Answer:
$4,780
Step-by-step explanation:
20% x 23,900= 4,780
Answer:
67.38°
Step-by-step explanation:
The diagonals of a rhombus intersect at their midpoints and make a right angle. They also divide the angles of the rhombus in two equal angles.
So, to find the acute angle of the rhombus, we can use the tangent relation of half this angle in the small triangle made when drawing the diagonals:
tan(angle/2) = 4 / 6
tan(angle/2) = 0.666
angle/2 = 33.69
angle = 67.38°
So the acute angle of the rhombus is 67.38 degrees.
Please check the image attached for better comprehension.
We have been given that a culture of bacteria has an initial population of 22,000 bacteria and doubles every 5 hours. Using the formula
, where P(t) is the population after t hours,
is the initial population, t is the time in hours and d is the doubling time.
We are asked to find the population of bacteria after 17 hours.
First of all, we will substitute our given values in doubling life formula as:

Now to find population of bacteria after 17 hours, we will substitute
in our formula as:





Therefore, the bacteria population will be 232,233 after 17 hours.
Answer:
x = -2
Step-by-step explanation:
Arrange 6x + y= -5, -6x + 12y=96 vertically:
6x + y= -5
-6x + 12y=96 Now combine like terms:
--------------------
13y = 91
Solving for y by dividing both sides by 13: y = 7
Find x by substituting 7 for y in the second equation: -6x + 12(7) = 96
Then -6x = -84 + 96, or:
-6x = 12, and so x = -2
1:2 heads 4:6 less than 5 so 4:12