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allochka39001 [22]
3 years ago
6

Alexis12yearsolderthanGeorge.

Mathematics
2 answers:
stiks02 [169]3 years ago
4 0

Answer:

1 : 12 : 4

Step-by-step explanation:

Carl = C

George = G

Alex = A

A = 12 + G    ,    G = A - 12

C = 3 * A

C + G + A = 68

Substitute new values for G and C into equation

3 * A + A - 12 + A = 68

5A - 12 = 68

Add 12 to both sides of the equation

5A = 80

A = 16

Alex is 16 years old

Carl is 48 years old

George is 4 years old

4 : 48 : 16

Simplify

2 : 24 : 8

Simplify further

1 : 12 : 4

Hope this helps :)

Arisa [49]3 years ago
3 0

Answer:

Step-by-step explanation:

Let George's age be x years

Alexis is (x+12)years

Carl is 3(x+12) years =(3x +36)years

Sum of their ages =68

x+x+12+3x+36=68

5x+48=68

5x=68-48=20

x=20/5= 4years

George is 4 years old

Alexis is 4+12 =16 years old

Carl is 3 times alexis age = 3×16= 48 years old

Ratio of George to Carl to Alex is 4:48:16

Reduce to lowest term since 4 can still go through

Ratio =1:12:4

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Answer:

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Step-by-step explanation:

Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.

We are Given just 1 side, UV (w). Use the law of sines to find UW (v).

Thus:

\frac{v}{sin(V)} = \frac{w}{sin(W)}

W = 137°

w = 19 yd

V = 180 - (137 + 22) = 21°  => sum of triangle

v = ??

Plug in the values and solve for v

\frac{v}{sin(21)} = \frac{19}{sin(137)}

Multiply both sides by sin(21)

\frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21)

v = \frac{19*sin(21)}{sin(137)}

v = 10 yd (approximated)

Find area of ∆UVW:

Area = ½*UV*UW*sin(U)

Area = ½*v*w*sin(U)

= ½*10*19*sin(22)

Area = 35.6 yd² (to nearest tenth)

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