Answer:
Is shaded 5/8 of the area of the rectangle
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of triangle ABC represent 1/4 of the total area
The area of triangle CDE represent 1/8 of the total area
The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE
so
The area of the shaded region is equal to
therefore
Is shaded 5/8 of the area of the rectangle
Answer:
6
Step-by-step explanation:
As you might know, the two lines surrounding the -4 represent the absolute value, which is basically the distance from 0, and the distance is always positive. To clear any confusion, the absolute value of positive number will not be it's opposite because remember, distance is always positive, so absolute value is always positive (because it is basically the distance from zero).
To help, here is an example (that is not related to the problem!):
|-6| = 6
|6| = 6
<em>Now, back to the problem...</em>
Since you now know that the absolute value is always positive, |-4| would equal 4. So now you have:
4 - 8 + 10 = ???
From here, you can just solve and the answer is 6, so:
4 - 8 + 10 = 6
You final answer is 6.
Hope this helped somehow :D
Answer:
X = 9/2 or X = 3
Step-by-step explanation:
5x + 2 = 7x -7
5x - 7x = - 2 - 7
<u>2</u><u>x</u> =<u> </u><u>-</u><u>9</u>
2 2
X = - 9/2
or X = 3 (lowest term)
Answer:
5.19%
Step-by-step explanation:
The amount of an account (A) earning simple interest rate r for time t on principal P is ...
A = P(1 +rt)
Filling in the given values and solving for r gives ...
6000 = 5500(1 +r(21/12))
12/11 = 1 + r(7/4) . . . . . . . . . . divide by 5500, simplify fractions
1/11 = r(7/4) . . . . . . . . subtract 1
4/77 = r . . . . . . . . . . . multiply by 4/7
r ≈ 0.051948 ≈ 5.19%
You will be earning about 5.19% annual simple interest.
Answer:
WX = 11
Step-by-step explanation:
We know that VX is the full line segment.
We also know that VX = 14.
There is a point W on the line segment.
From this we know that the length of VW = 3.
To solve for WX we have to figure out how much distance is in between W and X.
To do this we have to simply subtract 3 from 14.
14 - 3= 11
Thus, we know that WX = 11.