Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
In ΔAHD, the side opposite angle DAH is DH, and the hypotenuse is AD, so we have ...
sin(∠DAH) = DH/AD = 4/8
∠DAH = arcsin(4/8) = 30°
That makes ΔAHD a 30°-60°-90° triangle, so the side lengths have the ratios 1 : √3 : 2.
∠CAB = 2·30° = 60°, so ΔABC is also a 30°-60°-90° triangle having the same ratios of side lengths.
In short, ...
AH = √3·DH = 4√3
AC = 2·AH = 8√3
AB = 2·AC = 16√3
BC = √3·AC = 8·(√3)² = 24
Answer: Choice B and D are both correct.
Step-by-step explanation:
The expression has two adjacent negative signs in the middle. The two negative signs are to be multiplied, which then produces one positive sign.
Choice B is therefore correct because the expression becomes 6+6 which is 6 to the right of the number line where the numbers are increasing.
Choice D is also equally correct because the addition of 6 to 6 equals 12(6+6 = 12).
8-2b= -2/3(12b+6)
⇒ 8-2b= -8b -4
⇒ -2b+ 8b= -4-8
⇒ 6b= -12
⇒ b= -12/6
⇒ b= -2
Final answer: b= -2~