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siniylev [52]
3 years ago
12

HELP ME OUT PLEASE!!

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

The area is 426.90.

Step-by-step explanation:

You might be interested in
Find the point P on the line yequals=66x that is closest to the point (74 comma 0 )(74,0). What is the least distance between P
tekilochka [14]

Answer:

The point P that is closest to the point (74, 0) is P(7.4, 22.2), and the least distance between P and (74, 0) is 70.2

Step-by-step explanation:

Given

y = 66x

And a point A(74, 0)

We are required to find the point on the line that is closest to A, and then find the distance between these points.

Let the point be P(s, t)

Because it's coordinate satisfies the given equation

y = 3x

Let t = 3s, then we have

p(s, t) = P(s, 3s)

Next, we find the distance between P and A

Let the distance be

D = √[(x1 - y1)² + (x2 - y2)²]

Here x1 = 74, x2 = 0, y1 = s, y2 = 3s.

D = √[(74 - s)² + (0 - 3s)²]

= √(s² - 148s + 5476 + 9s²)

= √(10s² - 148s + 5479)

To maximize the distance, we find the derivative of D with respect to s, and set it to 0.

That is dD/ds = 0

dD/ds =

(20s - 148)/2√(10s² - 148s 5479) = 0

=> 20s - 148 = 0

20s = 148

s = 148/20

s = 7.4

Since t = 3s, we have

t = 22.2

So, the point is P(7.4, 22.2)

Finally, we find the distance D.

D = √[(74 - s)² + (0 - 3s)²]

D = √[(74 - 7.4)² + (0 - 3×7.4)²]

D = √(4435.56 + 492.84)

= √4928.4

D = 70.2

Therefore, the distance is 70.2

4 0
3 years ago
A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
nignag [31]

Answer:

A. 10cm

B. 8 times

Step-by-step explanation:

The question is on volume of a conical container

Volume of a cone= \pi r^{2} h/3

where r is the radius of base and h is the height of the cone

Given diameter= 12 cm, thus radius r=12/2 =6 cm

v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h

h=10 cm

B.

If height and diameter were doubled

New height = 2×10 =20 cm

New diameter = 2×12 = 24, r=12 cm

volume = v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi

To find the number of times we divide new volume with the old volume

N= 960\pi /120\pi \\\\N= 8

8 0
3 years ago
Read 2 more answers
A centimeter is equal to <img src="https://tex.z-dn.net/?f=1%2F10" id="TexFormula1" title="1/10" alt="1/10" align="absmiddle" cl
victus00 [196]

Answer:

20 cm

because

1 cm = 0.1 dm

so 1 dm = 10 cm

then:

2 dm = 2 * 10 cm = 20 cm

5 0
3 years ago
Which table represents the graph of a logarithmic function with both an x-and y-intercept?
Alex

its the second option on edge

7 0
3 years ago
Would i add both of the coordinate numbers in this case?
fredd [130]
I Think You Plug in the X And Y Axis And You Will Get It
8 0
3 years ago
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