Answer:

Step-by-step explanation:
Hello,
I am going to start with to change to a improper fraction:
1. I will convert 6 and 9/10 into a improper fraction:

2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.

3. Now I can simplify this value and convert it into a mixed fraction

After further simplifying I can convert this into an mixed number
Answer:2.4km/hr
Step-by-step explanation:
Speed = distance/time
Speed =4.6/2
Speed=2.3km/hr
Answer:
13 : 20
Step-by-step explanation:
Given that:
- 40 kids choose swimming
- 24 choose music
- 16 choose art
So the ratio of kids who choose music to kids who choose swimming:
Number of kids choose music : Number of kids choose swimming
26 : 40
= 13 : 20
Hope it will find you well
3.122
The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.
Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK
This means MLJ = 31 degrees since they add up to 61 degrees.
Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.
3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL =

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.
Tan(angle) = opp/adj
Tan(31) = MJ/


Tan(31) = MJ
3.122 = MJ
Answer:
a,
Step-by-step explanation: