The hight of a regular quadrilateral prism is h=13cm and its lateral area is 624 cm squared. Find the surface area of the prism

Answer:

1714

Step-by-step explanation:

hope this helps have  a great day

Answer:

1) Use translation to coincide the center of a circle with the center of the other circle.

2) We construct the respective loci for the circles.

3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.

Step-by-step explanation:

Geometrically speaking, a circle is formed after knowing its center and radius.

1) Use translation to coincide the center of a circle with the center of the other circle. In this case, we translate the center ([tex]C_{A} (x,y) = (6,7)[/tex]) of the circle A to the location of the center of the circle B ([tex]C_{B}(x,y) = (2,4)[/tex]):

[tex]C_{A'} (x,y) = (6,7) + [(2,4) - (6,7)][/tex]

[tex]C_{A'} (x,y) = (2,4)[/tex]

2) We construct the respective loci for the circles.

By Analytical Geometric, a circle is represented by the following locus:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]

Where:

[tex]x, y[/tex] - Coordinates of a point of the circunference.

[tex]h, k[/tex] - Coordinates of the center of the circle.

[tex]r[/tex] - Radius of the circle.

3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.

Then, the circles A' and B are represented by the following loci:

Circle A'

[tex](x-2)^{2} + (y-4)^{2} = 16[/tex]

Circle B

[tex](x-2)^{2} + (y-4)^{2} = 256[/tex]

Since both the [tex]f(x,y)[/tex] component of each circle is the same and radii are different but constant, then we conclude that circle A is similar to circle B.

Answer:

A unit rate is the rate of change in a relationship where the rate is per 1.

The rate of change is the ratio between the x and y (or input and output) values in a relationship.  Another term for the rate of change for proportional relationships is the constant of proportionality.

If the rate of change is yx, then so is the constant of proportionality.  To simplify things, we set  yx=k, where k represents the constant of proportionality.  

If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.

To find y in a direct variation equation, multiply x by the constant of proportionality, k.

For example: Given the relationship y=7x, the constant of proportionality k=7,  so if x=3,  then y=3×7 or 21.

Given the same relationship, if x=7,  then y=7×7, or 49.  

Step-by-step explanation:

Answer:

Yes it is. Y=2.5x

Step-by-step explanation:

So, lets start with bthe first values of the table and work our way down:

2x=5y

Lets just divide both sides by the 2:

x=5/2y

This means that for every 1 x, there should be 5/2y's.

Or, for every 1 x, there should be 2.5ys.

Lets check the next few to see if thats correct:

3x=7.5y

Divide both sides by 3:

x=7.5/3

This means for every one x, there are again, 2.5ys.

Lets check one more just to be sure:

4x=10y

Divide both sides by 4:

x=10/4

This means for everyone one x, y equals 2.5ys, yet again,

So we can conclude that the poprotional relationship between x and y is:

When x equals 1, y=2.5

Or

Y=2.5x

Hope this helps!

Answer:

2.5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

I don't know, but it makes the most sense. It can't be 1, that's too low. And it obviously not 22.5 or 30. So that means either 1.5 or 2, and 2 is the most centered. Therefore, I'm guessing 2.

Answer:

Volume = 684 in^3

Step-by-step explanation:

To start, the equation for Volume = L*W*H

So, lets begin with the cube on the top, all of its sides are 6 inches in length, so do:

6*6*6 to get the volume of just it

216

Next. lets get the rectangular prism.

6*6*13

468

Last, combine these.

684 in^3

Answer:

296.96 m

Step-by-step explanation:

The last name I am pretty sure of it.

Answer:

Zarathustra is the answer

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = f(x)

y = 6 * 3^x

Interchange x and y

x = 6 * 3^y

Divide by 6

x/6 = 3^y  

Take the log of both sides

log(x/6) = log(3)^y

Bring the y down

log(x/6) = y log(3)                   \

Divide by log(3)

log(x/6)/log(3) = y

Let x = 2

log(2/6) / log(3) = y

-(0.4771 )/ 0.4771 = y

y = - 1

Remark

The original graph is in green

The red graph is the inverse.

The point (2,-1) is marked so that you know it falls on the inverse.

Answer:

[tex]n=-2[/tex]

Step-by-step explanation:

[tex]-4(8+6n)=-2(n-6)\\ -32-24n=-2n+12\\-32-12=-2n+24n\\-44=22n\\n=-2[/tex]

Answer: 1 1/5

Step-by-step explanation: 3/5 is the radius so you would times the radius by two to get the diameter which is 1 1/5.

