Answer: I know 12 is right
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
81^x=27^(x+2)
3^4x=3^3(x+2)
4x=3(x+2)
4x=3x+6
x=6
Answer: Here's what I got:
Step-by-step explanation:
Is this what you wanted? My answer is A=22in²
Here's how I got it:
A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²
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Answer:
- D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
<em>See the picture for better visual</em>
Take segments ST and S'T'. If we extend them they will intersect at right angle.
It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.
The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.
<u>This rotation rule is:</u>
We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.
<u>We now can conclude the correct choice is D:</u>
- A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Answer:
<u>252 square inches is the surface area of Josiah's cereal box.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the box = 11 inches
Length of the box = 8 inches
Width of the box = 2 inches
2. What is the surface area of Josiah's cereal box?
Let's recall the surface area of a rectangular prism:
Surface area = 2 (width * length + height * width + length * height)
Surface area = 2 (2 * 8 + 11 * 2 + 8 * 11)
Surface area = 2 (16 + 22 + 88)
Surface area = 2 * 126
<u>Surface area = 252 inches²</u>