^ means to the power of or exponent
logb(x) = y is b^y = x
A. Area of ABCD - Area of DGA = Area of DEFG
s^2 - 1/2bh = s^2
(5)^2 - 1/2(4)(3) = (3)^2
25 - 1/2(12) = 9
25 - 24 = 9
1 not equal to 9
B. Area of ABCD - Area of GHIA = Area of DGA
s^2 - s^2 = 1/2bh
(5)^2 - (4)^2 = 1/2(4)(3)
25 - 16 = 1/2(12)
9 not equal to 6
C. Area of ABCD + Area of DGA = Area of GHIA
s^2 + 1/2bh = s^2
(5)^2 + 1/2(4)(3) = (4)^2
25 + 1/2(12) = 16
25 + 6 = 16
31 not equal to 16
D. Area of DEFG + Area of GHIA = Area of ABCD
s^2 + s^2 = s^2
(3)^2 + (4)^2 = (5)^2
9 + 16 = 25
25 = 25
The answer is D.
Answer:
1st pic:
step 2.
2nd pic:
Rene should add, not multiply 2 volumes.
The correct answer is 48+216 =264
3rd pic:
a, for blue prism: V = Area of base x Height = 48 x a =720
=> a = 720/48 = 15
b, for orange prism: V = Area of base x Height = (12xb)/2 x 15 =720
=> b =(720x2)/(15x12)= 8
The answer to this question is A. 3
Answer:
w =
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
Before we start the solving, we can make the following statements:
Area = l x w
Area = 5x + 25
therefore,
l x w = 5x + 25
Since the question states that the length is x more than the width, so we can make the following statement:
w = l + x
With this, we can substitute it to the first statement we made, l x w = 5x + 25,
l x (l + x) = 5x + 25
+ lx = 5x + 25
lx - 5x = 25 -
x(l - 5) = 25 -
x =
From this, we can find w by substituting it in the statement we made earlier, w = l + x,
w =