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3 years ago

Help me pls, question for smart people

Mathematics

2 answers:

Svetach [21]3 years ago

5 0

130 degrees see photo for steps

mars1129 [50]3 years ago

3 0

I believe that it is 130

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Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

3 years ago

A sequence is defined by the formula f(n + 1) = f(n) – 3. If f(4) = 22, what is f(1)?

julsineya [31]

f(n) = f(n+1) +3

f(1) = f(2) +3

f(2) =f(3) +3

f(3) = f(4) +3

So f(1) = f(n) + 3* (n-1)

Put n=4 here so you found

f(1) = f(4) + 3* 3

= 22 +9

=31 ans

hope it helps

5 0

3 years ago

Read 2 more answers

What 7.9% written as a decimal

eduard

The answer is 0.079

*Remove percent sign
*Move decimal back 2 times

7 0

3 years ago

Solve by substitution. Please show work<br> -x+9y=-5<br> x-5y=1

kkurt [141]

Let's solve for x.

−x+9y=−5

Step 1: Add -9y to both sides.

−x+9y+−9y=−5+−9y

−x=−9y−5

Step 2: Divide both sides by -1.

−x ÷ −1 = −9y−5 ÷ −1

x=9y+5

THE ANSWER FOR THE OTHER EQUATION: (x-5y=1)

Let's solve for x.

x−5y=1

Step 1: Add 5y to both sides.

x−5y+5y=1+5y

x=5y+1

Answer:

x=5y+1

I hope this helped I was a little confused on what your problem meant...so if this is not what you asked for just lmk so I can fix it for you :)

3 0

2 years ago

» What is the combined length of all the buttons longer than 1 inch

GrogVix [38]

Answer:

how many buttons there are

Step-by-step explanation:

yo have to have a certain number of buttons

4 0

3 years ago