Answer:
the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2
Step-by-step explanation:
The computation of the coordinates of the point is shown below:
The angle is
= 4π ÷ 3
The radius is 1 unit
Now
x = rcos
, and y = rsin
Now
x = 1cos(4π ÷ 3) = -1÷ 2
y = 1sin(4π ÷ 3) = -√3÷ 2
hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2
A planets gravity pulls equally from all sides, this is why all planets are almost perfectly spherical in shape.
Answer:
The nomber of people can attend a dinner that costs $131. 50 is 14.
Step-by-step explanation:
With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:
c=16+8.25x, where:
c is the total cost of he dinner
x is the number of people
Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:
131.50=16+8.25x
131.50-16=8.25x
115.50=8.25x
x=115.50/8.25
x=14
According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.
<span>2x+ y = 3
x = 2y - 1
Make sure there are NO SPACES in your answer. Include a comma in your answer.
It looks like I could substitute the x=2y-1. Into 2x+y=3
2(2y-1)+y=3
4y-2+y=3
5y=5
y=1
x=2(1)-1
x=1
(1,1)
CHECK
2x+y=3
2(1)+(1)=3
2+1=3
3=3
Left hand side=Right hand side
Check other equation
x=2y-1
1=2(1)-1
1=1
Therefore the solution is (1,1). Since the left hand side= right hand side in each equation</span>
Answer:
Yes, the bill is absolutely accurate
Step-by-step explanation:
Cost of materials= $ 678.12
Final bill amount(given)=$1206.12
Rate= $32 per hour for 16.5 hrs
Total amount for 32 hrs = time * rate = 16.5* 32=$528
Therefore, by the problem ,
<em>Cost of materials+ Total amount for 32 hrs = Final bill amount</em>
= 678.12+ 528
=1206.12
<u>Therefore , the final bill amount is 100% accurate as it completely matches with the given bill amount</u>
