the volumes of two similar solids are 729m^3 and 125m^3. the surface area of the larger solid is 324m^2. what is the surface area of the smaller solid? A. 56m^2 B. 100m^2 C. 500m^2 D. 200m^2

Answer:

15 cm

Step-by-step explanation:

Circumference of circle= 2πr, where r us the radius of the circle.

Given that the circumference of circle is 60πcm,

60π= 2πr

Divide by 2 on both sides,

15π= πr

Divide by π on both sides,

15= r

Thus, radius of circle= 15cm.

Answer:  the answer that I got was 24

Step-by-step explanation:

I hope it’s right and it helps!

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex](-1)\times (-(-2)) \times (-(-(-3))) \times (-(-(-(-4)))[/tex]

Negative times negative is positive.

Negative times negative times negative is negative.

Negative times negative times negative times negative is positive.

[tex](-1)\times (+2) \times (-3) \times (+4)[/tex]

Multiply.

[tex]-1 \times 2 \times -3 \times 4[/tex]

[tex]= 24[/tex]

Answer:

h(t) = h₀ + v₀·t + 1/2 g t² with

h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²

4.9 seconds

Step-by-step explanation:

16.087 (t - 2.48648)^2 - 94.5842 = 0

solving as a quadratic equation yields t ≈ 4.9 seconds

Answer:

Last Choice: Angles F and C are congruent

Step-by-step explanation:

Angles F and C are congruent because they are vertical angles.

All other pairs of angles in the choices are not necessarily congruent.

Step-by-step explanation:

|-x|<1 --> -1<-x<1 --> -1<x<1

so the graph is the striped part

Answer:

150 paperclips

Step-by-step explanation:

set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips

cross multiply so you get 16x = 2400

solve for x by dividing 2400 by 16

you should get x = 150

Answer:

7:10:34

Step-by-step explanation:

1. Ratio outline:

       Length 1:Length 2:Perimeter

2. Length 1 = 35 feet

3. Length 2 = 50 feet

4. Perimeter = Length of all sides

     - Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170

5. Substitute the values into the ratio outline:

        35:50:170

6. Convert into simplest form: Divide by greatest common factor (5)

         7:10:34

Answer:  36 three-point field goals

Step-by-step explanation:

To solve this problem, set up a system of equations. Let's call the number of  one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws,  so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex]  and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.

The number of two-point and three-point field goals they made is 27 and 36, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of two points basket be represented by x and the number of three points basket be represented by y.

Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,

22 + x + y = 85

Solving the equation for x,

x = 85 - 22 - y

x = 63 - y

Further given that the total point made is 184. Therefore, the total number of score can be written as,

22 + 2x + 3y = 184

22 + 2(63 - y) + 3y = 184

22 + 126 - 2y + 3y = 184

y = 36

Substitute the value of y in the first equation,

22 + x + y = 85

x = 85 - 22 - 36

x = 27

Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.

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Answer:

I think it's 12

Step-by-step explanation:

i just multiplied 60 by 20%

Answer:

Option B.

Step-by-step explanation:

The given relation is

[tex]x=2y^2+6[/tex]

At y=-2,

[tex]x=2(-2)^2+6[/tex]

[tex]x=2(4)+6[/tex]

[tex]x=8+6[/tex]

[tex]x=14[/tex]

Similarly,

At y=-1,

[tex]x=2(-1)^2+6=8[/tex]

At y=0,

[tex]x=2(0)^2+6=6[/tex]

At y=1,

[tex]x=2(1)^2+6=8[/tex]

At y=2,

[tex]x=2(2)^2+6=14[/tex]

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.

Answer:

need thiss

Step-by-step explanation:

Answer:

The number of people standing in the original line is 22 people

Step-by-step explanation:

The information given are;

The number of baguettes that was shared by the people on the line = 85

The number of baguettes each person received = 1 each

Therefore;

The number of people that were finally on the line = 85

Let the number of people in the original line = X

Then each space between two people in X was filled by 1 new person of the first set of people who joined the line

Therefore;

The number of the first set of people who joined the line = The number of spaces between two count of people in X

Which gives;

The number of people who joined the line = X - 1

The new total number of people on the line = X + X - 1 = 2·X - 1

As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line

Therefore, the number of people in the second set = Number of people waiting - 1

Which gives;

The number of people in the second set = 2·X - 1 - 1 = 2·X - 2

The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3

The 85 baguettes is then able to go round (each) among the total number of people on the line

Therefore;

The total number of people on the line = The number of baguettes sheared

4·X - 3 = 85

4·X = 85 + 3 = 88

X = 88/4 = 22

Therefore;

The number of people standing in the original line = 22.

