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3 years ago

Find the sum of the following geometric series. 8 + 1.6 + 0.32 + 0.064 +...

Mathematics

1 answer:

bazaltina [42]3 years ago

4 0

Answer is : 1.2 geometric series

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A quadratic parent function is translated 3 units to the left and 4 units up

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3 years ago

Line k is parallel to y= -2x - 1 and passes through the point (4,3). What is the y intercept of line k?

Schach [20]

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2 years ago

Help me please <br><br> will get rewared brainly if correct answer

larisa [96]

Well, split it into 3 shapes

21 x 10 = 210

3 x 6 = 18

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210 + 18 + 12 = 240 square cm

imahe for more context

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3 years ago

A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a 2 feet

Ksivusya [100]

Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

The length (L) of the rectangular swimming pool is twice its wide (W):

$L_{1} = 2W_{1}$

Also, the area of the walkway of 2 feet wide is 448:

$W_{2} = 2 ft$

$A_{T} = W_{2}*L_{2} = 448 ft^{2}$

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

$A_{T} = A_{1} + A_{w}$ (1)

The area of the pool is given by:

$A_{1} = L_{1}*W_{1}$

$A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2}$ (2)

And the area of the walkway is:

$A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1}$ (3)

Where the length of the bigger rectangle is related to the lower rectangle as follows:

$L_{2} = 4 + L_{1} = 4 + 2W_{1}$ (4)

By entering equations (4), (3), and (2) into equation (1) we have:

$A_{T} = A_{1} + A_{w}$

$A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}$

$448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}$

$224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1}$

$224 = W_{1}^{2} + 8 + 6W_{1}$

By solving the above quadratic equation we have:

W₁ = 12 ft

Hence, the width of the pool is 12 feet, and the length is:

$L_{1} = 2W_{1} = 2*12 ft = 24 ft$

Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!

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3 years ago

In a recent year, 27.2% of all registered doctors were female. If there were 55,900 female registered doctors that year, what wa

xenn [34]

it's B why they need me to write something long the answer is ez B

Step-by-step explanation:

it f common sense

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2 years ago