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Vinil7 [7]
3 years ago
9

Please explain #2 for me please! The question deals with proportions.

Mathematics
1 answer:
Ket [755]3 years ago
3 0
We claim that the ratio of the areas is (3/2)^3=27/8, not just for these lengths, but also for every possible set of side-lengths x, y, and z.

To find the volume of the area of the original suitcase, multiply together x, y, and z to get xyz.  The modified suitcase will have all these dimensions multiplied by 1 1/2, or 3/2, for a result of 3x/2*3y/x*3z/2=27xyz/8.  The ratio is (27xyz/8)/(xyz)=27/8, as desired.

Note that we made no assumptions about the value of x, y, and z throughout the whole solution!  Therefore, we can plug ANY side-lengths, including the problem's set (28, 16, 8) into this problem to achieve the same ratio.
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The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height o
Anna11 [10]
The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. <span>The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

let
x-------> the length of the base of the rectangular prism
</span>y-------> the width of the base of the rectangular prism
<span>
we know that
volume of the prism=area of the base*height 
volume=48 ft</span>³
<span>height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft</span>²
<span>
area of the base=64 ft</span>²
<span>area of the base=x*y
64=x*y--------> equation 1

y=x+2--------> equation 2

substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x</span>²+2x------> x²+2x-64=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft

the answer is
</span>the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft<span>
 </span>

4 0
3 years ago
Hey can someone tell me what -3x^2(14x^2-2x-8) equals
Ad libitum [116K]

Answer:

-42x^4 + 6x^3 + 24x^2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What line plot are true?
Marianna [84]

Answer:

try A,C and E because A) has more students than any other ones C) if I goes up in twos and E) same as C

4 0
3 years ago
PLSSS HURRY ILL GIVE YOU A BRAINLYEST
8090 [49]

Answer:

36 inches

Step-by-step explanation:

lets think of it as a ratio,

80:w

20:9

so we want 20 to get to 80

and 9 to get to w right?

so if we just move the smaller rectangle to the corner, then 20*4=80 right?

and if we do that, we do it to 9 as well, 9*4=36

w=36

6 0
2 years ago
Evaluate the function f(x) = x 2 + 1 for f(2
olasank [31]
F(x)=x^{2} +1
f(2)=2^{2} +1
f(2)=5
6 0
3 years ago
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