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sweet [91]
3 years ago
11

each exterior angle of a regular n gon shaped gazebo at Logan Park measures 22 1/2 degrees each exterior angle of a regular n go

n shake gazebo at Cerro Park measures 15 15/23 degrees. How many sides does a gazebo at Logan Park is different from the gazebo at Cerro Park ​
Mathematics
2 answers:
lilavasa [31]3 years ago
7 0

Answer:

The difference in number of sides from one park to the next is 7

Step-by-step explanation:

For all polygon's the exterior angles combine to measure to 360 degrees. So to find the number of sides of each gazebo, we simply divide 360 by the measure of each individual exterior angle. We'll start with Logan Park.

360/22.5 = 16 sides

Now we can do the same with Cerro Park.

360/15.65 = 23 sides

Therefore, the difference in sides would be 7

23 - 16 = 7

ivolga24 [154]3 years ago
4 0

Answer:

Step-by-step explanation:

the exterior angles of a polygon sum to 360

so the number of sides is 360/45  

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sweaters already on sale for 20% off the regular price cost $28 when purchased with a promotion coupon that allows an additional
r-ruslan [8.4K]

The original price was $50.

To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.

$28/.80 = $35.

Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.

$35/.70 = $50

3 0
3 years ago
PLEASE SOMEONE HELP ASAP AND SHOW THE WORK
julsineya [31]
The sum of two sides of a triangle must be greater than the third side
1) 5+9>14
14>14 It is incorrect so you can’t have these lengths

2)7+7>15
14>15 X

3)1+2>4
3>4 X

4)3+6>8
9>8

6+8>3
14>3

8+3>6
11>6

So the fourth choice is correct
8 0
3 years ago
Use the rule of 78 to find the finance charge refund if the Finance charge was $476 on a 12 month payment plan and the loan was
Lelu [443]

Answer:

finance charge refund is $91.53

Step-by-step explanation:

given data

finance charge F = $476

time t = 12 month

no of payment n = 5

to find out

finance charge refund

solution

we will apply here finance charge refund formula that is

finance charge refund = F × \frac{n * (n+1)}{t* (t+1)}

put here value we get

finance charge refund = 476 × \frac{5 * (5+1)}{12* (12+1)}

finance charge refund = 476 × \frac{5 * (6)}{12 * (13)}

finance charge refund = 476 × \frac{30}{156}

finance charge refund = 476 × 0.1923

finance charge refund = 91.53

so finance charge refund is $91.53

4 0
3 years ago
Hannah and Dawson have both invested money in savings accounts with APYs of 3.2%. If Hannah's account has a balance of $31,000 a
9966 [12]

Answer:

$341.07

Step-by-step explanation:

Hanna and Dawson both invested at 3.2% = 0.032

Hannah has balance of 31,000 in account

Dawson has balance of 42000 in account

Interests earned by both are

1)Hannah -P(1+i)^-n

=31000(1+0.032)^-1

=31000(1.032)^-1

=31000(0.968992)

=$30038.752

=$30038.75

Interest earned by Dawson is $31,000 - $30038.75 = $961.25

2)Dawson-  P(1+i)^-n

=42000(1+0.032)^-1

=42000(1.032)^-1

=42000(0.968992)

=$40697.664

=$$40697.664

Interest earned by Dawson is $42,000 - $40697.66= $1302.32

3) Hence the amount that Dawson earns than is:

=$1302.32-$961.25

= $341.07

3 0
3 years ago
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to
Stolb23 [73]

Answer:

Step-by-step explanation:

To define the perpendicular line we need to first know the slope of the reference line graphed.

m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)

m=(1-5)/(2-0)

m=-4/2

m=-2

For lines to be perpendicular their slopes must satisfy

m1m2=-1, we have a line with a slope of -2 so

-2m=-1

m=1/2, so our perpendicular line is so far

y=x/2+b, it must have point (3,2) so we can solve for b

2=3/2+b

b=1/2, so the swimmer will travel along the line

y=x/2+1/2

6 0
3 years ago
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