Answer:
B
Step-by-step explanation:
The ratios are 2:1
In the table it shows 4:2, 8:x, y:6, 20:z
To find if the ratios are equivalent we would need to plug in
Once plugging in answer B we get 4:2, 8:4, 12:6, 20:10 which would all equate to 2:1
Answer: 0.01 x 10 = .1
it moved ten spaces up or in simpler terms the decimal move one space to the right because the number is getting bigger.
Step-by-step explanation:
I am presuming that the question is who won or by how much did the winner win.
distance equals rate times time, or d = r*t
For the Hare d = 1600 and r = 10
1600 = 10 t
Divide both sides by 10
t = 160
The hare finished in 160 seconds
For the tortoise d = 1600 - 780 = 820 (due to the head start) and r = 5.3
820= 5.3 t
Divide both sides by 5.3
t = 154.72 (rounded to the hundredths place)
The tortoise won by 5. 28 seconds (160-154.72)
Answer:
0.609 / week ( to nearest thousandth)
or you can state it as 60.9% of a book per week
Step-by-step explanation:
That would be 14/23 = 0.609 / week
Answer:
Step-by-step explanation:
Numerator
sin
x
cos
y
+
cos
x
sin
y
−
[
sin
x
cos
y
−
cos
x
sin
y
)
=
sin
x
cos
y
+
cos
x
sin
y
−
sin
x
cos
y
+
cos
x
sin
y
=
2
cos
x
sin
y
Denominator
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
2
cos
x
cos
y
---------------------------------------------------------------
left side can now be expressed as
2
cos
x
sin
y
2
cos
x
cos
y
=
2
cos
x
sin
y
2
cos
x
cos
y
=
sin
y
cos
y
and
sin
y
cos
y
=
tan
y
=
right side hence proved
