Answer:
10(7a +5)
Step-by-step explanation:
The greatest common factor of the two terms is 10. Factoring that out gives ...
10(7a +5)
_____
Other possibilities for meeting the problem requirement are ...
9514 1404 393
Answer:
66 cm²
Step-by-step explanation:
The area of the polygon is the sum of the areas of the triangle and the rectangle it sits on. The dimensions of the triangle can be found by examining the top/bottom dimensions shown and the left/right dimensions shown.
The width (base) of the triangle is the difference between the lengths of the bottom and top horizontal lines: (12 -9) cm = 3 cm.
The height of the triangle is the difference between the lengths of the left and right sides of the figure: (9 -5) cm = 4 cm.
The dimensions of the rectangle are shown a the bottom and the left sides of the figure.
triangle area = 1/2bh = 1/2(3 cm)(4 cm) = 6 cm²
rectangle area = LW = (12 cm)(5 cm) = 60 cm²
Total polygon area = 6 cm² + 60 cm² = 66 cm²
Answer:
19.2 centimeters
Step-by-step explanation:
Tia cut a 4 meter and 8 centimeter wire, converting this measure to centimeters
![4m + 8 cm = 400cm + 8cm =408 cm](https://tex.z-dn.net/?f=4m%20%2B%208%20cm%20%3D%20400cm%20%2B%208cm%20%3D408%20cm)
and she cut it into 10 equal pieces, thus each piece measures:
.
Martha has a wire of 540 centimeter wich she cutted into 9 equal pieces, so each piece measures:
![\frac{540cm}{9} =60cm](https://tex.z-dn.net/?f=%5Cfrac%7B540cm%7D%7B9%7D%20%3D60cm)
The difference between the two wires is:
![60cm - 40.8cm=19.2cm](https://tex.z-dn.net/?f=60cm%20-%2040.8cm%3D19.2cm)
Answer:
![1 \frac{5}{8} > 1.6](https://tex.z-dn.net/?f=1%20%5Cfrac%7B5%7D%7B8%7D%20%20%3E%201.6)
Step-by-step explanation:
![1 \frac{5}{8} \: ... \: 1.6](https://tex.z-dn.net/?f=1%20%5Cfrac%7B5%7D%7B8%7D%20%20%5C%3A%20...%20%5C%3A%201.6)
![\frac{1 \times 8 + 5}{8} \: ... \: 1.6](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20%5Ctimes%208%20%2B%205%7D%7B8%7D%20%20%20%5C%3A%20...%20%5C%3A%201.6)
![\frac{8 + 5}{8} \: ... \: 1.6](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%20%2B%205%7D%7B8%7D%20%20%5C%3A%20...%20%5C%3A%201.6)
![\frac{13}{8} \: ... \: 1.6](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%7D%7B8%7D%20%20%5C%3A%20...%20%5C%3A%201.6)
![\frac{13}{8} \: ... \: \frac{16}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%7D%7B8%7D%20%20%5C%3A%20...%20%5C%3A%20%20%5Cfrac%7B16%7D%7B10%7D%20)
![\frac{13 \times 5}{8 \times 5} \: ... \: \frac{16 \times 4}{10 \times 4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%20%5Ctimes%205%7D%7B8%20%5Ctimes%205%7D%20%20%5C%3A%20...%20%5C%3A%20%20%5Cfrac%7B16%20%5Ctimes%204%7D%7B10%20%5Ctimes%204%7D%20)
![\frac{65}{40} \: ... \: \frac{64}{40}](https://tex.z-dn.net/?f=%20%5Cfrac%7B65%7D%7B40%7D%20%20%5C%3A%20...%20%5C%3A%20%20%5Cfrac%7B64%7D%7B40%7D%20)
![\frac{65}{40} > \frac{64}{40}](https://tex.z-dn.net/?f=%20%5Cfrac%7B65%7D%7B40%7D%20%20%3E%20%20%5Cfrac%7B64%7D%7B40%7D%20)
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