Two prisms are similar and their ratio of similarity is 4:9.

Find the area of a base of the larger prism if the area of a base of the smaller prism is 47 square units.

Round to the nearest hundredth.
Pls show work!<3

The nature of solutions to equations can be finite, infinite or no solution. The solution to the system of equation 3x + 6 = -1-3 + 4x is 10

The nature of solutions to equations can be finite, infinite or no solution.

Given the linear solution as shown:

3x + 6 = -1-3 + 4x

Collect the like terms

3x - 4x = -1 -3 -6

-x = -10

Multiply both sides by -1

-(-x) = -(-10)
x = 10

Hence the solution to the system of equation 3x + 6 = -1-3 + 4x is 10

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Answer:

The alternate exterior angles with angle 11 are angle 13 and angle 5.

Step-by-step explanation:

Two angles are called Alternate exterior angles if

1. They are on the exterior side of parallel lines and

2.  Lie on the opposite sides of the transversal line.

It is given that

[tex]r||s[/tex] and [tex]t||u[/tex]

From the figure it is noticed that the angle 13 and angle 5 are on the exterior side of parallel lines and they lie on the opposite sides of the transversal line.

Therefore alternate exterior angles with angle 11 are angle 13 and angle 5.

Answer:

296

Step-by-step explanation:

328+57843=6112

56 + 586=642

6432+86=6518

BUT ADD THEM ALL UP YOU GET 296

Answer:There are 23 quarters and 37 dimes in the collection                   Step-by-step explanation: i got it right:)

Answer:

k=108

Step-by-step explanation:

Your equation is k divided by three equals thirty six, since youre dividing in youre equation you would just multiply to undo the divison. So, 36 time 3 equals 108, and if youre not sure about youre answer you can plug in 108 to your equation, so 108/3=36 this is true so you know your answer is true. hope this helped:)

Answer:

283.5

Step-by-step explanation:

Answer:

81x^4

Step-by-step explanation:

With exponents, whatever is in the parentheses is multiplied by itself however many times the exponent says.

In this case, you would be solving 3 x 3 x 3 x 3 and (x)^4.

3^4 = 81 with x^4 gives you:

81x^4

Hope this helps you :)

Answer: 16

Step-by-step explanation:

Answer:

volume

Step-by-step explanation:

because cubed represents volume, and squared represents area

Hope this helps with your deadline :)

If you need further explanation, feel free to ask!

- profparis

Answer:

C) 3

Step-by-step explanation:

Because she paid 6.50, you subtract that by 5 and it will get you 1.50 and then you divide that by .50 and it gets you your answer.

If the line is shifted 10 units right side and 5 units downward side. Then the equation of the line is y + 8 = 0.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Line segment FG begins at (-1, 5) and ends at (-1, -3). The segment is translated right 10 units and down 5 units to form line segment F'G'. Then the coordinate of F' and G' will be

F' = (-1 + 10, 5 - 5) = (9, 0)

G' = (-1 + 10, -3 - 5) = (9, -8)

Then the equation of the line passing through F' and G' will be

[tex]\rm y + 8 = \dfrac{-8-0}{9-9}(x - 9)\\\\y + 8 = 0[/tex]

More about the coordinate geometry link is given below.

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Answer:

120 cars

Step-by-step explanation:

The given function is

[tex]C(x)=0.5x^2-120x+21,481[/tex]

and its parent function would be

[tex]f(x)=ax^2+bx+c[/tex]

So,

[tex]a=0.5[/tex]

[tex]b = -120[/tex]

and

[tex]c = 21,481[/tex]

The minimum cost would be found using:

[tex]x = -\frac{b}{2a}[/tex]

So just input a and b into the function:

[tex]x= -\frac{-120}{2(0.5)}[/tex]

[tex]x=-\frac{-120}{1}[/tex]

[tex]x = 120[/tex]

Therefore there must be 120 cars made to minimize the cost.

