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MA_775_DIABLO [31]
2 years ago
7

The angles represented by the expressions (2x+46) and (3x-6) are complementary angles. find the measure of the larger angle. Im

really confused. Could someone help.​
Mathematics
2 answers:
ivolga24 [154]2 years ago
8 0

Answer:

66

Step-by-step explanation:

complimentary angles add up to 90 so:

3x-6 + 2x +46 = 90

5x +40 = 90

5x = 50

x = 10

2(10)+46 = 66

3(10) - 6 = 24

Mashutka [201]2 years ago
8 0
Complementary angles add up to 90 so we want to add the two angles together and set it equal to 90° so 2x+46+3x-6=90
5x+40=90
5x=50
x=10
now that we know what X is we can figure out which angle is bigger and what your answer will be,
2(10)+46=66
3(10)-6=24
and to check our answer 66+24=90 so your answer is 66°
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Whats the normal arm span for these heights? : 4'10,4'11,5'0,5'4,5'5,5,'7,5'8,5'9,5'10,5'11,6'0
Svetllana [295]

 

In adults, the arm span is approximately 5 cm greater than the height in adult males and 1.2 cm in adult females. To calculate the arm span for the heights given, we add 5cm to their height. The following are the results:

 

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4’10                        152.32

4’11                        154.86

5’0                          157.4

5’4                          167.56

5’5                          170.10

5’7                          175.18

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5’11                        185.34

6’0                          187.88

 

To add, the total measurement of the length from the furthermost part of an individual's arms to the other end when raised equidistant to the ground at shoulder height at a 90º angle is called the arm span or wingspan.

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Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).
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Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>
  • The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In this problem, the function is:

f(x) = x^3 + ax^2 + b

Hence, the derivative is:

f^{\prime}(x) = 3x^2 + 2ax

Then:

f^{\prime}(x) = 0

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x = -\frac{2a}{3}

Since the critical point is at x = 2, we have that:

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Then:

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Critical point at (2,3) means that when x = 2, y = 3, then:

3 = 2^3 - 3(2)^2 + b

8 - 12 + b = 3

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You can learn more about the critical point concept at brainly.com/question/2256078

4 0
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oksano4ka [1.4K]

Answer:

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