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3 years ago

10th term in 16,8,4

Mathematics

1 answer:

seropon [69]3 years ago

5 0

this is gp because

because ratio of next term to previous term is always same.

8/16= 4/8 = 1/2

so common ratio is 1/2

first term is a = 16

so nth term of a gp is given as

Tn = ar^(n-1)

T10 = 16 × (1/2)^(10-1)

= 16 × (1/2)^9 = 1/32

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Equivalent to 10 minus 8

Reptile [31]

1+1

Hope this helps!

5 0

3 years ago

Tom and Bob have a total of 49 toys if Bob has 5 more toys than Tom, how many toys does each one have

pickupchik [31]

49 + 5 = 54

So the answer is 54

5 0

3 years ago

Read 2 more answers

Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

3 years ago

An electronic device that previously sold for $21.00 has been reduced to $17.43. The price reduction, rounded to the near east w

svet-max [94.6K]

The percentage of reduction is 17%

<u>Explanation:</u>

Original price = $21

Reduced price = $17.43

Percentage of reduction = ?

Difference in price = $21 - $17.43

= $3.57

Percentage of reduction = $\frac{difference}{original} X 100$

$= \frac{3.57}{21} X 100\\\\= 17$

Therefore, percentage of reduction is 17%

7 0

3 years ago

What property is this

Alexxandr [17]

I think this is the associative property of multiplication.

8 0

3 years ago

Read 2 more answers