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vladimir1956 [14]
3 years ago
11

1 Find the value of the variables. b 30° a 12 60° a- b =

Mathematics
1 answer:
Andrew [12]3 years ago
4 0

Answer:

a=6

b=10.39

Step-by-step explanation:

a=sin 30x12 or a=cos60x12

a=6

b=cos 30x12 or b=sin60x12

b=10.39

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The population shrank by 23.86762%
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Find the sum of the measures of the interior angles of a polygon with 41 sides
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Answer:

the formula is (n-2)180 degrees

so its 7020

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Given f(x) = 2x² + 4 and g(x) = 3x – 1 ……<br> What is (fg)(x)? <br><br> Show your work.
Lelu [443]

Answer:

(fg)(x) = 6x³ - 2x² + 12x - 4

Step-by-step explanation:

( f g ) ( x ) = f ( x ) * g ( x )

f(x) = 2x² + 4

g(x) = 3x – 1

( f g ) ( x ) = (2x² + 4) (3x – 1)

               = 6x³ - 2x² + 12x - 4

6 0
3 years ago
Solve the equation. (Find only the real solutions. Enter your answers as a comma-separated list.) x4 − 8x2 + 7 = 0
ryzh [129]

Answer: x=0 or x= plus or minus 2

Step-by-step explanation:

g(x)=x^4-8x^2+7

Critical numbers are the numbers where the first derivative is zero

g'(x)=4x^3-16x+0

=4x^3-16x

g'(x)=0

Implies

4x^3-16x=0

4x(x^2-4)=0

4x=0 OR x^2-4=0

x=0 or x^2=4

x=0 or x= plus or minus 2

5 0
3 years ago
Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
igor_vitrenko [27]

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:  

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

Mean of measured heights = 64.75

3. Get their difference

Difference = Mean of reported heights - Mean of measured heights

Difference = 65.5 - 64.75

Difference = 0,75

Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10

Mean of difference = 7.5/10

Mean of difference = 0.75

Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

3 0
3 years ago
Read 2 more answers
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