Mathematics College

If the dimensions of a square pyramid are measured in yards, then the volume of the pyramid is measured in

Answers

Answer 1
yd * yd * yd = yd^3

The volume is measured in cubic yards.
Answer 2

Answer:  The volume of the pyramid is measured in cubic yards.

Step-by-step explanation:  Given that the dimensions of a square pyramid are measured in yards.

We are to find the unit in which the volume of the pyramid is measured.

We know that

the volume of a square pyramid with length of base edge 'a' units and height 'h' units is given by

[tex]V=\dfrac{1}{3}a^2h~\textup{cubic units}.[/tex]

Here, length of base edge 'a'  and the height 'h' of the given square pyramid is measured in yards.

Therefore, the volume of the pyramid will be measured in

[tex]\textup{yards}\times \textup{yards}\times \textup{yards}\\\\=\textup{cubic yards}.[/tex]

Thus, the volume of the square pyramid is measured in cubic yards.

Related Questions

Four family members compared their ages. Terell is 3 years younger than Danny. Danny is 1 year younger that Pablo. Pablo's age is 1/3 Shaniqua age. How old is Terell if shaniqua is 36 years old?

Answers

Terell is 8. 36 / 3 = 12. 12-1=11. 11-3=8.

Match the expressions with the property used to generate 5y + 2y + 6 + 2.

Answers

7y + 8 should be your answer. 
Hope this helps!

Jeremy 7 years older than Esmeralda in 3 years the sum of their ages will be 57 how old is Jeremy now

Answers

Right now, Jeremy is 29 years old. Esmeralda is currently 22. 
First, define your variables.
J = Jeremy's age
E = Esmeralda's age

Next, create your equations.
J = E + 7
J + 3 + E + 3 = 57 which simplifies to J + E = 51

Now because J is defined in terms of E, substitute E as J into the second equation. E + 7 + E = 51
Next, 2E = 44
E = 22

Now, substitute the value of E into the original equation to find J. J = E + 7. J = 22 + 7. J = 29

Next check by substituting into the second equation. J + E = 51. 22 + 29 = 51.

Jeremy's age: 29
Esmeralda's: 22

Graph the equation
5x+3y+62=30

Answers

Answer:

see below

Step-by-step explanation:

Subtract 62, then divide by -32 to put the equation into intercept form:

... x/(-6.4) + y/(-10 2/3) = 1

This tells you the x-intercept is -6.4, and the y-intercept is -10 2/3. A line through these two points is your graph.

Ratio Question solving with algebra need help must finish soon

Answers

Consider this option.
Note, that the answers are marked by green colour.

solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and
x + 7y = 8

Answers

[tex] \left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right. [/tex]

To solve this system by substitution, first isolate x in the second equation.

[tex]x+7y=8[/tex]
[tex]x+7y-7y=8-7y[/tex]
[tex]x=8-7y[/tex]

Now, plug this expression ([tex]8-7y[/tex]) for x in the top equation to solve for y.

[tex] \frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14} [/tex]
[tex]3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24} [/tex]
[tex]72-63y+8y=17[/tex]
[tex]72-55y=17[/tex]
[tex]-55y=17-72[/tex]
[tex]-55y=-55[/tex]
[tex]y=1[/tex]

Now that you have y, plug it into the second equation and solve for x.

[tex]x+7y=8[/tex]
[tex]x+7(1)=8[/tex]
[tex]x+7=8[/tex]
[tex]x=1[/tex]

Last step is to plug your x- and y-values in to both equations to check your work.

[tex] \frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24} [/tex]

[tex] \frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24} [/tex]

[tex] \frac{9}{24} + \frac{8}{24} = \frac{17}{24} [/tex]  <--True

[tex]1+7(1)=8[/tex]
[tex]1+7=8[/tex]   <--True

Answer:
[tex]x=1 \\ y=1[/tex]

Answer:

1,1

Step-by-step explanation:

Correct:)

What is equation for the line or curve of the best fit for the following data?

Answers

Correct Answer:
Option 2. y = 4.98x - 0.3

The given points can be plotted on a graph. The points mainly lie in a straight line so a straight line will be the best fit for the given set of ordered pairs. The equation of line that best fit can be found using any tool like Excel, Statcrunch etc. Using excel the points have been plotted and equation of best fit is found. The image attached below show the graph and equation

In the diagram, what is the value of x?

Answers

The answer is option C (98°)

x is a supplementary angle to the angle labelled as measuring 82° (that is, the sum of x and 82° is 180°) because together, they make a straight line.

Mathematically,
x + 82° = 180°
x = 180° - 82°
x = 98°

One rejects the null hypothesis only when the:
a. sample mean is larger than the population mean.
b. p value associated with the test statistic is greater than the p level chosen.
c. p value associated with the test statistic is smaller than the p level chosen.
d. sample mean is smaller than the population mean.

Answers

C. P Value associated with the test statistic is smaller than the p level chosen. 

If the P value is less than or equal to o, then the null hypothesis is rejected in favor of the alternative hypothesis. The alternative hypothesis is also known as the research hypothesis. These are part of the significance levels of research based projects. 

Find the value of x so that this quadrilateral is a parrallelogram

Answers

Hey there!

Since this is a parallelogram, the 2 angles with the equations are congruent. Make them equal each other. 2x+60=4x-12. You get 72=2x. Divide by 2 on each side to get x=36. The answer is x=36.

I hope this helps!

if the input is 3 and the output is 13 what is the function

Answers

Based on the given information, the function is
  f(3) = 13

Johan takes out a 20-year mortgage at 4% to buy a house. When he looks at investing in 20-year, fixed-rate Treasuries, which of the following rates is most likely closest to the coupons on the Treasuries? Select the best answer from the choices provided. 2.2% 7.8% 3.9% 9.2%

Answers

Given that Johan takes-out a 20 year mortgage at 4% to buy a house. If he looks at investing in 20-year, fixed rate Treasuries, the most likely closest to the coupons of the treasuries is 3.8%, this is because any other rates apart from this will lead to an arbitrage opportunity. This means that if the percentage of the coupons are high, Johan may invest his proceeds from mortgage to treasuries and earn risk free interest. The right rate is 3.9%

Answer:

3.9%

Step-by-step explanation:

Investing in treasuries is often seeing as a risk free investment since it is sure that they will pay, but the rates are too low, when banks and other finnance corporations set up their mortages and other kinds of large loans interests rates they set them up higher than the fixed rate treasuries since otherwise it´d just be a better deal to put that money on treasuries than lending it to people.

how i describe the algebraic expression of n+4

Answers

Answer:

Step-by-step explanation:

One way to put that into words would be "4 added to some number".  Another way could be "the sum of some number and 4" or "4 more than some number".  They all mean the same thing.

CAN I GET THE RIGHT ANSWER TO THIS??

Answers

That would be B. XY
A secant is a line that has two different intersecting points with a circle

52÷2 what is the answer to this math

Answers

52 / 2 is 26!

Brainliest? I am trying to get a higher rank!
52÷2=? The answer to this question is 26.

find the missing number 1.2 equals 3. what

Answers

If you are asking 1.2 times what equals 3:

x= unknown number

1.2 * x= 3
1.2x= 3
divide both sides by 1.2
x= 3/1.2
x= 2.5

Hope this helps! :)

A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional minute. Last month, the student talked on the phone for 790 minutes. Which of the following is the bill for the month?

Answers

$87.50 because there are 190 minutes over, each minute being .25 cents. which is $47.50. added to the original charge of $40 for 600 minutes

We have to find the bill for this month.

Since, the student talked on phone for 790 minutes.

600 minutes are provided in a monthly charge of $40 and the remaining minutes are charged $0.25/minute.

So, 790 - 600 =190 minutes.

So, 190 minutes are minutes at $0.25/minute.

So, Cost applied on 190 minutes = [tex] 190 \times \$ 0.25 [/tex]

= 47.50

So, Total bill for 790 minutes =

Cost for 600 minutes + Cost for 190 minutes

= $40 + $47.50

= $87.50

So, the bill for the month is $87.50

reuben deposits $700 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?

