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2 years ago

The Pythagorean Identity states that:

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

7 0

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)² = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

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Solving equations (algebra). Thank you!

LenKa [72]

Answer:

$\large\boxed{\dfrac{1}{x^2}+x^2=23}$

Step-by-step explanation:

$\left(\dfrac{1}{x}+x\right)^2=25\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\\left(\dfrac{1}{x}\right)^2+2(x\!\!\!\!\diagup)\left(\dfrac{1}{x\!\!\!\!\diagup}\right)+x^2=25\\\\\dfrac{1}{x^2}+2+x^2=25\qquad\text{subtract 2 from both sides}\\\\\dfrac{1}{x^2}+x^2=23$

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3 years ago

Audryn left a $12 tip on a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.

Andrew [12]

Well, if we take 68.73 as the 100%, how much is 12 of it in percentage?

well $\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
68.73&100\\
12&x
\end{array}\implies \cfrac{68.73}{12}=\cfrac{100}{x}$

solve for "x"

3 0

2 years ago

Read 2 more answers

95 POUNDS AND 10 OUNCES TIMES 6=

lord [1]

Answer:

9180 ounces

Step-by-step explanation:

1. 16 ounces in a pound

2.(95(16) +10)6

3. (1520+10)6

4. 1530(6)

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3 years ago

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Marizza181 [45]

Answer: n≥4

Step-by-step explanation:

If you put the value of 4 as n and multiply it by three you will get twelve which satisfies the inequality. Anything larger than 4 will also satisfy the inequality. I really hope this answer helped tell me in the comments.

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