Answer:
b = 30 degrees.
Step-by-step explanation:
Two angles are said to be complement of each other if their sum is 90 degrees
________________________
given
one angle is b
let other angle be x
given that angle b is one-half the measure of its complement
thus, mathematically we can the above statement as
b = 1/2(x)
now sum of both the angle will be 90 degrees as they are complementary
b + x = 90
using b = 1/2(x)
=> 1/2(x) + x = 90
=> x/2 + x = 90
=> (x +2x)/2 = 90
=> 3x = 180
=> x = 180/3 = 60
thus,
b = 1/2(x) = 1/2(60) = 30
thus, measure of angle b is 30 degrees.
Answer:
d The length of each petal is 4, and the number of petals is 4.
Step-by-step explanation:
The tan is negative in the 2nd and 4th quadrants, knowing this, the angle that equals the value that tan = 1 in the first quadrant is the tan 45° = 1, but the question restrict for 3pi/2 < theta < 2pi, so it's the same as 270° < theta < 360° (4° Quadrant), then moving the tan 45° = to this quadrant the value will be negative, tan in 4°Q = tan(360 - 45=315°) = -1.
sec theta = 1/cos theta
cos 45° =
![\sqrt{2} \div 2](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20%5Cdiv%202)
cos values in 4°Q will be positives, so it doesn't change the signal.
sec 315° = 1/cos 315°
sec 315° = 1/square root (2)/2
sec 315 = 1/1 x 2/sqroot(2)
![sec \: 315 = 2 \div \sqrt{2}](https://tex.z-dn.net/?f=sec%20%5C%3A%20315%20%3D%202%20%5Cdiv%20%5Csqrt%7B2%7D%20)
![sec \: 315 = (2 \div \sqrt{2}) \: \times ( \sqrt{2} \div \sqrt{2})](https://tex.z-dn.net/?f=sec%20%5C%3A%20315%20%3D%20%282%20%5Cdiv%20%5Csqrt%7B2%7D%29%20%5C%3A%20%5Ctimes%20%28%20%5Csqrt%7B2%7D%20%5Cdiv%20%5Csqrt%7B2%7D%29)
![sec \: 315 = 2 \sqrt{2} \div 2](https://tex.z-dn.net/?f=sec%20%5C%3A%20315%20%3D%202%20%5Csqrt%7B2%7D%20%5Cdiv%202)
77% of the school want electronic newsletters, so 23% of the school want physical paper newsletters.
77% of 650 is 500.5.
23% of 650 is 149.5.
650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5
It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.
Answer:
Pay attention in class and u would understand,✌️