Find the volume of a right circular cone that has a height of 12.4 m and a base with a
diameter of 5.1 m. Round your answer to the nearest tenth of a cubic meter.

Answer:

If a=0.6 and b=0.75, then a·b=9/20 and a/b=4/5

Step-by-step explanation:

The value of a•b =0.045 and a/b = 8

A number expressed as a quotient, in which a numerator is divided by a denominator

given: a=0.6, b= 0.075

Now, a*b= 0.6*0.075

               = 0.045

and, a/b

= 0.6/0.075

=8

Hence, a*b= 0.045 and a/b =8

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Answer:

8x - 32

Step-by-step explanation:

Answer:

78m

Step-by-step explanation:

We can use the formula of area of rectangle which is the product of length and breadth.

=> A = l * b

=> 4368m² = 56m * l

=> l = 4368m²/56m

=> l = 78m .

X+2y=4

+-x-4y=-14

——————

-2y=-10, y=5, x=4-10=-6

Answer:

x = -6

y = 5

Step-by-step explanation:

Add the equations

1x + 2y = 4

-1x - 4y = -14

————————

    -2y = -10

Divide both sides by -2

y = 5

Substitute for y = 5 into either equation

using  1x + 2y = 4

1x + 2(5) = 4

1x + 10 = 4

Subtract 10 from both sides

1x = -6

x = -6

Solution

x = -6

y = 5

It it was a whole rectangle: 12 x 9 = 108 square yards

Subtract the cut out area: 6 x (9-3) = 6 x 6 = 36 square yards

Total area = 108 - 36 = 72 square yards

Answer:

4) 1400 [tex]in^3[/tex]

5) 304[tex]\Pi[/tex] or 954.56[tex]yd^3[/tex]

6) 315 [tex]ft^2[/tex]

Step-by-step explanation:

[tex]4)[/tex]

[tex]V = \frac{lwh}{3} = \frac{20*20*10.5}{3} = \frac{4200}{3} = 1400[/tex]

[tex]5)[/tex]

[tex]A = \Pi(\frac{D}{2})^2 = \Pi(\frac{8}{2})^2 = \Pi*4^2 = 16\Pi[/tex]

[tex]V = A * h = 16\Pi * 19 = 304\Pi = 304 * 3.14 = 954.56[/tex]

[tex]6)[/tex]

[tex]h^2 = 8^2 + 8^2 => h^2 = 64 + 64 = 128 => h =\sqrt{128}[/tex]

[tex]A_1 = 2(\frac{8*\sqrt{128}}{2}) = 8*\sqrt{128} = 32 = 90.5[/tex]

[tex]A_2 = 2(14 * 8) = 2*112 = 224[/tex]

[tex]A = A_1 + A_2 = 91 + 224 = 315[/tex]

Answer:

2sqrt(5)

Step-by-step explanation:

Using Fourmla of distance between two points

Answer:

420.9

Step-by-step explanation:

420.86827 ≈ 420.9 because we need to round to one decimal place.

Since 6 is greater than 5, we round 8 up to make it 9

420.9

If my answer is incorrect, pls correct me!

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Answer:

The value of expression 7m - 6 is 60

Step-by-step explanation:

Given expression;

7m - 6

The value of m = 8

Find:

The value of expression 7m - 6

Computation:

in given expression 7m - 6 , 7 and 6 are constant and m is a variable

Given that value of variable m is 8.

So, by putting value of variable m in the given expression.

7m - 6

7(8) - 6

56 - 6

60

The value of expression 7m - 6 is 60

Answer:

The answer would be A. :)

Answer:

294 in^3

Step-by-step explanation:

Sugar it can hold can be determined by calculating the volume of the prism

volume of a prism = length x width x height

14 x 6 x 3.5 = 294 in^3

Answer:

let

Step-by-step explanation:

let the third proportion be x

Since 5,9,4,x

5.x=9.4

5x=36

x=36/5

x=7.2

answer

Answer:

0.3

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

The complete question is attached herewith.

Also the options for the same are as follows -

What is the meaning of the slope of the trend line shown on the scatterplot?  

A A plant grows about 3 inches for every 2 hours of sunlight it receives.  

B A plant grows about 2 inches for every 3 hours of sunlight it receives.  

C A plant grows about 3 inches for every 1 hour of sunlight it receives.  

D A plant grows about 1 inch for every 3 hours of sunlight it receives.

Solution

If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.

At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.

Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.

Hence, option D is correct

Answer:

Euler's Identity

Euler's Identity is written simply as: e^(iπ) + 1 = 0, it comprises the five most important mathematical constants, and it is an equation that has been compared to a Shakespearean sonnet.

Step-by-step explanation:

Answer:

Calculus

Step-by-step explanation:

The fundamental theorem of calculus forms the backbone of the mathematical method known as calculus and links its two main ideas, the concept of the integral and the concept of the derivative.

Note:-

Solved as the all of above is one question

Solution:-

2 ft above

Now

Angle be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]

[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]

[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]

[tex]\\ \rm\Rrightarrow X=1.432°[/tex]

Answer:

14 ÷ 10=1.4

Step-by-step explanation:

Answer:

1: D

2 (but actually 3) B

Step-by-step explanation:

Answer: x=-10

Step-by-step explanation:

4(x+5)=3(x-2)-2(x+2)

4x+20=3x-6-2x-4

Next combine like terms: 4x-3x+2x=-20-6-4

                                           3x=-30

                                             x=- 10

y-axis is the vertical axis on the Cartesian coordinate plane. ... A y-axis is the line on a graph that is drawn from bottom to top. This axis is parallel to which coordinates are measured. The numbers placed on the y-axis are called y-coordinates

Answer:

On the Cartesian coordinate plane, the y-axis is the

vertical axis. A y-axis is a line drawn from bottom to top ona graph. 

This axis runs parallel to the axis along which coordinatesare measured. The numbers on the y-axis are referred to as y-coordinates.

Step-by-step explanation:

-

Answer: C

Step-by-step explanation:

100ft + 100ft = 200

140ft + 140ft = 280

200ft + 280ft = 480ft

Answer:

A , B , C

Step-by-step explanation:

1) find the slope of the given line

slope = (-a/b) = (-8/4) = -2

two parallel lines have the same slope

A : correct

B : (-a/b) = -16/8 = -2 (correct)

C : correct

D : wrong (2 is different from -2)

Answer:

C is correct both have 7 as y intercept

Answer:

Situation 1 has a greater slope I believe

It might be C also.

Correct me if i'm wrong.

Answer:

y<-3/2x+1

Step-by-step explanation:

Answer:

$32.13

Step-by-step explanation:

IXL

The total cost will be;

⇒ $32.05

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Now,

Since, Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Hence, The sale price = 40% of $50.60

                                  = 40/100 × $50.60

                                  = $20.24

Thus, The price chest of drawers become = $50.40 - $20.24

                                                                 = $30.16

Since, The sales tax = 6.25%

Hence, The sales price = 6.25% of $30.16

                                    = 6.25/100 x 30.16

                                    = $1.89

Thus, The total cost = $30.16 + $1.89

                              = $32.05

Therefore, The total cost will be;

⇒ $32.05

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Answer:

a)0.879

Step-by-step explanation:

divide 87.9 by 100