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2 years ago

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$\mathsf \blue{sketch \: the \: graph \: of}$
$\mathsf \blue{y \geqslant x + 1}$

Mathematics

1 answer:

madreJ [45]2 years ago

8 0

Answer:

Graph attached →

Step-by-step explanation:

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How do you solve sin (5pi/3) without a calculator?

Savatey [412]

very simple, we use the formula sin(a+b)=sinacosb + sinbcosa and sin(20)=2sinacosa

5pi = 2pi/3+3pi/3,

First, we use sin(a+b)=sinacosb + sinbcosa

sin(5pi/3)=sin(2pi/3+3pi/3)= sin(2pi/3+pi)= sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)

but we know that sin(pi)= 0, and cos (pi) = -1, so sin(5pi/3)= - sin(2pi/3)

now, use sin(2a)=2sinacosa, sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)

sin<span>(5pi/3)= -2sin(pi/3)cos(pi/3)</span>

<span>sin(pi/3)= 0.86, cos(pi/3)=0.5, finally we have </span>sin<span>(5pi/3)= -0.86 x 0.5= -0.43</span>

5 0

3 years ago

Read 2 more answers

What is obtained by squaring the standard deviation?

anastassius [24]

<h2>Answer:</h2>

Variance

<h2>Step-by-step explanation:</h2>

The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma $\sigma$ , while the variance measures how far a set of numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as $\sigma^{2}$