Answer:
Billy’s angular velocity, is 1508.16 radians per second
Step-by-step explanation:
We have to find angular velocity in radians per second
we have given angular velocity w = 4 revolutions per minute
we have to convert revolutions into radians and minutes into seconds.
so, we use the following conversion:
1 rev = 2* pi radians (where pi = 22/7 or 3.142)
1 min = 60 sec
putting the values in our equation : w = 4 revolutions per minute
=> w= 4 * ( 2* 3.142) *60
=> w= 1508.16 radians per second
hence Billy’s angular velocity, is 1508.16 radians per second
To do this we will divide d amount of dollars by d amount of lbs.
Lets do it:-
16.87 ÷ 3.5 = 4.82
1 lb of trail mix is for $4.82
CHECK OUR WORK:-
4.82 × 3.5 = 16.87
We were RIGHT!!
So, 1 lb of trail mix costs $4.82.
Hope I helped ya!! xD
Answer:
The inverse function is 
Step-by-step explanation:
The given function is
.
This function is only invertible on the interval,
.
To find the inverse on this interval, we interchange
and
.

We now make
the subject to get,



But the given interval is
, This implies that,
.

Answer:
The answer is 72 degrees
Step-by-step explanation:
The picture that Helpmetnx showed does work. But they made a mistake and assumed that the diagonal is a angle bisector, and it's not.
1. rectangle ABCD, BD & AC are the diagonals. ∠ABD =36 degrees
2. ∠ABD= ∠BDC = 36 - alternate interior angles
3. ∠DBC = 90 - 36 = 54. ∠DBC =∠ADB = ∠BCA = 54
4. Now we know that the triangle formed between the two diagonals is a isosceles triangle because of base angle theorem.
5. 180 - 54*2 = 72 degrees
I hope this helps!
Answer:
The missing reason in the proof is transitive property
Step-by-step explanation:
<u>Statement </u> <u>Reason </u>
1. x ∥ y w is a transversal 1. given
2. ∠2 ≅ ∠3 2. def. of vert. ∠s
3. ∠2 ≅ ∠6 3. def. of corr. ∠s
4. ∠3 ≅ ∠6 4. ??????????
From the statements 2 and 3
The previous proved statement to make use of the transitive property reason or proof
∴ 4. ∠3 ≅ ∠6 4. transitive property
Note: the transitive property states that: If a = b and b = c, then a = c.