Answer: option a.
Step-by-step explanation:
In polar coordinates we have that:
x = r*cos( θ)
y = r*sin( θ)
we know that x = 4 and y = 4. now let's analyze the options:
a) x = 4√2*cos(45°) = 4 nice.
y = -4√2*sin(225°) = 4 nice
Option a is correct
b) x = 4√2*cos(315°) = 4 nice
y = -4√2*sin(135°) = -4 incorrect
option b is not correct
c) x = 4√2*cos(135°) = -4 incorrect
Option c is not correct
d) x = 4√2*cos(225°) = -4 incorrect
option d is not correct
Answer: 3
<u>Step-by-step explanation:</u>
This problem is looking for the Greatest Common Factor (GCF) of 6 and 15.
Draw a factor tree for each number and see what they have in common.
<u> Reg </u> <u> Diet </u>
6 15
∧ ∧
2 3 3 5
The GCF of 6 and 15 = 3
Each table will contain 2 cans of regular soda and 5 cans of diet soda.
The dimensions would be: Length=36 and Width=32. I solved this by just using multiples of the numbers in the ratio. 9x4=36 and 8x4=32, so the ratio can still simplified to 9:8. P=2xL+2xW, so (2x36)+(2x32)=136.
L=36ft. and W=32ft.
Hi!
Answer:
C, (6,0) is located on the x-axis.
Step-by-step explanation:
A. is wrong because (0,5) is located on the y-axis because it is going 5 points up, not right
B. and D. are wrong because none of them are located on the origin
That leaves C. and it is right because (6,0) is located on the x-axis
Want proof?
I have some:
Hope this helps anybody!