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True [87]
3 years ago
12

The side length of a cube is (x^2-1/2). Determine the volume of the cube.

Mathematics
2 answers:
pishuonlain [190]3 years ago
5 0

\\ \sf\longmapsto volume=side^3

\\ \sf\longmapsto volume=(x^2-1/2)^3

\\ \sf\longmapsto volume=(x^2)^3-3x^4(1/2)+3x^2(1/2)^2-(1/2)^3

\\ \sf\longmapsto Volume=x^6-3x^4/2+3x^2/4-1/8

stellarik [79]3 years ago
3 0

Answer:

Step-by-step explanation:

x^6 − (3x^4)/2 + (3x^2)/4 − 1/8

The volume of a cube is Length^3.

If a length is (x^2-1/2, then cube root it

It will then be (x^2-1/2) x (x^2-1/2) x (x^2-1/2).

FOIL each term and evaluvate

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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
2 years ago
In ΔVWX, x = 78 cm, w = 35 cm and ∠W=48°. Find all possible values of ∠X, to the nearest degree.
sattari [20]

Answer:

no possible answers

Step-by-step explanation:

V

W

X

w = 35

x = 78

48°

?°

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

a

sinA

​

=

b

sinB

​

From the reference sheet (reciprocal version).

\frac{\sin X}{78}=\frac{\sin 48}{35}

78

sinX

​

=

35

sin48

​

Plug in values.

\sin X=\frac{78\sin 48}{35}\approx 1.6561513

sinX=

35

78sin48

​

≈1.6561513

Evaluate.

X=\sin^{-1}(1.6561513)= \text{ERROR}

X=sin

−1

(1.6561513)=ERROR

Sine cannot be greater than 1.

\text{No Possible Triangles}

No Possible Triangles

\{\}

{}

5 0
2 years ago
Find the least common denominator 11 over 8 and 1 over 12
algol13
The least common denominator of 11/8 and 1/12 is 24. Since 24 is divisible by 12, as well as the number 8. Wherein, each answers will result to a whole number. Being, 24/8 is equal to 3 and 24/12 is equal to 2.
4 0
3 years ago
Find the m&lt;1 <br> 69<br> 71<br> 111<br> 86
Alexxandr [17]

Answer:

69

Step-by-step explanation:

m1 = 180 - (180 - 39 - 30) = 180 - 111 = 69

3 0
2 years ago
Which shows the repeated multiplication for 9³?
mariarad [96]

its A. because the exponent which in this case is 3, is multiplied 3 times. so 9 is multiplied 9 times

6 0
3 years ago
Read 2 more answers
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