All categories

2 years ago

I need help with number 3

Mathematics

1 answer:

Marizza181 [45]2 years ago

8 0

Area of circle = pi r^2 = 78.54
r^2 = 78.54 / pi = 25
r = 5 inches

Each line from centre of the circle to a point on the hexagon = 5 ins

so consider one of the 6 congruent triangles formed from these lines:-
Vertex angle = 60 degrees

sin 30 = 0.5s / 5 (where s = one side of the hexagon).
0.5s = 5*0.5 = 2.5
s = 2.5 / 0.5 = 5

So the perimeter of the hexagon is 6*5 = 30 inches

You might be interested in

HHHHHHHHHHHEEEEEEEEEELLLLLLLLPPPPPPP FIRST RIGHT GITS BRAINLEST

deff fn [24]

Answer:

300

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Please help!!! Find the value of the variable and the measures of the angles.

e-lub [12.9K]

Answer:

x= 38°

<P = 57°

<R = 38

<Q = 85°

5 0

6 months ago

A square of side length s lies in a plane perpendicular to a line L. One vertex of the square lies on L. As this square moves a

user100 [1]

Answer:

Part (A) The required volume of the column is $s^2h$ .

Part (B) The volume be $s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}$ .

Step-by-step explanation:

Consider the provided information.

It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.

Also One vertex of the square lies on L.

Part (A)

Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.

This square moves a distance h along L, and generate a corkscrew-like column with square.

The cross section will remain the same.

So the cross section area of original column and the cross section area of twisted column at each point will be the same.

The volume of the column is the area of square times the height.

This can be written as:

$s^2h$

Hence, the required volume of the column is $s^2h$ .

Part (B) What will the volume be if the square turns twice instead of once?

If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.

$s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}$

Hence, the volume be $s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}$ .

5 0

3 years ago

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower? Round answer t

r-ruslan [8.4K]

Answer: Tthe tower is 129 feet tall.

Step-by-step explanation:

According to trigonometry in a right triangle:

$\tan\theta =\dfrac{\text{Side opposite to }\theta}{\text{Side adjacent to }\theta}$

Let x be the height of the tower.

Given , $\theta=65^{\circ}$

Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.

$\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}$

Hence, the tower is 129 feet tall.

3 0

2 years ago

How many solutions are there to the equation below?

Anvisha [2.4K]

We will see that the equation has only one solution, so the correct option is B.

<h3>How many solutions an equation has?</h3>

For an equation of the form:

p(x) = C

Where p(x) is an expression that depends on x, and C is a constant.

The solutions are all the values of x that make the equality true.

For our case, we have:

x = -5

Notice that there is only one value of x that makes the equality true, if we replace x by -5 we get:

-5 = -5

So that is the only solution for the equation, then we conclude that the equation has only one solution, and the correct option is B.

If you want to learn more about equations, you can read:

brainly.com/question/4344214

6 0

1 year ago