Three solid shapes A, B and C are similar.
The surface area of shape A is 4 cm^2
The surface area of shape B is 25 cm^2
The ratio of the volume of shape B to the volume of shape C is 27 : 64
Work out the ratio of the height of shape A to the height of shape C.
Give you answer in its simplest form.

Answer:

d

Step-by-step explanation:

To eliminate the fractions in the equation multiply all term on both sides by the lowest common multiple of 2 and 3, that is 6

3x + 18 = 4x + 6 ← equation with no fractions

Subtract 4x from both sides

- x + 18 = 6 ( subtract 18 from both sides )

- x = - 12 ( multiply both sides by - 1 )

x = 12 → d

[tex]\boxed{\bold{x=12}}[/tex]

[tex]\bold{\frac{1}{2}x+3-3=\frac{2}{3}x+1-3}[/tex]

[tex]\bold{\frac{1}{2}x=\frac{2}{3}x-2}[/tex]

[tex]\bold{\frac{1}{2}x-\frac{2}{3}x=\frac{2}{3}x-2-\frac{2}{3}x}[/tex]

[tex]\bold{-\frac{1}{6}x=-2}[/tex]

[tex]\bold{\left(-\frac{1}{6}x\right)\left(-6\right)=\left(-2\right)\left(-6\right)}[/tex]

[tex]\bold{x=12}[/tex]

I hope this we help you

The value of x is 3.555556 and the graph is attached in image

Answer:12+6

Step-by-step explanation:

Solve for u in (7 + u)^2 - (5 + u)^2 = 6v

u = 3(v - 4)/2

Substitute u = 3(v - 4)/2 into (2 - v)^2 - (6 - v)^2 = 4u

8v - 32 = 6(v - 4)

Solve for v in 8v - 32 = 6(v - 4)

v = 4

Substitute v = 4 into u = 3(v - 4)/2

u = 0

Therefore,

u = 0

v = 4

The answer would be 11

Answer:

GH

Step-by-step explanation:

If you look at y = -2, you can see that AB is one unit below it. Now if you flip this line segment across y = -2, all you have to do is count on unit up and find segment GH is in the correct position.

Answer:

The line segment GH is the answer.

Step-by-step explanation:

In the given figure we can see that point B of line AB lies one unit below the given y=-2. Now, when this line across y = -2, the point B will lie one unit above -2 that is H with the other end G.                                                

So, GH is the correct answer.

Answer:

y = 6√3 and x = 6

Step-by-step explanation:

this is a 30-60-90 triangle.  The side opposite the 30° angle corresponds to the side of length 1  in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.

To find y, write and solve an equation of ratios, as follows:

adj side           adj side      (adjacent to the 30° angle)

    y                       √3

 hypo               hypo    then (cross multiplying):  2y = 12√3, and

    12                     2       y = 6√3

If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):

[12]² = [6√3]² - x²  ↔ 144 = 36(3) - x²   ↔  36 = x².  So x = 6 here.

Answer:

x = 6

y ≈ 10. 40

Step-by-step explanation:

Using the SOHCAHTOA principle we can solve for x and y since the angle is known and it is a right angle triangle.

hypotenuse = 12

adjacent = x

opposite = y

cos 60° = adjacent/hypotenus

cos 60° = x/12

cross multiply

x = 12 cos 60°

x = 12 × 0.5

x = 6

Finding y

sin 60° = opposite/hypotenuse

sin 60° = y/12

cross multiply

y = 12 sin 60°

y  = 12 × 0.8660254038

y =  10.392304845

y ≈ 10. 40

Answer:

Part 1) [tex]1\frac{5}{6}\ ft[/tex]

Part 2) [tex]10\frac{2}{3}\ bags[/tex]

Step-by-step explanation:

Part 1)

step 1

Convert mixed number to an improper fraction

[tex]5\frac{1}{2}\ ft=\frac{5*2+1}{2}=\frac{11}{2}\ ft[/tex]

step 2

Divided the improper fraction by 3

[tex]\frac{(11/2)}{3}=\frac{11}{6}\ ft[/tex]

step 3

Convert to mixed number

[tex]\frac{11}{6}=\frac{6}{6}+\frac{5}{6}=1\frac{5}{6}\ ft[/tex]

Part 2)

step 1

Convert mixed number to an improper fractions

[tex]4\frac{1}{6}\ cups\ popcorn=\frac{4*6+1}{6}=\frac{25}{6}\ cups\ popcorn[/tex]

[tex]3\frac{5}{6}\ cups\ pretzels=\frac{3*6+5}{6}=\frac{23}{6}\ cups\ pretzels[/tex]

step 2

Adds the two quantities

[tex]\frac{25}{6}+\frac{23}{6}=\frac{48}{6}=8\ cups[/tex]

step 3

Divide the total cups by 3/4 to find the number of bags

so

[tex]\frac{8}{(3/4)}=\frac{32}{3}\ bags[/tex]

step 4

Convert to mixed number

[tex]\frac{32}{3}\ bags=\frac{30}{3}+\frac{2}{3}=10+\frac{2}{3}=10\frac{2}{3}\ bags[/tex]

Answer:

Heyo. The answer is 60.48

Step-by-step explanation:

This is pretty easy, all you have to do is multiply the length, height, and width. Remember this. LxHxW. Thats is the formula. You do 4.2 cm, multiplied by 3.2 cm, then multiply that by 4.5 cm. Hope this helps! :)

Answer:

2+2=4

Step-by-step explanation:

If you have 2 apples and add 2 more apples you have 4.

