The surface area of a cube is 216 cm3. What is the volume of the same cube?

Answer:

A

Step-by-step explanation:

using the altitude- on- hypotenuse theorem

( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so

x² = w × (w + z) = w(w + z) ← take square root of both sides

x = [tex]\sqrt{w(w+z)}[/tex]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.

Then the equation is given as,

x / (w + z) = w / x

Simplify the equation for 'x', then the equation is written as,

x / (w + z) = w / x

x² = w × (w + z)

x = √[w(w + z)]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

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Step-by-step explanation:

Check the attached photo out

Answer:

132 cm cubed

Step-by-step explanation:

so if [tex]\pi[/tex] = 3

cylinder 1 =  3 x 2 x 2 x 7 = 84 cm cubed

cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed

all together = 84 + 48 = 132 cm cubed

area of this object = 132 cm cubed

Considering it's dimensions given as improper fractions, the area of the rectangle is of 3.28125 in².

The area of a rectangle of length l and width w is the multiplication of these dimensions, that is:

A = lw.

In this problem, the dimensions in inches are given as follows.

Hence the area in squared inches is given by:

A = lw = 2.5 x 1.3125 = 3.28125 in².

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Answer:

t = 1 sec   5 meters

Step-by-step explanation:

When the object hits the ground , height = 0

   0    = (5t+5)(1-t)      so t = -1(throw out...can't have negative time value) or 1  

As the object is dropped, t = 0    sub that in to the equation

h = (5(0)+5)(1-0) = 5 meters  

Answer:

B) -5y + 3x = 7 is linear.

Step-by-step explanation:

Since this equation has no exponents on the x or the y, no variable as an exponent, no variable inside a radical, it is a linear function. If you graph it, you will get a line.

Answer:

A. Madrid has a higher monthly average and its monthly temps vary more.

Step-by-step explanation:

I got this right on the quiz.

If your answer turns out to be wrong it can be due to the answers being mixed and/or i didnt read the chart you gave correctly

my apologies if i get it wrong.

Answer:

A.

Step-by-step explanation:

Check the picture below.

Answer:

Answer is greater than 1

Includes Fraction

Rational

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Since a rectangle has 2 sets of congruent sides we can set up the equation:

48=2x+2y

We have our x value/length (14) so we can plug that in to the equation.

48=2(14)+2y

Then we have to simplify

48=28+2y

20=2y

Then simply solve for the y value, which is your width

10=y

well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88[/tex]

so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08[/tex]

[tex] \frac{ \frac{15}{4} }{ \frac{1}{5} } = \\ [/tex]

[tex] \frac{15}{4} \div \frac{1}{5} = \\ [/tex]

[tex] \frac{15}{4} \times \frac{5}{1} = \\ [/tex]

[tex] \frac{75}{4} = \\ [/tex]

[tex] \frac{72 + 3}{4} = \\ [/tex]

[tex] \frac{72}{4} + \frac{3}{4} = \\ [/tex]

[tex]18 + 0.75 = [/tex]

[tex]18.75[/tex]

The expression that represents the volume of the sphere is (4/3)π(6)³.

The radius of the sphere = 6 units

The volume of a sphere with radius r is 4/3πr³.

So, the volume of the given sphere with a radius of 6 units =  (4/3)π(6)³

The volume of the given sphere with a radius of 6 units =  (4/3)π*216

The volume of the given sphere with a radius of 6 units = 288π cubic units.

Hence, the expression that represents the volume of the sphere is (4/3)π(6)³.

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Answer: B

Step-by-step explanation: edge 2023

Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Therefore, percentage accuracy he had with predicting his scores is 92.86%.  

Answer:

13

Step-by-step explanation:

Use the distance formula and plug in both points

Answer:

its either 11 or 13 im not sure

Step-by-step explanation:

Answer:

Given:

Let x = number of horses that had BOTH Lyme disease and arthritis.

⇒ (112 - x) + (42 - x) + x = 140

⇒ 154 - x = 140

⇒ x = 14

Therefore, place 14 in the middle overlapping area.

To find the number to place in the left section:  42 - 14 = 28

To find the number to place in the right section:  112 - 14 = 98

Using proportions, it is found that the volume is 64 times larger than the volume of the original figure.

A proportion is a fraction of a total amount.

In this problem, each of the 3 dimensions will be four times greater, hence, the change in the volume will be given by:

V = 4³ = 4 x 4 x 4 = 64.

The volume is 64 times larger than the volume of the original figure.

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The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg

The given parameters are:

Jen's Hen Farm

Rick's Chick Farm

The range of the egg distribution in both samples is calculated using μ ± σ

For Jen, we have:

μ ± σ = 2.11 ± 0.08

Expand

μ ± σ = (2.11 - 0.08, 2.11 + 0.08)

This gives

μ ± σ = (2.03, 2.19)

For Rick, we have:

μ ± σ = 2.15 ± 0.07

Expand

μ ± σ = (2.15 - 0.07, 2.15 + 0.07)

This gives

μ ± σ = (2.08, 2.22)

So, we have:

Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16

Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14

Eggs classified as large have the weight 2.0 < m ≤ 2.25

0.16 is greater than 0.14.

Hence, Jen's egg is more likely to be classified as large egg

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Answer:

organism

Step-by-step explanation:

all the other anwsers are what is inside a organism

Jill and Cheryl took 12 years and 18 years, respectively, to double their money.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

[tex]\rm t = \dfrac{72}{r}[/tex]

where r is the interest rate and t be the time

The time for the Jill will be

[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]

The time for the Cheryl will be

[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]

More about the Algebra link is given below.

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Answer:

Step-by-step explanation:

1. Do what is inside the parantheses

[tex]4^{2} +3+2\\16+3+2 = 21[/tex]

[tex]7^{2} +3(21)[/tex]

2. Simplify both terms

[tex]7^{2} =49\\3(21) = 63\\49+63[/tex]

3. Solve

[tex]49+63 = 112[/tex]

Answer:

the answer is 102

Step-by-step explanation:

follow the pemdas explanation

Answer:

1. A,B,D,E

2. E,A,B,D,C

3.H,A,C,D

Step-by-step explanation:

Answer:

y=-0.6x+1.8

Step-by-step explanation:

Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8

Answer:

C) 3.

Step-by-step explanation:

(3^2 + 2^2) - 2(3^2 - 2^2)

= (9 + 4) - 2(5)

= 13 = 10

= 3.

Answer:

C) 3

Step-by-step explanation:

When finding the value for this, we would simply by plugging in the values for the given variables and simplify the equation.

( c^2 + d^2 ) - 2 ( c^2 - d^2 )

( 3^2 + 2^2 ) - 2 ( 3^2 - 2^2 )

( 9 + 4 ) - 2 ( 9 - 4 )

( 13 ) - 2 ( 5 )

( 13 ) - 10

3

Answer:

3/4 = 6/10 = 0.6

Step-by-step explanation:

cos is Division of Adjacent side by hypotenuse

Answer:6

Step-by-step explanation:

5.967 is about 6 because 5.9 9 is above 4 so we round up.

Answer:

96

Step-by-step explanation:

L x W x H

8 x 4 x 3 = 96

Answer:

B) 28.61 > 28.48

Step-by-step explanation:

A is wrong because 28 < 29

B is correct because 0.61 > 0.48

C is wrong because 29 > 28

D is wrong because 29 > 28

I hope this helps!