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Nookie1986 [14]
3 years ago
14

a rectangular prism measures 3 in by 8 in by 9 in. what is the side length of a cube with the same volume?

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

Answer:

6 in.

Step-by-step explanation:

Rectangular prism

V = lwh       l = 8   W = 3    h = 9

  = 8(3)(9)

  = 216

Cube

V = s^{3}   where s = length of side

216 = s^{3}

s = \sqrt[3]{216}  = 6

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Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2
Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function \sin^2 x +\sinx-2

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

\sin^2 x +2\sinx-\sin x-2

Now, we group the first two terms and the last two terms

(\sin^2 x +2\sinx)+(-\sin x-2)

Now, we take GCF from each group

\sin x(\sin x +2)-1(\sin x+2)

Factor out (sinx+2)

(\sin x +2)(\sin x-1)

Therefore, the factored form is (sin x +2)(sin x-1)

7 0
3 years ago
Read 2 more answers
a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages
Roman55 [17]

Answer:

son's present age = 30

father's present age=60

Step-by-step explanation:

his son's present age = x years

his father's present age = 2x years

before 20 years his son's age=(x-20) years

before 20 years father's age=(2x-20) years4(x-20)=(2x-20)

4x-80=2x-20

4x-2x=80-20

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x=30

5 0
2 years ago
The recommended angle for a firefighting ladder is 75°. When a 110-foot ladder
Licemer1 [7]

Answer:106.38 feet

Step-by-step explanation:

This can be solved by using pythagoras theorem

 

c=110 feet

b=28 feet

a=?

a=sqrt(110^2-28^2)

=sqrt(12100-784)

=sqrt(11316)

=106.3766 feet

=106.38

3 0
3 years ago
Name the property illustrated.<br><br> 6 + 4 + 3 = 6 + 3 + 4
Iteru [2.4K]

Commutative property states that order does not matter. Multiplication and addition are commutative. Related Links: Properties. Associative, Distributive and commutative properties.

5 0
3 years ago
Write each power as a product of the same factor. Then find the value.
Leona [35]

Answer:

its answer is option b 15.625

4 0
3 years ago
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