In order to find out what the value is when x=π, we have to model the function. It says it is a cosine wave, and a amplitude of 1/3 so we start as
1/3(cos(x))
It says a period of π/3. So the period of a cosine function is
2π/n
Where n is cos(nx)
So to find n, we set the period and that equal to each other
Finding n we get 6. So now we have
1/3(cos(6x))
The shift is -2π. When we have a shift of something, we put the opposite sign with the x. So now it's
1/3(cos(6x+2π))
Factor out a 6 and we get
1/3(cos(6(x+π/3))
If we add the period to x, nothing happens so it remains
1/3(cos(6x))
The vertical shift is -3 so we just add that to everything so it becomes
1/3(cos(6x))-3
Plugging in x=π we get
1/3(cos(6π))-3
Cos(6π) is 1 so it is 1/3 - 3, or -8/3
That answer would be A hope it right
Answer:
219
Step-by-step explanation:
a is the number needed to add from the first to the second which is 4(must be constant)
b is the term zero means 15-a which is 15-4=11
Answer:
2) ∠SDH and ∠SDT are right angles because SD ⊥ HT.
3) as it is given in the question.
4) is the reflexive property.
5) ΔSHD ≅ ΔSTD by RHS congruency.
Step-by-step explanation:
Given in the question:
In ΔSHD and ΔSTD
(Given)
(SD ⊥ HT)
(Common)
Therefore, (By RHS rule)
Reflexive property of congruency is defined as the property in which something is equal to itself. Hence, the reflexive property of these two triangles is
Answer:
233.19 inch³
Step-by-step explanation:
Volume of prisms: Length * Width * Height
given for first prism: Length = 7 cm Width = 3.25 cm Height = 7 cm
given for second prism: length = 7 cm width = 3.25 height = 3.25
using the formula:
Total volume: prism 1 volume + prism 2 volume
Total volume: 7 * 3.25 * 7 + 7 * 3.25 * 3.25
: 159.25+ 79.9375
: 233.1875 inch³
: 233.19 inch³ .........rounded to nearest hundredth