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ratelena [41]
3 years ago
12

Explain how to find the exact value of cot 5pi/3 , including quadrant location.

Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0

Answer:

- √3 / 3, 4th quadrant

Step-by-step explanation:

cot 5π/3 = cot 5 x 180° / 3 = cot 300° ( 4th quadrant)

cot 5π/3 = - √3 / 3

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an 8lb cat has an IV flow rate of 2mL/kg/hr, how many mL's of fluids does the cat receive in 24 hours
Blababa [14]

Answer:

175 mL

Step-by-step explanation:

(a) Convert the mass of the cat to kilograms

 1 kg = 2.20 lb

Mass = 8 lb × (1 kg/2.20 lb)

         = 3.64 kg

(b) Calculate the hourly volume

V = 3.64 kg × (2 mL/1 kg)

  = 7.27 mL

(c) Calculate the daily volume

V = 24 h × (7.27 mL/1 h)

  = 175 mL

3 0
3 years ago
Robbie did a survey of four butterfly parks and wrote the following observations: Butterfly Park SurveyPark Number of White Butt
Snowcat [4.5K]
A = 24 / 86 = 28%
B = 43 / 92 = 47%
C = 12 / 68 = 18 %
D = 32 / 52 = 62%

Answer D
8 0
3 years ago
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An older person is 9 years older than four times the age of a younger person the sum of their ages is 24 find their ages
wlad13 [49]

Step-by-step explanation:

let the younger person be x and older be y

4x + 9 = 24

4x = 15

x = 3.75

y = 24 - 3.75

y = 20.25

4 0
2 years ago
The population of big cats in Africa is increasing at a rate of 5% per year. At the
sesenic [268]

Answer:

a) 10,500 big cats

b) 13,401 big cats

c) 33 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population  

r = growing rate (decimal form; 5/100= 0.05)

t= years  

A = population after t years  

Replacing with the values given:  

a) At 2005, 1 year passed since 2004 (t=1)

A = 10,000 (1+ 0.05)^1

A = 10,500 big cats

b)

At 2010, 6 years passed since 2004 (2010-2004= 6)

A = 10,000 (1+ 0.05)^6

A = 13,401 big cats

c)

50,000 < 10,000 (1+ 0.05)^t

Solving for t:

50,000/10,000 < 1.05^t

5 < 1.05^t

log 5 < log 1.05^t

log 5 < t ( log 1.05)

log 5 / log 1.05 < t

32.9 years < t

33 years  = t

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
Use the theorem part 1​
il63 [147K]

Answer:

(a)

Step-by-step explanation:

The base angles theorem states that if 2 sides of a triangle are congruent, that is an isosceles triangle then the angles opposite these sides are equal.

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3 years ago
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