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ohaa [14]
2 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]2 years ago
8 0

Answer: The answer is zero.

Step-by-step explanation:

sweet [91]2 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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3 years ago
Help me class8 (surds)​
Mashcka [7]

Answer:

  • \cfrac{991\sqrt{2} }{80}

Step-by-step explanation:

For a start simplify each of the roots:

  • \sqrt{72} =\sqrt{36*2} =6\sqrt{2}
  • \sqrt{50} =\sqrt{25*2} =5\sqrt{2}
  • \sqrt{128} =\sqrt{64*2} =8\sqrt{2}
  • \sqrt{98} =\sqrt{49*2} =7\sqrt{2}

Now simplify the expression in steps:

\sqrt{72}-\cfrac{48}{\sqrt{50} }  -\cfrac{45}{\sqrt{128} }  +2\sqrt{98} =

6\sqrt{2}-\cfrac{48}{5\sqrt{2} }  -\cfrac{45}{8\sqrt{2} }  +2*7\sqrt{2} =

6\sqrt{2}-\cfrac{48*8+45*5}{5*8\sqrt{2} }  +14\sqrt{2} =

20\sqrt{2}-\cfrac{609}{40\sqrt{2} } =

20\sqrt{2}-\cfrac{609*\sqrt{2} }{40\sqrt{2} *\sqrt{2} } =

20\sqrt{2}-\cfrac{609\sqrt{2} }{40*2 } =

20\sqrt{2}-\cfrac{609\sqrt{2} }{80 } =

\sqrt{2} (20-7\cfrac{49}{80} )=

\sqrt{2} *12\cfrac{31}{80} =

\cfrac{991\sqrt{2} }{80}

3 0
2 years ago
Marcelo can select from 2 types of oranges and 3 types of peaches. If he randomly selects 1 orange and 1 peach, how many possibl
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6

2x3=6

oranges-
peaches-

possible combination:
1-

2-

3-

4-

5-

6-
8 0
3 years ago
Please help me with this question it would really help because I have a test on this tomorrow and I’m confused. Thank you!
marin [14]

Answer:

it basically says to write an equation Wich would be 22 and 12 using distributive property and is multiplication

Step-by-step explanation:

so... 22

x12

----

264

5 0
3 years ago
Read 2 more answers
562 ÷ Choose... = 14 R2
Zolol [24]

Answer:

7868

Step-by-step explanation:

⇒ This can be written algebraically (with a variable <em>x</em>) as:

562 ÷ x = 14

⇒ Convert the division as a fraction:

\frac{562}{x} = 14

⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable <em>x</em>:

562 · \frac{562}{x} = 14 · 562

⇒ Simplify:

x = 7868

<u>Answer:</u> 7868

<em></em>

<em>Hope this helps!</em> :)

4 0
3 years ago
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