Mathematics High School

Find the volume of the rectangular prism below

V = L * W * H

Answers

Answer 1

Answer:

40[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

V = L × W × H

V = 1.5 × 6 × 4.5

V = 40.5 or 40[tex]\frac{1}{2}[/tex]

Answer 2

Answer:

40 1/2ft

Step-by-step explanation:

H(4 1/2 )x W(1 1/2) = 6.75

HW(6.75)x L(6) = 40.5

Related Questions

period of f(x)=cos(x)+2

Answers

Answer:

The period is 2π

Explanation:

The period is 2 times pi because 2 is the standalone-term multiplied by pi to get the period.

Use the given information to determine which of the following relationships
can be proved and why.
ZL= 20
ZME P
M

Answers

Answer:

C. ∆LMN ~ ∆OPQ, because of AA

Step-by-step explanation:

All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.

congruence

No sides are given as congruent, so no congruences can be proved.

similarity

Two pairs of corresponding angles are said to be congruent, so we can say ...

∆LMN ~ ∆OPQ, because of AA

What is the range of the function

Answers

Answer:

should be the first one -inf < y < inf

Erica buys a package of note cards costing $1.44. She gives the cashier
$5.00. The cashier gives her her change using the least number of coins and
bills possible. How many of each coin or bill does she receive?

Answers

Answer:

See below.... several options

Step-by-step explanation:

Change is $3.56

3 dollar bills one 50 c piece one nickel one penny

(though 50 cent pieces are uncommon.....this may be 2 quarters)

[For a while , there was $ 2 bills

so it could be one 1 dollar bill and one $ 2 bill instead of three dollar bills]

A new amusement park presold discounted tickets for the opening day as well as upon arrival at the park. the opening day ticket sales for the park, including presales, is represented by this function, where is the number of tickets sold h hours after opening at 7:00 a.m. what is the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m.? a. tickets per hour b. tickets per hour c. tickets per hour d. tickets per hour

Answers

The approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

How to determine the rate of change?

The missing part of the question is represented by the following function:

[tex]T(h) = \frac{386 + 110h}{h}[/tex]

10:00 a.m is 3 hours after 7:00 am and 1:00 p.m is 6 hours after 7:00 am.

This means that:

h = 3 at 10:00 am

h = 6 at 1:00 pm

Next, we calculate T(3) and T(6)

[tex]T(3) = \frac{386 + 110*3}{3} =238.7[/tex]

[tex]T(6) = \frac{386 + 110*6}{6} =174.3[/tex]

The average rate of change is then calculated as:

[tex]T'(h) = \frac{T(3) - T(6)}{3 - 6}[/tex]

This gives

[tex]T'(h) = \frac{238.7 - 174.3}{-3}\\[/tex]

Evaluate

T'(h) = -21

This means that the approximate rate of change in the number of tickets sold between 10:00 a.m. and 1:00 p.m. -21 tickets per hour

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find the value of x and y

Answers

Answer:

x= 131

y = 49

Step-by-step explanation:

X and 49 form a straight line so they add to 180

x+49 = 180

x = 180-49

x =131

49 and y are alternate interior angles and alternate interior angles have the same value

y = 49

Step-by-step explanation:

please mark me as brainlest

Kayla drew a right triangle. Which could be the lengths of the triangle's sides?
A. 12 cm, 25 cm, 37 cm B. 9 cm, 16 cm, 25 cm
C. 8 cm, 14 cm, 17 cm D. 7 cm, 24 cm, 25 cm

Answers

Answer:

A triangle has side lengths 10 feet, V205 feet, and V105 feet

Step-by-step explanation:

Please help! This is a problem that is relatively easy but I still need help!

Answers

Answer:

Hi,

Step-by-step explanation:

The triangles CBA and DEA are equals ( 3 sides 2 to 2 equals), angles CAB and DAE are also equals:

6t-12=18-4t

10t=30

t=3(°)

angle CAB=6t-12=6*3-12=6(°)=angle(DAE)

angle BCA=(180-6)/2=87(°)=angle CBA=angle (ADE)=angle(DEA)

Given: ABCD is a parallelogram. Prove: ∠A ≅ ∠C and ∠B ≅ ∠D Parallelogram A B C D is shown. By the definition of a ▱, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary. Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠ .

Answers

A parallelogram is a quadrilateral with four sides. The opposite sides of the parallelogram are equal and parallel.

How to illustrate the parallelogram?

The parallelogram is a quadrilateral with equal and parallel sides, such that the interior angles present on the same side of the transversal are supplementary.

