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Lana71 [14]
2 years ago
9

The left and right page numbers of an open book are two consecutive integers whose sum is 195

Mathematics
1 answer:
marusya05 [52]2 years ago
8 0

Answer:

97, 98

Step-by-step explanation:

a = first number

a + 1 = consecutive number

then:

a + a+1 = 195

2a + 1 = 195

2a = 195 - 1

2a = 194

a = 194/2

a = 97

a + 1 = 98

Check:

97 + 98 = 195

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-7y-4x=17y-2x=53
-4x=24y-2x=53
-2x=24y=53
24y+2x=53

You would have to solve one at a time.
y=53/24 
y=2.21
x=53/2
x=26.5
3 0
3 years ago
prove that sin theta cos theta = cot theta is not a trigonometric identity by producing a counterexample
Zolol [24]

Answer:

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Begin with the right hand side:

R.H.S = cot θ = \frac{cos \ \theta}{sin \ \theta}

L.H.S = sin θ cos θ

so, sin θ cos θ ≠ \frac{cos \ \theta}{sin \ \theta}

So, the equation is not a trigonometric identity.

=========================================================

<u>Anther solution:</u>

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Assume θ with a value and substitute with it.

Let θ = 45°

So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2

R.H.S = cot θ = cot 45 = 1

So, L.H.S ≠ R.H.S

So, sin θ cos θ = cot θ is not a trigonometric identity.

5 0
2 years ago
The base of a triangular prism has an area of 18 square inches . If the height of the prism is 4.5 inches then what is the volum
Nady [450]

Answer:

The volume for the triangular prism is 40.5 cubic inches.

Step-by-step explanation:

Given:

The base of a triangular prism has an area of 18 square inches .  

And the height is 4.5 inches.

Now, to get the triangular prism volume.

The base area = 18 square inches.

Height = 4.5 inches.

Now, to get the volume of prism we put formula:

Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.

Therefore, the volume for the triangular prism is 40.5 cubic inches.

7 0
2 years ago
If the area of a square field is 39.69 sq.m, find the length of one side.<br><br> plz it urgent
olga2289 [7]

Answer:

yhfyugcg

Step-by-step explanation:

ghuihhjjfi night ighi

8 0
3 years ago
Read 2 more answers
Please give the answer
sweet [91]

The function can be solved as follows:

  • f(6 + 4) = 25
  • f(6) - f(4) = 20
  • f(6 - 4) = 1
  • f(6) - f(4) = 6
  • f(6) . f(4) = 91

<h3>How to solve function?</h3>

f(x) = 3x - 5

Therefore, the function can be solved as follows:

f(6 + 4) = f(10) = 3(10) - 5 = 25

f(6) + f(4) = 3(6) - 5 + (3(4) - 5)

f(6) - f(4) = 13 + 7

f(6) - f(4) = 20

f(6 - 4) = f(2) = 3(2) - 5 = 6 - 5 = 1

f(6) - f(4) = 3(6) - 5 - (3(4) - 5)

f(6) - f(4) = 18 - 5  - (12 - 5)

f(6) - f(4) = 13 - 7

f(6) - f(4) = 6

f(6.4) = f(24) = 3(24) - 5 = 72 - 5 = 67

f(6) . f(4) = (3(6) - 5 ) (3(4) - 5)

f(6) . f(4) = (18 - 5)(12 - 5)

f(6) . f(4) = (13)(7) = 91

learn more on function here: brainly.com/question/9390144

#SPJ1

5 0
1 year ago
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