Answer:
In the trapezoids ABCD and RSPQ,
Angles A, B, C and D are corresponding to the angles R, S, P and Q respectively,
Also, the sides AB, BC, CD and DA are corresponding to the sides RS, SP, PQ and QR respectively.
Since, when two figures are congruent to each other then their corresponding sides and angles are also congruent.
Here, trapezoids ABCD and RSPQ are congruent.
Therefore, AB≅RS, AB≅RS, AB≅RS, AB≅RS
And, ∠A ≅ ∠R, ∠B ≅∠S, ∠C≅∠P, ∠D≅∠Q
Answer: There are 6400 bacteria that will be present after 3 hours.
Step-by-step explanation:
Since we have given that
Initial number of bacterial cells = 100
Each cell divides to form two new cells every 30 minutes.
Number of hours = 3 hrs
Number of minutes in 3 hours = 3\times 60 = 180 minutes
Number of 30 minutes in 3 hours =
So, our equation becomes,
Hence, there are 6400 bacteria that will be present after 3 hours.
Answer:
≈ 0.9 cm²
Step-by-step explanation:
I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.
F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.
Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,
F(x,2)
(2-3) / (x-1) = -2/3
2x-2 = 3 x = 2.5
*<u>F (2.5 , 2</u>)
G (3,y)
(y-3) / (3-1) = -2/3 y = 5/3
*<u>G (3 , 5/3)</u>
*<u>point I (3 , 2</u>)
segment FI = 3-2.5 = 0.5 = 1/2
segment GI = 2 - 5/3 = 1/3
area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083
area of polygon DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²
