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elena-s [515]
3 years ago
6

Find the surface area of the triangular prism (above) using its net (below).

Mathematics
2 answers:
Georgia [21]3 years ago
4 0

Answer:

the surface area of the prisim is 136

Marianna [84]3 years ago
3 0

Answer: The surface area is 96

Step-by-step explanation:

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Joshua owns a trucking company. For every truck that goes out, Joshua must pay the driver $25 per hour of driving and also has a
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number of miles=a

number of hours=y

Step-by-step explanation:

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For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
viva [34]

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Answer:

  b.  6.28 units

Step-by-step explanation:

The travel through 360° takes you around the full circumference of the circle. That circumference is ...

  C = 2πr

Since this is a unit circle, the radius is 1, so the circumference is ...

  C = 2π·1 = 2π ≈ 6.28 . . . units (counterclockwise)

Angles are generally considered to be positive in the counterclockwise direction, so the distance traveled is 6.28 units counterclockwise. Answer choice (a) has the correct number of units, but the direction is incorrect.

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3 years ago
Estimate the slope of the tangent line to the curve f(x) = x2 at the point (1, f(1)) by examining the trend in the secant slopes
Ilya [14]

Answer:

f'(1) = 2

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

<u>Algebra I</u>

  • Function Notation

<u>Calculus</u>

The definition of a derivative is the slope of the tangent line.

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x²

Point (1, f(1))

<u>Step 2: Differentiate</u>

  1. Basic Power Rule:                     f'(x) = 2 · x²⁻¹
  2. Simplify:                                     f'(x) = 2x

<u>Step 3: Find Slope</u>

<em>Use the point (1, f(1)) to find the instantaneous slope</em>

  1. Substitute in <em>x</em>:                        f'(1) = 2(1)
  2. Multiply:                                   f'(1) = 2

This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)

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