LOL I had to do an apple example

Answer:

[tex]\large\boxed{y=-\dfrac{1}{3}x+1}[/tex]

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\to(0,\ b)[/tex]

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\=======================\\\\\text{We must find the slope of the given line.}\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the coordinates of the given points from the graph (0, 1) and (-3, 2)}\\\\m_1=\dfrac{2-1}{-3-0}=\dfrac{1}{-3}=-\dfrac{1}{3}[/tex]

[tex]\text{We have an equation:}\\\\y=-\dfrac{1}{3}x+b\\\\\text{From the coordinates of the point (0, 1) we have the y-intercept:}\ b=1.\\\\\text{Therefore we have the equation:}\\\\y=-\dfrac{1}{3}x+1[/tex]

V=πr2h

V=3.14(9)2(2)

V=3.14(81)(2)

V=254.34(2)

V=508.68

y=5x is your answer :)

The equation of the line passing through the points (1, 5) and (2, 10) is y = 5x.

Step 1: Calculate the slope (m) using the given points (1, 5) and (2, 10).

The slope (m) is given by the difference in y-coordinates divided by the difference in x-coordinates:

m = (10 - 5) / (2 - 1) = 5 / 1 = 5

Step 2: Select one of the points to use in the point-slope form. Let's choose (1, 5) as (x₁, y₁).

Step 3: Substitute the values into the point-slope form equation:

y - 5 = 5(x - 1)

Step 4: Distribute and simplify the equation:

y - 5 = 5x - 5

Step 5: Isolate 'y' on one side of the equation:

y = 5x - 5 + 5

y = 5x

To know more about equation here

https://brainly.com/question/21835898

#SPJ2

Answer:

the third one down

Step-by-step explanation:

Answer:

[tex]\frac{8\sqrt{x} }{y}[/tex]

I hope that helped

Answer:

2 2/3 >x

Step-by-step explanation:

6>x+3 1/3

Subtract 3 1/3 from each side

6-3 1/3>x+3 1/3-3 1/3

Replace 6 with 5 3/3

5 3/3 - 3 1/3 > x

2 2/3 >x

Answer:

are there any answer choices to chose from. if so pls lmk the options. if not lmk and ill be happy to help

Step-by-step explanation:

An irrational number is not ending and non repeating

Square root of 16=4

Square root of 100=10

Square root of 36=6

These are all rational

The square root of 15=3.872983......

The answer is square root of 15

Answer:

B. [tex]\sqrt{15}[/tex]

Step-by-step explanation:

We have been given four numbers. We are asked to find the irrational number from our given number.

A. [tex]\sqrt{16}[/tex]

[tex]\sqrt{16}=4[/tex]

Since we can write 4 as a fraction, therefore, [tex]\sqrt{16}[/tex] is a rational number.

B. [tex]\sqrt{15}[/tex]

[tex]\sqrt{15}=3.8729833462[/tex]

Since our given number has non-terminating non repeating decimal, therefore, [tex]\sqrt{16}[/tex] is an irrational number.

C. [tex]\sqrt{36}[/tex]

[tex]\sqrt{36}=6[/tex]

Since we can write 6 as a fraction, therefore, [tex]\sqrt{36}[/tex] is a rational number.

D. [tex]\sqrt{100}[/tex]

[tex]\sqrt{100}=10[/tex]

Since we can write 10 as a fraction, therefore, [tex]\sqrt{100}[/tex] is a rational number.

The graph that represents the line (y = 12x) is option C) and this can be determined by using the point-slope form of the line.

Given :

Bike traveling at a constant rate of 12 miles per hour.

The following steps can be used to determine the graph that represents a bike traveling at a constant rate of 12 miles per hour:

Step 1 - All the graphs in the option pass through the point (0,0). So, (0,0) is the point through which a line is pass through.

Step 2 - Another point is (1,12) through which line passes because it is given that bike traveling at a constant rate of 12 miles per hour.

Step 3 - The equation of the line that passes through the points (0,0) and (1,12) is given by:

[tex]\dfrac{y-0}{x-0}=\dfrac{12-0}{1-0}[/tex]

y = 12x

So, the graph that represents the line (y = 12x) is option C).

For more information, refer to the link given below:

https://brainly.com/question/2263981

19x - 6x + 2

Two terms have an X in them, so you can combine them :

19x -6x = 13x

You now have 13x +2, which can be rewritten as 2 + 13x

The 3rd answer is correct.

