any one have the rest of the Surface Area and Volume Unit Test ??? please !!

Answer:

Packaging with cube will be more efficient.

Step-by-step explanation:

Given:

A cube and a sphere where the diameter of the sphere is equal to the height of the cube.

Let the height of the cube "x"

Radius of the sphere =  [tex](\frac{x}{2})[/tex]

Formula to be used:

Surface area of the cube = [tex]6x^2[/tex] and Surface area of the sphere = [tex]4\pi (r)^2[/tex]

Volume of the cube = [tex]x^3[/tex] and Volume of the sphere = [tex]\frac{4\pi r^3}{3}[/tex]

We have to compare the ratio of SA and Volumes.

Ratio of SA :                                        Ratio of their volumes :

⇒ [tex]\frac{SA\ of\ cube\ (S_1)}{SA\ of\ sphere\ (S_2)}[/tex]                            ⇒ [tex]\frac{Volume \ of \ cube\ (V_1)}{Volume\ of\ sphere\ (V_2)}[/tex]

⇒ [tex]\frac{6x^2}{4\pi (\frac{x}{2})^2}[/tex]                                           ⇒ [tex]\frac{x^3}{\frac{4 \pi r^3}{3} }[/tex]

⇒ [tex]\frac{6x^2}{4\pi (\frac{x^2}{4})}[/tex]                                           ⇒ [tex]\frac{x^3}{\frac{4 \pi (\frac{x}{2})^3}{3} }[/tex]

⇒ [tex]\frac{6x^2}{\pi x^2}[/tex]                                               ⇒  [tex]\frac{x^3}{\frac{4 \pi (\frac{x^3}{8})}{3} }[/tex]

⇒ [tex]\frac{6}{\pi}[/tex]                                                  ⇒ [tex]\frac{6}{\pi}[/tex]

⇒ approx [tex]2[/tex]                                     ⇒  approx [tex]2[/tex]

⇒ [tex]S_1=2S_2[/tex]                                      ⇒ [tex]V_1=2V_2[/tex]

Packaging of the toy with the cube will be more efficient as it has more volume comparatively.

To find the volume of a cylinder given its circumference and height, divide the given circumference by 2π to find the radius then use the formula for the volume of a cylinder πr²h. In this case, the volume of the cylinder is approximately 100,530.4 cubic feet.

The volume of a cylinder can be calculated using the formula V = πr²h where V is the volume, r is the radius of the base, h is the height, and π is a constant that is approximately 3.14. Firstly, we need to find the radius. The circumference of the circle, which is the base of the cylinder, is given by the formula C = 2πr where C is the circumference and r is the radius. Given the circumference as 125.7 feet, we can calculate the radius (r) by dividing the circumference by 2π. Therefore, r = 125.7/(2*3.14) = 20 feet. Once we have the radius, we can calculate the volume of the cylinder using the formula V = πr²h. Substituting r = 20 feet and h = 80 feet, we get V = 3.14 * (20)^2 * 80 which equals 100,530.4 cubic feet. Hence, the closest answer would be option (B) 100,053.1.

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Answer:

600 beans

Step-by-step explanation:

If there are 300 pinto beans and the ratio is 1:1 there would have to be 300 black beans making 600 total.

Answer: 6/12

Step-by-step explanation:

You have a 50% percent chance of landing on the shaded area

Answer: good luck

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The median is 50, the lower quartile is 39, and the upper quartile is 62.

Answer:

c

Step-by-step explanation:

Answer: 4.22

Step-by-step explanation:

Answer:The answer is B,E and F

Step-by-step explanation:

I'm not sure how to explain but divided 10.40 by 4 and the answer is 2.6 and after that you can figure the rest out. Hope this helps!

Answer:

333

Step-by-step explanation:

Answer:

15,800-4,400

Step-by-step explanation:

Add the assets column which equals to 15,800, then add the liability column which adds up to be 4,400 :)

Answer:$15,800 - $4,400 = $11,400

Step-by-step explanation:

yes

Answer:

What is the answer?

Step-by-step explanation:

Answer:

D)81

Step-by-step explanation:

Answer:

Carlos is risking breaking another bone or getting hurt because he doesn't use any safety equipment to prevent it from happening.

