The answer would be 4 over 5 or 4/5
Answer: AC=12 cm
Step-by-step explanation:
To solve this problem you must apply the law of sines, as you can see below:

Where:
a=13
A=85.2°
B=71.6°
Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

Answer:


Step-by-step explanation:
<u>Scientific notation</u>
where:
is any positive or negative <u>whole number</u>.
To convert a number into scientific notation, <u>move</u> the decimal point to the <u>left or right</u> until there is <u>one digit</u> to the left of the decimal point.
The number of times you have moved the decimal point is
.
- If the decimal point has moved to the <u>left</u>,
is positive. - If the decimal point has moved to the <u>right</u>,
is negative.
To convert 500,000,000,000 into scientific notation, move the decimal point <u>11 places to left</u>, so a = 5. As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is <u>positive</u>.

To convert 0.00000000005 into scientific notation, move the decimal point <u>11 places to the right</u>, so a = 5. As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is <u>negative</u>.

Learn more about scientific notation here:
brainly.com/question/28235385
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)