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ohaa [14]
3 years ago
13

Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 4, and b = 10.

Mathematics
2 answers:
hichkok12 [17]3 years ago
8 0

Answer: The answer is zero.

Step-by-step explanation:

sweet [91]3 years ago
4 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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Answer:

The correct answer is :  Fourth, PR = 6

Step-by-step explanation:

PR is mid segment ( median line) of the side YZ in the triangle XYZ and is equal it's half.

PR = 1/2 YZ = 1/2 · 12 = 6

PR = 6

God with you!!!

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3 years ago
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Graph the line with slope −2 passing through the point , 5−1.
Allisa [31]

<u>Answer:</u>

<u>y+1=-2(x-5)</u> - Point Slope Form

<u>y=-2x+9</u> - Slope Intercept Form

<u></u>

Step-by-step explanation:

We will be using point-slope formula, as attached in a picture below.

1) Plug in the slope -2 as "m" in point slope form, along with the two points, (5, -1)

<u>y+1=-2(x-5)</u>

2) Next, if you want to put the line into slope-intercept form, you will need to distribute -2 to x and -5:

y+1=-2x+10

3) Now, subtract 1 from both sides:

<u>y=-2x+9</u>

6 0
3 years ago
Mia invests $5,000 in an index fund. After 1 year, the fund's share price has increased by 8%. How much did Mia gain?
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Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.

Step-by-step explanation:

8% is 0.08 >>> add 1 to it = 1.08

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or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400

Hope this helps!

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