16/34, ratio is other words of fraction, also means 16out of 34
Answer:
26 rows
Step-by-step explanation:
this is like a rectangle length×width situation.
seats per row = s
number of rows = r
s × r = 884
s = r + 8
so, we can use e.g. the second equation in the first :
(r + 8) × r = 884
r² + 8r = 884
r² + 8r - 884 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = r
a = 1
b = 8
c = -884
r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =
= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =
= (-8 ± 60)/2 = -4 ± 30
r1 = -4 + 30 = 26
r2 = -4 - 30 = -34
a negative number did not make any sense for the number of rows, so r = 26 is our answer.
Answer:
<h2>Area = 90 cm²</h2><h2>Perimeter = 53 cm</h2>
Step-by-step explanation:
area and perimeter of the given diagram
<u>area = 1/2 * base * height</u>
where base = 15 cm
height = 12 cm
plugin values into the formula
area = 1/2 * 15 * 12
area = 90 cm²
<u>Perimeter = add up all sides (AB + AC + BC)</u>
where side BC = √(5² + 12²)
BC = 13 cm
Perimeter = 25cm + 15 cm + 13 cm
Perimeter = 53 cm
The answers are
f
o
g
(
x
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=
−
2
x
+
23
and
g
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f
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x
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=
−
2
x
+
5
Explanation:
f
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x
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=
−
2
x
+
11
g
(
x
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=
x
−
6
f
o
g
(
x
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=
f
(
g
(
x
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)
=
f
(
x
−
6
)
=
−
2
(
x
−
6
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+
11
=
−
2
x
+
12
+
11
=
−
2
x
+
23
g
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f
(
x
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=
g
(
f
(
x
)
)
=
g
(
−
2
x
+
11
)
=
−
2
x
+
11
−
6
=
−
2
x
+
5
I think that the equations speak by themselves.
Of course,
f
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g
(
x
)
≠
g
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f
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x
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New Delhi
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Is the anser
