So,
Notice that there is a triangle with two of the angles given. We know that the sum of any triangle's angles will always be 180°. Thus, we can subtract the two given angles from 180, and that will give us the measure of angle ABC.
180 - 20 - 25 = 160 - 25 = 135
The measure of angle ABC is 135°.
The correct option is D.
Answer:
- 50 ft by 75 ft
- 3750 square feet
Step-by-step explanation:
Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...
y = (300 -2x)/3
And the enclosed area is ...
A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)
This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.
The maximum area is enclosed when the dimensions are ...
50 ft by 75 ft
That maximum area is 3750 square feet.
_____
<em>Comment on the solution</em>
The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).
Answer:
Step-by-step explanation:
Hello!
(5x+4) /( (x-4)( x+2))
(5x+4)/ (x² +2x -4x -8)=
(5x+4) /( x²-2x -8)
Answer:
THE ANSWER IS 30
Step-by-step explanation:
We can solve this problem by multiplication expressions. See below.
1/6 ÷5 
30
Answer:
12.5 un^2
Step-by-step explanation:
The formula for area of a trapezoid is (a+b)/2 *h
a and b are the shorter and longer bases respectively. H is height, you have both.
Simply plug it into the equation and find your answer.
(2.5+7.5)/2 *2.5 = 5*2.5 which is equal to 12.5. Add units.
