Answer:
Step-by-step explanation:
To find the area, I divided the shape into squares and rectangles. Then, I found the area of the squares and rectangles and added them,
- Area = (7 x 7) + (18 x 5) + (6 x 4)
- => (49) + (90) + (24)
- => 163 in²
Hence, the area is 163 in.²
For this case we have by definition, that the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We need two points through which the line passes to find the slope:
We found the slope:
So, the equation is of the form:
We substitute a point to find "b":
Finally, the equation is:
Answer:
Option C
Distances in 2- and 3-dimensions (and even higher dimensions) can be found using the Pythagorean theorem. The straight-line distance can be considered to be the hypotenuse of a right triangle whose sides are the horizontal and vertical differences between the coordinates.
Here, you have A = (0, 0) and B = (3, 6). The horizontal distance between the points is ...
... 3 - 0 = 3 . . . . the difference of x-coordinates
The vertical distance between the points is ...
... 6 - 0 = 6 . . . . the difference of y-coordinates
Then the straight-line distance (d) between the points is found from the Pythagorean theorem, which tells you ...
... d² = 3² + 6²
... d = √(9 + 36) = √45 ≈ 6.7 . . . units
Answer:
The answer to your question is 24 cm³
Step-by-step explanation:
Data
Initial volume = 2/5
Additional volume = 42 cm³
Final volume = 4/7
the total volume of the glass = ?
Process
1.- Write a proportion to help you solve the problem
42 cm³ -------------------- 4/7 of the total
x ------------------- 7/7
2.- Solve the proportion
x = (7/7 x 42) / 4/7
3.- Simplification
x = 42 / 4/7
x = 168/7
x = 24 cm³
To solve this problem we can make the following rule of three
6 ---> 3/4
x ----> 1
Clearing x we have:
x = (1/3/4) * (6)
x = (4/3) * (6)
x = 24/3
x = 8
Answer:
Carlos climbs 8 miles for every mile Lara climbs.
