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Mumz [18]
3 years ago
10

A round mirror has a radius of 5.3 inches. What is the area of the mirror in square inches, rounded to the nearest tenth?

Mathematics
1 answer:
GrogVix [38]3 years ago
7 0

Answer:

88.2 squared

Step-by-step explanation:

The formula to find the area of a circle is <em>a = pi * r ^2</em>

Let's replace the values that we know.

a = 3.14 x 5.3 ^2

First, we should do 5.3 ^2, which is 28.09.

a = 3.14 x 28.09

Now we are able to do 3.14 x 28.09 which is 88.2026

But that isn't it! We need to round to the nearest tenth, which is this digit:

88.<u>2</u>026

Since next to the 2 there is a 0, you take out all the numbers after that 2. Which leaves you with:

88.2

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45 miles per hour is equal to 45 miles per 60 minutes. Let’s make it into a ratio, 45:60, and simplify it to 3:4 by dividing each by 15. Now, we can multiply the simplified ratio by 10 to get 30:40, which translates to 30 miles in 40 minutes.

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The cost of a movie ticket was increased by 15% the old price was eight dollars how much are they now
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Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the
Igoryamba
First let's try to find the equation in this form : <span>y = mx + c 

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span>y= 3x + c
<span>
Now a point that the line passes through is given, (1, 2) 

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span>x=1 and y=2

y = 3x + c

2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c

We found c = -1 

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

m=3 and c=-1

y= mx + c

y= 3x -1

We found the line's equation in this form, y= mx + c

Now let's turn it into this form, ax + by + c = 0

y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0

Final answers,

\boxed { y\quad =\quad 3x-1 }

and 

\boxed { -3x+y+1\quad =\quad 0 }

I hope this was clear enough :)




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