Answer:
t = 3 arc cos(h/7)/π
Step-by-step explanation:
The equation h=7cos(pi/3 t) models the (h) height in centimeters after (t) seconds of a weight attached to the end of a spring that has been stretched and released. To solve the equation for t we will solve the equation step by step:
h=7cos(pi/3 t)
Step 1)
Divide both sides by 7
h/7 = 7cos(pi/3 t)/7
Now the equation becomes h/7=cos(pi/3 t)
Step 2)
h/7=cos(pi/3 t)
Now apply inverse cosine function:
arc cos (h/7) = pi/3 t
Step 3)
t = 3 arc cos(h/7)/pi
Thus t = 3 arc cos(h/7)/pi ....
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
- 1 plain chocolate and 1milk chocolate
- 1 plain chocolate and 1 white chocolate
- 1 milk chocolate and 1 white chocolate
<h3>we have to it like that only right??</h3>
Answer:
angle 1 and angle 3 are congruent
Step-by-step explanation:
Angles supplementary to the same angle are congruent. Here both angles 1 and 3 are supplementary to angle 2, so angles 1 and 3 are congruent.
_____
If you like, you can get there algebraically:
m∠1 + m∠2 = 180
m∠3 + m∠2 = 180
Subtract the second equation from the first:
(m∠1 + m∠2) - (m∠3 + m∠2) = (180) - (180)
m∠1 -m∠3 = 0 . . . . simplify
m∠1 = m∠3 . . . . . . add m∠3
When angle measures are the same, the angles are congruent.
∠1 ≅ ∠3
Answer:
3/4 of the area of the circle is of
squared units.
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:

In which the center is
and r is the radius.
Area of a circle:
The area of a circle of radius r is given by:

Circle (x+2)² + (y-5)² = 64
Comparing with the standard equation, we have that:

Area of the circle:

What is 3/4 of its area?

3/4 of the area of the circle is of
squared units.