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3 years ago

Five hundred US dollars would have exchanged to how many AU $ (Australian dollars)?

Mathematics

2 answers:

Alex17521 [72]3 years ago

7 0

Answer:

644.62

Step-by-step explanation:

jenyasd209 [6]3 years ago

3 0

Answer:

644.62000

i think RIGHT YES

Step-by-step explanation:

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A circle has a central angle measuring startfraction 7 pi over 6 endfraction radians that intersects an arc of length 18 cm. wha

mash [69]

The radius of this circle is (B) 4.9 cm.

<h3>To find the radius of the circle:</h3>

To solve this problem, we need to, first of all, convert the angle from radians to degrees.

data;

length of an arc = 18cm
angle = 7/6π rads
π= 3.14

$\frac{7\pi }{6rads} =210^{0}$

Length of an Arc:

The formula for the length of an arc is given:

$l_{arc} =$ θ/360 × $2\pi r$

Let's substitute the values and solve:

$18=\frac{210}{360} *2\pi r\\18=3.663r\\r=\frac{18}{3.663} \\r=4.9cm$

From the calculations above, the radius of this circle is 4.9cm.

Therefore, the radius of this circle is (B) 4.9 cm.

Know more about radius here:

brainly.com/question/24375372

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Complete question

A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.

(A) 3.7 cm

(B) 4.9 cm

(D) 15.4 cm

8 0

2 years ago

Can someone help me please

Step2247 [10]

Answer:

determine the median of the x-values and the median of the y-values.

Step-by-step explanation:

6 0

3 years ago

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Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices left parenthesis 4 comma 3

Sedbober [7]

So we have three points A(4,3), B(4,4) and C(7,4).
We introduce a fourth point D(7,3).
We obtain a rectangle ABCD. By rotating the rectangle,
around the y axis, we get two cylinders. Denote the
first cylinder C1 and the inner cylinder with vertices AB by C2.
Computing the volume of C1:
$\pi r^2h=\pi7^2\times1=49\pi$
Computing the volume of the cylinder C2:
$\pi r_2^2h=\pi4^2\times1=16\pi\text{ here the height is 1 again and the radius 4}$
In order to find the volume of the <span>hollow tube, simply compute the difference of the two obtained values like this:
</span> $49\pi-16\pi=33\pi$
Now, in order to find the <span>volume of the solid generated by revolving the region enclosed by the triangle, simply divide the previous </span>value over two like this:
$\frac{33\pi}{2}$

Answer $\frac{33\pi}{2}$

4 0

3 years ago

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Three angles on a straight line. The first and second angles each measures 25°. What does the third angle measure?

lara31 [8.8K]

Answer:

130

Step-by-step explanation:

A straight like measures 180°

25+25=50

180-50=130

plz mark brainliest :)

6 0

3 years ago

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What are the correct answers and why? Simple and concise explanation please!!!

dezoksy [38]

Answer:

$\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}$

Step-by-step explanation:

$(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)$

$f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1$

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

$-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8$

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

$-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4$

$In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.$

6 0

3 years ago

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