Hey there!

The correct choice is C. 2 + 13x

Like the answer says, all you have to do is combine the x’s and rearrange: 13x +2 can be rearranged as 2 + 13x

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Answer:

50.27 square inches

Step-by-step explanation:

If you look at the logo for the Super Snacks Company, you'll see it's basically a cylinder that has been cut and twisted, but if you just curve the top part the other way around, you'll have a perfect cylinder again.

We can then calculate the lateral surface area of the cylinder, to do so we use the following formula:

L = 2 * π * r * h

Which means we multiply by 2 by the constant π (3.1416) by the radius of the cylinder (in our case 2 inches, since the full diameter is 4 inches) and the height (in our case 4 inches).  So, we enter the numbers in the formula and solve it:

L = 2 * 3.1416 * 2 * 4 = 50.2656 square inches.

(1/2)5x I hope this helps!!

Answer:

Step-by-step explanation:

The brackets are absolute value. The absolute value of a number is the distance from zero which can never be negative (distance can’t be negative). Btw the answer is 2

Answer: See picture.

Step-by-step explanation:

For this king of method, I personally like using the Box Method. See Picture:

first set the first equation equal to x

subtract 2y from both sides

x=27-2y now plug this in to the other equation

2(27-2y)+3y=46 distribute

54-4y+3y=46 --> 54-y=46 now subtract 54 from both sides -y=-8 --> D)y=8

If you weren't asked to show work you could just plug the choices given into the equation

Final answer:

By using the elimination method and subtracting the second given equation from the doubled first equation, we find that the solution for y in the system of equations is y=8.

Explanation:

We are tasked with finding the solution for y in the system of equations:

x + 2y = 27

2x + 3y = 46

To solve the system, we can use either the substitution method or the elimination method. Let's use the elimination method for this problem:

Multiply the first equation by 2:

(2)(x + 2y) = (2)(27)

2x + 4y = 54

Now we have:

2x + 4y = 54 (from step 1)

2x + 3y = 46 (original second equation)

Subtract the second equation from the first:

(2x + 4y) - (2x + 3y) = 54 - 46

y = 8Thus, y=8 is the solution to the system of equations, which corresponds to option D.

Answer:

The missing value is 5

The solution is (8,5)

Explanation:

The given equation is:

5x - 2y = 30

An order pair is written as (x , y). We are given (8 , ?)

This means that we want to find the y value that corresponds to x=8

To do this, we will substitute with x=8 in the given equation and solve for y

This is done as follows:

5x - 2y = 30

5(8) - 2y = 30

40 - 2y = 30

2y = 10

y = 5

This means that at x=8 and y=5, the equation is satisfied

(8,5) is a solution to the given equation

Hope this helps :)

Answer:

(8, 5)

Step-by-step explanation:

The given equation is:

5x - 2y = 30

We have to complete the given incomplete solution set (8, ?)

The first point in the ordered pair is always the x-value. So we are given an x-value and we have to find the corresponding y-value from the function.

Using x = 8 in the given function, we get:

5(8) - 2y = 30

40 - 2y = 30

- 2y = 30 - 40

- 2y = -10

y = 5

So, the value of y for x = 8 is 5. The complete ordered pair that satisfy the equation will be (8, 5)

Answer: It's 170

Step-by-step explanation: if you put 170.1 it counts it as wrong

Answer:

Aprox 190 inch2

Step-by-step explanation:

A = [Pi*r^2]/2

A = 60.5*Pi

A = 189.97 inc2

Best regards

Answer:

190 Square inches

Step-by-step explanation:

Formula for a semicircle is A=3.14*r^2/2

R=11 because its half the diameter

11^2=121

121 * 3.14 = 379.94

379.94 / 2 = 189.97

189.97 is approximately 190.

F(x)=(x+1)^2 that’s the answer

Answer:

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

Step-by-step explanation:

We have been given graph of a function. We are asked to find the equation of the graphed function.

Upon looking at our given graph, we can see that the graph represents a parabola.

We know that vertex form of a parabola is: [tex]y=a(x-h)^2+k[/tex], where, (h,k) represents the vertex of parabola.

We can see that vertex of our given parabola is at point [tex](-1,0)[/tex], so substituting the coordinates of vertex of parabola, we will get:

[tex]y=a(x--1)^2+0[/tex]

[tex]y=a(x+1)^2[/tex]

Now we will find the value of a using coordinates of point (0,1) in above equation.

[tex]1=a(0+1)^2[/tex]

[tex]1=a(1)^2[/tex]

[tex]1=a*1[/tex]

[tex]1=a[/tex]

Therefore, the equation of our graphed function would be [tex]f(x)=(x+1)^2[/tex]

Answer:

Terminating decimal.

Step-by-step explanation:

A terminating decimal had an end.

0.67 ends after the 7; therefore it's terminating.

A recurring decimal does not end.

⅓ or 0.333333333... is a recurring decimal because it never ends. Similarly with ⅔ or 0.6666666666....

It is terminating good luck