Answer:
a=8
c=5.5
Step-by-step explanation:
solve simultaneously:
2a + 4c = 38.00
3a + 3c = 40.50
times the first eq. by 3 and the second by 2
6a + 12c = 114
6a +6c = 81
subtract from one another
6a + 12c = 114
-6a +6c = 81
6c = 33
c=5.5
3a + 3x5.5 = 40.50
3a= 24
a=8
Answer:
four more than 1/3 would be 1 and 2/3
Step-by-step explanation:
The green square is 15 ft wide by 15 ft tall.
The area of one green square is 15 x 15 = 225 square feet.
There are 4 sides plus the base : 225 x 5 = 1125 square feet for the green part.
One triangle has a base 15 feet wide and a height of 9 feet.
The area for one triangle is 1/2 x 15 x 9 = 67.5 square feet.
There are 4 triangles: 67.5 x 4 = 270 square feet.
Total: 1125 + 270 = 1,395 square feet.
Step-by-step explanation:
8.3 = 8+ 0.3
= 8 + 3/10
= 8 3/10
Answer:
V = 408 cm cubed
SA = 558 cm squared
Step-by-step explanation:
To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V =1/2 l*w*h =1/2* 6*8*17 = 408
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.
Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.
The surface area of the prism is 48 + 510 = 558.