sequence. Now knowing this, we can plug in 61 and get the answer.
An = 8n + 7
An = 8(61) + 7
An = 488 + 7
An = 495
transversal angles
Step-by-step explanation:
When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles . When the lines are parallel, the corresponding angles are congruent .
Answer:
£10200
Step-by-step explanation:
£6000x7%= £420
£420x10= £4200
£6000+£4200= £10200
Answer:
15.79%
Step-by-step explanation:
do 95-80 which is 15
then do 15/95 as a fraction then multiply that number by 100 to get 15 15/19 then turn that into a decimal and you get 15.79%
