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choli [55]
3 years ago
15

Take a regular pentagon and draw all possible diagonals in it. How many different triangles can be formed by the sides of the po

lygon and its diagonals (as whole segments, not parts of them)?

Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0

Answer:

5 different triangles

Step-by-step explanation:

we know that

The number of diagonals of an n-sided polygon is given by the formula :

n(n − 3) / 2

where

n is the number of sides

In this problem

n=5

substitute

5(5-3)/2=5\ diagonals

see the attached figure to better understand the problem

The number of different triangles that can be formed by the sides of the polygon and its diagonals is equal to 5

so

Triangles

AEB

EDC

BCD

ACD

EBC

see the attached figure

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Jenna earns $10.75 per hour working at the mall. If Jenna worked 27 1/5 hours last week, how much did she earn before taxes were
Otrada [13]

Answer:

$292.40 earned

Step-by-step explanation:

$10.75 x 27 = $290.25

$10.75 x 1/5 = $2.15

$290.25 + $2.15 = $292.40 (total earned)

I hope this helps :)

7 0
3 years ago
Math graph equation. <br> (Picture.)
vladimir1956 [14]

Answer:

y = -2x + 3 is the required equation

Step-by-step explanation:

From the graph we will get two ordered pairs

If we see that When x=0 then y=3  and when x = 1 then  y=1

Now from this we can find the slope of the Graph

So slope of graph = (y2 - y1) / (x2-x1)

                               =(1-3) / (1-0)

                                =-2

So

Slope = m = -2

Now the equation is

y = mx + b

We have to find the value of b

as we have two ordered pairs we can take any of it to find the value of b because line passes through those points

taking (0,3) as a point

y= mx + b

put values

3 = -2*(0) + b

so

b=3


Now the equation of the line in this form is

y = mx + b

which is

y = -2x + 3

5 0
3 years ago
Which is the sum of the interior angles of an octagon?
cupoosta [38]
To find the sum of interior angles, subtract 2 by the number of sides and then multiply the difference by 180.

180 (8-2) = 180(6) = 1080.

1080 is the sum of the interior angles of an octagon

Hope this helps :)
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4 years ago
Simplify the ratio /. Use the conversion 4 qt = 1 gal
kirza4 [7]
......what's the question?

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3 years ago
Oscar has received a $4,000 gift and is looking for a bank to start a savings account. Which option would be the best for him at
Brut [27]

Here is the complete question

A nominal interest rate of 5%

A real interest rate of 5%

A real interest rate of 3%

A nominal interest rate of 3%

Answer:

A real interest rate of 5%

Step-by-step explanation:

A real interest rate of 5% is the best option for oscar. The nominal rate of interest is a type of interest rate that shows the increase in in percentage of money without the depreciation discount that is usually caused by inflation or the payment of tax.

The real rate of interest shows the real increase in the money that has been paid for an investment. This is after inflation has been discounted and all forms of taxes have been paid.

So oscar should invest his $4000 on a savings account whose real interest rate is 5% per year

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