If a 6 foot tall man casts a 9 foot shadow what is the approximate from top of his head to the top of his shadow

Find all polar coordinates of point P = (6, 31°). Im really struggling with this problem and I can't seem to find a consistent a

Kaylis [27]

Answer:

1. (6, -329°) (-6, 211°) (-6, -149°)

2. (5, -5π/3) (-5, 4π/3) (-5,-2π/3)

Notice: (+,+),(+,-),(-,+),(-,-).

If we consider angles beyond 360° or 2π, many other names for these points can be determined.

The polar coordinate can be written as (r, θ) = (r, θ + 2nπ) or (r, θ) = [ - r, θ + (2n + 1)π ], where n is any integer

3 0

3 years ago

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you have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches .if you pour the water into

Romashka-Z-Leto [24]

Volume of cylinder=πr²h volume of another cylinder=πr²h
=22/7×1.5×1.5×8 =22/7×2.5×2.5×12
=396/7 =1560/7
=56.57 =235.71

=235.71-56.57
=179.14 amount of water is able to hold by the larger cylinder

4 0

3 years ago

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A large aquarium should contain 10,000 liters of water when it is filled correctly. Fish will get sick if the aquarium gets down

pashok25 [27]

Answer:

9016 litres left

Step-by-step explanation:

The fish were not sick.

You would multiply 20.5 by 48 which is the amount of hours in 2 days then subtract that amount from 10000 to see how much is left

8 0

3 years ago

Carmella is purchasing a $105,000 home and her bank is offering her a 30-

GREYUIT [131]

Answer:

$132.93

Step-by-step explanation:

We will use annuity formula, which is:

$P=C[\frac{1-(1+r)^{-n}}{r}]$

Where P is the loan amount

C is the monthly payment

r is the rate of interest [monthly]

n is the time period [in months]

Firstly, let's calculate her normal monthly payment (without purchasing points):

P is 105,000

C is what we need to find

r is the 0.045/12 = 0.00375

n is 12*30 = 360

Now, we have:

$P=C[\frac{1-(1+r)^{-n}}{r}]\\105,000=C[\frac{1-(1+0.00375)^{-360}}{0.00375}]\\105,000=C[197.3612]\\C=532.02$

So monthly payment would be around $532.02

Now,

With each point purchase, the interest rate goes down by 0.25%, so for 2 points it will be 4.5% - 2(0.25) = 4%

Also, since 20% downpayment, the loan amount would be (0.8)(105,000) = 84,000.

Now, putting these values into the annuity formula we have:

$84,000=C[\frac{1-(1+0.0033)^{-360}}{0.0033}]\\84,000=C(210.4766)\\C=399.09$

The monthly payment would be around $399.09

The amount that is lower is 532.02 - 399.09 = $132.93

4 0

3 years ago

I need the intervals please

serg [7]

Answer:

1. (-6, -5) to (-5, -4)

2. (-3, -4) to (-1, -1)

Step-by-step explanation:

Increasing intervals include the x- and y- points increasing.

PS: I don't really know how to present the answer so if you're gonna submit it for a test or smth pls improve on the formatting yourself based on the question (So sorry I didn't really understand the question about writing a list of intervals and separating them with a comma :P)

5 0

3 years ago