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aniked [119]
1 year ago
14

Write a sine function that has an amplitude of 5, a midline of 4 and a period of 4

Mathematics
1 answer:
VARVARA [1.3K]1 year ago
5 0

Answer:

See below

Step-by-step explanation:

Start with  sin x

  amplitude of 5

      5 sin x

      midline 4

          5 sin (x)  + 4

         period of 4

                   2 pi / 4 = pi/2

              <u>   5 sin ( x pi/2 ) + 4 </u>

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Find the missing side or angle.
bonufazy [111]

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°,  and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

\frac{b}{Sin B} = \frac{c}{Sin C}

\frac{4}{Sin 18^{o} } = \frac{c}{Sin 152^{o} }

c = \frac{4* Sin 152^{o} }{Sin 18^{o} }

 = \frac{1.8779}{0.3090}

 = 6.0773

c = 6.1

Therefore,  the value of the missing side, c, is 6.1

3 0
3 years ago
in the ambrose family the ages of the three children are three consecutive even integers . if the age of the youngest child is r
klemol [59]

The ages are consecutive even numbers.
The youngest child is  (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are

           (x + 3),  (x + 5),  and  (x + 7).

Their sum is    x+3  +  x+5  +  x+7  =  3x + 15

But we're told that their sum is  42, so we can write

                                              3x + 15 = 42  <== the equation

Subtract 15 from each side:  3x         =  27

Divide each side by  3 :          x         =   9    <== the solution

So the three ages are  12,  14,  and  16.

The oldest child is  16  years old.

3 0
3 years ago
Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio
Ludmilka [50]
Lets discern the infomation:

number_men = 165*0.6 = 99

so there are 99 men

non_fiction = 165 * 0.4 = 66

so 66 authors write non-fiction.

men writing non-fiction are 40, so 59 men write fiction, and 26 women write non-fiction.

probability of author non-fiction or man?
non-fiction: 40 men + 26 women = 66 total
man writers = 99

so in total 99 man + 26 women = 115 authors

hence the probability is:
115/165 = 69.6%
3 0
3 years ago
What is the equation of a horizontal line that passes through the point (3,-5)?
Kryger [21]

your answer for this question is y=c hope this helps

5 0
2 years ago
What is 0.4% of 50? Round to the nearest hundredth
Lostsunrise [7]

Answer:

0.4% of 50 is 0.2

3 0
3 years ago
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