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zhannawk [14.2K]
3 years ago
15

Find the exact value by using a half-angle identity. cosine of pi divided by twelve

Mathematics
1 answer:
Pie3 years ago
8 0

Answer:

The answer is C.

Step-by-step explanation:Th answer is C because you identify pi and devide it 12 which gives you the answer is which is C.

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On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width.
lidiya [134]

Answer:

12ft \times7ft \times6ft

Step-by-step explanation:

Given that truck can hold = 504 ft^{3} i.e.

Volume, V = 504 ft^{3}

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length \times Width \times Height

Putting the given values and conditions:

504 = 12 \times w \times (w-1)

\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft \times7ft \times6ft.

5 0
3 years ago
What is 50% of 42.88
djverab [1.8K]
To find 50 percent, you multiply the number by 0.5 (for 30%, 0.3 etc.).
42.88 * 0.5 = 21.44
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3 years ago
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kodGreya [7K]

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8 0
3 years ago
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What angle corresponds with angle A?
jolli1 [7]
The angle that corresponds with angle A will be P on the other triangle. Both angle A and P are 68 degrees.

And if you look at the sides of the triangle there is a similarity, proving the sides to be similar to each other.
8 0
3 years ago
If sin(x) = squareroot 2 over 2 what is cos(x) and tan(x)
Bumek [7]

Answer:

cos(x) = square root 2 over 2; tan(x) = 1

Step-by-step explanation:

\frac{\sqrt{2} }{2}

was, before it was rationalized,

\frac{1}{\sqrt{2} }

Therefore,

sin(x)=\frac{1}{\sqrt{2} }

The side opposite the reference angle measures 1, the hypotenuse measures square root 2.  That makes the reference angle a 45 degree angle.  From there we can determine that the side adjacent to the reference angle also has a measure of 1.  Therefore,

cos(x)=\frac{1}{\sqrt{2} }=\frac{\sqrt{2} }{2} and

since tangent is side opposite (1) over side adjacent (1),

tan(x) = 1

7 0
3 years ago
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