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MrRa [10]
3 years ago
10

Find the missing side length

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:

x ≈ 15.6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle Measure = 60°

Adjacent Leg = 9

Opposite Leg = <em>x</em>

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [tangent]:                    tan60° = x/9
  2. Isolate <em>x</em>:                                       9tan60° = x
  3. Rewrite:                                        x = 9tan60°
  4. Evaluate:                                       x = 15.5885
  5. Round:                                          x ≈ 15.6
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PLS HELP ME FAST PLS !!!!!!!!!!!
erastova [34]

Answer:

The Answer is P = (-2.5 , 1 )

Step-by-step explanation:

Let, the point is P(x,y)

then, x=\frac{m_{1}x_{2}+ m_{2}x_{1}}{m_{1}+m_{2}}

     =>x=\frac{5*(-1)+ 3*(-5)}{5+3}

     ∴x=-2.5

Again, y=\frac{m_{1}y_{2}+ m_{2}y_{1}}{m_{1}+m_{2}}

     =>y=\frac{5*7+ 3*(-9)}{5+3}

     ∴y=1

Thus, P = (-2.5 , 1 )

6 0
2 years ago
The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i
madam [21]

You're looking for the extreme values of T(x,y,z)=3x+6y-6z+1 subject to x^2+y^2+z^2=9. The Lagrangian is

L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)

with critical wherever the partial derivatives vanish:

L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}

L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda

L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda

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Substituting the first three solutions into the last equation gives

\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9

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At these points, we have

T(1,2,-2)=28

T(-1,-2,2)=-26

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

6 0
3 years ago
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Answer:

(800-500)/500 x 100

300/500 x 100

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The answer is a 60% increase

Step-by-step explanation:

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8 0
2 years ago
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3 years ago
Slove : 28/36 = 14/y
Dafna1 [17]

Answer:

y = 18

Step-by-step explanation:

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\frac{7}{9}  =  \frac{14}{y}

7y = 14 \times 9

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7 0
3 years ago
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