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zavuch27 [327]
3 years ago
9

What is the value of sinθ given that (−6, −8) is a point on the terminal side of θ ?

Mathematics
2 answers:
klasskru [66]3 years ago
7 0

Answer:

\frac{-4}{5}

Step-by-step explanation:

Let a=-8

b=-6

In triangle , by using Pythagoras theorem,

r^{2}=a^{2}+b^{2}

r=\sqrt{a^2+b^{2}

r=\sqrt{(-8)^2+(-6)^{2}

r=\sqrt{64+36

r=\sqrt{100}

r=10

by using trigonometric ratio,

sinθ =\frac{a}{r}

sinθ =\frac{-8}{10}

sinθ =\frac{-4}{5}

DIA [1.3K]3 years ago
5 0
4/5 i think. use pythagorean theorem to find the length of the hypotenuse, and then from there you can find sin, because sin= opposite/hypotenuse. dont forget to reduce!!
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Help me please it just hard for a newbie like me
Makovka662 [10]
Hello there,
Part 1:
Perimeter of Red = 11+11+11+11 
                            = 44
Perimeter of Blue= 6+6+6+6
                            = 24
Ratio: Red : Blue
             44 : 24(divide by 4) 
              11 : 6
Part 2:
Area of Red= 11 x 11
                   = 121
Area of Blue= 6 x 6
                   = 36
Ratio: Red : Blue
             121: 36
             
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8 0
3 years ago
According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di
Elena L [17]

Answer:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

X\sim N(\mu = 34.5, \sigma=1.3)

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

Y\sim N(\mu = 33.9, \sigma=1.2)

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0
3 years ago
Graph the equation y=x+7
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8 0
3 years ago
What is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2
raketka [301]

The area of the considered composite figure is given by: Option: 6π + 16 cm²

<h3>How to calculate the surface area of a composite figure?</h3>

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

\text{Area of composite figure} = \sum (\text{Area of composing figures})

That ∑ sign shows "sum"

For this case, the missing image is attached below.

As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.

The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²

All those 3 semicircles has radius = 2 cm

Since radius is same, so area of those 3 semicircle is same = \dfrac{\pi r^2}{2} = \dfrac{\pi (2)^2}{2} = 2 \pi\: \rm cm^2

Thus, we get:

Area of the composite figure = 2 \pi +2 \pi +2 \pi  + 16 \: \rm cm^2 = 6 \pi+ 16 \: \rm cm^2

Learn more about area of a composite figure here:

brainly.com/question/10254615

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2 years ago
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solniwko [45]

Answer:

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