Given: P∈ BC , Pabc = 45, Pabp = 30, Papc = 35. Find AP.

Given:

It is given that surface area must be less than 150 cm².

Solution:

The Maximum Volume With Total Surface Area Less  than 150 cm² is shown in the table.

From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm²  and the volume will be the maximum.

[tex]S=2\pi rh+2\pi r^2\\S=2\pi (3)(7.95)+2\pi3^2\\S=93.3+56.5\\S=149.8 \text{ cm}^2[/tex]

Calculate the volume.

[tex]V=\pi r^2h\\V=\pi(3)^2(4.95)\\V=139.96[/tex]

Hence, the required dimensions are r=3.00 cm and h=4.95 cm.

Answer:

The answer is option 1.

Step-by-step explanation:

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).

Option 1,

[tex]y = 3 {x}^{2} - 2x + 1[/tex]

[tex]D = {( - 2)}^{2} - 4(3)(1)[/tex]

[tex]D = - 8[/tex]

[tex]D < 0[/tex]

Option 2,

[tex]y = 3 {x}^{2} - 6x + 3[/tex]

[tex]D = {( - 6)}^{2} - 4(3)(3)[/tex]

[tex]D = 0[/tex]

Option 3,

[tex]y = 3 {x}^{2} - 7x + 1[/tex]

[tex]D = {( - 7)}^{2} - 4(3)(1)[/tex]

[tex]D = 37[/tex]

[tex]D > 0[/tex]

Option 4,

[tex]y = 3 {x}^{2} - 4x - 2[/tex]

[tex]D = {( - 4)}^{2} - 4(3)( - 2)[/tex]

[tex]D = 40[/tex]

[tex]D > 0[/tex]

As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.

The given curve in the graph is generated by the equation y =3x² - 2x +1. The correct option is A.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercepts).

Option 1,

y =3x² - 2x +1

D = b² - 4ac

D = ( -2 )² - ( 4 x 3 x 1 )

D = 4 - 12

D = -6

D < 0

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Answer:

68.8cm^2

Step-by-step explanation:

A trapezoid=h/2(b1+b2)

A trapezoid=6.4/2(12.9+8.6)

A trapezoid=3.2(21.5)

A trapezoid=68.8cm^2

Answer:

The probability that computers work more than 41 minutes is 0.15866 or 15.87%.

Step-by-step explanation:

We are given that a computer tallied the time to work for 200 days and found it reasonable to the normal curve. The mean is 35 minutes, and the standard deviation with six minutes.

Let X = the time taken by computer to work for 200 days.

So, X ~ Normal([tex]\mu=35, \sigma^{2} =6^{2}[/tex])

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean time = 35 minutes

           [tex]\sigma[/tex] = standard deviation = 6 minutes

Now, the probability that computers work more than 41 minutes is given by = P(X > 41 minutes)

      P(X > 41 minutes) = P( [tex]\frac{X-\mu}{\sigma }[/tex] > [tex]\frac{41-35}{6 }[/tex] ) = P(Z > 1) = 1 - P(Z [tex]\leq[/tex] 1)

                                                                = 1 - 0.84134 = 0.15866

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.84134.

Answer:

Option C.

Step-by-step explanation:

The given expression is

[tex]\left(\sqrt{2}cis \dfrac{9\pi}{20}\right)^5[/tex]

It can be rewritten as

[tex]\left(\sqrt{2}\cos \dfrac{9\pi}{20}+i\sin\dfrac{9\pi}{20}\right)^5[/tex]

According to De moivre's Theorem:

[tex][r(\cos\theta+i\sin \theta)]^n=r^n(\cos n\theta +i\sin n\theta)[/tex]

Using De moivre's Theorem, we get

[tex](\sqrt{2})^5\left(\cos \dfrac{9\pi\times 5}{20}+i\sin\dfrac{9\pi\times 5}{20}\right)[/tex]

[tex]=4\sqrt{2}\left(\cos \dfrac{9\pi}{4}+i\sin\dfrac{9\pi}{4}\right)[/tex]

[tex]=4\sqrt{2}\left(\cos (2\pi +\dfrac{\pi}{4})+i\sin (2\pi+\dfrac{\pi}{4})\right)[/tex]

[tex]=4\sqrt{2}\left(\cos \dfrac{\pi}{4}+i\sin \dfrac{\pi}{4}\right)[/tex]

[tex]=4\sqrt{2}\left(\dfrac{1}{\sqrt{2}}+i\dfrac{1}{\sqrt{2}}\right)[/tex]

[tex]=4+4i[/tex]

Therefore, the correct option is C.

Answer:

[tex]\frac{4}{6}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{8.5}{12.5}[/tex]

Step-by-step explanation:

The set of ratios must have numerators coming from the same triangle and denominators coming from the same triangle. The other set of ratios have some numerators coming from both triangles and/or denominators coming from both triangles.

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

On edg 2020

Answer:

If a person is picked at random from the entire group, it is  

unlikely

to be a lawyer, and it is.....

Unlikely was right but likely was wrong

Step-by-step explanation:

I honestly don't know the answer and that the person above me makes no sense.

he said "If a person is picked at random from the entire group, it is  

unlikely

to be a lawyer, and it is.....

