No next time ask nicely instead of “and answer the question that follow”
Answer:
0.41 cm
Step-by-step explanation:
The scale on the map is 1 in 86 mi.
This means that, 1 cm on the map represents 86 miles in real life, or on earth.
Then we're told that in real life, a distance is 35 miles, and how far they are on the map.
If 1 cm equals 86 miles, then we can say that x cm equals 35 miles
1 cm ----> 86
x cm ----> 35
x * 86 = 35 * 1
x = 35 / 86
x = 0.41 cm
Therefore, they must be 0.41 cm farther or closer apart on the map scale.
Answer:
1 19/24
Step-by-step explanation:
-5(x-4)=-30
-5x - -20=-30
-5x+20=-30
-20 -20
-5x=-50
divide both sides by -5
x=10
Answer:
Area of this parallelogram: 35.
Step-by-step explanation:
What's the equation for the area A of a parallelogram?
A = b · h,
where
- b is the length of the base, and
- h is the length of the height <em>on that base</em>.
Plot the four vertices on a cartesian plane. Two opposite sides of this parallelogram are parallel to the x-axis. As a result, the length of the base is the same as the difference in x-coordinates between two vertices on that side. As seen on the diagram, the length of this base is b = 2 - (-5) = 7.
The height on either of those two sides will be normal to the x-axis and parallel to the y-axis. The length of those heights will be the same as the difference in y-coordinates between two vertices, one on each line. As seen on the diagram, the length of the height on base <em>b</em> is h = 4 - (-1) = 5.
Area of this parallelogram:
A = b · h = 5 × 7 = 35.