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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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WHAT VALUE IS EQUIVALENT TO (7+3)^2 + (8-1) X 5 EQUAL
sdas [7]

Answer:

135

Step-by-step explanation:

(7+3)^2 + (8-1) * 5

Parentheses first

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Exponents next

100 + 7*5

Multiply

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7 0
2 years ago
Is 18 and 0.3 equivalent
grigory [225]

Answer:

No

Step-by-step explanation:

Because 0.3 is a decimal and 18 is a whole number.

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5 0
3 years ago
Solve for x: 6 x2 + 2x - 3 2 = 0
Zigmanuir [339]

I think the answer is 10 because:

6x2=12

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make the like terms together = 12-32+2x=0

= -20+2x=0

again make the like terms together = 2x=0+20 [sign changes when it goes to the other side]

so, 2x=20

x=20/2 [ multiplication will change into division when it goes to the other side]

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8 0
2 years ago
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stiv31 [10]

Answer:

B

C

B

Step-by-step explanation:

1.  Percent means out of 100

8% = 8/100

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B

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W = .48 *180

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C

3. Is means equals and of means multiply

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Divide each side by 1.25

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6 0
3 years ago
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sineoko [7]
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8 0
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