Answer:
Step-by-step explanation:
Diameter = 12 ft.
Radius = 12/2 = 6 ft.
Volume =
To get a close estimate, we can round 49 up to 50 and 311 down to 300, obtaining an estimate of 50/300 = 1/6, or 0.1666... as a repeating decimal. That decimal approximation is a little less than one hundredth away from the actual decimal approximation of ≈ 0.1576
It would have been better if a figure come with your question but I will just imagine how the pattern looks like.
Automatically, the area of the two parallelograms is
(14) (10) + (14)(10) = 280 square inches
The are of the three triangles assuming that they are on top of the parallelogram is
3 (1/2) (18 - 10)(7) = 84 sq. inches
The total area is
280 + 84 = 364 sq. inches
Answer:
The answer is that adult tickets cost $44.50 and child tickets cost $19.
Step-by-step explanation:
Let c = the cost of child tickets and a = the cost of adult tickets.
The total amount is equal to the number of adult tickets time the cost of adult tickets plus the number of child tickets times the cost of child tickets. Set up two equations:
2a + 4c = 165
4a + 3c = 235
Solve the top equation for a:
2a + 4c = 165
2a = 165 - 4c
a = 165/2 - 4c/2
a = 82.5 - 2c
Substitute into the second equation:
4a + 3c = 235
4(82.5 - 2c) + 3c = 235
330 - 8c + 3c = 235
-5c = -95
c = -95 / -5 = 19, so child ticket cost $19.
Solve for a:
a = 82.50 - 2c
a = 82.50 - 2(19)
a = 82.50 - 38
a = $44.50, so adult tickets cost $44.50.
Proof using the first equation for the Johnson family:
2a + 4c = 165
2(44.50) + 4(19) = 165
89 + 76 = 165
165 = 165
Proof using the second equation for the Robison family:
4a + 3c = 235
4(44.50) + 3(19) = 235
178 + 57 = 235
235 = 235
Answer: (1, 10)
Step-by-step explanation:
When you translate, you add or subtract the value you are moving to each coordinate
(6,7) left 5 would be -5 to the x coordinate and 3 up would be +3 to the y coordinate.
6-5=1
7+3=10
new point is (1,10)