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slamgirl [31]
1 year ago
6

Find the indicated angle or side. Give an exact answer. Find the measure of angle A in degrees.

Mathematics
1 answer:
Anna35 [415]1 year ago
8 0

Step-by-step explanation:

law of cosine :

c² = a² + b² - 2ab×cos(C)

with c being the side opposite of C.

so, in our case

3² = 3² + 3²×3 - 2×3×3×sqrt(3)×cos(A)

0 = 3²×3 - 18×sqrt(3)×cos(A)

27 = 18×sqrt(3)×cos(A)

cos(A) = 27/(18×sqrt(3)) = 3/(2×sqrt(3)) =

= 0.866025404...

A = 30°

FYI : since it is an isoceles triangle, C = A = 30°.

and therefore B = 180 - 30 - 30 = 120°.

as the sum of all angles in a triangle is always 180°.

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The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
3 years ago
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If there are four quarters in a dollar, which expression correctly shows how you might figure out how many quarters are in $9.25
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Answer:

37

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A film lasts 2 hours and 35 minutes. Greg is going out at 8.15 . If he starts watching the film at 5.30 will he have time to war
Dmitry [639]

Answer:

Yes, he will have enough time to watch the entire film.

Step-by-step explanation:

5:30 to 6:30 is 1 hour of the movie completed.

6:30 to 7:30 is 2 hours completed.

7:30 plus 30 minutes brings him to 8:00.

8:00 plus the additional 5 minutes brings Greg to 8:05.

His movie ends at 8:05, so he will be able to watch the entire movie before going out.

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3 years ago
Y is inversely proportional to (x+2)² when x=1, y=2
REY [17]

Answer:

y = 18 / (x + 2)²

Step-by-step explanation:

Inversely proportional

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