Answer:
we should know that :
sin ( a + b ) = sin a * cos b + sin b cos a
For the given equation :
sin (π + q) = sin π * cos q + sin q * cos π
sin π = zero and cos π = -1
∴ sin (π + q) = 0 * cos q + sin q * (-1) = - sin q
<u>Another solution:</u>
The angle (π + q) lies in the third quarter ⇒ (1)
(π + q) and (-q) are supplementary angles ⇒ (2)
From (1) and (2)
sin(π + q) = -sin q
Answer:
Step-by-step explanation:
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall. (correct)
The median height of the students in Mrs. Hill's class is 152 centimeters. (correct)
The interquartile range of this data set is 15 centimeters. (incorrect, 154-147=17 cm)
The mean height of the students in Mrs. Hill's class is 152.5 centimeters. (we don't get to know the mean height from the graph).
Answer:
f(x)=5.05 sin((pi/12)x) + 5.15
Step-by-step explanation:
Cross multiply X×4=3×1
4x=3
X= 3/4
Answer and Step-by-step explanation:
<u>Mandy travels more miles.</u>
We determine this by multiplying the distance from home by the number of trips.
For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.
For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.
Many travels 2 more miles in total than Matt.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>