Unlikely was right but likely was wrong

Answer:170

Step-by-step explanation:

The measure of angle LNP is 275 degrees.

The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.

In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.

The measure of angle  LNP is determined in the following steps given below.

[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]

Hence, the measure of angle LNP is 275 degrees.

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Answer:

The answer is option D.

I hope it's what you require.

Answer:

D) 7

Step-by-step explanation:

1  /   4      6        -3

               4        10      

       4      10       7

Step 1: Carry down the first number 4 as it is

Step 2:  Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10

Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7

And now 7 is the remainder

Answer:

Step-by-step explanation

The arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

The arithmetic mean is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.

According to the given question we have

A data set  6, 4, 1, 9, 3, 8, 3, 5, 10

The total numbers in the given data set is 9

Therefore, the arithmetic mean of the given data set is given by

Arithmetic mean = [tex]\frac{6 +4+1+9+3+8+3+5+10}{9}[/tex]

⇒ Arithmetic mean = [tex]\frac{49}{9}[/tex]

⇒ Arithmetic mean = 5.4

Hence, the arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

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Answer:

A.  5 : 3

Step-by-step explanation:

Number of blue cups : Number of red cups

10 : 6

Divide to the lowest terms

10 ÷ 2 : 6 ÷2

5 : 3

Answer:

The answer is A

Step-by-step explanation:

The ratio of blue cups to red cups is 10:6 you can figure this out by counting how many blue cups there are and how many red cups there are.

Now that you have your ratio of 10:6 which means for every 10 blue cups there will be 6 red cups. You can work with this and find equivalent ratios by multiplying or dividing. In this case you would have to divide in half to find the ratio 5:3

Hope this helps!

Answer:

30°

Step-by-step explanation:

Hey, srry for the inaccurate sketch

I hope you will understand the way I solved it

If not, don't hesitate to ask questions ;)

Answer: x = 11

Step-by-step explanation:

10x+84=194

10x = "10 times a number"

+84 = "increased by eighty four"

=194 = "equals 194"

10x+84=194

Subtract 84

10x = 110

Divide by 10

x = 11

Hope it helps <3

Answer:

The number is 11

Step-by-step explanation:

Represent the number by n.

Then:  10n + 84 = 194.

Subtracting 84 from both sides, we get:  10n = 110, and so:

n = 110/10 = 11

Answer:17/30

Step-by-step explanation:

You have 2/15 and 7/10. You have to find a common denominator. I used 30. Multiply 2/15 by 2/2 and 7/10 by 3/3 to get 4/30 and 21/30. Then solve this equation: 21/30-4/30. The answer is the answer to the problem.

Answer:

B,MJAB=115°

D,mCBA=55°

Step-by-step explanation:

Answer: -8 degrees

Step-by-step explanation: 12-4 is 8 so the difference is -8

Answer:

a. (4, -7)

Step-by-step explanation:

Point D is at (-4,7).

Rule for a 180° rotation clockwise around the origin:

[tex](x,y)\rightarrow(-x,-y)[/tex]

Apply the rule to point D:

[tex](-4,7)\rightarrow(4,-7)\\\\\left \{ {{-4*-1=4} \atop {7*-1=-7}} \right.[/tex]

Option A should be the correct answer.

Brainilest Appreciated.

Answer:

a. (4, -7)

Step-by-step explanation:

Answer:

y=(x-2)^2

Step-by-step explanation:

just simply change the sign.

Answer:

50.24

Step-by-step explanation:

The first step is to find the area of it if it was a whole circle

you get this by squaring the radius

8*8 or 8^2= 64

then, you have to multiply it by 3.14 which gives you

200.96.

Then divide it by 4 to get a quarter of the circle to get the final answer

50.24

Hope this helps, if it does, please give me brainliest, it will help a lot :)

Have a good day

Answer:

so u could write about its teeth

Step-by-step explanation:

and its legs or its scary presence or its long arms and it erupted from a haunted house

hope this helps : )

i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest

Answer:

4)12(n+4)

    =12n+48

Step-by-step explanation:

Answer:

4) 12(n + 4) = 12n + 48

Step-by-step explanation:

Answer:

point a is the maximum

Step-by-step explanation:I took the test

Answer:

Options?

Step-by-step explanation:

Answer:

3.7 meters

Step-by-step explanation:

Answer:

Ok so you have to find how much it goes up at a time. So the first one is 1,5. Then multiply both by 5 to get 5,25. That is your answer then. The graph will have 5 on the bottom and 25 on the side.

Step-by-step explanation:

Answer:

The awnser is 50:100 or simplified 1:2

Step-by-step explanation:

The ratio of ABDF is exactly half of ACDE since F is the midpoint of AE and B is the midpoint of AC

Answer:

4x(x-4)(x+1)

Step-by-step explanation:

Please see the picture.

Answer:

The answer is

Step-by-step explanation:

3√x + 7

x = 25

Substitute the value of x into the expression

That's

3(√25) + 7

√25 = 5

So we have

3(5) + 7

= 15 + 7

Hope this helps you

Answer:

22

Step-by-step explanation:

3 + 7 if x = 25.

3/25+7

3x5+7 multiply

15+7 calculate

solution =22

got it right on the test!