if a metal tool chest has the shape of a prism with a pentagonal base of 6194in squared in area, calculate the volume of the metal chest and pick where length c = 6 inches and length m = 19 inches

Answers

Answer 1

The formula for the volume of most prism is area of base(height) so just multiply 43in(21in) to get answer

Answer 2

The volume of the metal tool chest is 37,164 cubic inches. To calculate the volume of the metal tool chest, we use the formula for the volume of a prism: Volume = Base area × Height

Given that the pentagonal base has an area of 6194 square inches, and the length c (which represents the height) is 6 inches, we can calculate the volume as follows:

Volume = 6194 in² × 6 in

Volume = 37,164 cubic inches

So, the volume of the metal tool chest is 37,164 cubic inches.

As for the lengths provided:

c = 6 inches (height)

m = 19 inches (unknown side length of the pentagon)

To know more about volume:

https://brainly.com/question/925888

#SPJ2

Related Questions

You invest an initial $2,000 in an account that has an annual interest rate of 6%, compounded daily. How much money will you have in the account after 15 years? Round your answer to the nearest whole number.

Answers

The formula is
A=p (1+r/k)^kt
A future value?
P present value 2000
R interest rate 0.06
K compounded daily 365
T time 15 years
A=2,000×(1+0.06÷365)^(365×15)
A=4,918.84

Please help with this question! thanks :)

Answers

the tallest line in the graph is 3

so 3 would be the answer

Evaluate. 5.4 - 1.3

Answers

5.4-1.3=4.1 is ur answer.

5.4 - 1.3= 4.1 is your answer

For the polynomial 8x3y2 – x?y2 + 3xy2 – 4y3 to be fully simplified and written in standard form, the missing exponent on the

Answers

A polynomial in standard form has terms arranged with the highest exponent on leftmost side and the lowest exponent on the right end. The variables are also arranged alphabetically.

Therefore, the exponent of the x-term must be 2 for the polynomial to be fully simplified and written in standard form.

Answer: 2

Step-by-step explanation: this answer is 100% correct for edge.nuity

A student performed the following steps to find the solution to the equation x^2-2x-8=0. Where did the student go wrong?

Step 1. Factor the polynomial into (x-4) and (x-2)
Step 2. x-4=0 and x-2=0
Step 3. x=4 and x=3

A. The student did not make any mistakes, the solution is correct
B. in step 1
C. in step 2
D. in step 3

Answers

In step 1, because you want to find factors that multiply to -8 and add to -2. So the correct factorization is (x-4)(x+2). The student got the minus sign wrong.

(Then in step 3 the x=3 is also very wrong, but that looks more like a typo).
(Also, it should be x-4=0 OR x+2=0, there is no x for which both factors are 0 at the same time!)

The variable Z is inversely proportional to X. When X is 6, Z has the value 2. What is the value of z . When x = 13
Round to at least the thousandths place if needed.

Answers

Given that z is inversely proportional to x, then:
z α 1/x
hence;
z=k/x
where:
k is the constant of proportionality;
when x=6, z=2
therefore;
2=k/6
hence;
k=2*6=12

Therefore:
z=12/x
the value of z when x=13 will be:
z=12/13
the answer is 12/13

triangle abc is a right triangle. If AC = 4 and BC = 10, find AB. Leave your answer in simplest radical form.

Answers

The answer is 2 radical 21

What is the approximate area of a circle whose radius is 7? steps?

Answers

Area is 3.14* Radius^2
So plug in your numbers to get
3.14 * 7^2 = 153.94^2

Identify the cross section shown.

circle

trapezoid

rectangle

pentagon

Answers

The cross section shown in the picture below include the following: B. rectangle.

In Mathematics and Euclidean Geometry, a rectangle refers to a type of quadrilateral or polygon in which its opposite sides are equal and all the angles that are formed are right angles.

Generally speaking, a circle has no edge or sides. A trapezoid is a type of quadrilateral that has one pair of parallel sides and one pair of non-parallel sides. Additionally, a pentagon is a regular polygon that comprises 5 sides.

By critically observing the cross section shown in the picture below, we can logically deduce that it represents a rectangle because its opposite sides are equal.

For large parties, a restaurant adds a 15% service charge to the bill. how much would be added to a bill of $638.40?

Answers

In restaurants, especially the fine dining ones, the bill includes a service charge. This payment is intended for the service given by the restaurant crew to make your experience in their premises worthwhile.

The service charge accounts for a fixed percentage of your total expenses. If your total expenses amount to $638.40, then the service charge would be equal to 638.4(0.15) = $95.7. Therefore, $95.7 will be added to your original bill.

Answer:

Service charge added to a bill of $638.40 is $95.76 .

