The answer is 315. Since the two numbers vary directly, when one of them triples, the other must do the same! :)
Answer:
x = 3.2 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 2.4² = 4²
x² + 5.76 = 16 ( subtract 5.76 from both sides )
x² = 10.24 ( take the square root of both sides )
x = = 3.2
Answer:
4 d
Step-by-step explanation:
Given D is mid-point of BC and AD⊥AC
From right angle △DAC
cosC=
a/2
b
=
a
2b
...(i)
also from cosine formulae
cosC=
2ab
a
2
+b
2
−c
2
...(ii)
From (i) and (ii) we get
a
2b
=
2ab
a
2
+b
2
−c
2
⇒4b
2
=a
2
+b
2
−c
2
⇒b
2
=
3
a
2
−c
2
∴cosAcosC=
2bc
b
2
+c
2
−a
2
.
a
2b
=
ca
[(
3
a
2
−c
2
)+c
2
−a
2
]
=
3
2
(
ca
c
2
−a
2
)
Answer:
(x - 3)(x + 3)(x² + 9)
Step-by-step explanation:
Step 1: Difference of Squares
(x² - 9)(x² + 9)
Step 2: Difference of Squares <em>within </em>Difference of Squares
(x - 3)(x + 3)(x² + 9)
*You can't factor x² + 9 because it has no real roots. You can factor it to have complex roots (imaginary number i).
Hi There
To find the distance, you have to make them proportional to each other.
1 cent. / 30 kilo. = 7.5 cent. / x
Then you cross multiply.
30 x 7.5 = x
225 = x
The distance between the two cities is 225 kilometers.
Hope that helps:)
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