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defon
3 years ago
7

A circle has a radius of 3. An arc in this circle has a central angle of 20

Mathematics
1 answer:
ki77a [65]3 years ago
8 0

A circle has a radius of 3 An arc in this circle has a central angle of 20 what is the length of the arc

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The number −5 is all of the following except _____.
nirvana33 [79]

Answer:

a real number

Step-by-step explanation: You didn't list the choices- a real number is all positive numbers except 0

7 0
3 years ago
Answer with detail. Please show work for all questions (worth 100 points plus ill mark brainliest) ^-^ Thanks!
polet [3.4K]

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We can find the radius from the diameter

r = d/2 = 34/2 = 17

V = (3.14) (17)^2 * 27

V =24501.42 m^3

The surface of a cone is found by

SA = pi r^2 + pi r  l where l is the slant height

We can find the radius from the diameter

r = 8/2 = 4

SA =(3.14) * 4^2 + 3.14 * 4*7

      =50.24+87.92

        138.16 in^2

The lateral surface area of a pyramid is found by taking the area of the sides

LSA = 4 * the area of a triangle

          we multiply by 4 since there are 4 sides

        = 4 * 1/2 b*h  where b is the base of the triangle and h is the height of the triangle.  (in this case it would be the slant height)

           = 2 * 8 *22

          =352 m^2

7 0
3 years ago
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What is 3(2x-6)-11=4(x-3)+6
navik [9.2K]

Answer:

x=11.5

Step-by-step explanation:

4 0
3 years ago
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After the booster club sold 40 hotdogs at a football game, it had $90 in profit. After the next game, it had sold a total of 80
Ainat [17]
We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30

5 0
3 years ago
A block of ice has a square top and bottom and rectangular sides. At a certain point in
Lilit [14]

Answer:

\frac{dV}{dt} = 360 \ cm^3/h

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>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0
3 years ago
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