#1. Use substitution to solve the system of equations
y = 6x
2x + 3y = -20
Solution: (

The volume of silo is 4840.22 cubic units.

A hexagonal prism is a 3-D figure that has two hexagonal bases that are parallel to each other. A hexagonal prism is a prism with hexagonal base and top. This polyhedron has 8 faces, 18 edges, and 12 vertices. Out of the 8 faces, 6 are rectangles, and 2 are hexagons.

For the given situation,

The silo is in a form a hexagonal prism.

The base edge of the silo, a = 9 ft

The height of the silo, h = 23 ft

The formula of volume of the hexagonal prism is

[tex]V=\frac{3\sqrt{3} }{2}a^{2}h[/tex]

Substitute the above values,

⇒ [tex]V=\frac{3\sqrt{3} }{2}(9^{2})(23)[/tex]

⇒ [tex]V=4840.215[/tex] ≈ [tex]4840.22[/tex]

Hence we can conclude that the volume of silo is 4840.22 cubic units.

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Answer:

Mr Nelson will sell 115 more bottles of water than popcorn. First, you find the rate of popcorn and water being sold. That will be 147 bags divided by 3 and 216 bottles divided by 3. You get 49 bags and 72 bottles. You subtract those two numbers, 72-49=23. 23 is the number more waters sold than the popcorn. Finally, you multiply 23 by 5 days and you get 115. So it's 115 more waters sold than popcorn.

Step-by-step explanation:

Answer:

21×5 = 105.

14×5=70.

105-70 =35

Answer:

83 is the volume according to my best knowledge and remembrance of Geometry. I hope these calculations help!

Step-by-step explanation:

Since a right triangle is established upon the indication of the right angle marking, and the 50 degree marking is apparent around the one of the legs, the resulting angle of the right triangle unidentified is 40 degrees. Now, the formula is 1/3 × (the area of the base) × (the height), where finding the base area dictates that we apply Area = (3√3 s^2)/ 2, where s = side length, (3√3 (4)^2)/ 2 = 24√3, Substitution Property of Equality: 1/3 * 24√3 * x; find x, "the radius of a hexagon is equal to the length of one side" (mathblog), use the cosine ratio because cosine = adjacent over hypotenuse, cos(50) = 4 (according to the length of side equal radius of hexagon)/x = 6, 1/3 * 24√3 * 6 = 48√3 = 83 is the volume.

Answer:

3.45 m

Step-by-step explanation:

as we know that

1cm=100m

Divide by 100

345/100=3.45 m

Answer: 100

Step-by-step explanation:

Answer:

x = 132°

Step-by-step explanation:

∠AED and ∠CEB are both vertical angles. Vertical angles will always be equal to each other, so ∠AED = ∠CEB.

Since they're equal, if ∠AED = 132°, then ∠CEB must also equal 132°.

(∠CEB is the x value you're asking about by the way).

If you have any questions, or anything was confusing, comment them and I'll help you out.

Answer:

17 is the answer

Step-by-step explanation:

Since 17 × 17 is 289, the square root of 289 is 17.

so therefor, the answer is 17.

Answer:

"A relative frequency distribution is a table that shows the relative frequency for all categories as shown below. Notice that the sum of the relative frequencies is always equal to 1. The percentage of a category is found by multiplying the relative frequency of that category by 100."

Credits To: statistics-made-easy.com › what-is-relative-frequency

Answer:

( 2 . 3 7 1 0 8 ) 3

Step-by-step explanation:

Answer:

where is the picture

Step-by-step explanation:

I need the triangle to be able to solve this for you

Answer:

its 126

Step-by-step explanation:

Answer:

Step-by-step explanation:

add all amount of birds he saw together to get 140, take 300 and divide it by 140 to get 2.14 now take the amount of blue jays times 2.14 to get 126

Answer:

I'll do your Home work Just post the questions

Answer:

I will help you too if I know the answer

Step-by-step explanation:

what do you mean bruv?