The sum of supplementary angles is equal to 180-degrees. From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.

From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.

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Answer:

D Supplementary BC D

Step-by-step explanation:

did on edgu 2022 !!

Which expression is equivalent to
4^sqrt 6 / 3^sqrt2

Answers

Answer: Choice C

[tex]\frac{\sqrt[12]{55,296}}{2}[/tex]

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

Explanation:

Recall the process to rationalize the denominator is to multiply top and bottom by the denominator expression. This only works if we have a square root in the denominator.

For cube roots, we'll need to multiply two copies of the denominator to top and bottom. This will get us three copies of [tex]\sqrt[3]{2}[/tex] so that the cube root goes away.

Check out the steps below to see what I mean:

[tex]\frac{\sqrt[4]{6}}{\sqrt[3]{2}}\\\\\\\frac{\sqrt[4]{6}\sqrt[3]{2}\sqrt[3]{2}}{\sqrt[3]{2}\sqrt[3]{2}\sqrt[3]{2}}\\\\\\\frac{6^{1/4}*2^{1/3}*2^{1/3}}{\left(\sqrt[3]{2}\right)^3}\\\\\\\frac{6^{3/12}*2^{4/12}*2^{4/12}}{2}\\\\\\\frac{\left(6^3*2^4*2^4\right)^{1/12}}{2}\\\\\\\frac{\left(55,296\right)^{1/12}}{2}\\\\\\\frac{\sqrt[12]{55,296}}{2}\\\\\\[/tex]

In short,

[tex]\frac{\sqrt[4]{6}}{\sqrt[3]{2}}=\frac{\sqrt[12]{55,296}}{2}[/tex]

We have the 12th root of 55,296 all over top the integer 2. The "2" is not part of the 12th root. This shows why choice C is the final answer.

Answer:

Step-by-step explanation:

I need help please help me and thank you :))

Answers

Answer:

see explanation

Step-by-step explanation:

∠ CZD = 90° , then

∠ CZF = 90° - ∠ FZD = 90° - 40° = 50°

∠ FZD and ∠ AZG are vertically opposite angles and are congruent , so

∠ AZG = 40°

∠ CZF and ∠ GZE are vertically opposite angles and are congruent , so

∠ GZE = 50°

∠ AZB + ∠ BZC = 90° , that is

3x - 2 + 32 = 90

3x + 30 = 90 ( subtract 30 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

1. Which shows the factoring pattern for the sum of cubes?
1. (a+b)(a2–ab+b2)
2. (a+b)(a2–ab–b2)
3. (a–b)(a2–ab+b2)
4. (a+b)(a+b)(a+b)

2. Select all the solutions of x3+2x2−9x=18.
1. x=2
2. x=−3
3. x=3
4. x=−2

3. If x=−1 is a root of the polynomial 0=x3+2x2−5x−6, what are the other roots?
1. x=3, x=−2
2. x=−3, x=2
3. x=−1, x=−3, x=2
4. x=0, x=−3, x=2

4. Subtract: (x2–1)–(x3–2x+1)
1. –x^3 – x^2 + 2x
2. –x^3 – x^2 + 2x + 2
3. –x^3 + x^2 + 2x – 2
4. –x^3 + x^2 – 2x – 2

5. What is the largest multiplicity in the factored polynomial y=(x2−1)(x+2)(x+4)?
1. 4
2. 1
3. 0
2. 0

Answers

The solution to the questions are:

The expression that represents the factoring pattern is (a + b)(a² - ab + b²)The solutions of the equation x³ + 2x² - 9x = 18 are x = -3, x = 3 and x = -2The other roots are x = -3 and x = 2The result of subtracting the expressions is - x³ + x² + 2x - 2The largest multiplicity is 1

Factoring pattern for the sum of cubes

As a general rule, the sum of cubes x³ and y³ is:

x³ + y³= (x+y)(x² - xy + y²)

Replace x with a and y with b

a³ + b³= (a + b)(a² - ab + b²)

Hence, the expression that represents the factoring pattern is (a + b)(a² - ab + b²)

The solutions of the polynomial

The equation is given as:

x³ + 2x² - 9x = 18

Subtract 18 from both sides

x³ + 2x² - 9x - 18 = 0

Factorize the expression

x²(x + 2) - 9(x + 2) = 0

Factor out x + 2

(x²- 9)(x + 2) = 0

Express x²- 9 as a difference of two squares

(x + 3)(x - 3)(x + 2) = 0

Split

(x + 3) = 0 or (x - 3) = 0 or (x + 2) = 0

Remove brackets

x + 3 = 0 or x - 3 = 0 or x + 2 = 0

Solve for x

x = -3, x = 3 and x = -2

Hence, the solutions of the equation x³ + 2x² - 9x = 18 are x = -3, x = 3 and x = -2

