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3 years ago

Find the sun of the interior angles for each polygon

Mathematics

1 answer:

sergeinik [125]3 years ago

7 0

Answer:

360

1080

Step-by-step explanation:

We can find the sum of the interior angles of any regular polygon by using this formula

(n - 2) * 180

where n = number of sides

For the square: the square has 4 sides

To find the sum of the interior angles we simply substitute 4 for n in the formula

Formula: (n - 2) * 180

Substitute 4 for n

(4 - 2 ) * 180

Subtract 4-2

2 * 180

Multiply

= 360

The sum of the interior angles of the first polygon is 360

For the second one:

We will repeat this exact process the only difference is the value of "n"

The polygon shown has 8 sides

So to find the sum of the interior angles we simply substitute 8 for n in The formula

Formula (n - 2) * 180

Substitute 8 for n

(8 - 2) * 180

Subtract 8 - 2

6 * 180

Multiply

= 1080

The interior angles of a 8 sided figure will add up to 1080

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You need to rent a truck for one day to move equipment. FAST Movers will rent the truck for $39.95 per day with unlimited mileag

Gekata [30.6K]

Hi there! :)

Answer:

Cost with FAST Movers: $39.95

Cost with SPEEDY Movers: $38.70

⇒ SO, it would be cheaper to go with the SPEEDY Movers.

Step-by-step explanation:

Since the FAST Movers ask for 1 price only and don't charge for mileage, the cost with the FAST Movers would be $39.95.

For the SPEEDY Movers, they ask for a flat rate of $29.95 and charge $0.35 per mile for all miles over 75 miles.

Since you traveled 100 miles, they would charge you for the extra 25 miles (100 - 75 = 25).

They charge $0.35 for 1 mile, so in order to know how much they charge for 25 miles, you'll need to multiply "0.35" by "25" :

0.35 × 25 = $8.75

So for the SPEEDY Movers, you would be charged $29.95 plus $8.75 for the extra miles:

29.95 + 8.75 = $38.70 ⇒ The cost with the SPEEDY Movers

There you go! I really hope this helped, if there's anything just let me know! :)

7 0

4 years ago

If the perimeter of a rectangular picture frame must be less that 200 in, and the width is 36 in. what must the height H of the

fgiga [73]

Answer:

w = width

h = height

2(w+h) < 200

w + h < 100

since w = 36, then

36 + h < 100

h < 100 - 36

h < 64

Step-by-step explanation:

The perimeter of the rectangular picture frame can be calculated by the equation,

2h + 2w = P

where h and w are height and width , respectively. Substituting the known values and the condition for the inequality,

2h + 2(36 in) < 200

The inequality gives h as,

h < 64

Thus, the answer is letter A.

7 0

3 years ago

-3.5 x 0.2 =??? ;w; A. -0.7 B. 0.7 C. -3.3 D. -0.7

Dafna11 [192]

Answer:

A and D

Step-by-step explanation:

It can't be B because of the negative...

It would have to be less than 3.3 since 0.2 is less than and the 3.3 is negative

A and D are the same?

-3.3 * 0.2 = -0.7

3 0

3 years ago

Construct a mathematical model for the following real-life situations(make a table)

zhenek [66]

The mathematical model representing the scenarios described can be expressed as follows :

If n ≤ 8 ; A(n) = 31.25n
If n > 8 ; A(n) = 31.25 + 46.875(n - 8)

T(n) = 15 + 5(n - 1)

1.)

Amount paid per 8 hours at summer job = 250

Additional hours beyond, 8 hours = 1.5 × hourly rate

Let:

hourly rate = p
Number of hours worked = n
Amount earned as a function of n, A(n)

Hourly rate, p = (250 ÷ 8) = 31.25

Therefore, the hourly rate, p at the summer job = $31.25

Overtime pay = 1.5 × 31.25 = $46.875

Therefore,

If n ≤ 8 ; A(n) = 31.25n

If n > 8 ; A(n) = 31.25 + 46.875(n - 8)

2.)

Let :

Number of playing hours = n
Total amount charged as a function of n ; T(n)

Therefore,

T(n) = First hour fee + (charge per additional hour × number of additional hours)

T(n) = 15 + 5(n - 1)

Therefore, the models can be used to calculate the total earning and amount charged for any given hour value.

Learn more :brainly.com/question/18112348

6 0

2 years ago

Find the product of (x – a) and (x - b).

yawa3891 [41]

(x−a)(x−b)

=(x+−a)(x+−b)

=(x)(x)+(x)(−b)+(−a)(x)+(−a)(−b)

=x2−bx−ax+ab

6 0

4 years ago