Answer:
BM = 30 cm, DL = 42 cm
Step-by-step explanation:
The area of the parallelogram = 1470 cm², AB = 35 cm, AD = 49 cm, DL and BM are the heights on sides AB and AD.
area of the parallelogram = base × height = AD × height of AD = AD × BM
⇒ 1470 cm² = 49 cm × BM
BM = 1470 cm² / 49 cm = 30 cm
BM = 30 cm
Also:
area of the parallelogram = base × height = AB × height of AB = AB × DL
⇒ 1470 cm² = 35 cm × DL
DL = 1470 cm² / 35 cm = 42 cm
DL = 42 cm
Answer:Joanie watched 4/15 of the movie at night
Step-by-step explanation:
Let total amount of movie to watch = 1 whole since we are dealing with fractions
Amount of movie watched in the morning = 1/3
Amount watched at night = x
Amount remaining= 2/5
so that Total amount of movie to watch - Amount watched in morning and night = Amount remaining to watch
1 - ( 1/3 + x ) = 2/5
1- 2/5 = 1/3 + x
3/5 =1/3 + x
3/5 - 1/3 = x
9- 5/15 = x
x= Amount watched at night = 4/15
Answer: 21.00
Step-by-step explanation: 48-27 = 21
Hfsgjkijgfstghjjhvxsfvnjgvdrghj
is simply the difference of both amounts, but firstly let's convert the mixed fractions to improper, and subtract.
![\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \stackrel{mixed}{6\frac{7}{16}}\implies \cfrac{6\cdot 16+7}{16}\implies \stackrel{improper}{\cfrac{103}{16}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Jessie}{\cfrac{103}{16}}-\stackrel{Bryce}{\cfrac{9}{2}}\implies \stackrel{\textit{our LCD is 16}}{\cfrac{(1)103-(8)9}{16}}\implies \cfrac{103-72}{16}\implies \cfrac{31}{16}\implies 1\frac{15}{16}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cstackrel%7Bmixed%7D%7B6%5Cfrac%7B7%7D%7B16%7D%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%2016%2B7%7D%7B16%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B103%7D%7B16%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Cstackrel%7BJessie%7D%7B%5Ccfrac%7B103%7D%7B16%7D%7D-%5Cstackrel%7BBryce%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bour%20LCD%20is%2016%7D%7D%7B%5Ccfrac%7B%281%29103-%288%299%7D%7B16%7D%7D%5Cimplies%20%5Ccfrac%7B103-72%7D%7B16%7D%5Cimplies%20%5Ccfrac%7B31%7D%7B16%7D%5Cimplies%201%5Cfrac%7B15%7D%7B16%7D)
