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AveGali [126]
3 years ago
7

What is the slope of the line?

Mathematics
1 answer:
Anastasy [175]3 years ago
8 0
The slope of the line is 3/2
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Express f(x) = 3 cos x + 5 sin x as Rsin(x + o), where e<br>is an acute angle in radians.​
Andrews [41]

Answer:

<h2>√34sin(x + 0.33π)</h2>

Step-by-step explanation:

The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.

R = √a²+b²

e = tan^{-1}\frac{b}{a}

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;

a = 3, b = 5

R = √3²+5²

R = √9+25

R =√34

e = tan^{-1} \frac{5}{3} \\e = 59.09^{0}

in radians;

e =\frac{\pi }{180}*59.09\\ e = 0.33\pi rad

3 cos x + 5 sin x = √34sin(x + 0.33π)

4 0
3 years ago
The number of days (d) is equal
Svetradugi [14.3K]

Answer:

B

Step-by-step explanation:

d \:  =  \frac{h}{24}

h \:  = 24d

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3 years ago
Only 18 people are allowed on a ride at the same time. There are 157 people waiting in line. How many groups of riders will ther
IrinaK [193]

Answer:

Step-by-step explanation:

Divide 157 by 8 to see how many groups there are.

157/18=8r13. So you can round up to 9 groups of riders as there is a max of 18 at a time.

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2 years ago
BD = 53, AC = 45 &amp; DA = 87. Find BC
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the answer is differently C

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What is the place value of 8 in 281,480,100​
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Ten thousand your welcome
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