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Liono4ka [1.6K]
3 years ago
10

ZAP is a right triangle, with right angle A and cosP = 4/5. What is sin Z?

Mathematics
2 answers:
irga5000 [103]3 years ago
7 0
If you want to find cosP , since angles Z and P are 2 complementary angles then cosZ is the same as cosP so you say the cosP=sinZ=4/5 (property of 2 complement angles in a right triangle)
kompoz [17]3 years ago
3 0

Answer:

\text{sin}(Z)=\frac{4}{5}.

Step-by-step explanation:

We have been given that ZAP is a right triangle, with right angle A and \text{cos}(P)=\frac{4}{5}. We are asked to find the \text{sin}(Z).

Please find the attachment.

We know that \text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}} and \text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}.

Upon looking at our attachment, we can see that \text{cos}(P)=\text{sin}(Z), therefore, \text{sin}(Z)=\frac{4}{5}.

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lakkis [162]

Answer:

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

Step-by-step explanation:

Let

S = 2b/(b+a)^2 + 2a/(b^2-a^2)   factor denominator

= 2b/(b+a)^2 + 2a/((b+a)(b-a))     factor denominators

= 1/(b+a) ( 2b/(b+a) + 2a/(b-a))    find common denominator

= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a))   expand

= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a))  simplify & factor

= 2/(b+a)(b^2+a^2)/((b+a)(b-a))  simplify & rearrange

= 2(b^2+a^2)/((b+a)^2(b-a))

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

4 0
3 years ago
Francis went to the sporting goods store and spent $75.15 on 6 items.
MArishka [77]

Answer:

$6.03

Step-by-step explanation:

The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.

So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.

Each pair of socks cost $6.03.

Simpler Explanation:

  • $75.15 - $45 = $30.15
  • $30.15 / 5 = $6.03

The answer is $6.03

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3 years ago
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Answer:

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Step-by-step explanation:

m = -4

using (-6,2)

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it is increasing when the derivitive is positive, so just find where the graph is positive (that's about from -2 to 4)

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so the interval is (0,2)
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