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Anna71 [15]
3 years ago
14

Please help AS LEVEL c2 tell me how to work out

Mathematics
1 answer:
Korolek [52]3 years ago
3 0
\bf [1-tan(\theta)][2sin(\theta)+1]=0\implies 
\begin{cases}
1-tan(\theta)=0\\\\
1=tan(\theta)\\\\
tan^{-1}(1)=\theta\\\\
\qquad \frac{\pi }{4},\frac{5\pi }{4}\\
----------\\
2sin(\theta)+1=0\\\\
2sin(\theta)=-1\\\\
sin(\theta)=\frac{-1}{2}\\\\
sin^{-1}\left(-\frac{1}{2}  \right)=\theta\\\\
\qquad \frac{7\pi }{6},\frac{11\pi }{6}
\end{cases}
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Given that aₙ = (-2) (5)ⁿ⁻1 for a geometric sequence, determine the common ratio:
patriot [66]

Answer:

5

Step-by-step explanation:

The nth term of the geometric sequence is

a_n=(-2)(5)^{n-1}

In general the nth term of a geometric sequence is

a_n=a_1(r)^{n-1}

By comparism;

r=5 is the common ratio of the sequence.

Or

a_1=(-2)(5)^{1-1}=-2

a_2=(-2)(5)^{2-1}=-10

Common ratio is

r=\frac{-10}{-2}=5

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The cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches. What is the approximate lateral a
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<span>Cone Lateral Area = (<span>π<span> • r •<span> slant height)
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6 0
3 years ago
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Im having trouble on this
Degger [83]

Answer: girl no

Step-by-step explanation:

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Does second-hand smoke increase the risk of a low birthweight? A baby is considered have low birthweight if he/she weighs less t
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Answer:

Option 2) Null hypothesis: p = 0.078 , Alternate hypothesis: p > 0.078

Step-by-step explanation:

We are given the following in the question:

According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birth weight.

Sample size, n = 1200

p = 7.8% = 0.078

We have to carry a hypothesis test whether national percentage is higher than 7.8% or not.

Thus, we can design the null and the alternate hypothesis

H_{0}: p = 0.078\H_A: p > 0.078

Thus, the correct answer is:

Option 2) Null hypothesis: p = 0.078 , Alternate hypothesis: p > 0.078

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3 years ago
P+q=1 and pq=-20. What are the values of p and q?​
andrey2020 [161]

Answer:

Step-by-step explanation:

5, -4

5-4=1

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