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1 year ago

c) If you are given a circle with center C, how do you locate the vertices of a square inscribed in circle C?

Mathematics

1 answer:

Advocard [28]1 year ago

5 0

Answer: The square is inscribed in a circle that means the square is drawn inside a circle such that it's vertices lie on the circle.

You need to remember that the vertices of the square lie on the circumference of circle and the center of circle is also the midpoint of diagonals of the square i.e. Diagonal of the square is equal to diameter of the circle.

We could also see the image of such figure.

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A circle is divided into 8 equal parts. What is the total angle measure of 4 parts?

snow_lady [41]

Answer:

Step-by-step explanation:

A circle is divided into 8 equal parts means : 360°/8 = 45°

the total angle measure of 4 parts is :

45°×4=180°

4 0

2 years ago

Find the quadratic function that fits the following data. which one function fits.

Oksana_A [137]

Answer:

Step-by-step explanation:

The general rule for the quadratic function is

$y=ax^2+bx+c$

Use the data from the table:

$y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c$

We get the system of three equations:

$\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.$

Subtract these equations:

$\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.$

From the first equation

$b=-120a$

Substitute it into the second equation:

$5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5$

So,

$2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25$

The quadratic function is

$y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25$

4 0

2 years ago

John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun

Monica [59]

The system of inequalities is: $x\geq 3$ and $12x+7y\leq 63$

Explanation

Let $x$ be the amount of live bait and $y$ be the amount of natural bait.

As John would like to get at least 3 pounds of live bait, so the first inequality will be: $x\geq 3$

Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63

So, the cost for buying $x$ pound of live bait $=\$12x$ and the cost for buying $y$ pound of natural bait $=\$7y$