Answer:
Volume = 202.5 cubic feet
Step-by-step explanation:
Given that the aquarium is in the shape of a right rectangular prism in which
Length L = 6 1/4 feet
Width W = 7 1/5 feet
Height H = 4 1/2 feet
Volume = L × B × H
Volume = 25/4 × 36/5 × 9/2
Volume = 5 × 9 × 4.5
Volume = 202.5 cubic feet
Answer: 15 centimeters
Step-by-step explanation: You cut the rectangle into two triangles following the diagonal. You add 12 squared (144) and 9 squared (81) together. You get 225. You get the square root of 225 which is 15 and that is your answer. Basic solving for the hypotenuse.
1) Line should be parallel to y = 3x+6, so slope of this line should be =3.
y=mx +b
y=3x +b
Now we have to find b (y-intercept), using the point (-10, 2.5).
2.5 = 3*(-10)+b
b=2.5+30=32.5
y=3x + 32.5
2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.
Now we have to find b (y-intercept), using the point (-16, -11).
y=(1/4)x +b
-11=(1/4)*(-16) + b
-11 = -4 +b
b = -7
y=(1/4)x - 7
