Answer:
15. 88%
Step-by-step explanation:
I did division
89 tens because 8 x10 is 80 add the 9
89
Since you know the amount of what she earns you would use the number 15 and you dont know how long she worked you would put "x" next to the 15. so you would have 15x and then put a plus 5 to show her transportation fee. so you would have the equation of 15x+5:) and instead of x use h to show hours because h=hours
you feel me?
great!
Answer:
The perimeter of the p triangle = 38.4 cm
Step-by-step explanation:
Given
The perimeter of a triangle z be = 48 cm
The triangle is dilated by a scale factor of 0.8
To determine
What is the perimeter of the triangle after it is dilated by a scale factor of 0.8?
- As the scale factor < 1, it means the new perimeter will be reduced.
The new perimeter of the triangle p can be calculated by multiplying the perimeter of the original triangle z by 0.8
i.e.
Perimeter of triangle p = 48 × 0.8 = 38.4 cm
Therefore, the perimeter of the triangle p is = 38.4 cm
Answer:β=√10 or 3.16 (rounded to 2 decimal places)
Step-by-step explanation:
To find the value of β :
- we will differentiate the y(x) equation twice to get a second order differential equation.
- We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β
y(x)=c1cosβx+c2sinβx
we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.
Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate βx in each case and multiply with the differential of c1cosx and c2sinx respectively.
lastly the differential of sinx= cosx and for cosx = -sinx.
Knowing all these we can proceed to solving the problem.
y=c1cosβx+c2sinβx
y'= β×c1×-sinβx+β×c2×cosβx
y'=-c1βsinβx+c2βcosβx
y''=β×-c1β×cosβx + (β×c2β×-sinβx)
y''= -c1β²cosβx -c2β²sinβx
factorize -β²
y''= -β²(c1cosβx +c2sinβx)
y(x)=c1cosβx+c2sinβx
therefore y'' = -β²y
y''+β²y=0
now we compare this with the second order D.E provided in the question
y''+10y=0
this means that β²y=10y
β²=10
B=√10 or 3.16(2 d.p)
