First of all, sorry for not including a picture - I hope I can describe this well enough:
Call the centre of the circle O, the chord AB (touching the circumference at A and B) and the midpoint of AB M. From circle theorems, we know that a radius, passing through the midpoint of a chord, will be perpendicular to it. Therefore we have a right-angled triangle OMA, with the hypotenuse OA forming the radius of length 13in, the line OM being 5in as stated in the question, and the side AM being an unknown.
By Pythagoras' theorem, AM = <span>√(13^2 - 5^2) = 12in (it's a 5,12,13 Triple)
Because M is the midpoint of AB, this value needs to be doubled to get the length of AB as 24in. One inch is 2.54cm (3sf), so the length of the chord is:
24 * 2.54 = 60.96cm, which rounds to 61.0cm (3sf)
I hope this helps
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Answer:
I believe the answer is $20,073.38
Step-by-step explanation:
Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.
Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.
Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.
The rate of change will be positive and a point in the graph will be (1,250);
the function then would be y = 250x;
after 1 year she will owe USD 5,250;
she will have to make 33 payments.
How to form equation using slope and one point?
y - y1 = m(x - x1) is the equation of a straight line's point slope form, where m is the line's slope and (x1, y1) is the point through which the provided line passes.
Using slope-point equation, the equation for the payment can be taken as:
y-250 = [(500-250)/(2-1)]*(x-1)
y - 250 = 250*(x-1)
y = 250 + 250x - 250 = 250x;
Putting x = 12, for a year the amount paid is USD 3,000.
Amount she owes = USD (8250-3000) = USD 5,250;
Total amount to be paid (in USD) = 8250
Amount paid per month (in USD) = 250
Thus, number of payments required = 8250/250 = 33
Thus, the rate of change will be positive and a point in the graph will be (1,250); the function then would be y = 250x; after 1 year she will owe USD 5,250; she will have to make 33 payments.
To learn more about slope point equation form tap on the link below:
brainly.com/question/24907633
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Solutions
0.9 to the nearest tenth is 0.9. To round something it has to be over 5.
Answer:
Radius is 4
Step-by-step explanation:
