Your answer is x = 7b/4m + y/4m
Answer:
197 in ^2 (answer B of the list)
Step-by-step explanation:
Notice that this figure has a total of 6 faces, four of which are rectangles (whose area is calculated as "base times height") and two trapezoids (whose area is (B+b)H/2 ).
The total surface area is therefore the addition of these six areas:
Rectangles:
5 in x 5 in = 25 in^2
5 in x 5 in = 25 in^2
5 in x 6.4 in = 32 in^2
9 in x 5 in = 45 in^2
Trapezoids:
Two of equal dimensions: B = 9 in, b = 5 in, H = 5 in
2 * (9 in + 5 in) 5 in /2 = 70 in^2
Which gives a total of (25 + 25 + 32+45 + 70) in^2 = 197 in^2
This agrees with answer B of he provided list.
Answer:
39 degrees
Step-by-step explanation:
- by seeing the diagram in the attachment, we can see that the angles UWV and VWX are on straight line or, their sum makes 180 degrees.
- we also know that sum of the angles in a triangle is 180 degrees.
by using the first statement,
UWV + VWX = 180
UWV + 6x-3 = 180
UWV = 180+3-6x
= 183-6x
by using second statement,
UWV+WVU+VUW=180
substituting the values,
183-6x+2x+5+x+13=180
201-3x=180
substracting 180 from both sides,
21=3x
dividing both the sides by 3,
7=x
the angle VWX=6x-3
substituting 7=x,
VWX=6(7)-3= 39.
V=πr^2h/3=π·3^2·11.5/3≈108.38495 or 108.40 rounded