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3 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]3 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 the change of rate for the set of ordered pairs??

Alecsey [184]

Answer:

1/3 I think

Step-by-step explanation:

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3 years ago

What is the multiplication property of equality of 3/4=a/12

Fittoniya [83]

A=9. I hope this is what you are looking for

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3 years ago

A random sample of 384 people in a mid-sized city (city one) revealed 112 individuals who worked at more than one job. A second

Svetlanka [38]

Answer:

99% confidence interval is:

(0.00278 < P1 - P2< 0.15921)

Step-by-step explanation:

For calculating a confidence intervale for the difference between the proportions of workers in the two cities, we calculate the following:

$[(p_{1} - p_{2}) \pm z_{\alpha/2} \sqrt{\frac{p_{1}(1-p_{1})}{n_{1}} + \frac{p_{2}(1-p_{2})}{n_{2}} }$

Where $p_{1}$ : proportion sample of individuals who worked

at more than one job in the city one

$n_{1}$ : Number of respondents in the city one

$p_{1}$ : proportion sample of individuals who worked

at more than one job in the city two

$n_{1}$ : Number of respondents in the city two

Then

α = 0.01 and α/2 = 0.005

and $z_{\alpha/2} = 2.575$

$p_{1} = \frac{112}{384} = 0.2916$

$p_{2} = \frac{91}{432} = 0.2106$

$n_{1}= 384$ and $n_{2}= 432$

The confidence interval is:

$[(0.2916 - 0.2106) \pm 2.575 \sqrt{\frac{0.2916(1-0.2916)}{384} + \frac{0.2106(1-0.2106)}{432} }$

(0.00278 < P1 - P2< 0.15921)

5 0

3 years ago

Please help me. Its due tomorrow

konstantin123 [22]

M= 15
T= 12
Hope this helps!!

7 0

3 years ago

Read 2 more answers

For triangle XYW, the slope of WX is , the slope of XY is 0.56, and the slope of YW is . Which statement verifies that triangle

Paha777 [63]

If lines through XY and YW form a 90° angle, so that Y is a right angle,

then the product of the slopes of the lines through XY and YW must be -1

let the slopes through X,Y and Y,W be $m_X_Y$ and $m_Y_W$ respectively

so

$m_X_Y*m_Y_W=-1$

$m_Y_W= \frac{-1}{m_X_Y}$

$m_Y_W= \frac{-1}{0.56}$

$m_Y_W= -1.786$

Right answer: $m_Y_W= -1.786$

6 0

3 years ago