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2 years ago

6

On average, a human hair grows about 1.3 centimetres per month. At this rate, how long would a hair grow if it went uncut for tw

o years?

2 answers:

Anton [14]2 years ago

6 0

Answer:

31.2 cm

Step-by-step explanation:

1.3 time 24

goldenfox [79]2 years ago

4 0

Answer:

31.2 centimetres.

Step-by-step explanation:

1.3 * 12(months) = 15.6

15.6 * 2(an extra 12 months) = 31.2

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Q3: Identify the graph of the equation and write and equation of the translated or rotated graph in general form. (Picture Provi

natta225 [31]

Answer:

b. circle; $2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

Step-by-step explanation:

The given conic has equation;

$x^2-5x+y^2=3$

We complete the square to obtain;

$(x-\frac{5}{2})^2+(y-0)^2=\frac{37}{4}$

This is a circle with center;

$(\frac{5}{2},0)$

This implies that;

$x=\frac{5}{2},y=0$

When the circle is rotated through an angle of $\theta=\frac{\pi}{3}$ ,

The new center is obtained using;

$x'=x\cos(\theta)+y\sin(\theta)$ and $y'=-x\sin(\theta)+y\cos(\theta)$

We plug in the given angle with x and y values to get;

$x'=(\frac{5}{2})\cos(\frac{\pi}{3})+(0)\sin(\frac{\pi}{3})$ and $y'=--(\frac{5}{2})\sin(\frac{\pi}{3})+(0)\cos(\frac{\pi}{3})$

This gives us;

$x'=\frac{5}{4} ,y'=\frac{5\sqrt{3} }{4}$

The equation of the rotated circle is;

$(x'-\frac{5}{4})^2+(y'-\frac{5\sqrt{3} }{4})^2=\frac{37}{4}$

Expand;

$(x')^2+(y')^2-\frac{5\sqrt{3} }{2}y'-\frac{5}{2}x'+\frac{25}{4} =\frac{37}{4}$

Multiply through by 4; to get

$4(x')^2+4(y')^2-10\sqrt{3}y'-10x'+25 =37$

Write in general form;

$4(x')^2+4(y')^2-10x'-10\sqrt{3}y'-12 =0$

Divide through by 2.

$2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

8 0

3 years ago

What is 0.194 repeating as a fraction

laiz [17]

Convert to a fraction by placing the decimal number over a power of 10. So the awnser is 97/500
I hope I helped you

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3 years ago

What is the first number in 6523÷7?

BabaBlast [244]

931 is the frst number and the rest ar decimals ie 931.857142.......

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2 years ago

Help me with my math hw <br> Don't do fake answers

Ymorist [56]

I can help with 3

Each side is different because the rectangle has opposite sides, so the equations should be different

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2 years ago

Using V = /wh, what is an expression for the volume of the following rectangular prism?

Ksju [112]

V=15/2x

your welcome

brainliest

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2 years ago