Which of the following options have the same value as 10% of 332
Choose 3 answers:

Answer:

343 : 729

Step-by-step explanation:

A cube is made up of 6 square faces. If each face has a side length of a, we can find the surface area of that cube with the formula \(A=6a^2\), since we'll have 6 faces with area a². Let's call the edge length of the first cube a and the edge length of the second cube b. The ratio between their surface areas is then 6a² : 6b², or simply a² : b². If we compare this to our given ratio 49 : 81, we can see that a² = 49 and b² = 81, or, square rooting both equations, a = 7 and b = 9.

The volume of a cube with a side length a is a³, so the ratio between our cubes here must be a³ : b³. Using the values for a and b we just found, this ratio becomes 7³ : 9³, which we can simplify to 343 : 729.

Answer:

343 : 729

Step-by-step explanation:

If the ratio of the sides of a cube = a : b , then

ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Given ratio of areas = 49 : 81, then

ratio of sides = \(\sqrt{49}\) : \(\sqrt{81}\) = 7 : 9 , so

ratio of volumes = 7³ : 9³ = 343 : 729

Answer:

x = 8

Step-by-step explanation:

Base angles of isoceles triangle are equal

5x + 10 = 50

5x = 40

x = 8

Step-by-step explanation:

180(n-2)/n=90 ( this is the solution for the 90)

cross multiplying

180n-360=90n

180n-90n=360

90n=360

90n/90=360/90

n=4, the number of sides for the polygon with 90° is 4 sides

Solution for 100°

180(n-2)/n=100

180n-360=100n

180n-100n=360

80n=360

80n/80=360/80

n=4.5

Same applies to the rest 110°,125° ,150°,175°

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Answer:

m = 1/7

Step-by-step explanation:

3m(n + 3p) = n + p

1st step: Replace the known  letters

3m(4 + 3 X 8) = n + p

2nd step: Solve inside the parathenstics

3m(28) = n + p

3rd step: simplify both sides of the equation

84m = 4 + 8 (combine like terms)

84m = 12

4th step: divide both sides by 84

m = 1/7

Answer:

-5cd

Step-by-step explanation:

-3cd-d(2c-4)-4d

Open the bracket

= -3cd-2cd+4d-4d

= -5cd+0

= -5cd

Answer:

-5cd

Step-by-step explanation:

B is the answer

Answer:

Step-by-step explanation:

= factorial of n= real or complex number= nth derivative of f evaluated at the point a

Answer:

A = 1

B = 5

Step-by-step explanation:

Step-by-step explanation:

The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.

According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.

The area of the acute triangle can be calculated by the formula:

         area of acute triangle = (1/2) × b × h

         b = base, and

         h = height

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Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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The equation is 128 + 2x = 180.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The sum of the same-side interior angles between two parallel lines is supplementary

This means,

128 + 2x = 180

2x = 180 - 128

2x = 52

x = 26

Thus,

The value of x is 26.

The equation is 128 + 2x = 180.

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130 tickets would be needed to sold to make $910 money.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

slope= 280-210/40-30

=70/10

=7

y represents the money made and x represents the tickets

Now let us find the y intercept

70=7(10)+b

b=0

So equation is y=7x

We have to find the  amount that needs to be sold to make $910

910=7x

Divide both sides by 7

x=910/7

x=130 tickets

Hence, 130 tickets would be needed to sold to make $910 money.

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Answer:

m∡QPR = 25°

Step-by-step explanation:

solve for 'x':

8x + 7 + 9x + 16 = 40

17x + 23 = 40

17x = 17

x = 1

m∡QPR = 9(1) + 16

m∡QPR = 25°

Answer:

\(x + 2y= 2\)

Step-by-step explanation:

Given

Points:

\(F = (4,9)\)

\(G = (1,3)\)

Required

Determine the equation of line that is perpendicular to the given points and that pass through \((2,0)\)

First, we need to determine the slope, m of FG

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where

\(F = (4,9)\) --- \((x_1,y_1)\)

\(G = (1,3)\) --- \((x_2,y_2)\)

\(m = \frac{3 - 9}{1 - 4}\)

\(m = \frac{- 6}{- 3}\)

\(m =2\)

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

\(m_2 = -\frac{1}{m}\)

\(m_2 = -\frac{1}{2}\)

The equation of the line is then calculated as:

\(y - y_1 = m_2(x - x_1)\)

Where

\(m_2 = -\frac{1}{2}\)

\((x_1,y_1) = (2,0)\)

\(y - 0 = -\frac{1}{2}(x - 2)\)

\(y = -\frac{1}{2}(x - 2)\)

\(y = -\frac{1}{2}x + 1\)

Multiply through by 2

\(2y = -x + 2\)

Add x to both sides

\(x + 2y= -x +x+ 2\)

\(x + 2y= 2\)

Hence, the line of the equation is \(x + 2y= 2\)

Answer:

X+2y=2

Step-by-step explanation:

Answer:

Order from greatest to least: 10.5, \(3\pi +1\), \(\sqrt{105}\)

Step-by-step explanation:

step 1 simplify each number

3π + 1  = 10.4247779

*round to the nearest tenth*

3π + 1 = 10.4

\(\sqrt{105} =10.2469507\)

