9514 1404 393
Answer:
30°
Step-by-step explanation:
The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:
Sin = Opposite/Hypotenuse
For a ramp 1 m high and 2 m long, we have ...
sin(x) = (1 m)/(2 m) = 1/2
x = arcsin(1/2) = 30°
The elevation angle of the ramp needs to be 30°.
Let the number be x
2/3*x - 2 = 10
or, 2/3 * x =12
or x= 12*3/2
or, x = 18
To do this, change into common denominators. The common denominator is 21 so change the problem from 1/3 + 1/7 to 7/21 + 3/21. This gives you 10/21. It is already in simplest form.
For a set of trials
. In this case our desired out come is all multiples of 3: 3,6,9 and 12. The total number of outcomes can be found as 100 by adding up all the frequencies. Thus our experimental probability is
.
