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Ksenya-84 [330]
3 years ago
7

Set up the equation for the area of a triangle in

Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

A=133 A=71.5 A=31.5 A=1

Step-by-step explanation:

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Law of sines: How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3? No triangles can be formed. One t
Vinvika [58]

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

\frac{Sin(A)}{a}=\frac{Sin(B)}{b}

Upon substituting the given values of angle A, and sides a and b, we get:

\frac{Sin(75)}{2}=\frac{Sin(B)}{3}

Upon solving this equation for B, we get:

\Rightarrow 3Sin(75)=2Sin(B)\\  \Rightarrow Sin(B)=\frac{3Sin(75)}{2}\\  \Rightarrow Sin(B)=1.4488\\

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

7 0
2 years ago
Read 2 more answers
PLEASE HELP QUESTION IN PICTURE
sp2606 [1]

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

  • This means that b + 25 + 100 = 180

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

  • b + (25+100)=180
  • b + 125 = 180

Step 2: Subtract 125 from both sides.

  • b + 125 - 125 = 180 - 125
  • b = 55

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

  • This means that 110 = d + 55

2. (Solving)

Step 1: Subtract 55 from both sides.

  • 110-55 = d + 55-55
  • 55 = d

Therefore, d = 55.

5 0
2 years ago
:vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
madam [21]

Answer:

77% and as a fraction it would be 77/100

Step-by-step explanation:

0.77 is a decimal that is in the hundredths place so you already know that it'll be 77% right away then for the fraction you would just put it over 100 but since 77 is an uneven number you cannot simplify it otherwise you would.

7 0
2 years ago
Name the figure (multiple choice)m
Sveta_85 [38]

Answer: Pentagonal Prism

Step-by-step explanation: Pentagonal Prism the last one.

6 0
2 years ago
Which expression gives the solutions of -5 + 2x² = -6x?
tino4ka555 [31]

Answer:

1 Regroup terms.

2x²−5=−6x

2 Move all terms to one side.

2x² −5+6x=0

3 Use the Quadratic Formula.

x=

−6+2√19/ 4

−6−2√19 /4

4 Simplify solutions

x=

-3−√19 /2

-3+√19/3

Decimal Form: 0.679449, -3.679449

Step-by-step explanation:

i hope it helps plz Mark me brainliest

7 0
2 years ago
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