Step-by-step explanation:

As given

For large parties, a restaurant adds a 15% service charge to the bill.

Bill of the parties is $638.40 .

15% is written in the decimal form

[tex]= \frac{15}{100}[/tex]

= 0.15

Thus

Service charge = 0.15 × Bill of the parties .

= 0.15 × $638.40

= $ 95.76

Therefore service charge added to a bill of $638.40 is $95.76 .

What is the image of point (0,3) for mapping (x,y) (x-2,y-3)

Answers

When it asks for the image, that means what are your new coordinates after doing the rules they give you. In this, the rule is to subtract 2 from your x value and subtract 3 from the y value. So you subtract 2 from 0 and subtract 3 from 3. This will give you the values to use for the x and y of your answer:)

Use Gauss-Jordan elimination to solve the following linear system: 5x – 2y = –2 –x + 4y = 4 A. (–6,–5) B. (2,0) C. (0,1) D. (–1,0)

Answers

Im pretty sure its A.

The answer is C.(0,1)

5x - 2y = -2 -x + 4y = 4

5(0) - 2(1) = -2 -(0) + 4(1) = 4

The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2. A. True B. False

Answers

In analytical geometry, you can find the distance between two points situated on the same plane using the distance formula. The equation is

d = √[(x2-x1)^2+(y2-y1)^2]

This can be applied by first applying which is point 1 or point 2. Technically, it does not matter which is which, as long as you are consistent in pairing of the x,y coordinates. In this case, point 1 is (3,7) and point 2 is (x1,y1). Therefore, when you substitute the values, the distance would be

d = √[(x1-3)^2+(y1-7)^2]

The statement is TRUE.

Answer:

true

Step-by-step explanation:

took the test hope this helps

What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?

a. 0, −4, −3
b. 0, −4, 3
c. 0, 4, −3
d. 0, 4, 3

Legit answer plz
this is important

Answers

x^3-x^2-12x=0 factor out x

x(x^2-x-12)=0 factor parenthetical expression

x(x^2-4x+3x-12)=0

x(x(x-4)+3(x-4))=0

x(x+3)(x-4)=0

So x=-3, 0, 4

So c) 0, 4, -3

Answer:

The correct option is c.

Step-by-step explanation:

The given function is

[tex]f(x)=x^3-x^2-12x[/tex]

Taking out the common factors.

[tex]f(x)=x(x^2-x-12)[/tex]

Now, factorize the parenthesis.

[tex]f(x)=x(x^2-4x+3x-12)[/tex]

[tex]f(x)=x(x(x-4)+3(x-4))[/tex]

[tex]f(x)=x(x-4)(x+3)[/tex]

Equate the function equal to 0, to find the zeros of the polynomial function f(x).

[tex]f(x)=0[/tex]

[tex]x(x-4)(x+3)=0[/tex]

Using zero product property, we get

[tex]x=0[/tex]

[tex]x-4=0\Rightarrow x=4[/tex]

[tex]x+3=0\Rightarrow x=-3[/tex]

The zeros of the polynomial function f(x) are 0,4,-3. Therefore the correct option is c.

Find the angle between the given vectors to the nearest tenth of a degree. u = <-5, 8>, v = <-4, 8>

Answers

Answer: 5.4 degrees

Step-by-step explanation:

look up online "how to find the angle between 2 vectors, and it'll show you how"

When a line has an undefined slope what will any two points on the line have in common

Answers

y-coordinate
Good luck and have a nice day.

I think it y or k coordinate most likely y coordinate

The sum of 2 numbers is 7. if one number is subtracted from the other, the result is -1. find the numbers

Answers

Let the two numbers be x and y.

Given,

x + y = 7

x = 7 - y

Also given,

x - y = -1

7 - y - y = -1

-2y = -8

y = 4

x = 7 - y = 7 - 3 = 4

Hence, the numbers are 3 and 4.

A dresser contains six pairs of shorts one each in the colors, red, black, blue, green, khaki, and gray. The dresser also contains four shirts one each in the colors black, navy, red, gray. Melanie has to get dressed in the dark, so she grabs A pair of shorts and a T-shirt at random. What is the probability that she selects a green pair shorts and a gray T-shirt?

(First of all, Melanie, you should really get a lamp. And second why is it you own more shorts than shirts?)

Answers

Answer: 1/24

---------------------------------------------------------------------
---------------------------------------------------------------------

Work Shown:

A = selects green pair of shorts
B = selects gray t-shirt

P(A) = probability of selecting green shorts
P(A) = (number of green shorts)/(number of shorts total)
P(A) = 1/6
P(B) = probability of selecting gray t-shirt
P(B) = (number of gray t-shirts)/(number of t-shirts total)
P(B) = 1/4

P(A and B) = probability of selecting green shorts AND gray t-shirt
P(A and B) = P(A)*P(B) ... since A and B are independent events
P(A and B) = (1/6)*(1/4)
P(A and B) = (1*1)/(6*4)
P(A and B) = 1/24

Note: The fraction 1/24 is approximately equal to 0.041667

Given the function f(x) = log3(x + 4), find the value of f−1(3

Answers

First of all, find f ⁻¹ (x), or the inverse function like so:
y = log(3x + 12)
e^y = 3x + 12
3x = e^y - 12
x = 1/3 (e^y - 12)
Now, swap x and y:
f ⁻¹ (x) = y = 1/3 (e^x - 12)

Secondly and finally, substitute 3 into this eq'n:
f ⁻¹ (3) = 1/3 (e³ -12) = 2.695.....
so 2.695 (to 4 sig.figs/ 3 d.ps)
or if asked for an exact answer then it is just: 1/3 (e³ -12), which can be simplfied to 1/3e³ - 4.

Answer:

Step-by-step explanation:

Given : [tex]f(x) = log_3(x + 4)[/tex]

To Find: [tex]f^{-1}(3)[/tex]

Solution:

[tex]y = log_3(x + 4)[/tex]

Replace y with x and x with y

[tex]x = log_3(y + 4)[/tex]

[tex]3^x = y + 4[/tex]

[tex]3^x-4 = y [/tex]

So, [tex]f^{-1}(x)=3^x-4[/tex]

Now substitute x= 3

[tex]f^{-1}(3)=3^(3)-4 [/tex]

[tex]f^{-1}(3)=27-4 [/tex]

[tex]f^{-1}(3)=23[/tex]

Hence the value of [tex]f^{-1}(3)[/tex] is 23

Can someone help me

Answers

2.89-2.84 = 0.05 cent increase

0.05/2.84 = 0.0176

0.0176 = 1.8% increase

price increase = (new number - original number) / original number....* 100
= (2.89 - 2.84) / 2.84...* 100
= 0.05 / 2.84....* 100
= 0.0176 ...* 100
= 1.76 rounds to 1.8% <===

Please help with this question

Answers

I believe the answer is c there is no x value as there is no solution

What is the equation of the line?

Answers

First find the slope of the line. Slope is defined as the change in y over the change in x.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Find two ordered pairs and plug them into the slope formula.

After looking at the graph, I found two points: (0, 1) and (4, 4)

[tex]\frac{4 - 1}{4 - 0} = \frac{3}{4}[/tex]

Now find where the line intersects the y-axis.

After looking at the graph, I found out that the line intercepts the y-axis at
(0, 1)

Now build the slope-intercept equation.

General form: y = mx + b
Where m is the slope and b the y-intercept

So, the answer is y = 3/4m + 1

Evaluate f(x) when x=9

Answers

if x = 9 then f(x) = 12

answer
12

that is in the range 9≤x<13

f(x) in that range is equal to 12

so f(9)=12

Solve cos x +sqrt2 = -cos x for x over the interval (0,2pi) .

Answers

Final answer:

The equation cos x + sqrt(2) = -cos x is solved by combining like terms and isolating cos x, resulting in the solutions x = 3π/4 and 5π/4 over the interval (0,2π).

Explanation:

To solve the equation cos x + sqrt(2) = -cos x for x over the interval (0,2π), first combine like terms by adding cos x to both sides of the equation, resulting in:

2 cos x + sqrt(2) = 0

Isolate cos x by subtracting sqrt(2) from both sides:

2 cos x = -sqrt(2)

Divide both sides by 2 to solve for cos x:

cos x = -sqrt(2)/2

The value of cos x = -sqrt(2)/2 corresponds to angles in the second and third quadrants. So, the solutions for x in the interval (0,2π) are:

x = 3π/4, 5π/4

Which is a counterexample that disproves the conjecture? After completing several multiplication problems, a student concludes that the product of two binomials is always a trinomial.

Answers

When you make the product of a binomial of the kind x + a times other binomial that is of the kind x - a, you obtain another binomial (not a trinomial), so any example with that form will be a counterexample that disproves the conjecture:

(x + a) * (x - a) = x^2 - a^2

For example, (x +3) * (x - 3) = x^2 - 9. So, not always the product of two binomials is a trinomial.

What is the answer and steps if x=6

Answers

If "[tex]x[/tex]" equals 6

[tex]Then....[/tex]

[tex]Because, \\ \sqrt{6-5=y}^2 \\ y^2 - 1 = 0 \\ \sqrt{6 - 5} = 1 \\ 1 \neq -1 \\ Answer(maybe) : y = 1 [/tex]

A gardener has 27 pansies and 36 daisies. He plants an equal number of each type of flower in each row.What is the greatest possible number of pansies in each row?

