<span>Using LAW OF SINES Round to the nearest tenth.
Find BC: triangle is laying on it's side with the point to the right point(A).
B to C= 61 degrees
C to A= 23 cm
A to B= 12 degrees
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If I interpret this correctly:
Angle A = 61º
Angle C = 12º
--> B = 103º
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Side b = 23 cm
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BC is side a, opposite angle A
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23/sin(103) = a/sin(61)
a = 23*sin(61)/sin(103)
a =~ 20.6 cm
Hope this helped :)</span>
<em>Answer</em><em> </em><em>with</em><em> </em><em>explanation</em><em>:</em>
The Given Inequality is
|x-4|<9
Modulus of a number yields always a positive value.
→|x-4|= x-4, when, x-4≥0
That is , x≥4.
= -(x-4), when, x-4<0
means, x<4.
it can be Written as
→ -9<x-4<9
→ -9+4 < x -4+4 < 9+4
→ -5<x<13
→x∈(-5,13)
♡ <em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>♡</em>
Answer:
Jamal is correct.
Step-by-step explanation:
3:4 is equivalent to 9:12, not 18:12.
We can see that for 3:4, the left side is less than the right, but for 18:12, left side is greater than the right, which immediately tells us the ratios are not equivalent.
Answer:
0 < x ≤ 12 and 0 < y ≤ 36
Step-by-step explanation:
Here, x represents the number of female gazelles and y represents the number of male gazelles.
The zoo only has room for 12 female gazelles.
∵ The number of rooms must be more than or equal to the total female gazelles ,
12 ≥ x
Also, number of animals can not be negative,
And, it must be greater than 0.
⇒ 0 < x ≤ 12,
⇒ 3(0) < 3x ≤ 3(12)
⇒ 0 < 3x ≤ 36
∵ Number of males gazelles = 3 × number of female gazelles
⇒ y = 3x
⇒ 0 < y ≤ 36
Hence, the constraints to represent a thriving population of gazelles at the zoo are,
0 < x ≤ 12,
0 < y ≤ 36
Answer:-7
Step-by-step explanation:
24-8i=10-10i
24-10=-10i+8i
14=-2i
I=-7