Answer:
37
Step-by-step explanation:
<span>a = (90-a)/2 - 18
this means that the angle equals half its complement minus 18 degrees.
this means the same as the angle equals 18 degrees less than half its complement.
solve for a.
equation is:
a = (90-a)/2 - 18
simplify by removing parentheses to get:
a = 90/2 - a/2 - 18
simplify further to get:
a = 45 - a/2 - 18
combine like terms to get:
a = 27 - a/2
add a/2 to both sides to get:
a + a/2 = 27
multiply both sides of the equation by 2 to get:
2a + a = 54
combine like terms to get
3a = 54
divide both sides of the equation by 3 to get:
a = 18
your answer should be that the angle is equal to 18 degrees.
if the angle is 18 degrees, then its complement is equal to 90 - 18 = 72 degrees.
half its complement is equal to half of 72 is equal to 36 degrees
18 degrees less than that is equal to 36 - 18 is equal to 18 degrees.
Your answer is that the measure of the angle is 18 degrees.</span>
Answer:
In first box: top left __7, in top right __4, on left top __9, left bottom __6.
In second box: top left __7, in top right __3, on left top __3, left bottom __5.
Step-by-step explanation:
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
Answer:
Step-by-step explanation:
let the number=x
5+2x≤27
2x≤25-5
2x≤20
x≤4