Step-by-step explanation:

Answer:

[tex]3\text{ gallons}[/tex]

Step-by-step explanation:

GIVEN: Sadie is making punch for her soccer team picnic. She uses [tex]8[/tex] quarts of lemon lime soda, [tex]4[/tex] pints of vanilla ice cream and [tex]8[/tex] cups of orange juice.

TO FIND: How many gallons of punch will she have.

SOLUTION:

Amount of lemon lime soda punch [tex]=8\text{ quarts}[/tex]

Amount of vanilla ice cream punch [tex]=4\text{ pints}[/tex]

Amount of orange juice punch [tex]=8\text{ cups}[/tex]

Now,

[tex]1\text{ gallon}=4\text{ quarts}[/tex]

total lemon lime soda punch [tex]=2\text{ gallon}[/tex]

[tex]1\text{ gallon}=8\text{ pint}[/tex]

total vanilla ice cream punch [tex]=0.5 \text{gallon}[/tex]

[tex]1\text{ gallon}=15.77\text{ cups}[/tex]

total orange juice punch [tex]=0.51\text{ gallon}[/tex]

Hence total gallon of punch [tex]=2+0.5+0.51[/tex]

                                               [tex]\approx3\text{ gallon}[/tex]

Hence sadie has total [tex]3\text{ gallons}[/tex] of punches

Answer for the first blank = infinity

Answer for the second blank = 9000

===================================================

Explanation:

Note how the graph goes on forever in both left and right directions. So x extends forever in both directions. This means any x can be an input to the function. The domain is -infinity < x < infinity. Basically, the domain is the set of all real numbers.

The range is -infinity < y <= 9000 since there is no smallest y value, but the largest y can be is y = 9000. Look at the highest point of the parabola and note the y coordinate of this point. This highest point is called the vertex.

Answer:

Mode is 4 median is 3 range 7 mean 3.5

Step-by-step explanation:

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]z=\frac{14-15}{2}[/tex]

[tex]z=\frac{-1}{2}[/tex]

[tex]z=-0.5[/tex]

Similarly, we will find the z-score corresponding to 18.

[tex]z=\frac{18-15}{2}[/tex]

[tex]z=\frac{3}{2}[/tex]

[tex]z=1.5[/tex]

Now we will find the probability of getting a z-score between [tex]-0.5[/tex] and [tex]1.5[/tex] that is [tex]P(-0.5<z<1.5)[/tex].

[tex]P(-0.5<z<1.5)=P(z<1.5)-P(z<-0.5)[/tex]

Using normal distribution table, we will get:

[tex]P(-0.5<z<1.5)=0.93319-0.30854[/tex]

[tex]P(-0.5<z<1.5)=0.62465[/tex]

Let us convert [tex]0.62465[/tex] into percentage.

[tex]0.62465\times 100\%=62.465\%\approx 62.5\%[/tex]

Therefore, approximately [tex]62.5\%[/tex] of the students are between 14 and 18 years old.

Answer:

62.47%

Step-by-step explanation:

Answer:

The cost to rent a snorkel is 9$

(espanol) el costo de un snorkel es de 9$

Step-by-step explanation:

(English)Given that the group of tourists have spent $153 in renting snorkels and fins and there are 12 snorkels and 15 pairs of fins being rented, allow x to be the amount paid for the rent of the snorkels and y to be the rent for pairs of fins then 12x + 15y = 153. Given also that the rent for a snorkel is three times the rent of a pair of fins then x = 3y then, 12(3y) + 15y = 153. Simplify the equation, 36y + 15y = 153. 51y = 153. Solve for y by dividing both sides of the equation by 51 then, y = 153/51 = 3. Therefore, renting a pair of fins costs $3. To compute for the rent of a snorkel, use the equation x = 3y then, x = 3($3) = $9.

