A cone has a volume of 847.8 cubic millimeters and a radius of 9 millimeters. What is its
height?
User pie= 3.14 and round your answer to the nearest hundredth.
hz
millimeters

The probability of getting a shape with at least four sides, then tails will be 1/12.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The spinner below is spun once, then a coin is tossed.

Then the probability of getting a shape with at least four sides, then tails will be

For spinner

Favorable event = 5

Total event = 6

For a coin

Favorable event = 1

Total event = 2

P = 5/6 x 1/2

P = 5/12

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The quadratic equation with the given characteristics is:

f(x) = (x + 3)*(x - 7).

We know that the vertex must be (2, -25) and it passes through (7, 0).

For a quadratic equation:

y = a*x^2 + b*x +c

The x-value of the vertex is:

x = -b/2a

Then we have:

2 = -b/2a

We also have:

-25 = a*4 + b*2 + c

And because the function passes through (7, 0) we know that 7 is one of the roots, then:

0 = a*49 + b*7 + c

Then we have 3 equations to work with:

2 = -b/2a

-25 = a*4 + b*2 + c

0 = a*49 + b*7 + c

If we subtract the third and second equations we get:

25 = a*45 + b*5

Now, with the first equation we can rewrite:

a  = -b/4

Replacing that in the other equation:

25 = a*45 + b*5

25 = (-b/4)*45 + b*5 = b*(-25/4)

25*(-4/25) =b = -4

Now we know the value of b.

2 = -(-4)/2a

a = 1

Now we need to find the value of c, we have that:

0 = 1*49 + -4*7 + c

0 = 49 - 28 + c

0 = 21 + c

Then c = -21

The equation is:

[tex]y = x^2 - 4x - 21[/tex]

It can be factorized to:

f(x) = (x + 3)*(x - 7).

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Answer:

mode and median

Step-by-step explanation:

both are 80

mode - value that appears most often

median- list values lowest to highest find the value in the middle position

The equation that expresses the solution to the quadratic equation x² - 10x + 13 = 0 is [tex]x =5 \pm 2\sqrt{3}[/tex]

The equation is given as:

x² - 10x + 13 = 0

The solution to a quadratic equation is represented by:

[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

So, we have:

[tex]x =\frac{10 \pm \sqrt{(-10)^2 -4 * 1 * 13}}{2 * 1}[/tex]

Evaluate the radicand

[tex]x =\frac{10 \pm \sqrt{48}}{2}[/tex]

Take the square root of 48

[tex]x =\frac{10 \pm 4\sqrt{3}}{2}[/tex]

Divide

[tex]x =5 \pm 2\sqrt{3}[/tex]

Hence, the equation that expresses the solution to the quadratic equation x² - 10x + 13 = 0 is [tex]x =5 \pm 2\sqrt{3}[/tex]

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Answer:

The original value of the car.

Step-by-step explanation:

The 21,500 would be the a value of the function, as it is before the parentheses. The a value of an exponential function is a constant, and it is the y-intercept of that function, meaning in a real-world application, it would be where the values start at. In this case, the 21,500 is where the price of the car starts at, i.e., the original value of the car.

Answer:

the answer is c

Step-by-step explanation:

I already did that

Answer:

C that's the answer

no explanation I'm jus saying

The height of the tree is 50 feet.

We have given,

cap A tree standing vertically on level ground casts a. 72feet.

We solve this by using trigonometry, the height of the tree to the nearest foot is 50 feets

[tex]tan\theta = opposite / Adjacent[/tex]

Opposite = height, h

Adjacent, = 140 feets

Angle, θ = 19.8°

[tex]tan(19.8) = h / 140[/tex]

Cross multiply

[tex]h = 140 \times tan(19.8)[/tex]

h = 50.403 feets

Height, h = 50 feets (nearest foot)

Therefore, the height of the tree is 50 feets

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The gross wages of Xavier Brown when worked 43.5 hours in the week will be Gross pay=$730.625

The total amount earned by any worker with his basic pay like incentives allowances etc.

It is given that Xavier Brown works on a 40-hour week basis and-a-half paid for overtime work.

Last week she worked 43.5

The distribution of the work is given as:-

Monday      Tuesday        Wed      Thursday       Friday    Total

9 Hours     9 Hours          8.5         8.5                   8.5      43.5

So we have the total working hours = 43.5 hours

Weekly working hours are =40 hours

So for 40 hours she will be paid:-

Pay =40x17.50

Now extra hours or overtime is =43.5-40=3.5 hours

So the extra income will be half of the regular:-

Pay=3.5x({1}÷{2}) x17.5=$30.625

So total gross pay will be = $700+$30.625=$730.625

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Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

p=20+25c because it i did this on paper so i got what it equals to

Answer:

23

Step-by-step explanation:

3(-2)^2-2(-2)+7

=23

Answer: Its 28.7

Step-by-step explanation:

Answer:use camera math!

