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3 years ago

Trig if line segment AB =20 and line segment AC=8, find

Mathematics

1 answer:

Nina [5.8K]3 years ago

8 0

Answer:

23.6 or A

Step-by-step explanation:

We have sin already. 8/20

We use inverse sin of 0.4 (8/20)

The answer of inverse sin is 23.57817848

or 23.6

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The measure of angle FGJ is 25°.

ivanzaharov [21]

Answer:

50+25=75+x=75x

Step-by-step explanation:

75x nw czy dobrzee

4 0

3 years ago

How do you find the surface area of a cylinder with

skelet666 [1.2K]

Answer:

2111.15

Step-by-step explanation:

A=2π*r*h+2π*r^2

You plug in your height and radius into the formula for surface area of cylinder

7 0

3 years ago

Solve the equation on the interval [0,2π). cos^4x=cos^4xcscx

Alisiya [41]

$\bf cos^4(x)=cos^4(x)csc(x)\\\\
-----------------------------\\\\
cos^4(x)=cos^4(x)\cfrac{1}{sin(x)}\implies cos^4(x)=\cfrac{cos^4(x)}{sin(x)}
\\\\\\
cos^4(x)sin(x)=cos^4(x)\implies cos^4(x)sin(x)-cos^4(x)=0
\\\\\\
cos^4(x)[sin(x)-1]=0\to 
\begin{cases}
cos^4(x)=0\to x=cos^{-1}(0)\\
----------\\
sin(x)-1=0\\
sin(x)=1\to x=sin^{-1}(1)
\end{cases}$

$\bf \measuredangle x = cos^{-1}(0)\implies \measuredangle x = 
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}
\\\\\\
\measuredangle x=sin^{-1}(1)\implies \measuredangle x=\frac{\pi }{2}$

3 0

3 years ago

Describe the graph of y=3/4x-12 as compared to the graph of y=1/x

Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function $y=\frac{3}{4x-12}$ as compared to the graph of $y=\frac{1}{x}$ .

We can write our transformed function as:

$y=\frac{3}{4(x-3)}$

$y=\frac{3}{4}*\frac{1}{(x-3)}$

Now let us compare our transformed function with parent function.

Let us see rules of transformation.

$f(x-a)\rightarrow\text{Graph shifted to the right by a units}$ ,

$f(x+a)\rightarrow\text{Graph shifted to the left by a units}$ ,

Scaling of a function: $a*f(x)$

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0

4 years ago

You need 250 mL of a 90% alcohol solution. On hand, you have a 75% alcohol mixture. How much of the 75% alcohol mixture and pure

stich3 [128]

9514 1404 393

Answer:

100 mL of 75% solution
150 mL of pure alcohol

Step-by-step explanation:

Let x represent the quantity (in mL) of pure alcohol needed for the mix. Then the amount of 75% needed is (250-x). The amount of alcohol in the mixture is ...

1.00x +0.75(250 -x) = 0.90(250)

0.25x +187.5 = 225 . . simplify

0.25x = 37.5 . . . . . . . . subtract 187.5

x = 150 . . . . . . . . . . . . . divide by 0.25

(250 -x) = 100 . . . . mL of 75% solution

You need 100 mL of the 75% solution and 150 mL of pure alcohol to obtain the desired mixture.

8 0

3 years ago