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svet-max [94.6K]
3 years ago
13

Help me out thank youuuu sooo much !!!

Mathematics
1 answer:
lozanna [386]3 years ago
8 0

Answer/Step-by-step explanation:

There are actually two methods that can be used to calculate AC (x):

1. Using Pythagorean Theorem

2. Using Trigonometric Function

1. Using Pythagorean Theorem, we have:

x = √(15² + 20²)

x = √625

x = 25 units

2. Using Trigonometric Function:

Reference angle = 37°

Adjacent = 20

Opposite = 15

Hypotenuse = x

Apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 15/x

x × Sin 37 = 15

x = 15/sin 37

x = 24.9246021 ≈ 25 units (nearest whole number)

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Let csc(x) = Cosecant (x) = StartFraction 14 Over 10 EndFraction, where 0 less-than x less-than StartFraction pi Over 2 EndFract
dedylja [7]

Answer:

First Option: cos(x)

Step-by-step explanation:

What is given is csc(x) = 14/10

The graph lies in the first quadrant since 0 < x < pi/2

Create a triangle:

The length across is 14

The adjacent is 10

The length of the shorter side is root 96

Use the pythagorean theorem

BC^2 = 14^2 - 10^2

BC^2 = 196 - 100, 96

BC^2 = root 96/14

Recall SOH-CAH-TOA

Adjacent over Hypotenuse is cos

That is how the answer is cos(x)

4 0
4 years ago
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kicyunya [14]

Answer:

17 in

Step-by-step explanation:

Rectangle:

(4*2)+(5*2)

8+10 =18

Triangle:

5+4+3 =12

Both:

12+18 = 30

minus where the rectangle and triangle are together

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8 0
3 years ago
For any number n&gt;1 is |(3/4+2/3i)^n|
sasho [114]

The for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= \rm |(\dfrac{2}{3}+\dfrac{3}{4}i)^n|\\\\\\= \rm |(\dfrac{8+9i}{12})^n|\\\\\\= \rm |\dfrac{(8+9i)^n}{12^n}|\\\\

Here n>1

Plug n = 2

= \rm |\dfrac{(8+9i)^2}{12^2}|\\\\

= 145/144

= 1.0069

Which is greater than 1.

Thus, the for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

6 0
3 years ago
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dmitriy555 [2]

-Answer:

(-3. -6)

Step-by-step explanation:

G (3,6)

x axis reflect

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Is the simplified form of 2 square root of 3 times square root of 12 rational?
abruzzese [7]
The simplified form of the equation given is 4 times square root of 3. It is rational.
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