(Espanol) Dado que el grupo de turistas han gastado $153 en el alquiler de snorkels y aletas y hay 12 snorkels y 15 pares de aletas que se alquilan, permitir x para ser la cantidad pagada por el alquiler de los snorkels y y para ser el alquiler para pares de aletas entonces 12x + 15y 153. Dado también que el alquiler para un snorkel es tres veces el alquiler de un par de aletas y luego x a 3y, entonces, 12 (3y) + 15y a 153. Simplifique la ecuación, 36y + 15y a 153. 51y a 153. Resuelva para y dividiendo ambos lados de la ecuación por 51 entonces, y á 153/51 a 3. Por lo tanto, alquilar un par de aletas cuesta $3. Para calcular el alquiler de un snorkel, utilice la ecuación x á 3y, a continuación, x a 3($3) a $9.  

The circumference of Circle B is 4 meters.

Convert mixed number to fraction:

Circumference of Circle A = 2 2/3 m = 8/3 m

Find the diameter of Circle A:

Circumference = π * diameter

8/3 m = π * diameter_A

diameter_A = 8/3π m

Find the diameter of Circle B:

diameter_B = 1 1/2 * diameter_A = 3/2 * (8/3π) m

diameter_B = 4 / π m

Find the circumference of Circle B:

Circumference = π * diameter_B

Circumference of Circle B = π * (4 / π) m

Circumference of Circle B = 4 m

Therefore, the circumference of Circle B is 4 meters.

Answer:

i think 48,000

Step-by-step explanation:

Answer:

me to

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that, .

Frederick make 7 × 7 quilt array

This shows that there are seven rows and there are seven columns.

So, the total quilt is

7 × 7 = 49 squares patches

We are told that each of this square patches are 3½ in long

Then, since it is a square patch, it's area is

A = S² = 3½ × 3½ = 12¼ in²

So, each square patch has an area of 12¼in²,

Then, for 49 square patches

The total area of 49 Square patches is

A = 49 × 12¼ = 600.25 in²

So, the area of the whole quilt is 600.25 in²

Answer:

The area of the whole quilt  is 600.25 ft²

Step-by-step explanation:

Here we have the length of each patch given as [tex]3\frac{1}{2} in[/tex]

Therefore, whereby the quilt had 7 × 7 array of different color square patches, we have;

Length of each side of quilt = [tex]7 \times 3\frac{1}{2} = 7 \times \frac{7}{2} = \frac{49}{2} = 24\frac{1}{2}[/tex]

∴ Area of the whole quilt = [tex]24\frac{1}{2} \times 24\frac{1}{2} = \frac{2401}{4} = 600\frac{1}{4} \ ft^2[/tex]

The area of the whole quilt  = 600.25 ft².

Answer:

[tex]\frac{7}{20}x < 26.25[/tex]

Step-by-step explanation:

If $x is the value of the gift card when Tyler entered the store, then after spending [tex]\frac{13}{20}[/tex] of the gift card the card's value was less than $26.25.

So, we can write the inequality as

[tex]x - \frac{13}{20}x < 26.25[/tex]

⇒ [tex]\frac{7}{20}x < 26.25[/tex]

So, this is the required inequality that describes x, the value of the gift card when Tyler entered the store. (Answer)

Answer:

13 years

first calculate interest and use formula

SI=ptr/100.

Answer:

13

Step-by-step explanation:

Answer:

765

Step-by-step explanation:

17 * 45 = 765

Answer:

765

Step-by-step explanation:

Answer:

(A) Add the two equations.

Step-by-step explanation:

Solved by addition/elimination method.

Let me know if I'm wrong.

<3

Answer:

6

Step-by-step explanation:

If c is 2 then that means you would multiply 2 and 3 to get 6

Answer:

The answer is : 20 seconds

Step-by-step explanation:

First, we are told that it takes the person 8 seconds to travel 56 feet, hence, we will find the time it takes to travel one foot.

56 feet = 8 seconds

∴ 1 foot = 8/56 seconds

Next, we are told that the length of the sidewalk is 140 feet, therefore walking from one end of the sidewalk to the other is the the same as walking 140 feet, and this is calculated thus:

1 foot = 8/56 seconds (calculated above)

∴ 140 feet = 8/56 × 140 = 20 seconds

Answer:

i will give you the steps to find out how

Step-by-step explanation:

Explanation: To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Answer:

The equation to find the area of a Trapezoid is A=h·([tex]\frac{b1+b2}{2}[/tex])

Step-by-step explanation: