Answer:
The constant of proportionality is 12.
Step-by-step explanation:
Let's take a look at the formula give to us:
48=4k
First, we have to isolate the variable, K, by dividing 4 on both sides.
48/4=4/4 k
48/4=12
12=k
We can check the answer by plugging it back into the equation:
12*4=48
48=48
Hence, the variable k equals 12.
Answer:
22 divided 5 I would think
Step-by-step explanation:
Answer:

Step-by-step explanation:
We have given the equation y = 6 sin (x)
On differentiating both side 
As it passes through the point 
So 
Now the unit vector is parallel to the tangent so m will be 5.196
This passes through the point 
So unit vector will be 

I believe the answer is True ! Hope this helps you
Answer:
The side s has a length of 4 and side q has a length of 4
⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 :
: 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 :
: 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 =
× 8
∴ 2q = 8
→ Divide both sides by 2
∴ q = 4
∴ The length of q is 4