Answer:
The length of the third side is between 16 inches and 64 inches.
Step-by-step explanation:
The length of a side of a triangle is between the sum and the difference of the lengths of the other two sides.
First, we need both sides in the same units. Let's convert feet to inches.
2 ft * (12 in.)/(ft) = 24 in.
The sides measure 24 inches and 40 inches.
Now we add and subtract the two lengths.
40 in. + 24 in. = 64 in.
40 in. - 24 in. = 16 in.
The length of the third side is between 16 inches and 64 inches.
Answer:
the answer is D.
Step-by-step explanation:
multiply each row in the first matrix by each column in the second matrix.
[4*-2+2*7 4*5+2*-1]
simplify each element of the matrix by multiplying out all the expressions.
[6 18]
this matrix is already in the most simplified form.
[6 18]
Given:
The point (5,-2) is translated 3 units to the left.
To find:
The new location of the point.
Solution:
If a point is translated 3 units to the left, then

Using this rule of translation, we get


Therefore, the new location of the point is (2,-2). Hence, the correct option is C.
Answer:
y=
x
Step-by-step explanation:
the y intercept is 0
Answer:
281 ft^2
Step-by-step explanation:
We need to add each individual 2d shape together to find the surface area
Bottom: 5*12 = 60
Left side and right side: 4*5 = 20, 2 sides so 20*2= 40
Side facing us and side facing away from us: 12*4 = 48, 2 sides so 48*2=96
Top side that is cut by base of triangle: 7*5 = 35
Each triangle face: base = 5 (12-7), height = 5 1/2base * height so each triangle is .5*5*5 = 12.5; 4 triangles so 12.5*4=50
60+40+96+35+50=281