Answer:

B. (8,1)

Step-by-step explanation:

x+y=9

x-y=7

x=7+y

Therefore in the equation x+y=9 , x=7+y

(7+y)+y=9

7+2y=9

2y=9-7

2y=2

y=2/2=1

therefore x=7+y

=7+1=8

The solution of the system of equation are,

⇒ (8, 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

System of equations are,

x + y = 9  .. (i)

x - y = 7  .. (ii)

Now, We can simplify as;

From (i);

x = 9 - y

Put in (ii);

x - y = 7

9 - y - y = 7

9 - 2y = 7

9 - 7 = 2y

2y = 2

y = 1

From (i);

x = 9 - y

x = 9 - 1

x = 8

Thus, The solution of the system of equation are,

⇒ (8, 1)

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Answer:

shown above

move active check

Answer:

L'(-7, -7), M'(-9, 9), and N'(5, 5)

Step-by-step explanation:

Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)

so L'(-7, -7), M'(-9, 9), and N'(5, 5)

The question was incomplete. Please check below the full content.

Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?            

a) L(-7, -7) M(-9. -9) N(5, 5)

b) L(-7. -7) M(-9. 9) N(5, 5)

c) L(-7, -7) M(-9, 9) N(5, -5)

d) L (7, -7) M(9, 9) N(-5, 5)      

The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are

L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.

Rotation of a point :

Let the rotations of L, M, and N are L', M', and N' respectively.

Hence  L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices

 L, M, and N of ΔLMN about the origin by 90°.

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Answer:

20.56 units.

Step-by-step explanation:

Perimeter of the shaded region is the sum of all straight sides and all 4 arcs.

Perimeter of 4 straight sides [tex]=4\times 2=8\text{ units}[/tex]

Perimeter of a arc [tex]=\dfrac{1}{4}\times 2\pi r[/tex]

Perimeter of 4 arcs [tex]=4\times \dfrac{1}{4}(2\pi r)=2\pi r[/tex]

Here, r is the radius. So,

[tex]r=\dfrac{6-2}{2}=\dfrac{4}{2}=2[/tex]

Perimeter of 4 arcs [tex]=2(3.14)(2)=12.56[/tex]

Perimeter of the shaded region = Perimeter of all straight sides + Perimeter of all 4 arcs

                             [tex]=8+12.56[/tex]

                             [tex]=20.56\text{ units}[/tex]

Therefore, the perimeter of the shaded region is 20.56 units.

Answer:

x=5,6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.

Next, draw a solid horizontal line at y = 5.  

Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7.  The result will be a trapezoid-shaped area.  All points in this area are solutions to this system of inequalities.

Answer:

Here is the full proof:

AC bisects ∠BCD      Given

∠CAB ≅ ∠CAD          Definition of angle bisector

DC ⊥ AD                    Given

∠ADC = 90°               Definition of perpendicular lines

BC ⊥ AB                    Given

∠ABC = 90°               Definition of perpendicular lines

∠ADC ≅ ∠ABC          Right angles are congruent

AC = AC                     Reflexive property

ΔCAB ≅ ΔCAD          SAA

BC = DC                     CPCTC          

Hey there! :)

Answer:

False.

Step-by-step explanation:

In a point, the coordinates are in the format:

(x, y).

In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:

Move right 5, down 3.

Answer:

False

Step-by-step explanation:

To plot the point (5, -3) you would move right 5, then down 3.

Answer:

B

Step-by-step explanation:

Interior angles of a triangle = 180°

3x°+3x+10°+4x-30°=180°

10x°-20°=180°

10x°=180°+20°

10x°= 200°

10x°/10=200°/10

x°=20°

Hence, the angle is [tex]x=20[/tex] degree.

What is the angle?

An angle can be defined as the figure formed by two rays meeting at a common end point.

Here given that,

As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.

[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]

Hence, the angle is [tex]x=20[/tex] degree.

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B) 3/2

The radius of a circle is half its diameter.

Thus, the radius of the orange circle is 6, and the blue circle is 4

Thus the ratio is 4/6, which can be simplified to 3/2

Hope it helps <3 (Also, just answered this question for someone else!!)

Answer:

B. 3/2

Step-by-step explanation:

EDG

Answer:

The rule for the translation can be written as T3, –5(x, y)

Triangle ABC has been translated 3 units to the right and 5 units down.

Step-by-step explanation: I think this is correct

True statements are

The rule for the translation can be written as T3, –5(x, y).

Triangle ABC has been translated 3 units to the right and 5 units down.

