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2 years ago

7

The table below shows how many triangles are formed when all the diagonals are drawn from one vertex in different regular polygo

ns. Based on the information in the table, which of the following statements is true? The number of triangles formed in any regular polygon is 2 less than the number of sides in the polygon. The number of triangles formed in any regular polygon is half the number of sides in the polygon. All the triangles formed in each regular polygon are congruent. All the triangles formed in each regular polygon are isosceles.

1 answer:

Scrat [10]2 years ago

3 0

Answer:

a

Step-by-step explanation:

You might be interested in

Find the volume and surface area of the composite figure. Give your answer in terms of π. HELP ASAP!!

NARA [144]

Answer:

Part 1) The volume of the composite figure is $620.7\pi\cm^{3}$

Part 2) The surface area of the composite figure is $273\pi\ cm^{2}$

$V=620.7\pi\cm^{3}, S=273\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the volume of the composite figure

we know that

The volume of the figure is equal to the volume of a cone plus the volume of a hemisphere

<em>Find the volume of the cone</em>

The volume of the cone is equal to

$V=\frac{1}{3} \pi r^{2} h$

we have

$r=7\ cm$

Applying Pythagoras Theorem find the value of h

$h^{2}=25^{2} -7^{2} \\ \\h^{2}= 576\\ \\h=24\ cm$

substitute

$V=\frac{1}{3} \pi (7)^{2} (24)$

$V=392 \pi\cm^{3}$

<em>Find the volume of the hemisphere</em>

The volume of the hemisphere is equal to

$V=\frac{4}{6}\pi r^{3}$

we have

$r=7\ cm$

substitute

$V=\frac{4}{6}\pi (7)^{3}$

$V=228.7\pi\cm^{3}$

therefore

The volume of the composite figure is equal to

$392 \pi\cm^{3}+228.7\pi\cm^{3}=620.7\pi\cm^{3}$

Part 2) Find the surface area of the composite figure

we know that

The surface area of the composite figure is equal to the lateral area of the cone plus the surface area of the hemisphere

<em>Find the lateral area of the cone</em>

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=7\ cm$

$l=25\ cm$

substitute

$LA=\pi(7)(25)$

$LA=175\pi\ cm^{2}$

<em>Find the surface area of the hemisphere</em>

The surface area of the hemisphere is equal to

$SA=2\pi r^{2}$

we have

$r=7\ cm$

substitute

$SA=2\pi (7)^{2}$

$SA=98\pi\ cm^{2}$

Find the surface area of the composite figure

$175\pi\ cm^{2}+98\pi\ cm^{2}=273\pi\ cm^{2}$

4 0

3 years ago

Help please !!! Thanks guys

natka813 [3]

Answer:
(b+4) and (b-1)
Explanation:
do a generic rectangle
b times b is b^2
b times 4 = 4b
-1 times b = -1b
-1 times 4 = -4
b^2+4b-1b-4
simplify
b^2+3b-4

3 0

2 years ago

25 POINTS PLEASE HELP

Digiron [165]

Answer:

all i know is that the perimeter is 24

Step-by-step explanation:

i also believe that the Coordinate on the top left is (-4,4) and the one below is (0,4)

6 0

2 years ago

Read 2 more answers

After a dreary day of rain, the sun peeks through the clouds and rainbow forms. You notice the rainbow is the shape of a parabol

lisabon 2012 [21]

Answer:

We are given that,

The equation of the rainbow is represented by the parabola,

$y=-x^2+36$

Now, we are required to find a linear equation which cuts the graph of the parabola at two points.

Let us consider the equation joining the points (-6,0) and (0,36), given by $y=6x+36$ .

So, the corresponding table for the linear equation is given by,

x $y=6x+36$

-6 0

0 36

1 42

6 72

Now, we will answer the questions corresponding the functions.

1. Domain and Range of the rainbow.

Since, the equation of the rainbow is $y=-x^2+36$

So, from the figure, we get that,

Domain is the set of all real numbers.

Range is the set $\{ y|y\leq 36 \}$

<em>Here, domain represents the points which are used to plot the path of the rainbow and range represents the points which are form the rainbow.</em>

Not all points make sense in the range as the parabola is opening downwards having maximum point as (0,36).

2. X and Y-intercepts of the rainbow.

<em>As, the 'x and y-intercepts are the points where the graph of the function cuts x-axis and y-axis respectively i.e. where y=0 and x=0 receptively'.</em>

We see that from the figure below,

X-intercepts are (-6,0) and (6,0) and the Y-intercept is (0,36)

<em>Here, these intercepts represents the point where the parabola intersects the individual axis.</em>

3. Is the linear function positive or negative.

As the linear function is $y=6x+36$ represented by the <em>upward flight of the drone.</em>

So, the linear function is a positive function.

4. The solution of the system of equations is the intersection points of their graphs.

So, from the figure, we see that the equations intersect at the points (-6,0) and (0,36).

<em>Thus, the solution represents the position when both the drone and rainbow intersect each other.</em>

8 0

3 years ago

Read 2 more answers

Choose all lengths that are equal to4 yards 3 feet. *

krok68 [10]

Answer:

5 yards

Step-by-step explanation:

3 feet is one yard. add 4 yards and 1 yard and it is five yards.

3 0

2 years ago