Answer:
The effect of doubling all the dimensions of a triangular pyramid will have on the volume of the pyramid is to increase it by 8 times.
Step-by-step explanation:
i) volume of triangular pyramid = 
Area height
= (Base of triangle perpendicular height of triangle) height
ii) if we double all the dimensions then the three variables((Base of triangle, perpendicular height of triangle, height of pyramid) will be doubled
and the volume of the new pyramid will be 8 times that of the original one.
The side lengths of the pool 10 ft and 45 ft.
<u>SOLUTION:
</u>
Given, a rectangle swimming pool is 8 feet deep.
One side of the pool is 4.5 times longer than the other.
Let the length of pool be n feet, the width will be 4.5n feet
The amount of water needed for the swimming pool is 3600 cubic ft
We have to find the dimensions of the pool. Now, we know that,
On taking square root on both sides we get,
So, the width will be 
Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem
Taking square root on both sides
Hence,
Length of diagonal of picture = 15.30 inches
Associative property is only applied to addition and multiplication. Thus, it can't be applied to subtraction. This property is manifested when you get the same answer no matter where you put the parenthesis. Example of associative property is:
(50 + 2) + (92 + 6) = 52+98 = 150
50 + (2+92) + 6 = 50 + 94 + 6 = 150
Here is the counter example for the subtraction of decimals:
(3.45 - 8.92) - (1.9 - 7.3) = -5.47 - ⁻5.4 = -0.07
3.45 - (8.92 - 1.9) - 7.3 = 3.45 - 7.02 - 1.9 = -5.47
As you can see, the answers are not the same.
Ax+3=7-bx
Ax=4-bx
A=4-bx/x
Ax+3=7-bx
Ax-4= -bx
Ax-4/x= -b
-Ax+4/x=b
b= -Ax+4/x
