3.5*(-3)///////3.5*(-3)//////all of this parts same
Answer:
"Haruto is correct because the angle is coterminal with 3pi/4 and the reference angle is pi/4."
Step-by-step explanation:
Coterminal angle:
Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
Finding if 3pi/4 is coterminal with 19pi/4:
19pi/4
= 16pi/4 + 3pi/4
= 4pi + 3pi/4
= 2(2pi) + 3pi/4
= 2(360°) + 3pi/4
= 3pi/4
Hence they are coterminal.
Reference angle:
The smallest angle that the terminal side makes with x-axis.
3pi/4 falls in second quadrant.
In 2nd quadrant, reference angle is given as = pi - 3pi/4
reference angle = pi/4.
Answer:
23 degrees
Step-by-step explanation:
6x + 42 = 180
x = 23
Using a calculator with the binompdf and binomcdf features, I can calculate these values. My calculator is a TI-83 plus, and the features are found under the 2nd, Vars keys (Scroll up or down until you see them).
If "exactly" is to be found, use binompdf:
binompdf(number of trials, probability of success, exactly number)
ANSWER for exactly 3: binompdf(8, 0.5, 3) = 0.21875 = 21.875%
If "at least" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at least number - 1)
ANSWER for at least 6: binomcdf(8, 1/2, 5) ≈ 0.8555 ≈ 85.55%
If "at most" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at most number)
ANSWER for at most 3: binomcdf(8, 0.5, 3) ≈ 0.3633 ≈ 36.33%
H²+10h+21 = 0
h²+3h+7h+21 = 0
h(h+3)+7(h+3) = 0
(h+3)(h+7) = 0
h+3=0
h = -3
h+7=0
h=-7