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Blizzard [7]
4 years ago
14

(Algebra II) The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangl

e is 90 cm?
A) 22.5 cm, 30 cm, and 37.5 cm
B) 19.3 cm, 25.7 cm, and 32.1 cm
C) 7.5 cm, 11.5 cm, and 32.1 cm
D) 10.5 cm, 11.5 cm, and 12.5 cm
Mathematics
1 answer:
qwelly [4]4 years ago
8 0
A) 22.5 cm, 30 cm, and 37.5 cm

Divide 90 by 12 and multiply by three to check if any triplet has the answer in it. In this case only A
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Bob and James are finishing the roof of a house. Working alone, Bob can shingle the roof in 14 hours. James can shingle the same
Snowcat [4.5K]

we know that Bob can do the whole job in 14 hours, how much of the work has he done in 1 hour only?  well since he can do the whole lot in 14 hours in 1 hour he has only done 1/14 th of the job.

we know that James can do it in 18 hours, a bit slower, so in 1 hour he has done only 1/18 th of the job.

let's say it takes both of them working together say "t" hours, so in 1 hour Bob has done (1/14) of the work whilst James has done (1/18) of the work, the whole work being t/t or 1 whole, so for just one hour that'd 1/t done by both Bob and James.

\bf \stackrel{Bob}{\cfrac{1}{14}}~~+~~\stackrel{James}{\cfrac{1}{18}}~~=~~\stackrel{total~for~1~hour}{\cfrac{1}{t}} \\\\\\ \stackrel{\textit{using an LCD of 126}}{\cfrac{9+7}{126}=\cfrac{1}{t}}\implies \cfrac{16}{126}=\cfrac{1}{t}\implies 16t=126\implies t=\cfrac{126}{16} \\\\\\ \stackrel{\textit{7 hrs, 52 minutes and 30 seconds}}{t=\cfrac{63}{8}\implies t=7\frac{7}{8}}\implies \stackrel{\textit{rounded up}}{t=7.88}

7 0
3 years ago
Which is f(-3) for the quadratic function graphed?<br> -9<br> -3<br> 0<br> 9
KATRIN_1 [288]

Answer:

9

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:
Alex

Hey there!

This is a one-step equation, meaning that we can solve it in one step.

This is the step:

  • Subtract 14 from both sides

Goal:

  • To find out the value of x

Subtract 14:

x+14-14=63-14

the 14's on the left cancel:

x=49

Hence, the answer is

\boxed{\boxed{\bold{x=49}}}

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

\rule{200}{2}

7 0
3 years ago
Suppose you have 15 muffins. How many muffins are left after you give a friend 1/3 of them?
madam [21]
You would have 10 muffins left because 1/3 of 15 is 5 so 15-5=10
5 0
3 years ago
Read 2 more answers
How to find the square root of 56 without using a calculator
Olegator [25]
There an old algorythmic method similar to long division:-
          
                 7 .   4   8   3
              -----------------
              ) 56. 00 00 00
          7  ) 49
              ) ---
     144   )   7 00
             )    576   
                  ----
  148 8 )     12400
           )      11904
                  -------
          )       496 00
1496 3  )    44889    

THis gives the square root as 7.48  to the nearest hundredth

 
7 0
3 years ago
Read 2 more answers
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