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alexandr402 [8]
2 years ago
9

The ages of three cousins are consecutive even whole numbers. The sum of the youngest and oldest ages is 16. How old is the olde

st cousin?
Mathematics
2 answers:
mamaluj [8]2 years ago
3 0

the oldest cousin might be 20 years old

Liono4ka [1.6K]2 years ago
3 0

I believe the three ages are 6 8 & 10, the eldest being 10 and the youngest being 6.

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Prove this qns plzz ​
artcher [175]

Answer:

L.H.S.

= (cos5a.sin2a-cos4a.sin3a)/ (sin5a.sin2a-cos4a.cos3a)

Multiply numerator and denominator by 2.

= 2(cos5a.sin2a - cos4a.sin3a) / 2(sin5a.sin2a - cos4a.cos3a)

= (2cos5a.sin2a - 2cos4a.sin3a)/

(2sin5a.sin2a - 2cos4a.cos3a) = [sin(5a+2a)-sin(5a-2a)-sin(4a+3a)

+sin(4a-3a)]/[cos(5a-2a)-cos(5a+2a)-sin(4a-3a) +cos(4a+3a)]

= (sina - sin3a)/(cso3a-cosa)

= (-2cos2a.sina)/(-2sin2a.sina)

= cos2a/sin2a

= cot2a

= R.H.S.

6 0
2 years ago
Read 2 more answers
For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne
SVEN [57.7K]

Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-4}x\\ 4=-4x\\x=-1

8 0
2 years ago
An equal
Helga [31]

Answer:

the correct answer is 19

Step-by-step explanation:

I just took the quiz

5 0
2 years ago
SIMPLIFY this expression.
oksano4ka [1.4K]

Answer:

none of the answer above

Step-by-step explanation:

it should be

16x +8 or 8(2x+y)

group the number together according to alphabet and number

8 0
3 years ago
Which one is greater 24*36 or 18 twenty-fourths doblulded ​
bekas [8.4K]

Answer:

SO 18²⁴ IS GREATER

Step-by-step explanation:

24×36=864

18²⁴=1.3382588×10³⁰

HOPE IT WILL HELP ^_^

4 0
3 years ago
Read 2 more answers
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