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Hitman42 [59]
4 years ago
12

Given the following triangle, if b = 9 and B = 15°, find a.

Mathematics
1 answer:
NeX [460]4 years ago
6 0
The picture in the attached figure

we know that
Applying the law of sines
b/sin B=a/sin A------> a=b*sin A/sin B
b=9
B=15°
A=180-(90+15)-----> A=75°
a=?
a=b*sin A/sin B-----> a=9*sin 75/sin 15----> a=33.59 units

the answer is
33.59 units


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Mandarinka [93]
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v = \pi {r}^{2} h

v = 3.14 \times  {2}^{2}  \times 3

v = 37.68 \:  {cm}^{3}

<h3>Volume of the rectangular prism:</h3>

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v = 210 \:  {cm}^{3}

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max2010maxim [7]

Answer:

x = -8

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Step-by-step explanation:

to solve this expression using simultaneous equation, we would say let

y =9............................................. equation 1

 6x + 5y =-3............................................equation 2

substitute equation 1 into equation 2

-3 = 6x + 5y............................................equation 2

6x + 5(9) = -3

6x + 45 = -3

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6x = -3-45

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divide both sides by the coefficient of x which is 6

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4 0
3 years ago
Slope: -3/5;y-intercept: -1/5​
astraxan [27]

Answer:

y= -3/5x - 1/5

Step-by-step explanation:

The slope formula:

y=mx+b

m = slope, which is -3/5 in your case

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Simply plug it in and you get your answer.

6 0
3 years ago
The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r ​
dusya [7]

Answer:

r=\frac{14}{3}

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

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2 years ago
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