Both base and height of the sail is 40 1/2 feet.
A sail is triangular in shape. Finding the area of a triangle is multiplying its base and height and dividing the product by 2.
A = 1/2 bh
Area = 40 1/2 or 40.50 sq. ft
Since base and height are equal.
40.50 x 2 = 81
bh = 81
bh = 81 ÷ 2
b = 40 1/2 ft
h = 40 1/2 ft
16 divided by 125 is .128
125 plus 75 is 200
.128 multiplied by 200 is 25.6 days
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)
Answer:
5 * 2 is 10 + 5 and then 15 * 2 + 15 45 * 2 + 45
Step-by-step explanation:
times it by to add that number
Answer:
A)y=9x+5
Step-by-step explanation:
If x=-1, y=-4,
y=9*-1+5=(-9)+5=-4
If x=0, y=5,
y=9*0+5=5