I think its 10, correct me if u find its wrong

Answer:

wave erosion

Step-by-step explanation:

Answer:

Wave Deposition

Step-by-step explanation:

Answer:

Step-by-step explanation:

10^5 = 100,000 x 4.1 = 410,000

Answer:

A = 37.5

Step-by-step explanation:

The formula for finding the are of a trapezoid is (a + b)/2(h)

a = base

b = base

h = height

A = (6.1 + 8.9) / 2(5)

A = 37.5

Answer:

The answer is 37.5.

Step-by-step explanation:

The area for a triangle is A=1/2 bh.

In this case, we have 2 triangles, so we just make it one rectangle.

Each triangle is (1.4*5)/2. (1.4*5)*2/2=7.

You do 2/2 because the half and the two triangles cancel out.

6.1*5=30.5.

30.5+7=37.5

Answer:

EF is the chord of K

hope it helped

Answer:

EF is the chord of K

Step-by-step explanation:

plz mark me as brainliest

Answer:

84

Step-by-step explanation:

they use 3 plates a day

there are 4 of them

so in one day, they use 12 plates [3x4]

they camp for 7 days, so 12x7.

84!! :D

Answer:

Step-by-step explanation:

The equation of this circle is (x - 2)^2 + (x + 3)^2 = 36.

The center of the circle is at (h, k):  (2, -3), and the radius, r, is 6.

Answer:

Step-by-step explanation:

Isolate by the x from one side of the equation.

First, you have to subtract by 3x from both sides.

[tex]\sf{4x-3x=3x+5-3x}[/tex]

Solve.

x=5

[tex]\large\boxed{x=5}[/tex]

Therefore, the solution is x=5.

[tex] \huge \rm{answer:} \: \boxed{ \rm{ \purple{x = 5}}}[/tex]

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[tex] \huge \red{\boxed{ \sf{armed \: account}}}[/tex]

[tex] \huge \rm{4x = 3x + 5} \\ \huge\rm{4x - 3x = 5} \\ \huge \rm{1x = 5} \\ \huge \boxed{\rm{x = 5}}[/tex]

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[tex] \huge\boxed{\boxed{ \rm{Hope \: this \: helps}}}[/tex]

Answer:

x = 24/5 - 2y/5

Step-by-step explanation:

Answer:

87 %

Step-by-step explanation:

I edited it this should be the correct answer

Answer:

1/8

Step-by-step explanation:

probability for cube(even) = 3/6

probability for color = 1/4

(1/4)*(3/6)=3/24=1/8

Answer: 1/8

Step-by-step explanation:

the probability for getting an even number on the cube is 3/6 or 1/2

the probability of getting red is 1/4

1/2 times 1/4 is 1/8

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

[tex]Length=2x+7[/tex]

Area of a rectangle is:

[tex]A=length\times width[/tex]

[tex]A=(2x+7)\times x[/tex]

[tex]A=2x^2+7x[/tex]

The area of a rectangle is 99 square yd.

[tex]2x^2+7x=99[/tex]

[tex]2x^2+7x-99=0[/tex]

Splitting the middle term, we get

[tex]2x^2+18x-11x-99=0[/tex]

[tex]2x(x+9)-11(x-9)=0[/tex]

[tex](x+9)(2x-11)=0[/tex]

Using zero product property, we get

[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]

[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]

[tex]x=-9[/tex] and [tex]x=5.5[/tex]

Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.

Now, the length of the rectangle is:

[tex]Length=2x+7[/tex]

[tex]Length=2(5.5)+7[/tex]

[tex]Length=11+7[/tex]

[tex]Length=18[/tex]

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.

Answer:

3x2 – 5x + 2 = ( 3x-2)( x-1)

Step-by-step explanation:

I hope this helps you!

Have a nice dayyy <3

Answer:

[tex](3x-2)(x-1)[/tex]

Step-by-step explanation:

Answer:

It should be somewhere near 3.16

Step-by-step explanation:

The square root of 10 simplified is around 3.16

Answer:

Estimated 3.16

Step-by-step explanation:

I'm taking the test right now. Mark brainliest if it helped.

Answer: just do 3x136

step-by-step explanation:

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The number of sodas sold is 102 and the number of Hot dogs sold is 34.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, At a hockey game, a vendor sold a combined total of 136 sodas and hot dogs.

Let "x" be the number of hot dogs sold

Since The number of sodas sold was three times the number of hot dogs sold.

thus,

Number of Sodas sold = 3 * x

Since total items sold = 136

x + 3x = 136

4x = 136

x = 34

Thus, the number of Sodas sold = 34 * 3

the Number of Sodas sold = 102

therefore, the number of sodas sold is 102 and the number of Hot dogs sold is 34.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

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Answer:

please provide the choices of this question