Answers

There are 27 pansies.
The factors of 27 are (3,9)
Therefore,
Either (a) plant 3 pansies in 9 rows, or
(b) plant 9 pansies in 3 rows.

There are 36 daisies.
The factors of 36 are (3,12), (6,6) or (9,4).
Therefore
Either (a) plant 3 daisies in 12 rows, or
(b) plant 12 daisies in 3 rows, or
(c) plant 6 daisies in 6 rows, or
(d) plant 9 daisies in 4 rows, or
(e) plant 4 daisies in 9 rows.

Because each row has an equal number of pansies and daisies, the only common arrangements are
(a) 9 pansies and 12 daisies in 3 rows, or
(b) 3 pansies and 4 daisies in 9 rows.

To have the greatest number of daisies in each row means planting 9 pansies and 12 daisies in 3 rows.

Answer:
The greatest number of pansies per row is 9.
Plant 9 pansies and 12 daisies in 3 rows.

WILL GIVE A BRAINLIEST IF UR CORRECT PLEASE HELP!!

Find three solutions of the equation.

y = –3x
a.
(3, –9), (0, 0), (–1, 4)
c.
(–2, 6), (3, –9), (2, –7)
b.
(0, 0), (–3, 7), (–2, 6)
d.
(–2, 6), (3, –9), (–4, 12)

Answers

A pair of numbers is a solution of y = -3x if the second number, y, is -3 times the first number, x.

What about the pair (-1, 4)? If you replace x with -1, you get y = -3(-1) = 3, not 4. So (-1, 4) is NOT a solution.

For each answer choice, you have to check all three of the given pairs.

(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.

Can you finish it?

The rectangle below has an area of x^2-15x+56 x 2 −15x+56 x, start superscript, 2, end superscript, minus, 15, x, plus, 56 square meters and a length of x-7x−7x, minus, 7 meters. what expression represents the width of the rectangle

Answers

The expression that represents the width of the rectangle is x - 8

Area of a rectangle:area = lw

l = length

w = width

area = x² + 15x + 56

length = x - 7

Therefore,

x² - 15x + 56 = (x - 7) w

divide both sides by x - 7

w = x² - 15x + 56 / x - 7

w = (x - 7)(x - 8) / x - 7

w = x - 8

learn more on rectangle here: https://brainly.com/question/4529723

Is the sqr root of 1.21 rational or irrational?

Answers

sqr root of 1.2 = 1.1 = 11/10

answer
rational

Other Questions

Four common types of files are document files, worksheet files, database files, and presentation files. true or false a washer and dryer cost $978 combined the washer cost $78 more than the dryer what is the cost of the dryer The main building in the horyu temple complex is called the __________ A major role of folate in cellular metabolism is the How did new ideas of liberty contribute to tensions between the social classes in the american colonies? A mother gives birth to a 10 pound baby. Every 4 months, the baby gains 2 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx + b that describes the baby's weight. According to Deborah Tannen in "You Just Don't Understand: Men and Women in Conversation," which statement is true about gender and listening behavior?A.Men and women listen in the same way.B.Women listen less to men than men listen to women.C.Men ask more argumentaive questions or seek to puncture holes in the other person's position than do women.D.The differences represent negative motives on the part of both men and women. A computer-aided system for the collection, storage, retrieval, analysis, and presentation of spatial data of all kinds is called What quantity of 18.68 M KOH solution is needed to neutralize 0.2841 grams of KHP ? What is the concentration of the KOH solution? Napoleon laid out a new set of laws in 1804 called the ______ ,which called for religious freedom and equality before the law. A typical child at 24 months weighs about _____ pounds. What is the graph of x = -5? What brought conflict between mining companies and farmers? In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal choices are there if you were to have 1 appetizer, 1 entree, and 1 dessert? 24721318 During World War I, nationalist movements among Russian groupswere often encouraged by the Germans who occupied their territories were responsible for extending Russias involvement in the war were the main reason Russia entered the war resulted in Germanys final surrender When the following reaction is balanced the coefficient in front of carbon dioxide is: ____ C5H12 + ____ O2 ____ CO2 + ____ H2O What lenses cannot be changed to focus on items closer or farther away? Solve the equation using square roots. x^2-15=34 Find the area of a rectangular almond orchard that is 200 yards long and 100 yards wide.300 square yards2100 square yards2000 square yards20000 square yards in 1986 several robotic spacecrafts were sent into space to study the halleys comet. Which of these statements best explains why humans should continue to send robotic spacecrafts into space?A) they absorb harmful radiations in spaceB) they help change weather conditions on earthC) they help discard some myths about objects in spaceD) they destroy meteors and comets which might strike earth Steam Workshop Downloader