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Amiraneli [1.4K]
2 years ago
12

Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails.

Mathematics
1 answer:
Sholpan [36]2 years ago
7 0

Answer:

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Step-by-step explanation:

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Evaluate cos(sin^-1(4/5)
PSYCHO15rus [73]

Step-by-step explanation:

Let \:   \: \theta =  \sin^{ - 1}  (\frac{4}{5})  \\  \\  \therefore \:  \sin\theta = \frac{4}{5} \\  \\  \because \:  { \cos}^{2} \theta =1  - { \sin}^{2} \theta  \\  \\  \therefore \: { \cos}^{2} \theta  = 1 - (\frac{4}{5} )^{2}  \\ \\   = 1 -  \frac{16}{25}  \\  \\  =  \frac{25 - 16}{25}  \\  \\  =  \frac{9}{25}  \\  \\   \therefore \:{ \cos}\theta  = \pm \:  \frac{3}{5}  \\  \\  \because \:  \theta \: lie \: in \: the \: first \: quadrant \\  \\  \therefore \: { \cos}\theta  =  \:  \frac{3}{5}  \\ \\  \implies \theta =  { \cos}^{ -1 }  \: \frac{3}{5}\\\\\implies \theta =  { \cos}^{ -1 }  \: \frac{3}{5}= { \sin}^{ -1 }  \: \frac{4}{5} \\  \\  \therefore \:  \cos( \ {sin}^{ - 1}  \frac{4}{5} ) \\ \\ =  \cos( \ {cos}^{ - 1}  \frac{3}{5} )   \\\\ = \frac{3}{5}  \\  \\   \purple{ \boxed{\therefore \: \cos( \ {sin}^{ - 1}  \frac{4}{5} ) = \frac{3}{5}}}

8 0
3 years ago
can someone help me?, I had the notes in my notebook but the notebook got full, so I threw it away not thinking I was gonna need
Natalija [7]

Step-by-step explanation:

hope this helps you

..................

5 0
3 years ago
5 2/5+a=71/2 what is the answer to this problem
Gre4nikov [31]
Answer:
30 1/10

Step by step explanation:
71/2-5 2/5= 30 1/10
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3 0
3 years ago
Describe how to transform the quantity of the sixth root of x to the fifth power, to the seventh power into an expression with a
bekas [8.4K]
<span>The power of the root of the power of a variable can be written as a rational power by creating a rational exponent that is the product of the powers divided by the root. The rational exponent should be reduced to lowest terms. For example, the seventh power of the sixth root of the fifth power of x will be x^(7*5/6) = x^(35/6).
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6 0
3 years ago
Solve for x with work
Nuetrik [128]

Answer:

47 degrees

Step-by-step explanation:

The two angles shown are "vertical angles" and thus are equal.

Thus, 2x + 3 = x + 50

Combining like terms, we get:

x = 47 degrees

3 0
3 years ago
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