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Answer:
13 packages.
Step-by-step explanation:
Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:
Smaller rectangle:
Subtract 7 from 9 to find the width:
9 -7 = 2. Therefore:
2 × 2 = 4 ft².
Larger rectangle:
7 × 5 = 35 ft².
Add up the two areas to find the area of the entire figure:
4 + 35 = 39 ft².
If each package of tile covers 3 ft², simply divide to find the package of tiles needed:
39 / 3 = 13 packages.
Answer:
Search google but the answer is (8.31×10-3) (9.9×10)-6
Answer:
Data that can only take certain values
Step-by-step explanation:
For instance. number of students in a class; you can't half a student
Given:
The figure of a circle.
To find:
The measure of arc AD and measure of each arc.
Solution:
The measure of arc is equal to the central angle of that arc.
The central angle of arc AD is 105 degrees. So,
![m(arc(AD))=105^\circ](https://tex.z-dn.net/?f=m%28arc%28AD%29%29%3D105%5E%5Ccirc)
The central angle of arc BC is 35 degrees. So,
![m(arc(BC))=35^\circ](https://tex.z-dn.net/?f=m%28arc%28BC%29%29%3D35%5E%5Ccirc)
The central angle of arc CD is 50 degrees. So,
![m(arc(CD))=50^\circ](https://tex.z-dn.net/?f=m%28arc%28CD%29%29%3D50%5E%5Ccirc)
The central angle of a complete circle is 360 degrees. So,
![m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ](https://tex.z-dn.net/?f=m%28arc%28AD%29%29%2Bm%28arc%28BC%29%29%2Bm%28arc%28CD%29%29%2Bm%28arc%28AB%29%29%3D360%5E%5Ccirc)
![105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ](https://tex.z-dn.net/?f=105%5E%5Ccirc%2B35%5E%5Ccirc%2B50%5E%5Ccirc%2Bm%28arc%28AB%29%29%3D360%5E%5Ccirc)
![190^\circ+m(arc(AB))=360^\circ](https://tex.z-dn.net/?f=190%5E%5Ccirc%2Bm%28arc%28AB%29%29%3D360%5E%5Ccirc)
![m(arc(AB))=360^\circ-190^\circ](https://tex.z-dn.net/?f=m%28arc%28AB%29%29%3D360%5E%5Ccirc-190%5E%5Ccirc)
![m(arc(AB))=170^\circ](https://tex.z-dn.net/?f=m%28arc%28AB%29%29%3D170%5E%5Ccirc)
Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°
Answer:
24 hours
Step-by-step explanation:
One member of the gardening club can alone plant flowers in 12 hours.
So in 1 hour he can plant 1/12 of the flowers.
Let the time required by the second member of the club to plant flowers alone be x hours.
Then in 1 hour he can plant 1/x of the flowers.
Now when the two members work together,each hour they can plant:
of the flowers.
But they can together complete the job in 8 hours. So in one hour they plant 1/8 of the flowers.
=> ![\[\frac{1}{12}+\frac{1}{x}=\frac{1}{8}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B12%7D%2B%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B8%7D%5C%5D)
=> ![\[\frac{1}{x}=\frac{1}{24}\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B24%7D%5C%5D%0A)
=> x=24
So the second member can plant the flowers alone in 24 hours