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Olin [163]
3 years ago
13

Use x to find their age

Mathematics
2 answers:
liraira [26]3 years ago
5 0
Let the age of the son be x, then the age of the father = 6x
x + 6x = 42
7x = 42
x = 42/7 = 6
Therefore the age of the son is 6 while the age of the father is 6(6) = 36.
Sunny_sXe [5.5K]3 years ago
5 0
Father =36...............................
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Find [4(cos15° + isin15°)]^3 and express it in a + bi form.
arsen [322]

Answer:

see explanation

Step-by-step explanation:

Using De Moivre's theorem

Given

[ 4(cos15° + isin15° ) ]³, then

= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]

= 64 (cos45° + isin45° )

= 64 (\frac{\sqrt{2} }{2} + \frac{\sqrt{2} }{2} i )

= 64 (\frac{\sqrt{2} }{2} (1 + i) )

= 32\sqrt{2} (1 + i)

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3 years ago
Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump wil
Bogdan [553]

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Explanation:

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Probability that only newer pump fail = P(B) = 0.05

Since they are independent events ,

then the conditions will be

P(A∩B) = P(A). P(B)

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8 0
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a box of cookies contain 12 chocolate chip cookies, 6 peanut butter cookies, and 6 sugar cookies, what is the probability of sel
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7 0
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Read 2 more answers
Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals
BARSIC [14]

Answer:

(0.5,-4.5)

Step-by-step explanation:

The given rectangle has diagonals have the endpoints P(-3, -2) ,I(4, -7) and A(4, -2) ,D(-3, -7)

The diagonals of the rectangle bisect each other so we use the midpoint formula to find their point of intersection.

The midpoint formula is;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We use any pair of endpoints of the diagonals to find the point of intersection.

Using A(4, -2) ,D(-3, -7)

(\frac{4+-3}{2},\frac{-2+-7}{2})

(\frac{1}{2},\frac{-9}{2})

or

(0.5,-4.5)

7 0
3 years ago
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