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I like to start with changing fractions to decimals. It seems easier that way.
5/8 = 0.625 cups
Now divide 4 by 0.625
4 / 0.625 = 6.4
Noor can offer 6 cups with an extra 2/5 of a cup left. He can offer the 2/5 of a cup to a friend, so he can offer 7 friends some hot chocolate!
Answer: , or
<em>Hope this helps and have a great day!!!</em>
The largest side of the triangle measures 14 in. The triangle is obtuse so no two sides can be of equal length.
The sides of the triangle must follows the following two rules:
a) The sum of any two sides must be greater than the third side.
b) The difference of any two sides must be greater than the third side.
Since the largest side is 14, the unknown side will be smaller than 14. Only whole number values are allowed so the answer to this question will be 13.
For the side lengths 12, 13, 14, the sum of any two sides will be greater than the third side and difference of any two sides will be smaller than the two sides. The length is a whole number and the greatest positive number.
So, the <span>greatest possible whole number length of the unknown side can be 13 inches. </span>
Step-by-step explanation:
sin
2
(
20
°
)
+
sec
2
(
20
°
)
Simplify each term.
Tap for fewer steps...
Rewrite
sec
(
20
°
)
in terms of sines and cosines.
sin
2
(
20
°
)
+
(
1
cos
(
20
°
)
)
2
Apply the product rule to
1
cos
(
20
°
)
.
sin
2
(
20
°
)
+
1
2
cos
2
(
20
°
)
One to any power is one.
sin
2
(
20
°
)
+
1
cos
2
(
20
°
)
Simplify each term.
Tap for fewer steps...
Rewrite
1
as
1
2
.
sin
2
(
20
°
)
+
1
2
cos
2
(
20
°
)
Rewrite
1
2
cos
2
(
20
°
)
as
(
1
cos
(
20
°
)
)
2
.
sin
2
(
20
°
)
+
(
1
cos
(
20
°
)
)
2
Convert from
1
cos
(
20
°
)
to
sec
(
20
°
)
.
sin
2
(
20
°
)
+
sec
2
(
20
°
)
The result can be shown in multiple forms.
Exact Form:
sin
2
(
20
°
)
+
sec
2
(
20
°
)
Decimal Form:
1.24945210