2. 54 inches
3. 18 centimeters
Answer:
It will take 1.5 hours to paint the room together
Step-by-step explanation:
Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours.
Work done by Martha in 1 hour = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Work done by Jamie in 1 hour = ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
Work one together in 1 hour = ![\frac{1}{2}+\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B6%7D)
Now take common denominator to add both fractions
LCD = 6, Multiply the first fraction by 3
![\frac{1*3}{2*3}+\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2A3%7D%7B2%2A3%7D%2B%5Cfrac%7B1%7D%7B6%7D)
![\frac{3}{6}+\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B6%7D%2B%5Cfrac%7B1%7D%7B6%7D)
Now add the numerators
![\frac{4}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B6%7D)
![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
To find total hours of painting together, we take reciprocal of 2/3
Time taken to paint together = ![\frac{3}{2}= 1.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D%201.5)
It will take 1.5 hours to paint the room together
Answer:
D
Step-by-step explanation:
Given that the dimensions of a solid are in proportion a : b, then
then the ratio of the area is a² : b²
Thus
scale factor =
, then
area factor =
=
→ D
90-58 = 9y+5
32 = 9y+5
27 = 9y
y = 27/9
y= 3 degrees.