Step-by-step explanation:it helped me!it only works

On math though so you cant use it on any

Other subject hope this helped sorry

If it didn’t!

Answer:

6.28

Step-by-step explanation:

Find the diameter by multiplying the radius by 2, then multiply the diameter by Pi, which in your case is 3.14

R times 2= diameter

D time Pi= area

Area = 6.28

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Answer:

B.  The equation of the linear function is y = 3x + 2

D.  The rate of change of the linear function is 3.

Step-by-step explanation:

First find the slope by choosing two ordered pairs and using the slope formula:

[tex]\textsf{let}\:(x_1,y_1)=(2,8)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(3,11)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{11-8}{3-2}=3[/tex]

Now use the Point-slope form of linear equation with the found slope and one of the points to create the equation of the linear function:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-8=3(x-2)[/tex]

[tex]\implies y=3x + 2[/tex]

The rate of change of a linear function is its slope.

Therefore,

B.  The equation of the linear function is y = 3x + 2

D.  The rate of change of the linear function is 3.

Answer:

0.9/3=0.3 First one

Step-by-step explanation:

0.9/3=0.3

The boxes are being divided into 3 equal parts and each section has 0.30 squares

Answer:

The answer is A: 0.9÷3=0.3

Step-by-step explanation:

The boxes are equally divided into thirds

Answer:

For the Third Question The answer would be D

Step-by-step explanation:

When u multiply 5×3=15

so 18^15/8 would be the correct answer

Answer:

4

2

one-half

Step-by-step explanation:

Hope this helps!! :)

Using the interactive ruler, we can determine that it is 4 Units from the dilation's center to the image and pre-image.

This virtual instrument, which appears on the computer screen and is also known as an Interactive Teaching Program (ITP) ruler, is used to measure a shape's lines and sides.

Given, we need to find the distance in units between points C and A

Using the interactive ruler, we can determine that the separation between points C and A is 2 units.

Therefore, it takes 1.5 units to get from point C to point A'.

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Answer:

1 cubic foot.

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know,

[tex] \sf \qquad density = \dfrac{mass}{volume} [/tex]

So, we can infer that :

[tex] \sf \qquad mass= {density} \cdot{volume} [/tex]

Now, let's calculate the mass of gases in each case :

[tex]\qquad \sf  \dashrightarrow \:mass = 0.09 \times (15) {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 0.09 \times 3375 {}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 303.75 \: \: mg {}^{} [/tex]

or

[tex]\qquad \sf  \dashrightarrow \:mass =0. 30375 \: \: g {}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: (14 \sdot 12 \sdot10)[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: 1680[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: 294 \: \: mg[/tex]

or

[tex]\qquad \sf  \dashrightarrow \:mass = 0.294 \: \: g[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 1.251\: \cdot \: \dfrac{4}{3} \cdot3.14 \cdot(4) {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 0.417\: \cdot \: 803.84[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 335.201 \: \: mg[/tex]

or

[tex]\qquad \sf  \dashrightarrow \:mass = 0.335 \: \: g[/tex]

So, the arrangement of masses from least to greatest is :

Answer:

Helium<Hydrogen<Nitrogen

Step-by-step explanation:

y = -4x - 1

the gradient of the parallel line will be the same as the given line so you just need to change the y intercept

1) Diagonals of a rectangle bisect each other, so AW=13.

2) Since diagonals of a rectangle are congruent, AC=BD. Then, since diagonals of a rectangle bisect each other, DW=13.

3) Diagonals of a rectangle are congruent, so BD=26.

4) Opposite sides of a rectangle are congruent, so AD=10.

5) Using the Pythagorean theorem, BA=24.

The equation 3x²-5x-5 will have two solutions.

If the value of x in the given quadratic equation is a real number then the roots of the equation are real.

The discriminant of the equation will be calculated as:-

    =  3x  ²-  5x   -   5

D  =  b²   -   4ac

D  =  ( 5 )²  -   4  x  3  x  -5

D  =  25    -    ( -60 )

D  =   85

Since the discriminant is positive then the equation will have real roots and the degree of the equation is 2 so it will have two solutions.

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Answer:

The correct option is C. if you express the problem in terms of ㏑ three and seven.

Answer:

1) 125

2) 113

Step-by-step explanation:

Hope it helps :)

Answer:

x = 70°

Step-by-step explanation:

Since in triangle ABC (Check the image)

=> AB = AC

Therefore, ∠B = ∠C

From Angle Sum property of a triangle,

=> ∠A + ∠B + ∠C = 180°

=> x + 55 + 55 = 180

=> x +110 = 180

=> x = 70°

Hope you've understood the solution.

Answer:

The length of AC is 12.08cm

Step-by-step explanation:

hope it's help

;)

Answer:

see photo for detailed analysis

Answer:

1.2378×104

Step-by-step explanation:

The number 10 is called the base because it is this number that is raised to the power n. Although a base number may have values other than 10, the base number in scientific notation is always 10.

Answer:

That will be 1.

Step-by-step explanation: