Answer:
H=6 sin 30=3cm
Step-by-step explanation:
3²+x²=6²
X²=36-9
√x²= 27
X=5.1962
Per=6+5.1962+3= 15.1962cm
Hello! I can help you with this! Do -75/5 to get -15. -15 will be your middle number. So for consecutive integers, -13 + -14 + -15 + -16 + -17 = 75. Those are five consecutive integers that have a sum of 75. The lowest of 5 integers is -17, because it’s the smallest of them all and the furthest to the left of the number line. A line further to the left of the number line means it’s smaller. Therefore, the rest of the five integers is -17.
Answer:
Speed = 13.0m/s
Step-by-step explanation:
Given that velocity, v = (ai ± bj)m/s.
Because speed is scalar and has only magnitude, we can obtain it from the velocity by calculating only the magnitude given as:
...Equation 1
From the question, we were given the position vector, r
The velocity can be obtained by differentiating r with respect to time, t
We have that differentiation of a constant is 0.
![v = \frac{dr}{dt} = \frac{d}{dt}[(2.0+5.00t)i + (3.0 - 3.00t^{2})j] \\\\v = 0 + 5.00i + 0 - (6.00t)j](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%5B%282.0%2B5.00t%29i%20%2B%20%283.0%20-%203.00t%5E%7B2%7D%29j%5D%20%20%20%5C%5C%5C%5Cv%20%3D%200%20%2B%205.00i%20%2B%200%20-%20%286.00t%29j)
At time t = 2.00s,
![v = 5.00i - (6.00*2.00)j = 5.00i - 12.00j](https://tex.z-dn.net/?f=v%20%3D%205.00i%20-%20%286.00%2A2.00%29j%20%3D%205.00i%20-%2012.00j)
To obtain the speed, we use equation 1
![Speed = \sqrt{(5.00)^{2} + (12.00)^{2} } = \sqrt{25 + 144} \\ \\Speed = \sqrt{169} = 13.00m/s](https://tex.z-dn.net/?f=Speed%20%3D%20%5Csqrt%7B%285.00%29%5E%7B2%7D%20%2B%20%2812.00%29%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B25%20%2B%20144%7D%20%5C%5C%20%5C%5CSpeed%20%3D%20%5Csqrt%7B169%7D%20%3D%2013.00m%2Fs)
<em>Therefore, the speed of the object at time t = 2.00s is 13.00m/s</em>
Answer:
40
Step-by-step explanation:
P (3) = number of 3's on a die/ total sides on a die
P(3) = 1/6
To get the number of times she gets a 3, multiply by probability by the number of total rolls
240*1/6 = 40
She should expect 40 rolls with a 3
Answer:
Try 5 first. If that is marked wrong, try 5.07
Step-by-step explanation:
Estimate means put your calculator on the other side of the room. You are to do this in your head.
78 is nearly 80
69 is nearly 70
29 is nearly 30
So now do the question
80 + 70 = 150 because 8 and 7 = 15.
150 / 30 = 50 because 15/3 = 5
So the answer that should be right for this question should be 5
Let's see how close that is.
78 + 69 = 147
147 / 29 = 5.07