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ANTONII [103]
3 years ago
8

There are over 23,000,000 people in Australia. Which expression is equivalent to 23,000,000?​

Mathematics
1 answer:
Ganezh [65]3 years ago
6 0

Answer:

Search up equilvlant calculator

Step-by-step explanation:

hoped thishelped

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Answer:

THX FOR THE POINTS

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3 years ago
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If cos8x = 13/36 find the value of cos4x.​
Elina [12.6K]

The value of cos 4x from the given identity is 0.999

<h3>Trigonometry identity</h3>

Given the cosine identity

cos8x = 13/36

Determine the value of x

8x = arccos(13/36)
8x = 0.36111

x = 0.36111/8
x = 0.04514

Determine the value of cos4x

cos4x = cos4(0.04514)

cos4(0.04514) = 0.999

Hence the value of cos 4x from the given identity is 0.999

Learn more trig identity here; brainly.com/question/7331447

3 0
2 years ago
A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side
kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}

b) The shortest side measures 76 mi less than the middle​ side( in other words, you have to subtract 76 from middle side to get the shortest side)

x=y-76\Rightarrow equation(2)

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

z=y+379\Rightarrow equation(3)

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\  \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}

now, replace the y value in equatino (2) to find x

b)

\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}

c) finally, prelace x and y value in equation (1) to find z

\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}

so

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0
1 year ago
In circle O, ST is a diameter.<br><br><br><br> What must be the value of x?
leonid [27]

Answer:

The answer is 25.

Step-by-step explanation:

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Non linear dneofnzkwodo
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