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Phoenix [80]
3 years ago
7

Find the missing side or angle. Round to the nearest tenth.

Mathematics
2 answers:
Sladkaya [172]3 years ago
5 0

Answer:

b=2.7

Step-by-step explanation:

using sine rule,,,

gavmur [86]3 years ago
4 0

Step-by-step explanation:

So for this problem, we need the missing angle A. From there, we can use the law of sines to compute length of b.

So the sum of the interior angles of a triangle is 180. With that in mind, we can make an equation to fine the measure of angle A.

53 + 80 + A = 180

133 + A = 180

A = 47

Now that we have the angle of A, we can use the law of sines to fine the length of b.

b / sin(B) = a / sin(A)

b = sin(B) * a / sin(A)

b = sin(80) * 2 / sin(47)

b = 2.693

Now round that to the nearest tenth to get

b = 2.7

Cheers.

You might be interested in
Ian measured a city park and made a scale drawing. In real life, the soccer field is 114 meters long. It is 19 millimeters long
ioda

Answer:

1 mm : 6 m

Step-by-step explanation:

Take the 19 mm and divide it by 114 meters. to get the scale

19/114  =  1/6

1 mm : 6 meters

8 0
3 years ago
Please help!!
ZanzabumX [31]

The two linear equations in two variable is:

12 x + 3 y = 40

7 x - 4 y = 38

(a) For a system of equations in two Variable

a x + by = c

p x + q y = r

It will have unique solution , when

\frac{a}{p}\neq \frac{b}{q}\neq\frac{c}{r}

As, you can see  that in the two equation Provided above

\frac{12}{7}\neq \frac{3}{-4}\neq \frac{40}{38}

So, we can say the system of equation given here has unique solution.

(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.

1. 12 x+3 y=40

2. 7 x-4 y=38

Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),

L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)

                             = 30 -10.20

                               = 19.80≠ R.H.S that is 40.

Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)

                                                  = 17.5 +13.6

                                                  = 31.1≠R HS that is 38

So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of  this system of the equation.


5 0
2 years ago
What is the solution to the system of equations?<br> y = -5x + 3<br> y = 1
Gekata [30.6K]

9514 1404 393

Answer:

  (x, y) = (2/5, 1)

Step-by-step explanation:

Substitute for y and solve for x.

  1 = -5x +3

  -2 = -5x . . . . . . subtract 3

  2/5 = x . . . . . . divide by -5

The solution is (x, y) = (2/5, 1).

4 0
2 years ago
Show work and solve for √ ( 5 x − 9 ) − 1 = x.
Mandarinka [93]

sqrt (5x - 9) - 1 = x

sqrt(5x - 9) = x + 1

Square both sides:_

5x - 9 = x^2 + 2x + 1

x^2 - 3x + 10 = 0

(x - 5)(x + 2) = 0

x = 5 or -2.

Lets look for for any extraneous solutions:-

x = 5 ;  sqrt (5*5-9) - 1 = sqrt16 - 1 =  3  and  x = 3  (right hand side of equation)

so x = 5 is a solution

x = -2:  sqrt(5*-2 - 9) - 1 =  sqrt (-19) - 1  and x = -2  so this is extraneous

Answer:- One solution x = 5

4 0
3 years ago
Read 2 more answers
[50 POINTS]
Zina [86]
A^2 + 2AB + B^2 = (A + B)^2 ==>

16X^2 + 40X + 25 = 
= (4X)^2 + 2*4*5X + 5^2 = 
= (4X + 5)^2 

<span>(4x + 5)(4x + 5)</span>
5 0
3 years ago
Read 2 more answers
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