The other roots of the polynomial

The polynomial equation is given as:

0 = x³ + 2x² - 5x - 6

Rewrite as:

x³ + 2x² - 5x - 6 = 0

Factorize the expression on the left-hand side

(x + 3)(x + 1)(x - 2) = 0

Split

x + 3 = 0 or x + 1 = 0 or x - 2 = 0

Solve for x

x = -3 or x = -1 or x = 2

Hence, the other roots are x = -3 and x = 2

Subtract the expressions

The expression is given as:

(x² - 1) - (x³ - 2x + 1)

Expand

x² - 1 - x³ + 2x - 1

Collect like terms

- x³ + x² + 2x - 1 - 1

Evaluate the like terms

- x³ + x² + 2x - 2

Hence, the result of subtracting the expressions is - x³ + x² + 2x - 2

The largest multiplicity of the polynomial

The polynomial is given as:

y = (x² - 1)(x + 2)(x + 4)

Express x² - 1 as a difference of two squares

y = (x - 1)(x + 1)(x + 2)(x + 4)

The power of each factor in the above expression is 1.

This means that the largest multiplicity is 1

Answers

Answer:

Part A = 7

Part B = 1

I hope this is right, sorry if it isn't

Answer:

See below

Step-by-step explanation:

5 cups cheese / ( 2/3 cup cheese/plate ) =

5 * 3/2 = 15/2 = 7 1/2 or 7 full plates

2/3 cup cheese / plate * 9 plates =

2/3 * 9 = 6 cups cheese total

she has 5 cups to start.....she will need 1 cup more

Corrine wrote temperatures in degrees Celsius and the equivalent temperatures in degrees Fahrenheit.

Equivalent Temperatures
Celsius
–10
5
10
20
Fahrenheit
14
41
50
68

Which explains how Corrine could determine if the temperatures vary directly?
Compare the equivalent temperatures as a ratio; if the ratios are equivalent, then the temperatures vary directly.
Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.
Write an equation that converts one temperature to another; if the temperatures satisfy the equation, then they vary directly.
Look for a pattern in the table; if the pattern is consistent, then the temperatures vary directly.

Answers

Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly , Option B is the correct answer.

What is Direct Variation ?

When a quantity of one variable is increased and the value of the other also increases then they are said to be in direct variation.

For the data to be in direct variation

Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.

The points in any linear equation can only fluctuate directly, therefore all points will lie on the same line.

Option B is the correct answer.

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Answer:

ez b

Step-by-step explanation:

answer asap!!! please

Answers

Answer:

Step-by-step explanation:

You can see it in the graphs after you plot it.

Allison earned a score of 95% on a test where the mean was only an 82%. How far above average was her score?

Answers

Answer:

The correct answer is 13%.

Step-by-step explanation:

We can easily put in the equation:

95 - 82 = 13

Hope this helps:) Goodluck!

What is the length of st given s (-3, 4) and t (1, 0)

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1 - (-3)]^2 + [0 - 4]^2}\implies d=\sqrt{(1+3)^2 +(-4)^2} \\\\\\ d=\sqrt{32}\implies d\approx 5.66[/tex]

Ariana has 4 posters she wants to hang on the wall how many different ways can the posters be arranged

Answers

Answer:

4 different ways

Step-by-step explanation:

there are four different ways she can post it because there are four posters she want to hang on the wall.

The measure of angle is 0 is 7pi/4. The measure of its reference angle is ___ °, and tan 0 is ____

Answers

Answer: pi/4 and -1

Step-by-step explanation:

Which is the graph of f(x)?

Answers

Answer: [tex]fx[/tex]

The slope is 0, and

the y-intercept is (0, 0)

[tex]\left[\begin{array}{ccc}x&y\\0&0\\1&0\end{array}\right][/tex]

In order to find the graph of "f(x)", we need to graph the line using the slope and y-intercept, or two points.

Is LMN = OPQ? If so, name the congruence postulate that applies. N Given: LM = OP PQ = MN P M = 00 O A. Congruent - SAS O B. Congruent - SSS O C. Might not be congruent O D. Congruent - ASA

Answers

Based on the sides of LMN and OPQ, the congruence postulate that applies is B. Congruent - SSS.

When is the SSS rule used?

It is used when the two triangles given have three equal corresponding sides which also have equal angles.

