Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = 
phase shift = 
Vertical shift = -2
Angular velocity , w = 
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = 
w = 2
Phase shift = 
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2
Answer:
6
Step-by-step explanation:
so this is (base times hight)
(bH)
42=7x
you didvide 7 from both sides
42 divided by 7 is 6
so basically its 6
because that would be your base thats what you are missing
then its just baseically (BH) (7 times 6)= 42
if this is wrong im so sorry I just learned this good luck

Rounded to the tenth: 3.3
Square roots that are not perfect squares are always
irrational
Answer:
Corresponding Angles sum to 180°
Step-by-step explanation:
If a pair of parallel lines is cut by transversal that is not perpendicular to the parallel lines as shwon in the figures (attached below), then;
Four angles are acute, and four are obtuse.
- All four acute angles are equal: 2=3=6=7
- All four obtuse angles are equal: 1=4=5=8
- The sum of acute and obtuse angles is 180: for example, 1+2=180, 3+4=180, 5+6=180, 7+8=180
so the best attribute for the angle pair formed by two parallel lines intersected by a transversal is that Corresponding Angles sum to 180°.
Given that,
The diameter of a semicircle is 2 mm.
To find,
The area of the semicircle.
Solution,
Radius of semicircle, r = 1 mm
The area of a semicircle is given by the formula as follow :

So, the area of the semicircle is
.