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CaHeK987 [17]
3 years ago
9

Find the measure of the exterior angle. A triangle, with an exterior angle marked as 2 a degrees. Two of its other interior angl

es are labeled as a plus 10 degrees and 44 degrees. The measure of the exterior angle is $$
Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0
Wow this is actually a hard question! I’m kinda confused but I will figure it out and get back to you
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What transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?
LUCKY_DIMON [66]

Answer:

The graph of y=cos(x) is:

*Stretched vertically by a factor of 3

*Compressed horizontally by a factor  \frac{1}{10} .

*Moves horizontally \pi units to the rigth

The transformation is:

y=3f(10(x-\pi))

Step-by-step explanation:

If  the function y=cf(h(x+b))  represents the transformations made to the graph of y= f(x)  then, by definition:

If  0 then the graph is compressed vertically by a factor c.

If  |c| > 1 then the graph is stretched vertically by a factor c

If c  then the graph is reflected on the x axis.

If b> 0 The graph moves horizontally b units to the left

If b The graph moves horizontally b units to the rigth

If 0 the graph is stretched horizontally  by a factor \frac{1}{h}

If h> 1 the graph is compressed horizontally by a factor \frac{1}{h}

In this problem we have the function y=3cos(10(x-pi)) and our parent function is y = cos(x)

The transformation is:

y=3f(10(x-\pi))

Then c =3>1  and b =-\pi < 0 and h=10 > 1

Therefore the graph of y=cos(x) is:

Stretched vertically by a factor of 3.

Also as h=10 the graph is compressed horizontally by a factor  \frac{1}{10} .

Also, as b =-\pi < 0 The graph moves horizontally \pi units to the rigth

6 0
3 years ago
Kelsay opened a bag of marbles that included red, yellow, green,and blue marbles.There were 144 marbles in all.If there was an e
vladimir2022 [97]

Answer:

36

Step-by-step explanation:

Given that Kelsay opened a bag of marbles.

The bag included 4 colours of marbles of equal numbers.

The four colours are red, yellow, green and blue.

To find the no of marbles of each colour in the bag:

Total number of marbles = 144

Total colours = 4

Hence divide total number by no of colours to get the answre

No of each colour marbles = 144/4 = 36


5 0
3 years ago
Is the value of ( -9) -3 x (-9) -2 positive or negative
Ratling [72]

Answer:

Positive

Step-by-step explanation:

(-9)-3=27

(-9)-2=18

(18)(27)=486

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4 years ago
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A restaurant offers 5 appetizers and 7 main courses. How many ways can a person order a​ two-course meal?
amid [387]
They can order a 2 course meal 35 different ways
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Which number sentence does the following number line represent? I NEED THIS TO BE CORRECT AND I NEED THIS ASAP PLEASE GIVING 20
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The last one because it starts at -2 and is going back 6 places
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