Is the quotient of 3 and 1/4 greater than or less than 3?

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Explanation:

The base of the cone is 24 m across. This is the diameter of the circle. Divide it in half to get 24/2 = 12 m as the radius.

We can form a right triangle inside the cone such that the horizontal piece is the radius 12 m and the vertical piece is the height 16 m. The hypotenuse of this right triangle is the slant height. This is all mentioned in the instructions of course.

We'll use the pythagorean theorem to find the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{ a^2 + b^2 }\\\\c = \sqrt{ 12^2 + 16^2 }\\\\c = \sqrt{ 144 + 256 }\\\\c = \sqrt{ 400 }\\\\c = 20 \text{ meters is the slant height}\\\\[/tex]

It is the distance from the circular base to the peak of the cone, when traveling along the outside of the cone. This is a straight line distance.

Answer:

4000

Step-by-step explanation:

V=4/3(3)(10)^3

V= 4/3 (3)(1000)

V=4/3 (3000)

V=4000

Answer:

Area of a parallelogram is a region covered by a parallelogram in a two-dimensional plane. In Geometry, a parallelogram is a two-dimensional figure with four sides. It is a special case of the quadrilateral, where opposite sides are equal and parallel. The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram.

Step-by-step explanation:

Area = b × h Square units

Answer:

i dunno'

Step-by-step explanatio i dont know how to explain diss this

Answer:

1800 m²

Step-by-step explanation:

The surface area of a prism is the sum of the areas of its faces.

⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB)

⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB) = 450 m²

⇒ 2(LH + BH + LB) = 450 m²

Finding the surface area if the dimensions are doubled:

⇒ 2[(2L × 2H) + (2B × 2H) + (2L × 2B)]

⇒ 2[(4LH) + (4BH) + (4LB)]

⇒ 2[4LH + 4BH + 4LB]

⇒ 2[4(LH + BH + LB)]

⇒ 2[2 × 2(LH + BH + LB)]

⇒ 2[2(450)]                                                           [2(LH + BH + LB) = 450 m²]

⇒ 2[900]

⇒ 1800 m² (Option C)

Answer:

Step-by-step explanation:

Let the length be x and width be y.

We have:

Set equation and solve

The length is:

The perimeter is:

Correct choice is D

Let they be l and b

And

So

From both equations

And.

b=20-8=12ft

Option D

Convert 124 7/8 to 999/8

In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)

Answer:

Step-by-step explanation:

*View the attached file*

Hope this helps!

Answer:12 i think

Step-by-step explanation:

Answer:

Answer is 6

Step-by-step explanation:

See it is equilateral so AB=AC=BC

Now we are given values of AB and AC, but they are equal so,

Hope it helps

BYE

Answer:

418122 seconds

Step-by-step explanation:

First divide 400,500 by 50. That is 8010.

Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR

6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days

Answer:

Step-by-step explanation:

Accordingto the scale factor, the model is 8 times smaller than actual figure.

Its height is:

So

Model:-

Answer:

xy=3_equation I

x+y=76/15 eq 2

Step-by-step explanation:

from eq

x=3/y

now put x=3/y in eq 2

3/y+y=76/15

(3+y^2) 15=76y

45+15y^2=76y

15y^2-76y+45=0

by using quardic equation

x=76+_root under 76^2-4×15×45/2×15

y= 5776+- 53.62/2×15

taking positive sign and taking negative sign

y=194.32

y=190.745

Answer:

[tex]\frac{16}{225}[/tex]

Step-by-step explanation:

When attempting probability problems we want to figure out the chances of something happening. This turns into something like:

[tex]\frac{\text{marble drawn}}{\text{total marbles}}[/tex]

In this case we have 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. That brings us to a total of 15 marble.

Since we want to first draw a red marble the chance of that happening would be:

[tex]\frac{8\text{(the marble drawn)}}{15\text{(total # of marbles)}}[/tex]
Now we replace the marble as stated in the problem so we then draw the next marble, which is green.

[tex]\frac{2\text{(the marble drawn)}}{15\text{(total number of marbles)}}[/tex]

All that's left is to multipy the values we got:

[tex]\frac{8}{15} *\frac{2}{15}=\frac{16}{225}[/tex]

That's our answer.

Answer:

2.4 pounds

Step-by-step explanation:

12/5=2.4

To get 5 equal parts of 12, you have to do 12 divided by 5.

