Answer:
The Pythagorean Theorem states that 
Step-by-step explanation:
This formula applies to the side lengths and means that the length of leg "a" squared, plus the length of leg "b" squared, will equal the length of hypotenuse "c" squared. Please state a more specific question so I can go into more detail if you need it :)
1 yard ≈ 0.9144 m
Therefore,
10 yards = 10*0.9144 m = 9.144 m
13 yards = 13*0.9144 m = 11.8872 m
Area to be covered = 9.144*11.8872 = 108.697 m^2
Therefore, Samantha will require approximately 109 m^2 of carpet.
Answer:
Step-by-step explanation:
C
l
2
+
2
K
B
r
→
2
K
C
l
+
B
r
2
Given:
300
g
of
C
l
2
300
g
of
K
B
r
(a) Mass of
C
l
2
= 300g
Molecular mass of
C
l
2
= 2(35.45) = 70.906 g
/
m
o
l
No.of moles of
C
l
2
=
m
a
s
s
/
m
o
l
a
r
m
a
s
s
=
300
/
70.906
=
4.23
moles
Mass of
K
B
r
=
300
g
Molar mass of
K
B
r
=
39
+
79.9
=
118.9
g
/
m
o
l
No.of moles of
K
B
r
=
300
/
118.9
=
2.52
moles
Now,
Consider the equation:
C
l
2
+
2
K
B
r
→
2
K
C
l
+
B
r
2
1
mole of
C
l
2
= 2 moles of
K
C
l
4.23
moles of
C
l
2
= 2x4.23=
8.46
moles
2
moles of
K
B
r
= 2 moles of
K
C
l
2.52
moles of
K
B
r
=
2.52
moles
Now convert moles to mass,
Mass of
K
C
l
produced by
C
l
2
=
8.46
×
70.906
=
599.8
g
Mass of
K
C
l
produced by potassium bromide =
2.52
×
74.5
=
187.74
g
Answer:
Number of permutations = 5040
Step-by-step explanation:
We are given the word 'INNOVATIVE', that has total 10 letters.
Now, we are asked to form words using exactly 4 letters at a time i.e. out of 10 letters we are using 4.
Therefore, the number of permutations that can be formed using 4 letters are = P(10,4)
i.e. 
= 
= 
= 
= 10*9*8*7
= 5040
If

, then angle

is obtuse and triangle with sides a, b, c is obtuse triangle.
In an arbitrary triangle can be only one obtuse angle, and the side which lies opposite to the largest angle is the largest. Then since <span>angle

is opposite the side of length a</span> you can conclude that a>c and a>b.