Find the volume of cone pictured below. Use 3.14 for π
.

Round your answer to the nearest hundredth.

Given:

Consider the dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft.

To find:

The volume of rectangular prism.

Solution:

The volume of a cuboid or rectangular prism is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth and h is height of the prism.

The dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft. So, the volume of the prism is:

[tex]V=3.4\times 0.8\times 0.6[/tex]

[tex]V=1.632[/tex]

Therefore, the volume of the rectangular prism is 1.632 cubic feet ​.

The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

Let's say that number is x

Then,

2/3 of x = (2/3)x

Son,

1 more then  (2/3)x =  (2/3)x + 1

It is the same as x - 3

So,

(2/3)x + 1 = x - 3

x = 12

Hence "The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12".

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9514 1404 393

Answer:

  (b) Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.

Step-by-step explanation:

The hypotenuse is always opposite the right angle.

The side considered "opposite" is opposite the angle of interest, angle A in this case.

Answer:

Other person is correct

Step-by-step explanation:

Answer:

A) 3 ways

B) sorry don't know.

Step-by-step explanation:

2 P and 2 N

3P and 1 N

4P

So 3 ways.

Answer:

Height A = [tex]12\frac{3}{4}[/tex] inches

Step-by-step explanation:

Height A = Sum of widths of all sections of the cabinet + thickness of the wood

Height A = [tex]1\frac{1}{4}+\frac{1}{4}+4\frac{1}{2}+\frac{1}{4}+4\frac{1}{2}+2[/tex]

               = [tex](1+4+4+2)+(\frac{1}{4}+\frac{1}{4}+\frac{1}{2}+\frac{1}{4}+\frac{1}{2})[/tex]

               = [tex]11+(\frac{1+1+2+1+2}{4} )[/tex]

               = [tex]11+\frac{7}{4}[/tex]

               = [tex]11+1\frac{3}{4}[/tex]

               = [tex]11+1+\frac{3}{4}[/tex]

               = [tex]12\frac{3}{4}[/tex] inches

Answer:

28/16=14/8 true

3/5=9/15 true

4/32=10/78 false

3/4=12/16 true

Step-by-step explanation:

DID IT ON BRIDGE

Answer:

y=x-2

Step-by-step explanation:

4-0=4 = (change in y)

2--2=4 = (change in x)

change in y/change in x=4/4=1=x

gradient = x

y=x+c

Subtitute any coordinate

2=4+c

c=-2

so

y=x-2

Answer:

y=x-2

Step-by-step explanation:

Slope Intercept Form

y=x-2

Find Slope using equation below

Chose points I chose 2 as y2 and -2 as y2

4 is x2 and 0 as x1

Slope is 1

now choose a point and plug it in for x and y and plug slope in Equation

I chose (4,2)

2=4+b

subtract 4 by both sides

-2=b

Slope Form

So... y=x-2 is the answer

Answer:

diiiiifiiiciiillllllñ

Answer:

Step-by-step explanation:

a - yes

b - yes

c - yes

d - yes

e - yes

Answer:

The answer is 104 degrees.

Step-by-step explanation:

M is equivalent to N, which means x is also 104 degrees.

Answer:

1960 dancers

Step-by-step explanation:

your are on "ace" level and need help here ?

a pair is 2 people

4 pairs is therefore 4×2 people = 8

245 teams of 4 pairs or 8 people each means

245×8 = 1960 people

Answer:

Cannot be factored

Step-by-step explanation:

Given

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2}[/tex]

Required

Factorize

Take LCM

[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2} = \frac{x^4+9x^2+81}{9x^2}[/tex]

The expression cannot be factored

Answer:

31/5 as a mixed number: 6 and 1/5

-73/8 as a mixed number:-9 and 1/8

Step-by-step explanation:

Rewriting each mixed number as a sum of two signed numbers 3 1/5  and -7 3/8 are 3 and 1/5  and -8 and 5/8 respectively

The mixed number to rewrite as a sum of two signed numbers are as follows:

Rewriting as a sum of the two signed numbers can be represented as follows;

3 1/5 = 16 / 5

-7 3/ 8 = - 59 / 8

Therefore,

3 1/5  will be 3 and 1/5

-7 3/ 8 will be -8 and 5/8

Note

3 + 1/5 = 3 1/5

-8 + 5/8 = -7 3/8

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Answer:

2.2236

Step-by-step explanation:

From the R output given, we can obtain the linear regression model in the form ;

y = bx + c

Intercept, c = 9.4764

Slope, b = 0.0315

x = number of manufacturing enterprise employing 20 or more workers

y = annual mean concentration of Sulphur dioxide

Hence, The regression equation model as obtained from the R output is :

y = 0.0315x + 9.4764

For the city of Duarte;

x = 200

Actual annual mean concentration of Sulphur dioxide is 18 micrograms per cubic meter.

