Answer:
1,350 square cm
Step-by-step explanation:
As we all know, we have to square a dimension of length to get the dimension of an area
So in this case, since the dimension of the length is increasing by a factor of 3, the dimension of the area will be increasing by a factor which is square the factor by which the dimension of the side is increasing
Thus, we have the area dimension increase by a factor of 3^2 = 9 times the area of the smaller
nonagon
So the area of the bigger nonagon will be :
150 * 9 = 1,350 square cm
The answer would be 5 cups
The answer is: B. ΔABC ≅ <span>ΔDEF. </span>
Answer:
13
Step-by-step explanation:
x + 6 = ?
[Replace x with 7]
7 + 6 = 13
√10x-24 = x
Step by step solution :
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√10x-24 = x
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√10x-24)2 = (x)2
After squaring
10x-24 = x2
STEP
3
:
Solve the quadratic equation
Rearranged equation
x2 - 10x + 24 = 0
This equation has two rational roots:
{x1, x2}={6, 4}
STEP
4
:
Check that the first solution is correct
Original equation
√10x-24 = x
Plug in 6 for x
√10•(6)-24 = (6)
Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6
STEP
5
:
Check that the second solution is correct
Original equation
√10x-24 = x
Plug in 4 for x
√10•(4)-24 = (4)
Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4