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prohojiy [21]
3 years ago
14

The length of the sides of a triangular garden are 10m 11m 13m.Find the measure of the angle opposite the longest side to the ne

arest tenth of a degree
Mathematics
1 answer:
Kaylis [27]3 years ago
3 0
C^2=a^2+b^2-2abcosC
13^2=10^2+11^2-2×10×11×cos(°)
169=100+121-220cos(°)
220cos(°)=100+121-169
220cos(°)=52
cos(°)= 13/55
°=cos-1(13/55)
°=76.328°
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3 years ago
Solve the following systems of equations 2a+4b+c=5 ; a-4b=-6 ; 2b+c=7.
SOVA2 [1]

Answer:

a = -2

b = 1

c = 5

Step-by-step explanation:

Given:

2a + 4b + c = 5 ............(1)

a - 4b = - 6

or

a = 4b - 6 .............(2)

2b + c = 7

or

c = 7 - 2b   ...........(3)

substituting 2 and 3 in  1, we get

2(4b - 6 ) + 4b + (7 - 2b) = 5

or

8b - 12 + 4b + 7 - 2b = 5

or

10b - 5 = 5

or

b = 1

substituting b in 2, we get

a = 4(1) - 6

or

a = -2

substituting b in 3, we get

c = 7 - 2(1)

or

c = 5

thus,

a = -2

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c = 5

8 0
2 years ago
Please help I am adding a picture it'll help so much. :)
Nonamiya [84]

I believe the correct answer would be B. 88 Degrees, because 92 + 88 = 180.  Hope this helped!

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4 0
2 years ago
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If you bought a stock last year for a price of 103$ and it has risen 13.5% since then, how much is the stock worth now, to the n
DIA [1.3K]

Answer:

$90.75

Step-by-step explanation:

103*100=(13.5%+100%)*x

10300=113.5x

x=10300/113.5

x=90.74889868

x=$90.75

7 0
2 years ago
In investing $6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple inter
ddd [48]

Answer:

$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Step-by-step explanation:

Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:

3000 x 0.04 + 3200 x 0.09 = 408

2500 x 0.04 + 3700 x 0.09 = 433

2600 x 0.04 + 3600 x 0.09 = 428

Therefore, $ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

7 0
2 years ago
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