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4 years ago

Please answer please correct answer

Mathematics

1 answer:

netineya [11]4 years ago

7 0

Answer:

∆GFI AND ∆JIK

∆GFI AND ∆JIK are corresponding angles

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The population of a local species of bees can be found using an infinite geometric series where a1=860 and the common ratio is 1

erma4kov [3.2K]

$a_1=860$
$a_2=\dfrac{a_1}5$
$a_3=\dfrac{a_2}5=\dfrac{a_1}{5^2}$
$\vdots$
$a_n=\dfrac{a_{n-1}}5=\dfrac{a_{n-2}}{5^2}=\cdots=\dfrac{a_1}{5^{n-1}}$

The $k$ th partial sum is

$\displaystyle S_k=\sum_{n=1}^ka_n=\sum_{n=1}^k\frac{a_1}{5^{n-1}}$
$S_k=a_1\left(1+\dfrac15+\dfrac1{5^2}+\cdots+\dfrac1{5^{k-2}}+\dfrac1{5^{k-1}}$
$\dfrac15S_k=a_1\left(\dfrac15+\dfrac1{5^2}+\dfrac1{5^3}+\cdots+\dfrac1{5^{k-1}}+\dfrac1{5^k}\right)$

$\implies S_k-\dfrac15S_k=a_1\left(1-\dfrac1{5^k}\right)$
$\dfrac45 S_k=860\left(1-\dfrac1{5^k}\right)$
$S_k=1075-\dfrac{1075}{5^k}$

As $k\to\infty$ , we're left with

$\displaystyle\sum_{n=1}^\infty a_n=\lim_{k\to\infty}\left(1075-\frac{1075}{5^k}\right)=1075$

which is the upper limit to the population of the bees.

4 0

3 years ago

in the backwaters of Kerala a boatman was throwing a Boat using a long pole of length 4.80 when he put the pole vertically into

Hitman42 [59]

Answer:

3.60m

Step-by-step explanation:

In backwaters of Kerala, a boatman was throwing a boat with a long pole which has a length of 4.80m

The boatman put the pole into the water vertically, the part of the pole that was seen above the water level is 0.25m

The first step is to calculate the length of the pole that is seen above the water level

= 4.80 × 0.25

= 1.20m

Therefore the depth of the water at that point can be calculated as follows

=4.80m - 1.20m

= 3.60m

Hence the depth of the water at that point is 3.60m

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3 years ago

This may sound stupid but over spring break I forgot

san4es73 [151]

The answer is 50

Ndndnbdnfjfjfjjsjsn

8 0

3 years ago

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The area of a rectangular roof on a bird house is 56 square inches is the length of the roof is 8 inches how wide is the roof in

alukav5142 [94]

The width is 7 inches. To find area, you do length times width. 8 times 7 equals 56.

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4 years ago

THX 8th grade math anyone that can help PLZ do so. :)(:

ikadub [295]

Answer:

The answer is B

Step-by-step explanation:

Each of the x factors multiplied by 5 gives you the dollar amount at that point. You can easily make an equation for this table.

3 0

3 years ago

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