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4 years ago

Solve the Triangle if possible

Mathematics

1 answer:

babunello [35]4 years ago

4 0

Answer:

Step-by-step explanation:

A )

a / sinA = c / sinC

sinA = a sinC / c

= 56.2 sin 46.32 / 22.1

= 1.84

The value of sin value of an angle can not be more than 1 so the triangle is not possible .

B )

B = 180 - ( 32.76 + 21.97 )

B = 125.27

a / sin A = c / sin C

200 / sin 32.76 = c / sin21.97

c = 74.82 / .5411

= 138.27 m

b / sin B = a / sin A

b / sin 125.27 = 200 / sin 32.76

b = 163.28 / .5411

= 301.75 m

C )

Area of triangle = 1/2 ac sinB

= .5 x 7.2 x 3.4 x sin 42

= 8.19 sq ft .

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Vesnalui [34]

Answer:

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3 years ago

PLEASE HELP!!!!! What is the value of x in the matrix equation below?

Brums [2.3K]

The given matrix equation is,

$1.5\left[\begin{array}{cc}x&6\\8&4\end{array}\right] +y\left[\begin{array}{cc}1&4\\3&2\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]$ .

Multiplying the matrices with the scalars, the given equation becomes,

$\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\$

Adding the matrices,

$\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\$

Matrix equality gives,

$1.5x+y=z\\ 9+4y=z\\ 12+3y=6z\\ 6+2y=2$

Solving the equations together,

$y=-2\\ 3y-1.5x=9\\ -1.5x=9+6\\ x=-10$

We can see that the equations are not consistent.

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3 years ago

Select the answer that correctly orders the set of numbers from greatest to least. 15% ,1/2 , 0.2 , 0.09.

Lilit [14]

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3 years ago

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Musya8 [376]

<h3>The surface area of cube is 162.24 square inches</h3>

<em><u>Solution:</u></em>

<em><u>The surface area of cube is given as:</u></em>

$Surface\ Area = 6s^2$

Where,

"s" is the length of each side of cube

From given,

s = 5.2 inches

Therefore,

$Surface\ Area = 6 \times 5.2^2\\\\Surface\ Area = 6 \times 27.04\\\\Surface\ Area = 162.24$

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