Using the side of the square find the area:
Area = 30^2 = 900 square feet.
The rectangles area is the same, 900 square feet.
Let the width = X
The length would be 2X + 70
Area = length x width
X * 2x+ 70 = 900
This expands to 2x^2 * 70x = 900
Use the quadratic formula to solve for x:
-70 +/- sqrt(70^2-4*2(-900))/2*2
X = 10
Width = x = 10 feet
Length = 2x + 70 = 90 feet
Step-by-step explanation:
1)
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
therefore,
c2 = (10)2 in + (24)2 in
c2 = 100 + 576
c2 = 676
c = √676
c = 26
Answer:
C.
Step-by-step explanation:
maths
22%
Step-by-step explanation:
This event that's taking place is happening twice. The event is the mail getting delivered. It's happening two times. Luckily, you already know the probability of it happening once. Because it happens twice, you just square it. (0.9)^2. 0.81 chance of it happening in two consecutive days.
In general, nCr = n! / r! (n-r)!
Here, 7C3 = 7! / 3!(7-3)!
=7 x 6 x 5 x 4 x 3 x 2 x 1 /3 x 2 x 1 ( 4 x 3 x 2 x 1)
=7x6x5x4 / 4x3x2
=7x5x6x4 / 24
=35x24 / 24
=35