So the right answer is 972 pie units^3.
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
18 multiplied by 2/9 = 4
Step-by-step explanation:
To determine the number of almonds that Pete grabbed, you have to multiply how much of the nuts were almonds by the total number of nuts that he grabbed. So,
2/9 × 18
= 0.2222 × 18
= 4
Pete grabbed 4 almonds out of the 18 mixed nuts that he grabbed.
Hope that helps.
Option D is the correct answer
Further explanation:
Let
The perimeter of a rectangle is given by:
It is also given that:
So we can write as
We also know that The length of the rectangle is three times its width
Putting the value of l in the inequality
Rearranging the terms
Hence, option D is the correct answer.
Keywords: Inequalities, Perimeter
Learn more about inequalities at:
#LearnwithBrainly
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
