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nika2105 [10]
2 years ago
10

45°

Mathematics
1 answer:
ioda2 years ago
7 0

Answer:

   x = \sqrt{\frac{7}{2} }

Step-by-step explanation:

<u><em>Explanation</em></u>

From given graph

          AC = √7

 Given angle ∝ = 45°

    cos\alpha = \frac{adjacentside}{Opposite side}

   cos45 = \frac{x}{\sqrt{7} }

      \frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }

       x = \frac{\sqrt{7} }{\sqrt{2} }

      x = \sqrt{\frac{7}{2} }

     x = 1.8708

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The sum of two numbers is 32. One number is 3 times the other. Find the numbers.
Talja [164]

The numbers whose sum is 32 in which one number is 3 times the other is 8 and 24 respectively.

<h3>Equation of the unknown</h3>

Let

  • x = one of the unknowns
  • 3x = second unknown

x + 3x = 32

4x = 32

x = 32/4

x = 8

So,

3x = second unknown

= 3(8)

= 24

Check:

x + 3x = 32

8 + 24 = 32

Learn more about equation:

brainly.com/question/2972832

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5 0
2 years ago
On
quester [9]

Answer:

\large\boxed{C.\ 2x^3-x^2-18x+9}

Step-by-step explanation:

\text{Use}\ a^2-b^2=(a-b)(a+b)\qquad(*)\\\\\underbrace{(x-3)(x+3)}_{(*)}(2x-1)=(x^2-3^2)(2x-1)=(x^2-9)(2x-1)\\\\\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x^2)(2x)+(x^2)(-1)+(-9)(2x)+(-9)(-1)\\\\=2x^3-x^2-18x+9

3 0
3 years ago
Read 2 more answers
X + 3y = 14<br><br>-5x + 6y = -28<br><br><br>Solve systems by substitution
mote1985 [20]

Rearrange the first system to get x = -3y + 14. Substitute that into the other system.

-5x+6y=-28\\\\-5(-3y+14)+6y=-28\\\\15y-70+6y=-28\\\\15y-70+6y=-28\\\\21y-70=-28\\\\21y=42\\\\y=2

⭐ Please consider brainliest! ⭐

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4 0
3 years ago
What's the explicit formula for 5,10,15,20,25,30
vivado [14]

Answer:

a_{n} = 5n

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5

This indicates the sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 5 , then

a_{n} = 5 + 5(n - 1) = 5 + 5n - 5 = 5n

4 0
2 years ago
Work out the size of angle x 126* 43*
il63 [147K]

Answer:

83°

Step-by-step explanation:

We khow that the sum of a triangle's angle is 180°

  • x is unkhown
  • an angle with 43° and another unkhown one

We should calculate the first one wich is given by : 180-126= 54

now finally :

  • x=180-(54+43)

         =83°

5 0
3 years ago
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