Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,

...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.

Divide both sides by 6.


Put k=9.1 in (i).

Substitute A=260 in the above equation.

Divide both sides by 9.1.



Therefore, she need to work extra about 29 hours to earn an additional $260.
Answer:
172-602 I think
Step-by-step explanation:
To simplify the expression we are going to use the distributive property of multiplication:

.
We can infer from our problem that

,

, and

. So lets apply the property to simplify our expression:

We can conclude that the correct answer is <span>
-8x3 + 6x2</span>
sin(4π21). Explanation: Notice that this fits the form of the sine subtraction formula: sin(A−B)=sin(A)cos(B)−cos(A)sin(B).
Answer:
Step-by-step explanation:
Hey, this question concerns the inscribed angle theorem.
The formula for this is:
∠ABC = 2*∠ADC
∴ ∠ABC = 40°
For proof, look up 'inscribed angle theorem (or central angle theorem)' on YT.