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lord [1]
2 years ago
6

Solve each equation | n/5| +1=2

Mathematics
2 answers:
erastova [34]2 years ago
4 0

Answer:

|n \div 5|  + 1 = 2 \\  |n \div 5|  = 1 \\ n = 5

allochka39001 [22]2 years ago
3 0

Answer:

|n|= 5

Step-by-step explanation:

|n/5|+1=2

|n/5|=2-1

|n/5|=1

|n|=5×1

|n|=5

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What is the equivalent expression of y+2/5y
Nonamiya [84]
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Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
maria [59]

Answer:

cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = -\frac{1}{3}

cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

         = -\frac{2\sqrt{2}}{3}

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

         = -\sqrt{\frac{15}{16}}

         = -\frac{\sqrt{15}}{4}

By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

                = \frac{1}{12}-\frac{\sqrt{120}}{12}

                = \frac{1}{12}(1-\sqrt{120})

                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

5 0
3 years ago
find the scale, k, of H(3,4) if H'(9,12) after going through the transformation (x,y) ---> (kx,ky) centered at the origin
stiks02 [169]

The value of scale k is 3

Step-by-step explanation:

In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.

Given

H(3,4)

H'(9,12)

The coordinates of H are multiplied with some integer k to form H'

So,

<u>For x-coordinate:</u>

3k = 9

k = 9/3 = 3

<u>For y-coordinate:</u>

4k = 12

k = 12/4 = 3

Hence,

The value of scale k is 3

Keywords: Coordinate geometry, scaling

Learn more about scaling at:

  • brainly.com/question/4771355
  • brainly.com/question/4786449

#LearnwithBrainly

5 0
3 years ago
Tayler has $320 to pay for dining room chairs. She expects to pay about $80 per chair. Her friend told her that she has 3 that T
VARVARA [1.3K]

Answer:

320/80 +3 = c

Step-by-step explanation:

if she has $320 and each chair is $80, then dividing 320 by 80 will tell you how many chairs she can buy (4), plus 3 because she gets 3 chairs for free. it equals c because c is the total amount of chairs she gets

5 0
3 years ago
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