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dlinn [17]
3 years ago
9

What is the period of the function y=3(tan 6x)?

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
4 0
With all trig functions, the period can be calculated with the equation PB = 2π.

P = period 
B = anything in the tangent part of the equation except the x. (in this case, it would be 6)

When we plug in 6 for B, we get 6P = 2π.

Divide both sides by 6 and you get P = 2π / 6

OR

P = π/3

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What is the equation of the line that passes through the point (3,2) and has a slope of -5/3?
Pani-rosa [81]
Answer= Y=-5/3x+7

First substitute (3,2) into the equation y=-5/3x +b which gives you 2=-5/3x+b. Solve for b, then put the equation into slope-intercept form.
8 0
3 years ago
Olive oil has a density of 0.9 g/mL. What is the mass of 200 mL of olive oil?
lesantik [10]
Known, density= mass/ volume
The volume is given as 200ml
Set up an equation and cross-multiply
You get mass = 180g, answer is B

3 0
3 years ago
Find the area of the circle whose equation is x2+y2=6x-8y​
Semenov [28]

Answer:

Given that the equation of a circle is :

\green{ \boxed{\boxed{\begin{array}{cc}  {x}^{2}  +  {y}^{2}  = 6x - 8y \\  =  >  {x}^{2}  +  {y}^{2}   - 6x + 8y = 0 \\  =  >  {x}^{2}  +  {y}^{2}  + 2 \times ( - 3) \times x + 2 \times 4 \times y = 0 \\  \\  \sf \: standard \: equation \: o f \: circle \: is :  \\   {x}^{2}  +  {x}^{2}  + 2gx + 2fy + c = 0 \\  \\  \sf \: by \: comparing \\  \\ g =  - 3 \\ f = 4 \\ c = 0 \\  \\  \sf \: radius \:  \: r =  \sqrt{ {g}^{2}  +  {f}^{2} - c }  \\  =  \sqrt{ {( - 3)}^{2} +  {4}^{2} - 0  }  \\  =  \sqrt{9 + 16}  \\   = \sqrt{25}  \\  = 5 \: unit \\  \\  \bf \: area \:  = \pi {r}^{2}  \\  = \pi \times  {5}^{2}  \\  =\pink{ 25\pi \:  { unit }^{2} }\end{array}}}}

6 0
3 years ago
1/9 of people in a class are left handed.
LenaWriter [7]

Answer:

left handed: right handed

1                     : 8

Step-by-step explanation:

1 out of every 9 people are left handed

9-1 = 8

That means 8 of the 9 are right handed

left handed: right handed

1                     : 8

3 0
3 years ago
There are 24 men, 60 women, and 44 children on a bus. Write the ratio men:women:children in simplest form?
Elenna [48]

Answer:

6:15:11

Step-by-step explanation:

We first start off with 24:60:44. We then know that the greatest common factor is 4, so we divide the ratio by 4 to get 6:15:11.

If you would like more help on math or other subjects for FREE, check out growthinyouth.org.

5 0
3 years ago
Read 2 more answers
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