All three sides of LMN and OPQ are equal sides and have equal angles and so the SSS rule applies.

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High school geometry. help is needed, please and thank you.

Answers

What do you need help with?

Andrei wants to fill a glass tank with spherical marbles and then fill the remaining space with water.

The variable "w" models the amount of water (in liters) Andrei uses if he uses n marbles.

w = 32 - 0.05n

What is the volume of each marble?

Answers

The volume of each marble is 0.05 liter

How to determine the volume?

The volume function is given as:

w = 32 - 0.05n

The variable n represents the number of marbles.

This means that 0.05n represents the volume of n marbles and 32 represents the total volume of the glass tank

To get the volume of each marble, we divide 0.05n by n

i.e.

Volume = 0.05n/n = 0.05

Hence, the volume of each marble is 0.05 liter

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50 POINTS HELP ME PLEASE ITS GEOMETRY

Answers

Answer:

x is the midpoint of a segment in the diahram

Answer:

x is mid point

Step-by-step explanation:

I hope it's helpful for

this is due today. help please

Answers

In the triangle represented in the diagram, The value of X is: 23°

Meaning of a Triangle

A triangle can be defined as a plain shape that has three sides, three edges and three angles.

A triangle is majorly defined as a shape that possesses three angles and their interior angles sum up to 180°

In conclusion, in the triangle represented in the diagram, The value of X is: 23°

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Considering the sum of the internal angles of a triangle, it is value that the value of x is of x = 23º.

What is the sum of the internal angles of a triangle?

A triangle has three angles, and their sum is of 180º.

In this problem, the angles are:

x, 67º, 90º.

Hence:

x + 67º+ 90º = 180º.

x = 23º.

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the quotient of a number and three is four. what is the number

Answers

Answer:

Step-by-step explanation:

12/3=4

4*3=12

Hope this helps!

If not, I am sorry.

Answer:

Step-by-step explanation:

The quotient of a number and three is four. What is the number?

The word problem can be written as:

[tex]\sf{\dfrac{x}{3}=4}[/tex]

1. Multiply both sides by 3:

[tex]\sf{3\left(\dfrac{x}{3}\right)=4(3)}\\\\\implies x=12[/tex]

2. Check your work:

[tex]\sf{\dfrac{12}{3}=4}\\\\\implies 4=4 \ \checkmark[/tex]

Therefore, the number is 12.

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A group of 50 mothers were asked how many children they have. the
table shows the results.
number of children
number frequency
1
8
2
12
3
10
4.
14
5
6
what is the experimental probability of a mother having 1
child?

Answers

Answer:

4/25

Step-by-step explanation:

total no of children-15

total no of mothers-50

probability that a mother has i child

1/50

=8/50

=4/25

Answer:

0.16

Step-by-step explanation:

A group of 50 mothers were asked how many children they have. the

table shows the results.

number of children 1 2 3 4 5

number frequency 8 12 10 14 6

What is the experimental probability of a mother having 1

child?

Total number of mothers = 8 + 12 + 10 + 14 + 6 = 50

Number of mothers with 1 child = 8

p(1 child) = 8/50 = 0.16

Find the least common multiple of 35 and 21

Answers

Answer:

105

Multiples of 35:
35, 70, 105, 140, 175

Multiples of 21:
21, 42, 63, 84, 105, 126, 147

Answer:

105

Step-by-step explanation:

Given the following question:

We are given two numbers and we are trying to find the least common multiple (LCM) of the two. In order to find the LCM we have to find the GCM or the greatest common multiple.

[tex]35\div7=5[/tex]
[tex]21\div7=3[/tex]
[tex]GCM=7[/tex]

Now that we have the GCM we multiply 35, and 21 then divide it by the GCM.

[tex]35\times21=735[/tex]
[tex]735\div7=105[/tex]
[tex]LCM=105[/tex]

The least common multiple is "105."

Hope this helps.

I need help on this. & I'll give brainlyest to anyone who can solve it for me. Thank's!!!!

Answers

Answer:

I can helpyou with that but im not sure with it

Helen purchased 3 copies of a book online at a 20% discount. She also paid $10 for shipping that was not discounted. How much was the original price of one copy of the book if her total ended up being $40?

Answers

Answer:

The original price of the book was $12.50

Step-by-step explanation:

3x - 0.2(3x) + 10 = 40
30x - 2(3x) + 100 = 400
30x - 6x + 100 = 400
24x + 100 = 400
24x = 300
x = 12.50

Other Questions

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Find the volume of the rectangular prism below V = L * W * H

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Find the volume of the rectangular prism below

V = L * W * H