Answer:
The length is 48
The width is 20
Step-by-step explanation:
When 2 rectangles (figures) are similar, the ratio of corresponding sides are equal.
This rectangle is 5 by 12, so the shorter side (corresponding to 5) to the longer side (corresponding to 12) would be the same ratio, 5:12.
Let shorter side be s, and
longer side be l
It says, long side is 8 greater than twice short, we can write this as:
In similar rectangles, we have said the corresponding sides' ratio are equal, so we could write:
Now, we replace the new found expression for "l" onto this and cross multiply and solve for s first:
So the shorter side is 20. and hence the longer side would be:
l = 2s + 8
l = 2(20) + 8
l = 40 + 8
l = 48
The longer side is 48.
The length is 48
The width is 20
63 = 0.63×10² = 126/2 = 3×21 = √3969 = 77₈
The last is as a base-8 number.
262.5 should be the correct answer though. 105/30=3.5 so the plane is approximately traveling at 3.5 miles per minute. 3.5x60= 210 so at an hour it has traveled 210 miles. Then we must find .25 of an hour which is 15 minutes. 15x 3.5=52.5. Add both the hour value and the .25 of an hour value together and it is 262.5 miles.
Answer:
A
Step-by-step explanation:
To find the slope of a line, we can use the slope formula:
So, we will need to choose two points from the graph. Any two points will work.
Let’s choose (0, -1) and (1, 2).
So, we will let (0, -1) be (x₁, y₁) and (1, 2) be (x₂, y₂). Substitute these values into the slope formula:
Evaluate:
Therefore, the slope of the line is 3.
Hence, our answer is A.
