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Lostsunrise [7]
4 years ago
15

The lengths of the sides of a triangular garden are 10m, 11m, and 13m. find the measure of the angle opposite the longest side t

o then nearest tenth of a degree
Mathematics
1 answer:
Zinaida [17]4 years ago
4 0
We know that
applying the law of cosines
c²=a²+b²-2*a*b*cos C

in this problem
a=10 m
b=11 m
c=13 m
C=?

c²=a²+b²-2*a*b*cos C----> cos C=[a²+b²-c²]/[2*a*b]
cos C=[10²+11²-13²]/[2*10*11]----> cos C=0.2364
C=arc cos (0.2364)----> C=76.33°

the answer is
76.3°
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3 − m = −2 (m + 6); m = −15 Yes or No
Nimfa-mama [501]

Answer:

3 − m = −2 (m + 6); m = −15    Yes

5 (p + 3) = −35; p = −4            No

8q = 3 (10 + q); q = 6             Yes


Step-by-step explanation:

3 − m = −2 (m + 6)

3 - m = -2m - 12

m = -15

Answer is Yes


5 (p + 3) = −35

5p + 15 = -35

5p = - 50

p = -10

Answer is  No


8q = 3 (10 + q)

8q = 30 + 3q

5q = 30

q = 6

Answer is  Yes

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Solve for 2 unknowns : 3a+4b=9 ; 2a+2b=6
BARSIC [14]
Let us take the second equation first
2a + 2b = 6
Dividing both sides by 2 we get
a + b = 3
a = 3 - b
Putting the value of a in the first equation we get
3a + 4b = 9
3(3 - b) + 4b = 9
9 - 3b + 4b = 9
b = 9 - 9
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Now putting the value of b in the second equation we get
a + b = 3
a + 0 = 3
a = 3
So the value of the unknown variable a is 3 and the value of the unknown variable b is 0.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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