Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Set up an equation to solve.
70% of original price equals $550, the amount Susan is paying.
0.70x = 550
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<h3>JOH-EUN OHUEYO!!</h3>
(GOOD AFTERNOON)
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Answer:
13
Step-by-step explanation:
6-(-7)=13
Answer:
m∠BDC = 43°
Step-by-step explanation:
According to the theorem every peripheral angle in the circle is equal to half value of central angle.
Angle m∠ADB is corresponding peripheral angle of central angle m∠AOB.
According to this m∠AOB = 2· m∠ADB = 2· 43 = 86°
If angle m∠BOC=m∠AOB= 86°
Angle m∠BDC is corresponding peripheral angle of central angle m∠BOC
According to this m∠BDC = m∠BOC/2 = 43°
Good luck!!!