Answer:

(x + 42)(x - 42)

Step-by-step explanation:

Keep this in mind :

In this case,

So, by factorizing,

★a²-b²=(a+b)(a-b)

So

a=x ,b=42

Done!

Answer:

w = 5

Step-by-step explanation:

6w/6 = 30/6

= 5

Answer:

.72x=414

Step-by-step explanation:

Answer:

it took the remaining two builders five days to finish

It takes 38 days to build the house for the remaining workers. Since it is said that the total working days for building a house with 8 workers is 20 and 6 workers left after 14 days and each worker is working at the same rate.

8 builders can finish a house in 20 days

Each builder works at the same rate

After 14 days 6 builders left.

When 6 builders left after 14 days, 2 builders have remained

Then, we can write

1 builder can finish the work that these 6 builders did in those 14 days is

6×14=84 days

Since it takes 20 days for 8 builders to finish a house, then for 1 builder it takes

1 builder = 20×8=160 days

Then the remaining left for 1 builder to finish the house is 160-84=76 days

Then the remaining 2 builders will build the house in 76/2 days

That is 38 days.

Therefore, the remaining builders build the house in 38 days at the same rate.

Refer here for such word problems:

https://brainly.com/question/17086949

#SPJ2

Answer:

add all the sides that you have and subtract it from 180

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have a cloth:

____________

|                        |

|                        |

|___________|

and you cut it in half.

There are three sides

Answer:

Step-by-step explanation:

The cut pieces will each have three sides:  two that are equal and one that is the hypotenuse.

If the original square had sides of length s, then the cut pieces would each have two of that length:  s and s; the third side would have length h = √(s² + s²), or h = s√2.

Answer: g, e

e. (-6,-5)

g. (-4,-4)

Step-by-step explanation:

    While we could plug in each value of data points to see if it solves correctly, a quicker way to solve this problem is to graph.

    The points that are a solution to the set are points in the area of overlap created by the two equations graphed. Points that are on a line in the overlap, but not over, are not a solution because the equations do not include "equal to."

   See attached for the graph.

The solution set of y < 1/2x - 1 and y > 2x + 3 are their true values

The solution set of the system of linear inequalities are (-6,-5) and (-4,-4)

The system of linear inequality is given as:

y < 1/2x - 1

y > 2x + 3

Start by plotting the graph of both inequalities

Because both inequalities do not have any form of equation i.e. ≤ and ≥, then only the points in the shaded area represents the solution set of the inequality.

The points in the shaded area are (-6,-5) and (-4,-4)

Other points are either outside the shaded area or on the line of the inequalities

Hence, the solution set of the system of linear inequalities are (-6,-5) and (-4,-4)

Read more about inequalities at:

https://brainly.com/question/18881247

Answers:

Mode = 6

Range = 7

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Explanation:

The mode is the most frequent value. Based on that, we simply go for the tallest stack of 'x's which in this case is 6.

Therefore, 6 is the mode. It shows up four times which is the most of any other value.

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The range is the difference of the min and max

range = max - min = 8 - 1 = 7

The surface area of the cylindrical tank on which the Michael is painting is 7065 ft².

Surface area of cylinder is the area of each faces by which it is enclosed. The surface area of cylinder can be calculated with the following formula;

[tex]A=2\pi rh+2\pi r^2[/tex]

Here, (h) is the height of the cylinder and (r) is the radius.

Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank so that he knows how much paint to purchase.

Put the values in the above formula,

[tex]A=2(3.14) (15)(60)+2(3.14)(15)^2\\A=7065\rm\; ft^2[/tex]

Thus, the surface area of the cylindrical tank on which the Michael is painting is 7065 ft².

Learn more about the surface area of cylinder here:

https://brainly.com/question/20771646

Answer:

241.5

Step-by-step explanation:

First add all your numbers togather

17 + 18 + 15 + 19

= 69

THEN..

Multiply by 7

= 69 × 7

= 483

After that divide it by 2..

483 ÷ 2

= 241.5

Answer:

n + 18

Step-by-step explanation:

n + 18

Answer:

8,874%

Step-by-step explanation:

Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"

Answer:

2.5

Step-by-step explanation:

40 divided by 16 is 2.5

Answer: 70 degrees

Step-by-step explanation: