All there ages is 24 all together because if you divide 72/3 you get 24 then multiply it by 3 you will get 72
Answer: b is correct
Step-by-step explanation:
Answer:
/65
Step-by-step explanation:
a²+b²=c²
c will always be the hypotenuse
4²+7²=65² the opposite of ² is square root so
/65
it doesn't want it answered so that's your final answer.
Answer:
φ ≈ 1.19029 radians (≈ 68.2°)
Step-by-step explanation:
There are simple formulas for A and φ in this conversion, but it can be instructive to see how they are derived.
We want to compare ...
y(t) = Asin(ωt +φ)
to
y(t) = Psin(ωt) +Qcos(ωt)
Using trig identities to expand the first equation, we have ...
y(t) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)
Matching coefficients with the second equation, we have ...
P = Acos(φ)
Q = Asin(φ)
The ratio of these eliminates A and gives a relation for φ:
Q/P = sin(φ)/cos(φ)
Q/P = tan(φ)
φ = arctan(Q/P) . . . . taking quadrant into account
__
We can also use our equations for P and Q to find A:
P² +Q² = (Acos(φ))² +(Asin(φ))² = A²(cos(φ)² +sin(φ)²) = A²
A = √(P² +Q²)
_____
Here, we want φ.
φ = arctan(Q/P) = arctan(5/2)
φ ≈ 1.19029 . . . radians
Out of 70 brownies , 42 were caramel.
Ratio of Caramel Brownies to Brownies: 42/70
If you further simplify it , 42/70 is the same thing as 6/10 , which can also be expressed as 60%
Answer: 60% of the brownies were caramel
Hope it helps
