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faust18 [17]
3 years ago
9

A cable for a power transformer forms

Mathematics
1 answer:
posledela3 years ago
3 0

Answer:

32 ft

Step-by-step explanation:

From the diagram, the side opposite the 60° angle is 28 feet.

We are looking for the approximate length of the cable.

The approximate length of the cable is the hypotenuse of the triangle shown.

Recall the sine ratio from SOH-CAH-TOA

Which means Sine of the angle is Opposite/Hypotenuse

Let the hypotenuse be h, then we have:

\sin(60) =  \frac{28}{h}

0.866 =  \frac{28}{h}

h =  \frac{28}{0.866}

h = 32.33

The length of the cable is approximately 32 feet

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7 times a number is equal to 12 more than three times the number. Find the number.
Sonja [21]
7x=3x+12 
-3x  -3x
4x=12
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6 0
3 years ago
Solve this system by substitution. y = 3 y = -3x + 6 *Remember to write your answer as a coordinate point (x, y). I​
DochEvi [55]

Answer:

(1, 3)

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 3

y = -3x + 6

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

  1. Substitute in <em>y</em>:                                                                                                 3 = -3x + 6
  2. [Subtraction Property of Equality] Subtract 6 on both sides:                      -3 = -3x
  3. [Division Property of Equality] Divide -3 on both sides:                                1 = x
  4. Rewrite/Rearrange:                                                                                        x = 1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               y = -3(1) + 6
  2. Multiply:                                                                                                           y = -3 + 6
  3. Add:                                                                                                                 y = 3
6 0
3 years ago
From the Pythagorean theorem, what can you inter about<br> the hypotenuse a right triangle?
wolverine [178]

Answer:

Step-by-step explanation:

it is the side that is oppistie of the right angle

6 0
3 years ago
276÷ -0.12=<br><br> I need the work shown, please.
oksano4ka [1.4K]

Answer:

-(276÷0.12)=-2300

Step-by-step explanation:

8 0
3 years ago
Round 3,989.23655 to the nearest tenth
dedylja [7]
This would be 3990 if you require a whole number but for a decimal it would be 3989.24
7 0
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