Answer:
= 3 3/4 m^2
or 15/4 m^2
Step-by-step explanation:
The base is the triangle.
A =1/2 bh
A = 1/2 (3 1/3 * 9/4)
Change 3 1/3 to an improper fraction (3*3+1)/3 = 10/3
A = 1/2 * 10/3 *9/4
Re arranging
= 1/2* 9/3 * 10/4
= 1/2 (3) 5/2
=15/4
Now writing as a mixed number
= 3 3/4 m^2
The line has a positive slope. Let's look at all the slopes:
1) -3
2) -3
3) 3
4)3
Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.
The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.
1) y = -3/2x - 5/2
2) y = -3/2x + 5/2
We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.
The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.
break it up into simpler shapes. See the photo.
There is:
trapezoid
A = 0.5(3.2+6.5)4.5
= 21.825
triangle
A = 0.5(2.7)4.5
= 6.075
rectangle
A = 1.8(4.5)
= 8.1
Total Area = 21.825 + 6.075 + 8.1
= 36
Rule: with any inscribed quadrilateral, the opposite angles are supplementary (they add to 180 degrees)
Based on that rule, we can say
d+100 = 180
d+100-100 = 180-100
d = 80
Answer: 80
V = 4/3 * 3.14 * 9^3 = 3052.08
Answer is B