From calculations, we can say that the given tiles will not fit together perfectly.
<h3>How to find the sum of interior angles of a Polygon?</h3>
If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.
Expression for the measure of the interior angle of a polygon,
Interior angle of a polygon = [(n - 2) * 180]/n
Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°
Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°
Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°
To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°
Sum of all interior angles = 108° + 120° + 135° = 363°
Therefore, given tiles will not fit together perfectly.
Read more about Interior angles of a Polygon at; brainly.com/question/224658
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Arranging the given distances from sea level on the number line, we have;
- The error made by taking Egypt as being further from the sea level is assuming that the sea level is at the beginning (left) of the number line.
<h3>How can the number line be used to find the distance from the sea level?</h3>
The given elevation of the lowest points in the six countries are;
Country. Lowest point elevation (m)
China. →. -154
Egypt →. -133
Azerbaijan → -28
Serbia. →. 35
Israel. → -408
Laos. →. 70
Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;
Israel → -408
China → -154
Egypt → -133
Azerbaijan → -28
Serbia. → 35
Laos. →. 70
On a number line, we have;
Israel < China < Egypt < Azerbaijan < Serbia < Laos
Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.
However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).
The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.
Learn more about the number line here:
brainly.com/question/4727909
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SA= 108 m^2 aND the formula for surface area is SA=2bs+b^2
9514 1404 393
Answer:
$3291.60
Step-by-step explanation:
If the loan is amortized in the usual way, the monthly payment is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . . loan of P at rate r for t years
A = $15,000(0.081/12)/(1 -(1 +0.081/12)^(-12·5)) ≈ $304.86
The total of payments is ...
(60 months) × ($304.86/month) = $18,291.60
Then the profit to the bank is ...
$18,291.60 -15,000 = $3,291.60 . . . bank profit
