Answer: 30 inches
Step-by-step explanation:
Given:
ABC-tringle
BH= 8 in - height
S= 120 in^2
AC-?
Solution:
S=1/2ab
120in=1/2a*8in
120=4a
4a=120
a=30 in
Answer:
0.06 liters
Step-by-step explanation:
acid concentration of 65% means that it of 100 units of that solution 65 are acid, and the remaining 35 are water.
so, 100 units are 0.2 liters in this example.
that means that 65/100 × 0.2 = 0.13 liters are acid.
35/100 × 0.2 = 0.07 liters are water
we get a 50% concentration, when we have the same amount of water and acid in the solution (acid is only half of 50% of the solution).
the account of acid remains the same, as we are only adding water.
so, how much water do we need to get from 0.07 liters to 0.13 liters (the same as the already present acid) ?
0.13 - 0.07 = 0.06 liters
20% off means you are paying 80% of the original price ( 100% - 20% = 80%)
Multiply the price of the tv by 80% to find the sale price:
500 x 0.80 = 400
Now multiply the sales price by 1 plus the tax rate to find final cost:
400 x 1.06 = 424
Final price including tax is $424
3s + 135 = 4.5s + 45
Now move the variables and coefficients
135 = 1.5s + 45
And then the numbers
90 = 1.5s
Simplify
90/1.5 = 1.5s/1.5
60 = s
Hope this helps!
