Answer:
40 square metres
Step-by-step explanation:
The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.
This width is also the base of the triangle, so b = 8.
Now plug these values into the equation:
A = (1/2) * b * h
A = (1/2) * 8 * 10 = (1/2) * 80 = 40
The area is 40 square metres.
When x, is 0, you just have to plug in 0 for x (and solve for y):
So, your answer
:
y = 1
Answer:
24m - 28
Step-by-step explanation:
Given the expression (6m−7)⋅4, we are to simplify it. Using the distributive law;
A(B+C) = AB + AC [A is distributed over B and C]
For the expression (6m−7)⋅4, we will distribute 4 over 6m and -7 as shown;
(6m−7)⋅4 = 4(6m) - 4(7)
(6m−7)⋅4 = 24m - 28
Hence (6m−7)⋅4 = 24m - 28
Answer:
Each board is (4/25) meters long = 0.16 meters long
Step-by-step explanation:
The board is 4/5 meters long, and he needs to cut 5 equal pieces, so we need to divide 4/5 of a meter in 5 parts.
This mathematically becomes: 4/5 divided by 5 which by the definition of division of rational numbers, is the same as :
4/5 times the reciprocal of 5 = (4/5) * (1/5) = (4/25) = 0.16 meters each board