N O R M A L people put the answer up top

the formula is a^2+b^2=c^2

A and B are the sides doesn't matter which

C is always across from the right angle

so fill x in accordingly

4^2+3^2=x^2

16+9=

25= x^2

square root both 25 and x^2

25 becomes 5

x^2 becomes x

x=5

and just apply this to the other problems

Answer:

12x^3+x^2-9x+2

Step-by-step explanation:

(4x-1)(3x-2)(x+1)

(12x^2-8x-3x+2)(x+1)

(12x^2+(-8x-3x)+2)(x+1)

(12x^2-11x+2)(x+1)

12x^2(x+1)-11x(x+1)+2(x+1)

12x^3+12x^2-11x(x+1)+2(x+1)

12x^3+12x^2-(11x^2+11x)+2(x+1)

12x^3+12x^2-11x^2-11x+2x+2

12x^3+(12x^2-11x^2)+(-11x+2x)+2

12x^3+x^2-9x+2

Answer:

9/16 of original cube area

Step-by-step explanation:

surface area = 6 * side²

side length after 0.75 dilated: 3/4 of original side length

surface area after dilated : 6 * (3/4)² / 6 * 1² = 9/16

The cost of 2 pounds of cashews will be;

⇒ $9.98

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

At the grocery store,

Henry bought c pounds of cashews for $4.99 per pound.

Now,

Since, Henry bought c pounds of cashews for $4.99 per pound.

Hence, The cost of 1 pound of cashews = $4.99

So, The cost of 2 pounds of cashews = 2 × $4.99

                                                          = $9.98

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Answer:

1. R = 8 ohms 2. V = 32 volts

Step-by-step explanation:

Voltage, V = 16 V

Current, I = 2 A

We need to find the resistance of the circuit. Using Ohm's law,

V = IR

So,

[tex]R=\dfrac{V}{I}\\\\R=\dfrac{16}{2}\\\\R=8\ \Omega[/tex]

2. Current, I = 8 A

Resistance, R = 4 ohms

We need to find the voltage of the circuit. Using Ohm's law again,

V = 8 × 4

V = 32 volts

Hence, this is the required solution.

Answer:

10 feet

Step-by-step explanation:

Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.

The length of the ladder represents the hypotenuse side hence using pythagoras theorem

F^2 = 8^2 + 6^2

where F is the length of the ladder in feet

F^2 = 64 + 36

= 100

find the root of both sides

F = 10 feet

The ladder is 10 feet long

Answer:

b

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

-30=5(x+1)

6-1(x+1)

x=-1-6

=-7

The answer is [tex]x=-7[/tex]

Answer:

Step-by-step explanation:

radius r=16/2=8 in

l=17 in

curved surface=πrl=π×8×17=136 π in²

area of circular base=πr²=π×8²=64 πin²

total surface area=136 π+64 π=200 π in²

Answer:

5-(-7)

Step-by-step explanation:

It will be positive 12

Answer:

12

Step-by-step explanation:

5 - (-7)

5 + 7

12

Answer:

i think its 2,4, and 5

Step-by-step explanation:

Answer:

6 1/4 x 3/4

25/4 x 3/4

Step-by-step explanation:

Marc freezes only a proportion of the pounds of granola, the expression for this proportion can be determined by multiplying the total pounds of granola by the fraction he wants to freeze

6 1/4 x 3/4

25/4 x 3/4

Answer:

none of the answer above

the answer is X < -1/4

Step-by-step explanation:

7x-3x<1-2

4x<-1

x<-1/4

Answer:

x = -5

Step-by-step explanation:

Angles "50" and "x+55" are alternate interior angles which means that they are the same.

So 50 = x + 55

That leaves you with x = -5

Area of a triangle = (1/2)*base*height

For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.

5.

First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse and a and b are the sides of the triangle.

Substituting the given values and rounding to nearest tenth:

[tex]a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0[/tex]

Now that you have the height, you can find the area of the entire triangle.

A = (1/2)*base*height

A = (1/2)*8.8*9.0 = 39.6

6.

Same procedure.

[tex]a^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2[/tex]

A = (1/2)*base*height

A = (1/2)*7.6*9.2 = 35.0