3 years ago

Find the value of y. Picture below

Mathematics

1 answer:

olga2289 [7]3 years ago

6 0

We have trapezoid with congruent legs.

30x + 11y = 2x + 3

28x +11y = 3

Also we have

30x + 11y = 12

We got 2 equations:

30x + 11y = 12

28x +11y = 3 (*-1) -----> -28x -11y = -3

30x + 11y = 12

2x = 9

x=9/2

30x + 11y = 12 ------> 30*9/2 +11y =12 ------> 135+11y =12, ---> 11y = - 123,

y= - 123/11

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Rounded to the nearest hundred cubic meters, what is the total capacity (cone and cylinder) of the storage container?

hichkok12 [17]

The picture in the attached figure

we know that
the total capacity of the storage container=volume of a cone+volume of cylinder

step 1
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
r=6 m
h=8 m
so
volume=(1/3)*pi*6²*8-----> 301.44 m³

step 2
find the volume of the cylinder
volume of a cylinder=pi*r²*h
r=6 m
h=10 m
s6
volume=pi*6²*10----> 1130.40 m³

total volume=301.44+1130.4-----> 1431.84 m³-------> 1400 m³

the answer is
1400 m³