Answer:
Step-by-step explanation:
Use the half angle formulas
sin(θ/2) = ±√((1 - cosθ)/2)
sin(θ/2) = ±√((1 - (3/5))/2)
sin(θ/2) = ±√((2/5)/2)
sin(θ/2) = ±√(1/5)
knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.
sin(θ/2) = +√(1/5) = √0.2
- Two angles that are complements of each other add to equal 90 degrees (they are complementary angles).
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.
To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.
90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x
If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.
4x + 25
4(13) + 25
52 + 25
77
Answer:
x = 13
m∠x = 77°
Option A:
I and III only the answers.
Solution:
Let white vases be "w" and red vases be "r".
Cost of total flower = $336
Cost of each vase = $11
Total cost of the centerpieces
= Cost of (white vases + red vases) + Cost of flowers
= 11(w + r) + 336
= 11w + 11r + 336
Total cost of the centerpieces = 11w + 11r + 336 = 11(w + r) + 336
Therefore I and III only the answers.
Option A is the correct answer.
Answer:
X =1,5
Step-by-step explanation:
==>-4x+3<9
==>-4x<9-3
==>-4x<6.
==>
==>x =1.5
1/5 pound would be 20% of a pound or 0.2 pounds :)
