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-Dominant- [34]
3 years ago
5

I am having trouble with this problem. I need to find the lengths of this right triangle. How would you do this?

Mathematics
1 answer:
podryga [215]3 years ago
5 0
You labeled the triangle wrong sides 'a' and 'b' are supposed to be the sides that make the right angle.  the other side is called the hypotenuse which is the longest side which you should have labeled 'c'

so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
125x^2+114x+26=144x^2+24x+1
subtract 125x^2 from both sides
114x+26=19x^2+24x+1
subtract 114x from both sides
26=19x^2-90x+1
subtract 26 from both sides
0=19x^2-90-25
factor
(x-5)(19x+5)=0
therefor x-5=0 and/or 19x+5=0
so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out

so x=5
subtitute
1+2x
1+2(5)
1+10=11
side a=11

11x+5
11(5)+5
55+5=60
side b=60

12x+1
12(5)+1
60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth
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Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior citizen tickets and 4 child ticke
FrozenT [24]

Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior (S) citizen tickets and 4 child (C) tickets for a total of $200. On the second day of ticket sales he sold 7 senior (S) citizen tickets and 1 child (C) ticket for a total of $92. What is the price of one child ticket?

14S + 4C = 200

14S = 200 - 4C

S = (200 - 4C)/14

7S + 1C = 92

7S = 92 - C

S = (92 - C)/7

(200 - 4C)/14 = (92 - C)/7

7 x (200 - 4C) = 14 x (92 - C)

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1400 - 1288 = 28C - 14C

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C = 112/14 = 8

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2 years ago
How many milliliters of olive oil (D=0.92 g/mL) have the same mass as 1.80 L of gasoline (D= .74 g/mL)
True [87]

Answer:

1448 mL

Step-by-step explanation:

The mass is the same.

Formula

m = d*V

Givens

<em><u>Olive Oil</u></em>

d = 0.92 grams / mL

V = ??

<em><u>Gasoline</u></em>

d = 0.74 grams / mL

V = 1.8 L = 1.8 L * (1000 ml / L)

V = 1800 mL

Solution

0.74 * 1800 mL = 0.92 * x                      Divide both sides by 0.92

0.74/0.92 * 1800 mL = 0.92 *x / 0.92   Combine the left

0.8043  * 1800 mL = x

x = 1448 mL

The volume of Olive Oil needed is 1448 mL

   


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Hansel opened a bank account. He deposited $52.50 into his account every month for 10 months. He used $20.50 every month to pay
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$52.50 and subtract $20.50 to get $32 and multiply that by 10 (months) to get $320 and divide it by 2 and your final answer is; $160.00

8 0
3 years ago
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