<span>Okay. Well it's C. 1/2 hour is 30 mins, so 30 times 3 is 90. Just as the answer states, 90 water balloons filled after 1/2 of an hour. </span>
Answer:
50, 40, 30, 250, 350
Step-by-step explanation:
1/2 = 0.5, 0.5 x 100 = <u>50</u> (0.5 -> 5 -> 50)
2/5 = 0.4 (10 / 5 [the denominator] = 2, 0.2 x 2 [the numerator] = 0.4), 0.4 x 100 = <u>40</u> (0.4 -> 4 -> 40)
3/10 = (10 / 10 [the denominator] = 1, 0.1 x 3 [the numerator] = 0.3), 0.3 x 100 = <u>30</u> (0.3 -> 3 -> 30)
5/2 = 2.5 (2 1/2), 2.5 x 100 = <u>250</u> (2.5 -> 25 -> 250)
7/2 = 3.5 (3 1/2), 3.5 x 100 = <u>350</u> (3.5 -> 35 -> 350)
Note: I'm not sure if I understand the question completely, but I changed the fraction into a decimal and multiplied it by 100. Not sure what it means by "<u><em>Divide</em></u><em> fraction</em>".
Answer:
It’s either 2 or 3 but I’m say 2.
Answer:
Find sin 2x, knowing tan x = -2, and cos x > 0
Ans:
sin
2
x
=
4
5
Explanation:
3 Trig identities to be used:
1
+
tan
2
x
=
1
cos
2
x
(1)
sin
2
x
+
cos
2
x
=
1
(2)
sin
2
x
=
2
sin
x
.
cos
x
(3)
Given tan x = -2. First find cos x and sin x
(1) -->
1
+
4
=
1
cos
2
x
-->
cos
2
x
=
1
5
-->
cos
x
=
±
1
√
5
.
Since cos x > 0, then
cos
x
=
1
√
5
.
(2) -->
sin
2
x
=
1
−
cos
2
x
=
1
−
1
5
=
4
5
-->
sin
x
=
±
2
√
5
.
Since cos x > 0 then
sin
x
=
2
√
5
.
(3) -->
sin
2
x
=
2
sin
x
.
cos
x
=
2
(
1
√
5
)
(
2
√
5
)
=
4
5
Answer link
