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noname [10]
1 year ago
14

About 70% of Australia's population are of British descent. If Australia's population is 25

Mathematics
1 answer:
neonofarm [45]1 year ago
7 0

Answer:

17,500,000 people

Step-by-step explanation:

70% can be rewritten as 0.7 time 25 million

0.7*25,000,000 = 17,500,000

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For the values a=8 which is a leg of a right triangle and value c=19 which is the hypotenuse find the length of the other leg b
FinnZ [79.3K]
C^2=a^2+b^2  we are given the hypotenuse of 19 units and one leg of 8 units so:

19^2=8^2+b^2

361=64+b^2

b^2=297

b=√297

b≈17.2 to the nearest tenth


4 0
3 years ago
Read 2 more answers
Choose the correct graph of the function y= VX-2.
schepotkina [342]
Subscribe 2 ECLIPZZY on Yt
7 0
3 years ago
PLEASE ANSWER ASAP!! Will give brainliest!!
OLga [1]

Answer:

B.(2,1)

Step-by-step explanation:

The line segment AB will translate onto segment AB' by the translation,

(x+2, y+1)

You add 2 to the x value and 1 to the y value of segment AB.

3 0
3 years ago
Please show work and thank youuu
Assoli18 [71]

Answer:  6\sqrt{3}

======================================================

Explanation:

Method 1

We can use the pythagorean theorem to find x.

a^2+b^2 = c^2\\\\6^2+x^2 = 12^2\\\\36+x^2 = 144\\\\x^2 = 144-36\\\\x^2 = 108\\\\x = \sqrt{108}\\\\x = \sqrt{36*3}\\\\x = \sqrt{36}*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 2

Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2

\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(60^{\circ}) = \frac{x}{12}\\\\\frac{\sqrt{3}}{2} = \frac{x}{12}\\\\x = 12*\frac{\sqrt{3}}{2}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 3

Similar to the previous method, but we'll use tangent this time.

Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)

\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{x}{6}\\\\\sqrt{3} = \frac{x}{6}\\\\x = 6\sqrt{3}\\\\

-----------------------------------

Method 4

This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.

Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.

\text{long leg} = (\text{short leg})*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

The short leg is always opposite the smallest angle (30 degrees).

3 0
2 years ago
18 × (-2) ÷ 5 enter your anwser in decimal form
Blizzard [7]

Answer:

7.2

Step-by-step explanation:

first divide -2 by 5= -2/5

multiply 18 by -2/5=-36/5

divide 36 by 5=7.2

4 0
3 years ago
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