*round to the nearest tenth*

\(\sqrt{105} =10.2\)

10.5 = 10.5

Now that we have simplified each number we can easily put them in order from greatest to least

10.5 is the greatest number

10.4 is the middle number

10.2 is the lowest number

so 10.5, 10.4, 10.2

Now we put them back in the original form

10.5 = 10.5

10.4 = 3π + 1

10.2 = \(\sqrt{105}\)

Your answer is

10.5 , 3\(\pi\) + 1, \(\sqrt{105}\)

Answer:

\(\frac{5}{-12}\)

Step-by-step explanation:

Answer:

\(\frac{5}{-12}\)

Step-by-step explanation:

Given

\(\frac{-25}{60}\)

now 60 ÷ - 5 = - 12

Divide numerator and denominator by - 5

= \(\frac{5}{-12}\)

the answer is 5x^2-5x-10

Answer:

5x2 - 5x - 10 (IM SORRY IF IM WRONG)

Step-by-step explanation:

The geometric transformation of z that describes the quotient z/w is A. Scale z by a factor of 1/2

Geometric transformation

It should be noted that transformation means change. Therefore, a geometric transformation means changes in a geometric shape.

From the complete information, the complex numbers z = 2 (cos^5(pi) + sin^5(pi))

The geometric transformation of z on the complex plane that describes the quotient z/w will be to scale z by a factor of 1/2

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answer:

yes, because when you count the units you will see they are same

step-by-step explanation:

The closest point will be 0.6 which is point Q.

To determine the product of the numbers graphed at points R and T, we need to find the coordinates of these points on the number line.

So, point R x point T

= 7/10 x 9/10

However, once you have the coordinates of points R and T, you can multiply the corresponding numbers to find their product.

Then, 0.7 x 0.9

= 0.63

From the points given we can write as

P = 0.4

Q = 0.6

R= 0.7

S = 0.8

T = 0.9

Among all the points the most closest is 0.6 which is point Q.

Thus, the closest point will be 0.6 which is point Q.

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To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

Answer:

you just multiply the values inside the parentheses. 11 x -4 x 12, so its -44 x 12, being -528

Step-by-step explanation:

The section of the research report that may have the information about the statistical parameter used and the findings of statistical tests is the "Results" and ''Reference" section.

The results section usually comes after the introduction and literature review sections of the research report.

A research report is a document that outlines the results of a study conducted by an individual or a group. The research report is a written record of the study and includes information about the research design, data collection, data analysis, and findings. A research report can be written in different formats, depending on the discipline and audience.

Statistics refers to the collection, analysis, interpretation, presentation, and organization of data. Statistics help researchers to draw conclusions from data and make informed decisions. Statistical tests are used to determine whether the results of a study are statistically significant, which means that the results are unlikely to have occurred by chance. Statistical tests are an essential part of the research process, and the findings of these tests are reported in the results section of a research report.

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Answer:

4

Step-by-step explanation:

Answer:

A - 142

B - 38

C - 38

D - 142

E - 142

F - 38

G - 38

H - 142

Step-by-step explanation:

It's been a while since I've done these so please don't judge

Answer:

Well this is pretty simple

Parralel lines cut by a transversal.

So we have one measurement of 142 which is a

A and B are supplementary (When added up you get 180 degrees)

So basically to find that you can do this

180-142=38

So B is 38

We can now use vertical angles.

A and D are vertical and vertical angles are congruent (equal)

d is 142

B and c are congruent

B is 38 so C is also 38

Now We find EGHF

Techcinally we can just do what i would do which is draw and x between the vertical angles

So if drawn an ”X” you can see the sam exact pattern as for ABCD

Which in this case E is 142

H is 142

F is 38

G is 38

If done the hard way you can use altenrate/same side (interior exterior)/ Corresponing angles.

So Here’s what you need to know

Alternate interior and exterior are equal

Correspnding angles are equal

Same side are supplementary

Thats all you need to know.

Interior is basically BD and EG

Exterior is AC and FH

Correspnding are basically same sides but one is ont he inside and one is on the outside

Ex:

A and E

B and F

C and G

D and H

Same side is EXACLTY what is sounds like, the same side but everything has to be either interior or exterior

(Interior) B and E

(Interior) D and G

(Exterior) A and F

(Exteiror) C and H

Final answers:

A- 142

B- 38

C- 38

D- 142

E- 142

F- 38

G- 38

H- 142

The pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular sides.

Given that, the volume of a pentagonal prism is 360 in³, with a height of 3 inches,

We need to find the area of the base,

We know that, the volume of a pentagonal prism is =

V = 1/4 √(5(5+2√5)·a²h

Where a is the base edge and h is the height,

360 = 1/4·3 √(5(5+2√5)·a²

1/4·√(5(5+2√5)·a² = 120

Since, the base of a pentagonal prism is a pentagon, and the area of a pentagon = 1/4 √(5(5+2√5)·a²

And we have,

1/4 √(5(5+2√5)·a² = 120

Therefore, the base area is 120 in²

Hence, the pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

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Answer: 4 batches

Step-by-step explanation: 1/8 + 1/8 +1/8 +1/8 is the same as 1/2. Each 1/8 represents 1 batch. (1/8*4=4/8 which is equivalent to 1/2)