The longest side in the triangle is opposite to the largest angle of this triangle. If triangle is acute, then all angles are acute. Acute angle has cosine that is positive.
Use cosine theorem to determine the cosine of the largest angle:
where 
is the largest angle.
Then
Since 
then
Divide this inequality by 5:
Note that 
then the smallest possible whole-number value of x is 7.
Answer: correct choice is B
Decimal places mean we just start counting immediately after the decimal point, so:
2dp: 0.00
1dp: 0.0
Significant figures, we start counting starting at the first non zero number
So we start counting at the 9, therefore:
2sf: 0.00097
3sf: 0.000965
Answer:
13th square number+4th cube number=233
Step-by-step explanation:
=233
Answer:
f(2)=5
q(2) =-5
p(2) = 5
f(x) and p(x) has the same output value
Answer:
about 35.18
Step-by-step explanation:
The <em>Law of Sines</em> tells you the relationship between the sides and angles is ...
KM/sin(L) = KL/sin(M) = LM/sin(K)
We are given LM and angles K and M.
__
The sum of angles is 180°, so the remaining angle is ...
∠K +∠L +∠M = 180°
60° +∠L +45° = 180° . . . . substitute the given angle values
∠L = 75° . . . . . . . . . . . . . . subtract 105°
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Now, we're in a position to find the missing side lengths.
KM = sin(L)/sin(K)·LM = sin(75°)/sin(60°)·12 ≈ 13.38
KL = sin(M)/sin(K)·LM = sin(45°)/sin(60°)·12 ≈ 9.80
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The perimeter of ΔKLM is ...
P = KL +KM +LM
P = 9.80 +13.38 +12.00
P = 35.18
