First, you must change all of this into improper fractions, like shown below.
Now you must change the sign.
Then we must reciprocalize 2/3.
Now we multiply, to get 2 4/10.
Answer:
Steps below
Step-by-step explanation:
8) x = y²/2 2rcosΘ = r²sin²Θ 2cosΘ = rsin²Θ
r = 2cosΘ/sin²Θ = 2cotΘcscΘ
9) (x+2)²+y²=4 y= rsinΘ x=rcosΘ
(rcosΘ+2)²+y²sin²Θ = 4
r²cos²Θ+4rcosΘ+4+y²sin²Θ=4
r²(sin²Θ+cos²Θ)+4rcosΘ=0
r²+4rcosΘ=0 r+4cosΘ=0
r = - 4cosΘ
10) r = 2sinΘ r=2* y/r r²=2y x²+y²=2y
x² + (y²-2y+4) = 4 x²+(y-2)² = 4
11) r = 3tanΘsecΘ = 3* (y/x) * (r/x)
1 =3y/x²
x² = 3y 3y = x²
The independent variable is time and is graphed along the horizontal axis and this describes the variables in the scatter plot created from the data. The correct option among all the options that are given in the question is the third option or option "C". The calories given are the dependent variable and time will be the independent variable.
<h2>Answer: X=6.5 cm
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In order to understand the question and find the solution, let's use the <u>figure attached</u>.
In this figure is shown the triangle with its three sides, where the value of the third is unknown.
We can divide this triangle into two right triangles (figure attached) and use<u> trigonometric functions</u> to find the unknown side in each one:
For Triangle 1:
Is a triangle with sides 
, 
and 
. We can use the sine trigonometric function to find side :
(1)
Where 
is the opposite side to the angle and 
the hypotenuse
Substituting the values:
(2)
For Triangle 2:
We will use the same procedure, nevertheless, in this case the opposite side is 
and the hypotenuse is 7 cm:
(3)
Adding both values:
We finally find the value of the third side of the whole triangle:
