3 years ago

What is 31/32 as a decimal?

Mathematics

2 answers:

ohaa [14]3 years ago

8 0

.96875. All you have to do is divide the top number by the bottom number to what the answer is.

Westkost [7]3 years ago

6 0

Divide the top and bottom together

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Use the difference of cubes identity to write the expression x3 – 64 in factored form.

Elena-2011 [213]

Answer:

Hey there!

We have:

$x^3-64$

$x^3-4^3$

$(x-4)(x^2+4x+16)$

Let me know if this helps :)

3 0

3 years ago

9. In a rhombus whose side measures 34 and the smaller angle is 42°. Find the length of the larger diagonal, to the nearest tent

Veseljchak [2.6K]

Answer:

63.5

Step-by-step explanation:

The diagonals of a rhombus bisect opposite angles.

The longer diagonal bisects the 42° angle

The larger angle of the rhombus is 180 - 42 = 138

Let x = the length of the longer diagonal

You know two sides and the included angle of a triangle.

Using the law of cosines we get

$x^{2} = 34^{2} + 34^{2} -2(34)(34) cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.150837...\\x = \sqrt{4030.150837} = 63.48$ $x^{2} = 34^{2} + 34^{2} -2(34)(34)cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.1508...\\ x = \sqrt{4030.1508} \\ = 63.48$ x^2 = 34^2 + 34^2 - 2(34)(34) cos 138