Residual = Actual value - predicted value

Prediction using the regression equation to obtain the predicted annual mean concentration ;

The predicted y value, when x = 200

y = 0.0315(200) + 9.4764

y = 15.7764

The residual, if actual annual concentration = 18

Y residual = 18 - 15.7764 = 2.2236

Answer:

15a + 5

Step-by-step explanation:

Step-by-step explanation:

myballsnahajahahahahahahahhahajaajjaajjaaaaaja

Answer: 135

exponents are :2,4,8

add on to each: 3,5,9

3*5*9 = 135

Step-by-step explanation:

Given:

x-intercepts of the hyperbola are ±4.

The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].

Center of the hyperbola is at origin.

To find:

The equation of the hyperbola.

Solution:

The general equation of a hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]            ...(i)

Where, (h,k) is the center of the hyperbola, ±a are x-intercepts, [tex](\pm c,0)[/tex] are foci.

Center of the hyperbola is at origin. So, h=0 and k=0.

x-intercepts of the hyperbola are ±4. So,

[tex]\pm a=\pm 4[/tex]

[tex]a=4[/tex]

The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].

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

[tex]c=2\sqrt{5}[/tex]

We know that,

[tex]a^2+b^2=c^2[/tex]

[tex](4)^2+b^2=(2\sqrt{5})^2[/tex]

[tex]16+b^2=20[/tex]

[tex]b^2=20-16[/tex]

[tex]b^2=4[/tex]

Taking square root on both sides, we get

[tex]b=\sqrt{4}[/tex]                    [b>0]

[tex]b=2[/tex]

Substituting [tex]h=0,k=0,a=4,b=2[/tex] in (i), we get

[tex]\dfrac{(x-0)^2}{4^2}-\dfrac{(y-0)^2}{2^2}=1[/tex]

[tex]\dfrac{x^2}{4^2}-\dfrac{y^2}{2^2}=1[/tex]

Therefore, the correct option is (d).

Answer:

1205.76 m^3

Step-by-step explanation:

given:

radius = 8m

height = 18 m

volume of a cone = πr2h/3

=3.14 * (8)^2 * 18/3

=3.14 *64 *18/3

=3617.28/3

=1205.76 m^3

Answer: 0.3

Step-by-step explanation:

Answer:

14w

Step-by-step explanation:

Hope this helps

Answer:

c

Step-by-step explanation:

none of the answers are correct. The area of the figure is 51.53 in^2 and none of the answers are 51.53 in^2, therefore it is c.

Answer:

D. 62.13 in²

Step-by-step explanation:

the area = (8×6)+(½×3.14×3²)

= 48+14.13

= 62.13

Answer:

She must buy more than 5 lbs

Step-by-step explanation:

First write the inequality

cost per pound * number of pounds >  total cost

8 * lbs > 40

Divide each side by 8

8 lbs /8 > 40/8

lbs > 5

She must buy more than 5 lbs

Answer:

If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.

Add the last two digits to four times the rest. The result must be divisible by 16.

The last four digits must be divisible by 16.

Answer:

If the thousands digit is even, the number formed by the last three digits must be divisible by 16. If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.

Example: 3408: 408 + 8 = 416.

Step-by-step explanation:

Answer:

Im not 100% sure but i think it would be $150.00

Step-by-step explanation:

Because if 2 mangos are $60

whats half of 60$

30

so 1 mango = $30

the person wants 5 mango so

multiply

$30*5

which would give you

$150.00

Answer:

$150

Step-by-step explanation:

If 2 mangoes cost $60, then 1 mango would be 60/2=30.

5 mangos would be 30×5=$150

Answer:

y = 90

Step-by-step explanation:

You can use proportions to answer this question.

[tex]\frac{30}{-3} =\frac{y}{-9}[/tex]

Cross multiply 30 to -9; -3 to y

[tex]-270=-3y[/tex]

Isolate y by dividing -3 on both sides

[tex]y=90[/tex]

Answer:

90

Step-by-step explanation:

30/-3 = ?/-9

Cross Multiply-

30 × -9 = -270

-3 × ? = -3

-270 ÷ -3 = 90

y = 90

Answer:

90 degrees but mom not too sure

Answer:

the median is 13 and the mean is 13

Answer:

Step-by-step explanation:

The element decay percentage rate of change 2.22% per minute.

Radioisotope, radionuclide, or radioactive nuclide, any of several species of the same chemical element with different masses whose nuclei are unstable and dissipate excess energy by spontaneously emitting radiation in the form of alpha, beta, and gamma rays.

Here, mass decreases by 73% every hour.

Weight of element X is 680 grams.

According to question,

f(t) = 680 (1 - 73%)ⁿ

f(t) = 680 (1 - 0.73)ⁿ

f(t) = 680 X 0.27ⁿ

f(t) = 680 X 0.9778ⁿ

f(t) = 680 X (1 - 0.02322)ⁿ

Thus, the element decay percentage rate of change 2.22% per minute.

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