<span>Given the polar coordinate (r,θ), write. x=rcos θ and. y=rsin θ.Evaluate cos θ and. sin θ.Multiply cos θ by. r. to find the x-coordinate of the rectangular form.<span>Multiply sin θ by. r. to find the y-coordinate of the rectangular form.</span></span>
Answer:
86.16
Step-by-step explanation:
27+3÷ 3 +4-1+72.4-34.24+6-4+75÷5
PEMDAS
Multiply and divide first
3/3 is 1 and 75/5 = 15
Replace these into the equation
27+1 +4-1+72.4-34.24+6-4+15
Then add and subtract from left to right
31 +72.4-34.24+6-4+15
69.16+6-4+15
86.16
Answer:
12 and 8
Step-by-step explanation:
set two numbers as x and y
mean of 10 → x+y/2=10
range of 4 → x-y=4
x+y=20
+ x-y=4
____________
2x=24, x=12
12-y=4, y=8
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j. Hence, The vector AB is 16i + 12j.
<h3>How to find the vector?</h3>
If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j.
magnitude
Unit vector in direction of resultant = (4i + 3j) / 5
Vector of magnitude 20 unit in direction of the resultant
= 20 x (4i + 3j) / 5
= 4 x (4i + 3j)
= 16i + 12j
Hence, The vector AB is 16i + 12j.
Learn more about vectors;
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Answer:
The expression for the total cost of the visit to dentist is T = 50 + 100n .
Step-by-step explanation:
As given
The price of a visit to the dentist is $50.
If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist n cavities .
Let us assume that the total cost of the visit to dentist be T.
Than the expression becomes
T = 50 + 100n
Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .
