Answer:
The circumference is 59.66 cm
Step-by-step explanation:
we know that
The circumference of a circle (ring) is given by the formula

If the radius is

substitute in the formula

----> exact value
assume

substitute

Speed of current ------ y km/h
<span>distance with the current = 4(x+y) </span>
<span>distance against the current = 5(x-y) </span>
<span>we know that 3.5(x+y) = 70 </span>
<span>x+y = 20 </span>
<span>but 4(x+y) = 4(20) = 80 </span>
<span>then 5(x-y) = 80 </span>
<span>x-y = 16 </span>
<span>x+y=20 </span>
<span>x-y=16 </span>
<span>add them </span>
<span>2x = 36 </span>
<span>x = 18 , then y = 2 </span>
Answer:

Step-by-step explanation:
The sinusoidal function has a general form of:

The period is given by:

Y is the y-intercept, thus y = 3.
At the maximum value:

At the minimum value:

Therefore, the equation of the function described is:

in a right-triangle, like in the 1st Quadrant, cosine and sine are complements, so then
sin(x) = cos(90° - x)
cos(x) = sin(90° - x)
for this case, sin(<u>90°</u>) = cos(90° - <u>90°</u>), or just cos(0°) = 1.
Answer:
6 * 3/4 = 9 2 = 412 = 4.5
Step-by-ste
6 * 3/4 = 6/1 3*4 = 18/4 = 9/2
2 · 2 = 9/2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 4) = 2. In the next intermediate step cancelling by a common factor of 2 gives 9
2
.
In words - six multiplied by three quarters = nine halfs.