Answer:
98 ft²
Step-by-step explanation:
There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...
A = (1/2)(14 ft)(14 ft) = 98 ft²
Of course the area of the square from which it is cut is ...
A = (14 ft)² = 196 ft²
So, the net area of the two triangles shown is ...
A = (196 ft²) - (98 ft²) = 98 ft²
_____
Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...
A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)
We can factor out 7 ft to get ...
A = (7 ft)(x ft + (14 -x) ft)
A = (7 ft)(14 ft) = 98 ft²
Answer: A) -1.026x2 + 1016.402x - 162075
Step-by-step explanation: I aced the test on e2020 ;)
The given equation is of the form y = m x + b where m is the slope and b is the y intercept that is value of y when x =0 , or we can say b is the initial value.
In the given equation which is y = 4t+2, on comparing we will get m =4 that is slope is 4 and here slope represents the rate or speed and 2 is the y intercept that is b. And 2 represents the initial position that is, the ant is 2 units from the home initially .
Step-by-step explanation:
b
Answer:
900 cm²
Step-by-step explanation:
Perimeter of a rectangle is given by
P=2(l+w)
Where l and w are length and width respectively.
Substituting P with 120 cm
120=2(l+w)
Divide both sides by 2
60=l+w
Making w the subject of formula
w=60-l
Area, A=lw
Substitute w with 60-l
A=l(60-l)=60l-l²
Since A=60l-l²
Get the first derivative of A with respect to l
0=60-2l
l=60/2=30
Therefore, w=60-l=60-30=30
The length abd width are both 30cm. This is a square and a square is also a type of rectangle since it has four sides.
Area=30*30=900cm²
