Answer:
(1,3)
Step-by-step explanation:
Rotating clockwise means that you're rotating by a negative angle measure. The rule for rotating -90 degrees is (x,y)->(y,-x). X is (-3,1) so X' should be (1,3) since you negate -3 to get 3 and switch the x and y coordinates.
For the fish bowl the first answer is correct.
(1/2)(4/3)(22/7)(12^3)
For the second problem
(1/3)(3.14)(6^2)(10) - (4/3)(3.14)(1.5^3)
The second answer.
Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.
Answer:Red price hast he least least cost per gram of apple.
Step-by-step explanation:
1) considering Royal Gala, 75 gram apple cost $0.41
The cost per gram is 0.41/75 = $0.0055
2) considering Honey crisp, 93 gram apple cost $0.82
The cost per gram is 0.82/93 = $0.0088
3) considering Red Prince, 81 gram apple cost $0.36
The cost per gram is 0.36/81 = $0.0044
Since $0.0044 per gram is the lowest of the three, then the type of apple with the least cost per gram is Red prince.
Answer:
Is it a map? To me that makes the most logical sense.
