Answer:None of the given choices
cos θ = sqrt(3) / 2
Explanation:cos 2θ + cos 2θ = 1
2 cos 2θ = 1
cos 2θ = 0.5
Now, to get the value of θ, we would need to use the rules of double the angle attached in the figure.
I will use:
cos 2θ = 2 cos²θ - 1
Substitute with cos 2θ = 0.5 and solve for cos θ as follows:
cos 2θ = 2 cos²θ - 1
0.5 = 2 cos²θ - 1
2cos ²θ = 0.5 + 1 = 3/2
cos²θ = 3/4 = 0.75
cos θ = ±√0.75
Since we are given that θ is acute, therefore, θ belongs to the first quadrant which means that cos θ is positive
Based on the above:
cos θ = √0.75 = √3 / 2
Hope this helps :)
Answer:
roses cost 5 geraniums cost 10
Step-by-step explanation:
rose=x
geraniums=y
11x+14y=195
14x+7y=140
Multiply the top by -7 and the bottom by 14 so geraniums(y) cancels out and you can find rose(x)
-77x-98y=-1365
196x+98y=1960 y cancels out
119x=595
------ -----
119 119
rose(x)=5 insert 5 for x to find y (geraniumns)
11(5)+14y=195
55+14y=195
-55
14y=140
----- ----- geraniums(y)=10
14 14
Formula for perimeter of a rectangle: P = 2W + 2L
Here, P = 2(x-3 ) cm + 2(3x+7) cm = 2x - 6 + 6x + 14 (cm)
Combine like terms: 8x + 8 cm (simplest form) This is the perimeter.
Now let x = 4: P(x=4) = 8(4) + 8 cm = 40 cm
Answer:
2.22
Step-by-step explanation:
Rounded to hundredths: 2.22
The correct answer to this question is letter "C. distance." An isometry is a transformation that preserves distance. Isometry is a geometrical transformation that preserves geometrical properties such as distance. In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving injective map between metric spaces.