Answer:
338 tiles
Step-by-step explanation:
First, convert the measurements of the kitchen from feet to inches by multiplying each measurement by 12.
102 * 12 = 1224 18 * 12 = 216
Now multiply these answers together.
1224 * 216 = 264,384 square inches
Now find the area of the vinyl tiles.
28 * 28 = 784 square inches
Now find how many 784 square inch tiles are needed to cover a 264,384 square inch kitchen.
264,384 / 784 = 337.224
Since you can't buy part of a tile, round your answer up.
338 tiles
Answer:
![\large\boxed{2.\ ab^{-3x}=a\left(\dfrac{1}{b}\right)^{3x}=a\left[\left(\dfrac{1}{b}\right)^3\right]^x}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B2.%5C%20ab%5E%7B-3x%7D%3Da%5Cleft%28%5Cdfrac%7B1%7D%7Bb%7D%5Cright%29%5E%7B3x%7D%3Da%5Cleft%5B%5Cleft%28%5Cdfrac%7B1%7D%7Bb%7D%5Cright%29%5E3%5Cright%5D%5Ex%7D)
Step-by-step explanation:
![Use:\ a^{-n}=\left(\dfrac{1}{a}\right)^n\\------------\\\\(4)^{-3x^2}=\left[(4)^{-1}\right]^{3x^2}=\left(\dfrac{1}{4}\right)^{3x^2}](https://tex.z-dn.net/?f=Use%3A%5C%20a%5E%7B-n%7D%3D%5Cleft%28%5Cdfrac%7B1%7D%7Ba%7D%5Cright%29%5En%5C%5C------------%5C%5C%5C%5C%284%29%5E%7B-3x%5E2%7D%3D%5Cleft%5B%284%29%5E%7B-1%7D%5Cright%5D%5E%7B3x%5E2%7D%3D%5Cleft%28%5Cdfrac%7B1%7D%7B4%7D%5Cright%29%5E%7B3x%5E2%7D)
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Answer: x > 486
Explanation:
We have some number x and we divide that by 18. The result is larger than 27. To find possible values for x, we need to undo what is happening to x. The opposite of division is multiplication. We multiply both sides by 18 to cancel out the "18" on the left side, which will isolate x to get it to its own side.
This is what the steps look like
x/18 > 27
18*( x/18 ) > 18*27 .... multiplying both sides by 18
x > 486 ... note the 18's cancel on the left side
So this means x is some number greater than 486.
Answer:
z=44
Step-by-step explanation:
One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.
360-84-84-52-52=88
=88/2
=44
So z=44°
