If so then it is not rational Square root of 2 is irrational and any number formed by multiplying or dividing it by a rational number is also irrational.
Answer:
10800
Step-by-step explanation:
The number of bacteria in a colony growing exponentially. At 4 pm yesterday the number of bacteria is 400.And at 6 pm yesterday it was 3600. How many bacteria in the colony at 7 pm?
Step-by-step explanation:
B = B₀ Kⁿ
At 4 pm yesterday the number of bacteria is 400
B₀ = 400
n = number of hrs
at 6 pm yesterday it was 3600 => n = 6- 4 = 2 hrs
B₂ = 3600
=> 3600 = 400 * k²
=> k² = 9
=> k = 3
At 7 Pm Yesterday
n = 7-4 = 3
B₃ = 400 * 3³
=> B₃ = 27 * 400
=> B₃ = 10800
bacteria in the colony at 7 pm = 10800
or B₂ = 3600 & n = 7-6 = 1
Then B₃ = 3600 * 3¹ = 10800
And boom here
The image of the diagram is missing, so i have attached it.
Answer:
a = 30°
Step-by-step explanation:
From the diagram attached, we can see that the 2 angles a and 5a are interior supplementary angles.
The sum of interior supplementary angles is 180°
Thus;
5a + a = 180
6a = 180
a = 180/6
a = 30°
Answer:
Step-by-step explanation:
<u>Find the intersection of circles</u>
- x² + y² + 2x = 0 and
- x² + y² - 3y = 0
<u>Subtract the equations to find:</u>
<u>By substitution find the points:</u>
- (0, 0) and (-1.385, 0.923)
<u>Find midpoint between these two points:</u>
- x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615
<u>Find perpendicular bisector passing through this point:</u>
- y - 0.4615 = 3/2(x + 0.6925)
- y = 1.5x + 0.4615 + 1.5(0.6925)
- y = 1.5x + 1.50025
<u>Find intersection of the lines, it is the center:</u>
- y = 1.5x + 1.50025
- x + 2y + 8 = 0
<u>Solving we get:</u>
<u>Find radius, the distance from center to point (0, 0) and get equation of circle:</u>
- (x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²
- x² + 5.5x + y² + 5.25y = 0
- 4x² + 22x + y² + 21y = 0
- 4x² + 4y² + 22x + 21y = 0
Answer:
17734.55 inches cubed. If you found this helpful, love the answer! Thank you :D
Step-by-step explanation:
Very simple. We find the area of the circle, A=Pi Radius Square.
So 3.14 (15x15)
A≈706.86
The bottom shape is 706.86x24=16964.64
The top is a cone, meaning its V≈3769.91
So 3769.91+16964.64=17734.55
You may want to double check later with other peoples answer!