Given :

The graph is attached below

Given options are

The rule for the translation can be written as T–5, 3(x, y).

The rule for the translation can be written as T3, –5(x, y).

The rule for the translation can be written as

(x, y) → (x + 3, y – 3).

The rule for the translation can be written as

(x, y) → (x – 3, y – 3).

Triangle ABC has been translated 3 units to the right and 5 units down.

Explanation :

In the triangle ABC, A is at (-1,3)

In A'B'C', A' is at (2,-2)

From these points we can see that

[tex]-1+3=2\\3-5=-2[/tex]

So , 3 is added with x value and -5 is added with y value

Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.

Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]

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Answer:

45 square units

Step-by-step explanation:

In the above question, we are given the following values

The ratio of the lengths of the corresponding sides of two regular octagons is 8 to 3.

This means the length of the larger octagon = 8

The length of the smaller octagon = 3

Using scale factor denoted as k and because we are dealing with area of the octagon

k = 3²/8²

The area of the larger octagon is 320 ft².

The area of the smaller octagon s represented as y and is calculated as

k = y/Area of larger octagon

3²/8² = y/320

Cross multiply

8² × y = 3² × 320

y = 3² × 320/8²

y = 45 square units

Area of smaller octagon = 45 square units.

Answer:

  90°

Step-by-step explanation:

The sum of the arcs around the circle is ...

  2x +4x +4x +2x = 360°

  x = 360°/12 = 30°

The numbered angle is the average of the measures of the intercepted arcs, so is ...

  (4x +2x)/2 = 3x = 3(30°) = 90°

The numbered angle is 90°.

Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

[tex]\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =[/tex]

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =[/tex]

Add the fractions:

[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}[/tex]

Therefore, the fractions sum up to 29/28.

Answer:

1/4 + 2/7 + 1/2

Find a number that 4,7, and 2 have in common

List the multiples o 4,7, and 2

4,8,12,15,20,24,28,32,36,40

7,14,21,28,35,42,49,56,63,70

2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40

4,7,and 2 all have 28 so 28 is the common denominator

1/4 = 1/4 x 7/7 = 7/28

you can multiply because 7/7 = 1 so you are just multiplying by 1

2/7 x 4/4 = 8/28

1/2 x 14/14= 14/28

7/28 + 8/28 + 14/28 = 29/28 or 1 1/28

Hope this helps

Step-by-step explanation:

Answer:

Equation of the line; y=x+3

Step-by-step explanation:

Graph the line that passes through the points (5,8) and (3,6) and determine the equation of the line.

Equation of a line: y=mx +b

Let's find the slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

8-6/ 5-3= 2/2 = 1

y=x+b

Substitute the points in.

y= 8

x = 5

8 = 5+b

b= 3

The y-intercept is 3.

y=x+3

Points on the line: (-2,1) (-1,2) (0,3) (1,4) (2,5)

Hey there! :)

Answer:

A) (1, 6)

Step-by-step explanation:

Solve by setting both equations equal to each other. Begin by rearranging each equation to equal y:

3x + y = 9

y = -3x + 9

--------------

y - 2x = 4

y = 2x + 4

---------------

-3x + 9 = 2x + 4

Add 3x to both sides:

-3x + 3x + 9 = 2x + 3x + 4

9 = 5x + 4

Subtract 4 from both sides:

9 - 4 = 5x + 4 - 4

5 = 5x

Divide both sides by 5:

5/5 = 5x/5

x = 1. Substitute 1 into an equation to solve for y:

3(1) + y = 9

3 + y = 9

y = 9 - 3

y = 6.

Therefore, the coordinates of the solution are:

A) (1, 6)

Answer:

[tex]\boxed{OptionA}[/tex]

Step-by-step explanation:

3x+y = 9

y-2x = 4

Subtracting both equations

=> 3x+y-(y-2x) = 9-4

=> 3x+y-y+2x = 5

=> 3x+2x = 5

=> 5x = 5

Dividing both sides by 5

=> x = 1

Now, Putting x = 1 in the first equation

=> 3(1)+y = 9

=> 3+y = 9

=> y = 9-3

=> y = 6

Ordered pair = (x,y) = (1,6)

Answer:

A. 2614 m^2 to the nearest square meter.

Step-by-step explanation:

Volume of the sphere

= 4/3 pi r^3 = 4000 pi

4/3 r^3 = 4000

r^3 = 4000 * 3/4 = 3000

r = ∛(3000)

The surface area

=4 pi r^2

= 4 * pi *  (∛(3000)^2

= 4 * pi * 208.008

= 2613.91 m^2.