Answer:

26

Step-by-step explanation:

a^2+b^2=c^2

24^2+10^2=c^2

576+100=c^2

676=c^2

squrt 676=26

c=26

The area of Eunice's kite is [tex]2\sqrt{58}[/tex].

A kite is a tethered heavier-than-air or lighter-than-air craft with wing surfaces that react against the air to create lift and drag forces.

Eunice is flying a kite with vertices at points A(0, 0), B(0, 4), C(7, 7), and D(4, 0).

If the diagonals in a quadrilateral are perpendicular to each other then the area is one-half of the product of the diagonals.

All Kites and rhombi fall in this category.

By the distance formula;

[tex]\rm AB =\sqrt{(0-0)^2+(4-0)^2} =\sqrt{0+16} =\sqrt{16} =4\\\\BC =\sqrt{(7-0)^2+(7-4)^2} =\sqrt{49+9} =\sqrt{58} \\\\CD =\sqrt{(4-7)^2+(0-7)^2} =\sqrt{49+9} =\sqrt{58}\\\\AD =\sqrt{(0-0)^2+(4-0)^2} =\sqrt{0+16} =\sqrt{16} =4\\[/tex]

The area of Eunice's kite is;

[tex]\rm Area = \dfrac{1}{2} \times AB \times BC\\\\Area =\dfrac{1}{2} \times 4 \times \sqrt{58} \\\\Area =2\sqrt{58}[/tex]

Hence, the area of Eunice's kite is [tex]2\sqrt{58}[/tex].

Learn more about kites here;

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Answer:

C. $6

Step-by-step explanation:

$ 10 / 5 box  * 3 box = $6

Answer:

D $6

Step-by-step explanation:

hope this helps pls mark as brainliest

Answer:

5

Step-by-step explanation:

You are looking for x so what you are really looking for is what times 4 =20 and that is 5.

5x4=20

Answer:

Divide each term in 4x = 20 by 4 and simplify.

X=5

Answer: 300

Step-by-step explanation:

Answer:

9 ribbons

Step-by-step explanation:

7 ft  /  (7/9 ft/ribbon) =  63/7 ribbons = 9 ribbons

Answer:

15

Step-by-step explanation:

Answer: 15 cherry pies

Step-by-step explanation:  110/ $7 = 15.7

15 x $7 = 105 < 110

A cubic function is one in the form f(x) = ax3 + bx2 + cx + d.

The figure which shows how a shape can be rotated about an axis to form the given object is as described in Choice C.

Figures and shapes can be transformed into objects by means of rotation, translation and other transformation operations.

On this note, when A vertical line labeled as axis is drawn. A pentagon is drawn that touches on the left side of the line. An arrow rotated around the line in clockwise direction is drawn.

The resulting shape is the object.

Read more on transformations;

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Answer:

1/9

Step-by-step explanation:

that means 1 out of 9.

Answer:

A i think

Step-by-step explanation:

if it was 100 it would be 30 and 100x2 and 30x2 is 200:60

Answer:

She saves 24 cents by buying 24 oranges at store B

Step-by-step explanation:

Price per orange A = 6.48 / 12 oranges = .54 per orange

    .54 * 24 oranges = 12.96   for store A

Price per orange B  = 2.65 / 5 = .53 per orange

  .53 * 24 oranges = 12.72   for store B

12.96  - 12.72 = .24  dollars    (24 cents)

Answer:

false

Step-by-step explanation:

Answer:

Multiplying polynomials involves applying the rules of exponents and the distributive property to simplify the product. This multiplication can also be illustrated with an area model, and can be useful in modeling real world situations.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Make sure that you combine like terms!

Answer:

If it's zero it's neither of them because zero is not a number to multiply with because it will always be zero when multiplying with zero

Answer:

The volume of this figure = 1800 m ³

Step-by-step explanation:

The volume of prism =( base × height × length ) / 2

=> (15 × 10 × 24 ) /2

=> (3600)/2

=> 1800 m³