Answer:
$25
Step-by-step explanation:
37.50-12.50=$25.00
Since the whole length of the rectangle is 8, and the line across isnt exactly in the middle, (but just a little bit farther than the 4 mark) ... Then the correct answer is:
D. 4 1/2 units
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
Answer:
x=17 plz the brainliest!
Step-by-step explanation:
3x+39=90
3x+39-39=90-39
3x=51
\frac{3x}{3}=\frac{51}{3}
x=17
Answer:
y=5x-11
Step-by-step explanation:
parallel lines have the same slope 5
y-4=5(x-3)
y-4=5x-15
y=5x-15+4
y=5x-11
