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2 years ago

Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 7, and b = 18.

Mathematics

1 answer:

zzz [600]2 years ago

8 0

Answer:

none

Step-by-step explanation:

We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.

According to the 'Law of Sines- Ambiguous Case', we have,

If a < b×sinA, then no triangle is possible.

If a = b×sinA, only one triangle is possible

If a > b×sinA, two triangles are possible.

So, we have,

b×sinA = 10 × sin30 = 10 × 0.5 = 5.

Now, as

4 = a < bsinA = 5.

We get, according to the rule, no triangle is possible.

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What is an equation of the line that passes through the point (3,-1) and (8, 9)?

Evgesh-ka [11]

Answer:

4) y = 2x - 7

Step-by-step explanation:

First we have to find the slope by using the following formula....

let (3, - 1) be $(x_{1}, y_{1} )$ , let (8, 9) be $(x_{2} ,y_{2} )$ , and m be the slope, then....

$m = \frac{y_{2} -y_{1} }{x_{2} - x_{1} } = \frac{9 + 1}{8 - 3} = \frac{10}{5} = 2$

Now that we know the slope we can find the equation of the function by using point-slope for of the function which look like this.....

$y -y_{1} = m(x - x_{1} )\\y + 1 = 2(x - 3)\\y + 1 = 2x - 6\\y = 2x - 7$

3 0

2 years ago

What is the answer to 3p-2=-29

tatuchka [14]

3p-2=-29

Add 2 to both sides

3p= -27

Divide 3 on both sides

Final Answer: p= -9

3 0

2 years ago

Read 2 more answers

Simplity find the quotient and the remainder of (2x2+9x+8)÷(x+2)

Nuetrik [128]

That’s what I got I didn’t know how to type it so I just took a photo

8 0

2 years ago

What does a=? b=? Angle B=?

Kobotan [32]

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

5 0

2 years ago

F(x)=2x-3 g(x)=x^2+1 find g(2)

Hitman42 [59]

Answer:

$g(2)=5$

Step-by-step explanation:

since g(x) is equal to $x^2+1$ , you just plug in the value of 2 for x, to get $2^2+1$ , and 2 to the power of 2 (also known as 2 squared) is equal to 4, which makes your equation $4+1$ , which equals 5.

3 0

2 years ago