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tresset_1 [31]
3 years ago
10

What is the length of an arc with a central angle of 43? radians and a radius of 42 cm? use 3.14 for pi. round to the nearest hu

ndredth, if necessary. enter your answer as a decimal in the box. cm?
Mathematics
1 answer:
uysha [10]3 years ago
4 0
L=R*angle, but the angle *must* be in radians. So, just translate 43 degrees into radians: 43 * pi / 180, and you'll get:

L = 42 * ( 43 * pi / 180 ) ~ 31.504666, which rounded to the nearest hundredth is 31.50 cm.
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A scuba diver dove from the surface of the ocean to an elevation of −49 9/10 feet at a rate of −9.5 feet per minute. After spend
laila [671]

Answer:

Rate of change  =  4,06 f/min

Step-by-step explanation:

The ascendent length  28 9/10   =  289/ 10

The time for that ascendent maneuver is total time 17 1/8 minutes  - spended time in the elevation 10 minutes, then

17 1/8  =  137/8

137/8  - 10   =  ( 137 - 80 ) /8   =  57/8 minutes

The rate of change in the diver´s elevation is

289 / 10 / 57/8

Rate of change  =  289*8/ 57*10

Rate of change  =  2312 / 570 ft/min

Rate of change  =  4,06 f/min

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3 years ago
A problem states. "There are 7 more girls than boys in a club
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x= number of boys in the club because it is unknown.

x + 7= the number total number of girls in the club.

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Which expression is equivalent to (x^-4y/x^-9y^5)^-2
Nutka1998 [239]

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3 years ago
Use the quadratic formula to solve for x. 4x2 +9x-1=0​
insens350 [35]

Answer:

x=\frac{-9\pm\sqrt{65} }{8}

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>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

<u>Step 1: Define</u>

4x² + 9x - 1 = 0

<u>Step 2: Define variables</u>

a = 4

b = 9

c = -1

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

  1. Substitute:                    x=\frac{-9\pm\sqrt{9^2-4(4)(-1)} }{2(4)}
  2. Exponents:                   x=\frac{-9\pm\sqrt{81-4(4)(-1)} }{2(4)}
  3. Multiply:                        x=\frac{-9\pm\sqrt{81-16} }{8}
  4. Subtract:                       x=\frac{-9\pm\sqrt{65} }{8}
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Sam and his family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,960.
natka813 [3]

Answer:

The tickets are 392 dollars each

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