Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x
So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
Answer:
Simple interest is calculated using initial principle while compound interest is calculated considering the interest also .
Step-by-step explanation:
Interest is the cost of borrowing money, where the borrower pays a fee to the lender for using his money. The interest, typically expressed as a percentage, can either be compounded or simple .
Simple interest is based on the principal amount , while compound interest is based on the principal amount and the interest that adds onto it in every period and the final principle is used for calculating the interest.
Simple interest is calculated on the principal amount of a loan and it's easier to find out than compound interest.
Answer:
3x^2+6x-2
Step-by-step explanation:
(5x2 + 4x + 3) - (2x2 - 2x + 5)
5x^2+4x+3-2x^2+2x-5
3x^2+6x-2
Answer:
(x - 7)² + (y - 3)² = 5
Step-by-step explanation:
The center (h , k) is the midpoint of two end points of diameter
h = (9 + 5) / 2 = 7
k = (4 + 2) / 2 = 3
Equation of circle: (x - h)² + (y - k)² = r²
r = (√(9 - 5)² + (4 - 2)²) / 2 = √5
Equation: (x - 7)² + (y - 3)² = 5
<u>35.12 miles </u><u>is the total number of minutes that it took krissy to run these three miles.</u>
What is a simple definition of time?
The measured or measurable period during which an action, process, or condition exists or continues : duration. b : a nonspatial continuum that is measured in terms of events which succeed one another from past through present to future.
Krissy ran three miles one morning she ran the first mile in time 1 = 11.74
Krissy ran three miles one morning she ran the first mile in time 2 = 11.26
Krissy ran three miles one morning she ran the first mile in time 3 = 12.12
To get total time , we have to add all the time 1,2,3
Total time = Time1 + Time2 + Time3
= 11.74 + 11.26 + 12.12
Total Time = 35.12 <u>miles</u>
Learn more about time
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