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RSB [31]
2 years ago
11

a)use the triangle below to work out the exact value of tan 30 b) hence, or otherwise , give the full exact value of tan 210

Mathematics
1 answer:
amm18122 years ago
4 0

Answer:

Step-by-step explanation:

a) tan30 = 1/√3

b) tan210 = tan(180 + 30)

= tan30 = 1/√3

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In a linear regression model, the variable that is being predicted or explained is known as _____________. It is denoted by y an
Andreyy89

Answer:

<h3>"In a linear regression model, the variable that is being predicted or explained is known as <u>_dependent variable</u> It is denoted by y and is often referred to as the response variable".</h3>

Step-by-step explanation:

Given that "In a linear regression model, the variable that is being predicted or explained is known as <u>dependent variable</u> It is denoted by y and is often referred to as the response variable".

  • Because linear regression models for variables are used to explain or predict the relationship between two variables.
  • The variable in the given model that is being predicted is called the dependent variable.
7 0
3 years ago
7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of
kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0
3 years ago
in 2002, a 30 second commercial during super bowl cost an average of 1,900,000. At this rate, how much would a 45 second commerc
kotegsom [21]
This is a unit multiplier of sorts

1,900,000 x 45/30

Simplify

1,900,000 x 3/2 

2,850,000
3 0
3 years ago
Read 2 more answers
Simplify -2(x - 5) + 4(9 + x).
tatiyna

Step-by-step explanation:

= -2(x - 5) + 4(9 + x)

= -2x + 10 + 36 + 4x

= (-2 + 4)x + 10 + 36

= 2x + 46

3 0
2 years ago
Find the domain of the function f(x)= 2x-6​
Vesna [10]

Answer:

Well, the function is F(x)=x^(2)-6x=C so the domain would be found infinite.

All of the numbers are real except where the expression is undefined but in this case, there is no real number that makes the expression undefined.  

Hope this helped, if not, message me and I'll try to explain further.

6 0
3 years ago
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