Answer:
23 degrees
Step-by-Step Explanation:
SU is the transversal between the two parallel lines ST and RU
so angle SUR is equal to angle TSV=31 degrees
angle RVU is 126 degrees also because it is a vertical angle with angle SVT
angle URV is the angle being looked for in the triangle URV, and we know the two others sum to 157 degrees.
Therefore, it is 23 degrees.
Answer:
The answer is:
The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .
Step-by-step explanation:
The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .
Look at the attached picture of a spinner:
We know that the angle formed by a straight line is equal to 180°
So, in order to map label g to label B we have to set the needle of the spinner straight. Hence the angle formed by the needle is 180° ....
Answer:
Hey!
Your answer is C.42.4yd
Step-by-step explanation:
There are 2 ways you can work this on out...
1. Using Pythagoras Theorem...
= 30^2 + 30^2 = 1,800 (30^2=900 so you've added 2 of those to make 1,800)
= SQUARE ROOT THE ANSWER OF 1,800
= 42.42640687119285
TO GET A MORE PRECISE ANSWER WE ROUND IT UP TO 1 decimal place
= 42.4 yd is the diagonal length of the dance floor!!
HOPE THIS HELPS!!
Answer:
Area of the fabric = 175 square inches
Step-by-step explanation:
Area of a trapezoid = (b1 + b2)/2 * h
Where,
b1 = 16 inches
b2 = 9 inches
h = 14 inches
Area of a trapezoid = (b1 + b2)/2 * h
= (16 + 9)/2 * 14
= 25/2 * 14
= 12.5 * 14
= 175 square inches
Area of the fabric = 175 square inches
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
