Try this solution:1. to make up the characteristic equation:α²+5α=0;
2. to make up the final answer:y=C₁+C₂e⁻⁵ˣ
Answer:
468.4 meters
Step-by-step explanation:
Find the width of the rectangle.
The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.
A=length*width
8,400=140*width
60= width
Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle.
The circumference of a circle is equal to pid, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.
So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.
≈188.4
(2 times 140)+ 188.4
So, the perimeter of the track is 468.4 meters.
Answer:
55 days
Step-by-step explanation:
Given
Jim ran 15 miles in 5 days
no. of miles ran in 5 days = 15 miles
dividing LHS and RHS by 5
no. of miles ran in 5/5(=1) days = 15/5 miles = 3 miles
no. of miles ran in 1 day = 3 miles
let the no. of days taken to run 165 miles be x ----A
No of miles ran in x days = x*no. of miles ran in 1 day = 3x miles
thus, From A
3x = 165
x = 165/3 = 55
Thus, it took 55 days for JIM to run 165 miles
<u>The probability that the marble will be blue if he shakes the bag and when you puts his hand into the bag, to move it around and probably he'll get the blue marble.</u>
<em>Hopefully, it correct.... :)</em>
0.016 as a fraction is 16/1000 and in simplest form it is 2/125.
An easy way to figure out the fraction of a decimal is by the decimal places. As we can see, there are four numbers in our decimal (0.016).
The first decimal place = ones
The second decimal place = tenths
The third decimal place = hundredths
The fourth decimal place = thousandths
We stop at the thousandths place, so basically, take 16 and put it over 1000, which looks like 16/1000.
