Answer:
The relation between polar and Cartesian coordinates are
r2=x2+y2
tan
θ
=
y
x
,
x
=
r
cos
θ
,
y
=
r
sin
θ
r
=
8
sin
θ
∴
r
⋅
r
=
r
⋅
8
sin
θ
or
r
2
=
8
r
sin
θ
∴
x
2
+
y
2
=
8
y
or
x
2
+
y
2
−
8
y
=
0
or
x
2
+
y
2
−
8
y
+
16
=
16
or
x
2
+
(
y
−
4
)
2
=
4
2
Rectangular form is
x2+(y-4)2=42
graph{x^2+(y-4)^2=16 [-20, 20, -10, 10
Step-by-step explanation:
i created it that way so yall will take a longer time to answer
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
If Alex cut his wire 18 times, he ended up with 19 equal pieces. He kept 7, so has 7/19 of his 1/3 of the wire.
Bob cut his wire 20 times, so ended up with 21 pieces, of which he kept 9. So he has 9/21 = 3/7 of his 1/3 of the wire.
Claudia kept 1/13 of her 1/3 of the wire, so has the smallest piece.
Bob kept (3/7)·(1/3)·126 cm = 18 cm.
Alex kept (7/19)·(1/3)·126 cm ≈ 15.47 cm.
Bob kept the longest part of the original wire.
Answer:
Each hot dog = $3
Each french fry = $2
Step-by-step explanation:
First, lets define our variables:
x = Hotdog
y = fries
Next, you need to set up a cost equation for both Toby and Bernie:
8x + 5y = 34
2x + 6y = 18
Now, we need to isolate one of the variable:
2x + 6y = 18
2x = 18 - 6y
x = 9 - 3y
Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):
8x +5y = 34
8 (9-3y) + 5y = 34
72 - 24y + 5y = 34
72 - 19y = 34
19y = 38
y or fries = $2
Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:
2x + 6y = 18
2x + 6(2) = 18
2x + 12 = 18
2x = 6
x or hotdog = $3
I hope this helps!
-TheBusinessMan
Answer: 2250
Step-by-step explanation:
the smallest amount of money Carlos needs is 2250 because 750 is exactly 1/3 of 2250.
<span>=>The triangles have equal base lengths and equal heights...
</span>=>The triangles are congruent....
<span>=>The triangles are similar....
Hope it helps !!!</span>
