Answer:
Step-by-step explanation:
The coordinate has the following polar form:
The image of the coordinate rotated counterclockwise 60° is:
Its equivalent form in rectangular coordinates is:
Answer:
x = 66
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
<span>-15 + n = -27
Add 15 to both sides so that the only thing remaining on one side is the variable n.
Final Answer: n= -12</span>
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.
Answer:
<h2><u><em>
(2s + 5) × (2s + 5)</em></u></h2><h2><u><em>
or</em></u></h2><h2><u><em>
(2s + 5)²</em></u></h2>
Step-by-step explanation:
A side of a square garden is represented by the expression 2s + 5. Which expression represents the area of the garden?
Area = s * s ( side x side or side²)
(2s + 5) * (2s + 5)
or
(2s + 5)²
