Answer:
630.
Step-by-step explanation:
<u>Given the following data;</u>
Dimensions for cube = ¼ inches
Volume = 1/64 cubic inches.
For rectangular box;
Length = 2½ = 5/2 inches.
Width = 2¼ = 9/4 inches.
Height = 1¾ = 7/4 inches.
Volume = 315/32 inches
Therefore, to find the amount of cubes;
Substituting into the equation, we have;
Number of cubes = 630
The answer would be:
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
See attached picture:
Answer:
1. Domain - All real numbers
Range - y<4
first graph
2. Domain - All real numbers
range - y<8
second graph
Step-by-step explanation:
Answer:
1.; 2.
Step-by-step explanation:
Step 1. Calculate the area of the floor
If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.
The side length l of the actual floor is
l = 10 cm × (2 ft/1 cm) = 20 ft
The area A₂ of the floor is
A = l² = (20 ft)² =
Step 2. Calculate the area ratios
We must express both areas in the same units.
Let's express the area of the room in square centimetres.
l = 20 ft × (12 in/1 ft) = 240 in
l = 240 in × (2.54 cm/1 in) = 609.6 cm
A₂ = l² = (609.6 cm)² = 371 612 cm²
The area A₁ on the scale drawing is 100 cm².
The ratio of the areas is
The ratio of the area in the drawing to the actual area is
Answer:
(0,-5) and (-4,3)
Step-by-step explanation:
The given equations are
Make y the subject in the second equation;
Substitute into the first equation;
Expand:
When x=0,
This gives; (0,-5)
When x=-4
This gives (-4,3)
