Answer:
x = 4
Step-by-step explanation:
Area of a parallelogram = base times height
Given area = 40
Given height = 4
Given = x + 6
Thus,
40 = 4 * (6 + x )
Step 1 distribute the 4
4 * 6 = 24
4 * x = 4x
we now have 40 = 24 + 4x
step 2 subtract 24 from each side
40 - 24 = 16
24 - 24 cancels out
now we have 16 = 4x
step 3 divide each side by 4
4x / 4 = x
16 / 4 = 4
we're left with x = 4
To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.
(x + 6) * 4
* substitute 4 for x *
(4 + 6) * 4
4 + 6 = 10
10 * 4 = 40
40 = 40
Hence x = 4
Answer:
40 or 16+6+6+6+6
Step-by-step explanation:
To find the surface area of a 3d figure, we can imagine all of its faces laid down on a flat plane. In this case, we would have a square, and four congruent triangles. Now all we have to do is find the areas of each shape and add them up.
4 is the base of the pyramid, so it's also the square's side length. Since a square has four equal sides, our square's length and width are both 4.
4*4 = 16
For every triangle we have, the base is 4 and the height is 3. The area of a triangle can be found using the formula A=(bh)/2. We plug in the values:
A = (4*3)/2
A = (12)/2
A = 6
Since we have 4 triangles, the surface area is:
16+6+6+6+6 = 40
Explanation:
The equation for this problem can be modeled in y = mx + b form.
m represents the rate of change and b represents the initial value or constant.
y = 10x + 20
x represents the number of hours he spent delivering newspapers
y is his total money after whatever number of hours he worked
The rate is 10, because it determines how much money he earns for each hour.
The y-intercept is 20, representing the starting amount of money in his bank account.
Answer:
y = -3x
Explanation:
k = -3
y ¤ x......where ¤ represents the Greek alpha sign
y = k • x
y = -3 • x
y = -3x
