Answer:
Area =100 in^2
Step-by-step explanation:
scale factor of the triangles is :15/21=5/7
if two similar shape has a scale factor a/b then the area is a^2:b^2
area of first shape/area of second shape=5/7
x/196=(5)²/(7)²
49x=4900
x=4900/49=100
area=100
check: 100/196=25/49=a^2/b^2
i hope it is right
SOLUTION:
We are to calculate the shaded area of the given shape.
CONCEPT:
This is a triangle that a rectangle was cut out from.
To calculate the shaded area of the given shape, we are to find the area of the triangle and then subtract the area of the recangle that was cut out.


The shaded area = Area of the triangle - Area of the rectangle
Answer:
4
Step-by-step explanation:
Factor of 8n = 2x2x2n
Factor of 12m = 2x2x3m
GCF = 2x2 = 4




For either square root to exist, you require that

. This is true for all

, since

is always non-negative. This means the domain of

as a function of

is all real numbers, or

or

.
Now, because

is non-negative, and the smallest value it can take on is 7, it follows that the minimum value for the positive square root must be

, while the maximum value of the negative root must be

. This means the range is

, or

, or
![(-\infty,-\sqrt7]\cup[\sqrt7,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-%5Csqrt7%5D%5Ccup%5B%5Csqrt7%2C%5Cinfty%29)
.