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Iteru [2.4K]
3 years ago
15

Given: ∆AKM, R = 2, m∠A = 33°, O∈ AM . Find: perimeter of ∆AKM

Mathematics
2 answers:
Gwar [14]3 years ago
8 0

Answer:

∆AKM is a right triangle for it is inscribed in semicircle O.

AM = diameter of semi-circle O = 2R = 2(2) = 4

%22AK%22%2F%22AM%22=cos%2833%5Eo%29

AK+=+AM%2Acos%2833%5Eo%29

AK+=+4cos%2833%5Eo%29

%22KM%22%2F%22AM%22=sin%2833%5Eo%29

KM+=+AM%2Asin%2833%5Eo%29

KM+=+4sin%2833%5Eo%29

The perimeter of a triangle is the sum of the three sides.

perimeter=AK%2BKM%2BAM

perimeter=4cos%2833%5Eo%29%2B4sin%2833%5Eo%29%2B4

Approximately 9.533238412

Step-by-step explanation:

sergeinik [125]3 years ago
7 0

Answer:

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

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Which statement correctly identifies a local minimum of the graphed function? Over the interval [–3, –2], the local minimum is 0
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C.

Step-by-step explanation:

As we can see on the graph C is our answer.

4 0
3 years ago
Convert the credit card rate to the APR. Ohio, 0.02192% daily rate. Please round your answer to the nearest percent. (zero decim
kogti [31]

Answer:

8%

Step-by-step explanation:

APR means annual percentage rate.

To convert the daily rate to an APR, multiply the daily rate by the number of days in a year

365 days = 1 year

0.02192% x 365 = 8.0008%

To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

The tenth digit is 0, so the number would be rounded off to 8%

3 0
3 years ago
Using technology, determine the monthly payment on a 35 month loan of $28,000 at 8.1% compounded annually. Round you answer to t
sdas [7]
Present Value of an annuity is given by the formular
PV = P(1 - (1 + r)^-n)/r; where PV = $28,000, r = 0.081/12 = 0.00675, n = 35 and P is the periodic (monthly) payment.

P = PVr/(1 - (1 + r)^-n) = (28,000 x 0.00675)/(1 - (1 + 0.00675)^-35) = 189/0.2098 = 900.90

Therefore, the monthly payment is $900.90
7 0
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What has been your biggest learning for this year?
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Answer: my biggest learning is for this year is how bill of rights works

Step-by-step explanation:

4 0
2 years ago
Enter the equation of the line in slope-intercept form. Slope is -1/2, and (-9,4) is on the line. The equation of the line is y=
dezoksy [38]

Answer:

y=\displaystyle-\frac{1}{2}x-\displaystyle\frac{1}{2}

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x is 0)

<u>1) Plug in the slope (</u><u><em>m</em></u><u>)</u>

We're given that the slope is \displaystyle-\frac{1}{2}. In y=mx+b, replace <em>m</em> with \displaystyle-\frac{1}{2}:

y=\displaystyle-\frac{1}{2}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=\displaystyle-\frac{1}{2}x+b

We're given the point (-9,4). Plug this point into the equation as (x,y) and solve for <em>b</em>:

4=\displaystyle-\frac{1}{2}(-9)+b\\\\4=\displaystyle\frac{9}{2}+b

Subtract \displaystyle\frac{9}{2} from both sides to isolate <em>b</em>:

4-\displaystyle\frac{9}{2}=\displaystyle\frac{9}{2}+b- \displaystyle\frac{9}{2}\\\\\displaystyle-\frac{1}{2} = b

Therefore, the y-intercept is \displaystyle-\frac{1}{2}. Plug this back into y=\displaystyle-\frac{1}{2}x+b as <em>b</em>:

y=\displaystyle-\frac{1}{2}x+(\displaystyle-\frac{1}{2})\\\\y=\displaystyle-\frac{1}{2}x-\displaystyle\frac{1}{2}

I hope this helps!

6 0
3 years ago
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