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deff fn [24]
3 years ago
8

How many solutions does a triangle with side lengths a = 4, A = 112º and b =9 have?​

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

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The slope is 2/3 when simplified

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3 years ago
At what point do the lines y= 2x + 3 and y = 5x - 9 intersect? ​
QveST [7]

Answer:

(4,11)

Step-by-step explanation:

y=2x+3

y=5x-9

the first equation is equal to the second equation so

2x+3=5x-9

put like terms together

2x-5x= -9-3

-3x= -12

divide both sides by -3

.•.x=4

now, use the value of x to find the value of y like this:

y=2x+3 (x=4)

y=2(4)+3

y=8+3

y=11

therefore, the two lines intersect at the point (4,11)

4 0
3 years ago
100 POINTS FOR BOTH SIDES PLZZZ Plzzz help me with this SIDES
Oliga [24]

Answer:

Step-by-step explanation:

5.

point = (x, y)

A = (1\frac{1}{2}, 12)

B = (2\frac{1}{2}, 20)

C = (3, 24)

D = (3\frac{1}{2}, 28)

y/x ratios

\frac{12}{1\frac{1}{2} }

\frac{20}{2\frac{1}{2} }

24/3

\frac{28}{3\frac{1}{2} }

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(1 2/3, 3 1/3) = 3 1/3 ÷ 1 2/3 = 2

(1 1/4, 2 1/2) = 2 1/2 ÷ 1 1/4 = 2

(3, 7) = 7 ÷ 3 = 2 1/3

(4 1/2, 9) = 9 ÷ 4 1/2 = 2

The ratio 7/3 (x = 3 and y = 7) is not proportionally related to the others.

The other ratios are equal to each other and are therefore in proportion.

7. yes

5 0
2 years ago
Does anybody know how to do that
irinina [24]

Answer:

how to do what? there is no question attached

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Double checking to see if i'm right!
Vinvika [58]

Answer:

Yep! That looks right!

Step-by-step explanation:

4 0
3 years ago
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