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3 years ago

If acircle is inscribed in a hexagon, which of the following must be true ? Check all that apply.

Mathematics

2 answers:

Papessa [141]3 years ago

6 0

Answer: A. The hexagon is circumscribed about the circle.

D. Each vertex of the hexagon lies outside the circle.

E. The circle is tangent to each side of the hexagon.

Step-by-step explanation:

Given: A circle is inscribed in a hexagon.

Then the hexagon is circumscribed about the circle.

Each vertex of hexagon lies outside the circle.

As each side of hexagon is just attached to the circle not passing through the circle, thus the circle is tangent to each side of the hexagon.

Since circle is a closed curve and hexagon is regular polygon with 6 sides, they cannot be congruent because they have different shapes.

Alecsey [184]3 years ago

5 0

A. The hexagon is circumscribed about the circle .
D. Each vertex of the hexagon lies outside the circle .
E. The circle is tangent to each side of the hexagon .

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It x, y, and z are positive intergers and 3x = 4y = 7z, then the least possible value of x + y + z is???

Dmitry [639]

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3 years ago

Is it a zero slope when the zero is the numerator of a fraction?? Ex:0/29

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3 years ago

Perry borrows $350 at a simple interest rate of 4.5%. Perry pays back the loan in 30 months. How much interest does Perry pay on

Nitella [24]

Answer: the interest on the loan is $39.38

Step-by-step explanation:

The formula for determining simple interest is expressed as

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I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

P = $350

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3 years ago

A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the

suter [353]

Answer:

$V = 518cm^3$

Step-by-step explanation:

Given

$h = 15cm$

$R = 6cm$

$r =5cm$

Required

The volume of the remaining cylinder

Before the cut-out, the cylinder has a volume (V) of:

$V = \pi R^2h$

After the cut-out, the cylinder has a volume of:

$V = \pi [R^2 -r^2]h$

So, we have:

$V = 3.14* [6^2 -5^2]*15$

$V = 3.14* [36 -25]*15$

$V = 3.14* 11*15$

$V = 518cm^3$

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3 years ago

Find the difference quotient off, that is, find fly+h)-f(x) h h#0, for the following function. Be sure to simplify. f(x) = x^2 -

Sloan [31]

The difference quotient for the function f(x) is $h+2x-7$

Given :

Difference quotient formula

$\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}$

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find the difference quotient using the formula

first we find out f(x+h) using given f(x)

replace x with x+h

$f(x) = x^2 - 7x + 8 \\f(x+h)=\mathrm{ }\left(x+h\right)^2-7\left(x+h\right)+8\\Expand \; and \; simplify\\f(x+h)=x^2+2xh+h^2-7\left(x+h\right)+8\\f(x+h)=x^2+2xh+h^2-7x-7h+8$

Now replace it in our formula and also replace f(x)

$\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}\\ \frac{x^2+2xh+h^2-7x-7h+8-(x^2 - 7x + 8)}{h} \\\frac{x^2+2xh+h^2-7x-7h+8-x^2 + 7x - 8}{h} \\\\\frac{h^2+2xh-7h}{h}\\factor \; out \; h\\\frac{h\left(h+2x-7\right)}{h}\\h+2x-7$

Learn more :brainly.com/question/23630564

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3 years ago