It will float.. Sorry if i am wrong
Answer:
8
Step-by-step explanation:
use trig functions
2 sides and 1 angle given
Sides given
- hypotenuse -> x
- opposite side to 30˚ -> 4
Angle
trig function associated with hyp and opp is sin
sin(x) = opp/hyp
substitute
sin 30˚ = 4/x
solve for x
0.5 = 4/x
0.5x = 4
x = 8
In the sequence, the numbers are going down by -3. So the nth term must start with -3n. To get from -3 to 4 you must add 7. This makes the nth term -3n+7.
Answer:
Step-by-step explanation:
- The length of the segment JM is 25 units.
- The segment JL is between 0 and 12, so is 12 units.
- The segment KL is between 5 and 12, so is 7 units.
<u>The probabilities for each point:</u>
- P(point on JL) = 12/25
- P(point not on KL) = 1 - 7/25 = 18/25
<u>Required probability:</u>
- P = 12/25*18/25 = 216/625
Correct choice is D
Answer:
Step-by-step explanation:
<u>Ratios
</u>
We are given the following relations:
![a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B7%7D%2B%5Csqrt%7Bc%7D%5Cqquad%20%5Cqquad%5B1%5D)
![b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B63%7D%2B%5Csqrt%7Bd%7D%5Cqquad%20%5Cqquad%5B2%5D)
![\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bc%7D%7Bd%7D%3D%5Cfrac%7B1%7D%7B9%7D%20%5Cqquad%20%5Cqquad%20%5B3%5D)
From [3]:
Replacing into [2]:
We can express 63=9*7:
Taking the square root of 9:
Factoring:
Find the ration a:b:
Simplifying:
