Answer: D) 32
Step-by-step explanation:
The area of a parallelogram equals its base times its height. Substitute the base and area into this formula to solve for the height:
A=bh
40=(5)(h)
h=8
If ABCD is a parallelogram, opposite sides are parallel, so AB is parallel to DC. If AB is parallel to DC, EB is parallel to DC. Since EB is parallel to DC, quadrilateral EBCD has at least one pair of parallel sides, making it a trapezoid. The area of a trapezoid is equal to
where h is the height,
is one base, and
is the other base. Plug the necessary values into the formula:
A=


h=8
A=
A=32
The answer is D) 32.
Solve for x in each set of parentheses by setting them to 0:
X -8 = 0
X = 8
X+9 = 0
X =-9
You have two x intercepts (8,0) and (-9,0)
You didn’t list any choices to pick from but it would be either if the ones above.
So the equation you'll use is (18,000 × .041)y+18000. Y is your years which is 20. So all you need to do is plug it in to get (18,000 × .041)20+18000 and when solved is 32,760 downloads by 2030
Answer:
The coordinate of point B is (4, 8.25)
Step-by-step explanation:
Here, we want to find the coordinates of point B
To do this, we are to use the section internal division formula as follows;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
In this case;
(x1,y1) = (2,6)
(x2,y2) = (5,9)
(m,n) = (3,1)
Substituting these values into the section formula, we have;
(x,y) = (1(1) + 3(5))/(1 + 3) , (1(6) + 3(9))/3 + 1)
(x,y) = (16/4, 33/4)
(x,y) = (4,8.25)
Answer:
Step-by-step explanation:
Maximum capacity of the elevator = 2000 pounds
Combined weight of the elevator = 428 pounds
A). Let the possible weights that can be added to the elevator = w pounds
B). Therefore, inequality representing this situation will be,
428 + w < 2000
C). By solving the given inequality,
(428 + w) - 428 < 2000 - 428
w < 1572 pounds
Now we draw this inequality on a number line.