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Alenkinab [10]
3 years ago
12

Joanne and Betty have a combined age of 60 years. If Joanne is 18 years old, how old is Betty?

Mathematics
2 answers:
denis23 [38]3 years ago
8 0

Answer:

42

Step-by-step explanation:

kirill115 [55]3 years ago
3 0

Answer:

42

Step-by-step explanation:

Let Joanne age be x

let betty age by y

. ° . x + y = 60

if joanne is 18

y = 18

x + 18 = 60

x = 60 - 18

x = 42

. ° . betty = 42

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=> x > 30/4

=> x > 7.5

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3 years ago
20 points!!!!!!!
castortr0y [4]
See the attached figure to better understand the problem
let
L-----> length side of the cuboid
W----> width side of the cuboid
H----> height of the cuboid

we know that
One edge of the cuboid has length 2 cm----->  <span>I'll assume it's L
so
L=2 cm
[volume of a cuboid]=L*W*H-----> 2*W*H
40=2*W*H------> 20=W*H-------> H=20/W------> equation 1

[surface area of a cuboid]=2*[L*W+L*H+W*H]----->2*[2*W+2*H+W*H]

100=</span>2*[2*W+2*H+W*H]---> 50=2*W+2*H+W*H-----> equation 2
substitute 1 in 2
50=2*W+2*[20/W]+W*[20/W]----> 50=2w+(40/W)+20
multiply by W all expresion
50W=2W²+40+20W------> 2W²-30W+40=0

using a graph tool------> to resolve the second order equation
see the attached figure

the solutions are
13.52 cm x 1.48 cm
so the dimensions of the cuboid are
2 cm x 13.52 cm x 1.48 cm
or
2 cm x 1.48 cm x 13.52 cm

<span>Find the length of a diagonal of the cuboid
</span>diagonal=√[(W²+L²+H²)]------> √[(1.48²+2²+13.52²)]-----> 13.75 cm

the answer is
 the length of a diagonal of the cuboid is 13.75 cm



4 0
3 years ago
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