let's firstly convert the mixed fractions to improper fractions.
![\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B2%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B4%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
![\bf \begin{array}{ccll} miles&hours\\ \cline{1-2}\\ \frac{7}{2}&1\\[0.8em] m&\frac{4}{3} \end{array}\implies \cfrac{~~\frac{7}{2}~~}{m}=\cfrac{~~1~~}{\frac{4}{3}}\implies \cfrac{7}{2m}=\cfrac{3}{4}\implies 28=6m \\\\\\ \cfrac{28}{6}=m\implies \cfrac{14}{3}=m\implies 4\frac{2}{3}=m](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccll%7D%20miles%26hours%5C%5C%20%5Ccline%7B1-2%7D%5C%5C%20%5Cfrac%7B7%7D%7B2%7D%261%5C%5C%5B0.8em%5D%20m%26%5Cfrac%7B4%7D%7B3%7D%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B~~%5Cfrac%7B7%7D%7B2%7D~~%7D%7Bm%7D%3D%5Ccfrac%7B~~1~~%7D%7B%5Cfrac%7B4%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B7%7D%7B2m%7D%3D%5Ccfrac%7B3%7D%7B4%7D%5Cimplies%2028%3D6m%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B28%7D%7B6%7D%3Dm%5Cimplies%20%5Ccfrac%7B14%7D%7B3%7D%3Dm%5Cimplies%204%5Cfrac%7B2%7D%7B3%7D%3Dm)
I hope this helps you
2x+8= -7-3x
5x= -15
x= -3
Step-by-step explanation:
heyy
so a Pythagoras theorem always works on a right angle triangle only
the longest side that is the side not involved in the right angle triangle is called the hypotenuse
the other two involved sides are called legs
so we say one leg is a
other leg is b
and hypotenuse is c
the formula is a²+b²=c²
so if a= 4cm
b=3cm
then find c
so a²+b²=c²
so 16+9=25
so square root of 25 is 5²
so c is equal to 5 cm
also if you want to check if the triangle is a right angled triangle then we should perform this theorem in which all three values will be given but you just need to solve and check if it satisfies
thanks for asking
pls gimme brainliest I need it
Step-by-step explanation:
Step 1: Divide 462 by 48 to get the number as a decimal. 462 / 48 = 9.62
Step 2: Multiply 9.62 by 100. 9.62 times 100 = 962.5. That's all there is to it!
Note that you can reverse steps 1 and 2 and still come to the same solution. If you multiply 462 by 100 and then divide the result by 48, you will still come to 962.5!
Answer:
15 m
Step-by-step explanation:
Height of buiding h= 9m
Lenght from building l= 12m
let the length of the rope be x=???
Applying Pythagoras theorem
x^2=h^2+l^2
x^2= 9^2+12^2
x^2= 81+144
x^2=225
square both sides
x=√225
x=15 m
Hence the length of the rope is 15 m
