Answer:
surface area of the rectangular shaped cereal box = 384 ft²
Step-by-step explanation:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft²
Answer:
Neither, complementary
Step-by-step explanation:
1. 62 + 128 = 190 (Neither)
1. 44 + 46 = 90 (Complementary)
Adding up to 90 is complementary, adding up to 180 is supplementary
Just do the inverse of the translation
so by using the translation
(x-5, y+8), triangle A'B'C' will become triangle ABC
now just plug in the point
C' (12,-11) ---> C (7,-3)
From top to bottom:
5/c
5-c
5c
5+c
This situation is a right triangle with the base measuring 18 and the hypotenuse 22. We are looking for x, the height up the pole that the wire is going to be attached to. We will use Pythagorean's Theorem to find the missing length.
![22^2-18^2=x^2](https://tex.z-dn.net/?f=22%5E2-18%5E2%3Dx%5E2)
and
![484-324=x^2](https://tex.z-dn.net/?f=484-324%3Dx%5E2)
. x^2 = 160 so x =
![4 \sqrt{10}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B10%7D%20)
or 12.65 feet