Answer:
$9.00
Step-by-step explanation:
Given that $1.8 is 20% of the breakfast cost.
-We can use proportions to find the 100% cost of the breakfast before the tip.
-Let x be the full breakfast cost:
![0.2=1.8\\1.0=x\\\\0.2x=1.8\times 1.0\\\\\\x=\frac{1.8}{0.2}\\\\=9](https://tex.z-dn.net/?f=0.2%3D1.8%5C%5C1.0%3Dx%5C%5C%5C%5C0.2x%3D1.8%5Ctimes%201.0%5C%5C%5C%5C%5C%5Cx%3D%5Cfrac%7B1.8%7D%7B0.2%7D%5C%5C%5C%5C%3D9)
Hence, the full breakfast cost is $9.00 before the tip.
Answer:
you're not doing anything wrong
Step-by-step explanation:
In order for cos⁻¹ to be a function, its range must be restricted to [0, π]. The cosine value that is its argument is cos(-4π/3) = -1/2. You have properly identified cos⁻¹(-1/2) to be 2π/3.
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Cos and cos⁻¹ are conceptually inverse functions. Hence, conceptually, cos⁻¹(cos(x)) = x, regardless of the value of x. The expected answer here may be -4π/3.
As we discussed above, that would be incorrect. Cos⁻¹ cannot produce output values in the range [-π, -2π] unless it is specifically defined to do so. That would be an unusual definition of cos⁻¹. Nothing in the problem statement suggests anything other than the usual definition of cos⁻¹ applies.
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This is a good one to discuss with your teacher.
Answer:
6
Step-by-step explanation:
66 / 6 =11
90/6 =15
11 & 15 prime to each other, so 6 is the answer.
Answer:
on ed its the first one and the second one
Answer:
∠XMZ = 74°
Step-by-step explanation:
Since the arcs XZ and BC are congruent, then
∠BNC = ∠XMZ ← substitute values
6x - 88 = 3x - 7 ( subtract 3x from both sides )
3x - 88 = - 7 ( add 88 to both sides )
3x = 81 ( divide both sides by 3 )
x = 27
Hence
∠XMZ = 3x - 7 = (3 × 27) - 7 = 81 - 7 = 74°