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KengaRu [80]
3 years ago
14

Solve the equation tan(x+pi/3)=square root3/3 over the interval [0,2pi]

Mathematics
1 answer:
Deffense [45]3 years ago
7 0

Answer:

Answer D 5pi over 6 and 11pi over 6

Step-by-step explanation:

Got it wrong lol

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A restaurant chain wants to change their oil from peanut oil to canola oil in order to save money. However, the restaurant wants
yulyashka [42]

Answer:

yes

Step-by-step explanation:

3 0
4 years ago
If the world's population increased exponentially from 5.937 billion in 1998 to 7.238 billion in 2014 and continued to increase
horrorfan [7]

Answer: The world's population in 2015 would have been 7.333 billion.

Step-by-step explanation:

  • Since the increase in population is an exponential one. It then follows a geometric progression defined by, T_{n} = ar^{n - 1}

  • Where T_{n} is the nth term, <em>a</em> is the 1st term, <em>r</em> is the common ratio.

  •  Therefore, the population in <u>1998</u> is the <u>first term</u> <em>a</em> = 5.937 billion. The population in <u>2014</u> corresponds to the <u>17th term </u>(i.e., <em>n </em>= 17) = 7.238 billion.

Hence, T_{n} = ar^{n - 1}

7.238 billion = 5.937 billion × r^{17 - 1}

r^{16} = (7.238 billion) ÷ (5.937 billion)

= 1.219

<em>r</em> = \sqrt[16]{1.219}

<em>r</em> = 1.0125

To get the population in 2015, which is the 18th term. We use

T_{n} = ar^{n - 1}

T_{18} = 5.937 billion × 1.0125^{18 - 1}

= 5.937 billion × 1.0125^{17}  

= 5.937 billion × 1.235

T_{18} = 7.333 billion

4 0
4 years ago
Read 2 more answers
The composite shape is made up of two different rectangles and two different triangles. What is the area of the composite shape
Rus_ich [418]

Answer:

43 unit²

Step-by-step explanation:

Sorry for the bad handwriting ;-;

7 0
2 years ago
-2/3(3 2/3) I'm not sureeeee
zalisa [80]
2 11/25





Hope I helped!
5 0
3 years ago
I have a math problem it says: He used 160 batteries in 40 calculators. how many batteries are required for 225 calculators? Can
iogann1982 [59]
You can set up an equality:

40/160 = 225/x

Cross multiply:

40x = 160(225)

Evaluate: 

40x = 36000

Isolate x:

x = 900.

So, 900 batteries are required for 225 calculators. 

Hope this helped!! xx
7 0
3 years ago
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