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Digiron [165]
2 years ago
13

Solve 2tan(x)cos^2(x)=1 algebraically

Mathematics
1 answer:
deff fn [24]2 years ago
7 0
X= pi/4 +k(pi)
(This may not be correct sorry)
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Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). What are the possible coordina
sukhopar [10]

Answer:

Possible C:

(1 , 1 + 3sqrt(3))

(1 , 1 - 3sqrt(3))

Step-by-step explanation:

AB = 6 units

Midpoint of AB is (1,1)

C would be at x = 1

So, (1,y)

(y-1)² + (1+2)² = 6²

(y-1)² = 36 - 9

(y-1)² = 27

y - 1 = 3sqrt(3)

y - 1 = -3sqrt(3)

y = 1 + 3sqrt(3)

y = 1 - 3sqrt(3)

7 0
3 years ago
In a restaurant, the proportion of people who order coffee with their dinner is p. A simple random sample of 144 patrons of the
mote1985 [20]
<h2>Answer with explanation:</h2>

Given : In a restaurant, the proportion of people who order coffee with their dinner is p.

Sample size : n= 144

x= 120

\hat{p}=\dfrac{x}{n}=\dfrac{120}{144}=0.83333333\approx0.8333

The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-

Null hypothesis : H_0: p\geq0.85   [ it takes equality (=, ≤, ≥) ]

Alternative hypothesis : H_1: p  [its exactly opposite of null hypothesis]

∵Alternative hypothesis is left tailed, so the test is a left tailed test.

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.83-0.85}{\sqrt{\dfrac{0.85(1-0.85)}{144}}}\\\\=-0.561232257678\approx-0.56

Using z-vale table ,

Critical value for 0.05 significance ( left-tailed test)=-1.645

Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.

Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.

8 0
3 years ago
5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
Mrrafil [7]
10x(3x^2)
15x^2(2x)
5x(6x^2)
7 0
3 years ago
81.098 rounded to hundredths
pantera1 [17]
The answer is 81.1 because since the 9 place value above 5, you round the number in front of it to 1. so the answer is 81.1. I hope that helps.
3 0
3 years ago
HELP PLEASE!! &lt;3 <br> A rectangle has vertices (w,v), (w,z), and (z,z). Find the fourth vertex.
Vaselesa [24]

Answer:

Hey, Try practiceing on your own

Step-by-step explanation:

8 0
3 years ago
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