Answer:
Triangle BDA
Step-by-step explanation:
Since triangle BDA seems to share congruent sides with triangle ACB they seem to be congruent
There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.
After putting back the first marble, the probability of drawing another red is again 5/11.
So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.
Answer:

Step-by-step explanation:
Given the indefinite integral
, using the substitute
x = 4 sec(θ)...1
The integral can be calculated as thus;
First let us diffrentiate the substitute function with respect to θ
dx/dθ = 4secθtanθ
dx = 4secθtanθdθ... 2
Substituting equation 1 and 2 into the integral function we will have;

Find the remaining solution in the attachment.
Step-by-step explanation:
letπ be the percentage of her savings
=40+85
=125
=125+π=100
=π=100-125
=π=75
Answer:
Step-by-step explanation:
From the given rectangle,
Length of the rectangle = 5 cm
Width of the rectangle = 10 cm
Ratio of length : width = 1 : 2
Perimeter of the rectangle = 2(l + b)= 150 cm
l + b = 75 -----(1)
Since, l : b = 1 : 2
b = 2l ------(2)
From equations (1) and (2),
l + 2l = 75
3l = 75
l = 25 m
Width 'b' = 2(25) = 50 m
Now we have to draw a rectangle with a scale = 25 : 2
Therefore, Scale factor = 
l = 2 cm
Similarly,

w = 4 cm
Now we can draw a rectangle with length = 2 cm and width = 4 cm.