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serg [7]
3 years ago
15

Leah's age is twice her cow old are Leah and her cousin?usin's age. If they add their ages together they get 36. How old are Lea

h and her cousin
Mathematics
1 answer:
nignag [31]3 years ago
4 0
Okay so lets call Leah "L" and her cousin "C". We know that L+C=36 ... we also know that Leah is twice her cousins age. Therefore, L=2 times C, or L=2C. This is because Leah's age is equivalent to twice as much as her cousin's. 
Now that you know that L=2C, you can plug this back into the equation. This should make it so that's there's only one variable now! 
L+C=36
(2C)+C=36   ... here we subbed in L=2C
3C=36     ... we add up the C's
C=12   ... we isolate for C by dividing both sides by 3

So her cousin's age is 12 years old. Leah's age is twice that. Thus, she's 24. If you add the two up: 12+24, you indeed get 36. Hope that helps :))
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7 0
3 years ago
A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55
Brrunno [24]

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

\frac{sin A}{a} = \frac{sin B}{b}

\frac{sin 55}{a} = \frac{sin 62.5}{150}

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

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To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet



5 0
3 years ago
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