Answers

Given that the account pays simple interest, the amount earned from Reuben's deposit of $700, at the rate of 5% p.a in 3 years will be:
I=PRT
P=$700
R=0.05
T=3 years
thus
I=700×0.05×3=$105

A circle is dropped into parabola y = x 2 . what is the radius of the largest circle that will touch the vertex?

Answers

A circle with the radius of 6

if 30% of the students in Miss World was class like chocolate ice cream then how many students are in her class if 6 students like chocolate ice cream

Answers

20 is the amount of students :)

Lucy is making a smoothie by following the recipe below

Answers

I need more information. If you find some add it then I will possibly be able to answer your question
Yea this is very true

Find an equation of the tangent line to the tangent line to the given curve at the specified point y= ln(x^2-8x+1), (8,0)

Answers

Try this option (note, that this is an equation of the tangent line to the given curve at point A(9;0)).
Details are provided on the attached picture.

Find the cosine and the tangent of 60 degrees

Answers

We are required to find the cosine  and tangent of 60°. Here we use an equilateral triangle whose side is 2 units, the height of the triangle by Pythagorean theorem will be √3 units, the base of the right angle triangle formed by bisection of the base will be 1 unit.
thus:
tan θ=opposite /adjacent
opposite= √3
adjacent=1
hence:
tan 60=√3/1=√3

cos θ=adjacent/ hypotenuse
adjacent=1
hypotenuse=2
thus
cos 60=1/2

Answer:

D!!!

Step-by-step explanation:

3x+4y=-23
2y-x=-19
What is the solution (x,y) to the systems of equations above?

Answers

If we multiply the bottom equation by 2 and move x to the right, it becomes:

4y = 2x-38

Now we can substitute it for the 4y in the top equation:

3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3

Then 4y = 2*3-38 => y = -8

So the solution is (3,-8)

Final answer:

The solution to the system of equations 3x + 4y = -23 and 2y - x = -19, found using the elimination method, is (x, y) = (-61, -40).

Explanation:

To solve the system of equations 3x + 4y = -23 and 2y - x = -19, we can use the method of substitution or elimination. Let's use elimination to find the solution for (x, y).

Multiply the second equation by 2 to align the x terms: 2(2y - x) = 2(-19), which gives us 4y - 2x = -38.

Rewrite the equations to align like terms:
  3x + 4y = -23
  -2x + 4y = -38

Add the two equations together to eliminate y: (3x - 2x) + (4y + 4y) = -23 - 38, resulting in x = -61.

Substitute x back into the second original equation: 2y - (-61) = -19, which simplifies to 2y + 61 = -19.

Solve for y by subtracting 61 from both sides: 2y = -80, and then dividing by 2 gives us y = -40.

So, the solution to the system of equations is x = -61 and y = -40.

What are the coordinates of the image of the point (4, 2) after a dilation with a center of (0, 0) and a scale factor of 2? A. (0, 0) B. (2, 1) C. (4, 2) D. (8, 4)

Answers

Answer:

Option D (8,4)

Step-by-step explanation:

we know that

The dilation centered at the origin  (0,0) is very simple. To find out the image point multiply the scale factor to the x  and  y-coordinates of the pre-image point.

so

(2*4,2*2) -----> (8,4)

Answer:

D.  (8, 4) IS THE ANSWER

What is the diameter of a circle with a circumference of 176 feet use for 22 over for pie

Answers

Formula for Diameter: 2 x radius
Formula for Radius:  R= C/2(pi)
R= 176/2(22/7)
R=28.01
2(28.01)=56.02

Answer= 56.02


5n + 3 = 2(n + 2) + 3n
N= ???
-Show All Work!-

Answers

Simplifying
5n + 3 = 2(n + 2) + 3n

Reorder the terms:
3 + 5n = 2(n + 2) + 3n

Reorder the terms:
3 + 5n = 2(2 + n) + 3n
3 + 5n = (2 * 2 + n * 2) + 3n
3 + 5n = (4 + 2n) + 3n

Combine like terms: 2n + 3n = 5n
3 + 5n = 4 + 5n

Add '-5n' to each side of the equation.
3 + 5n + -5n = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 + 0 = 4 + 5n + -5n
3 = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 = 4 + 0
3 = 4

Solving
3 = 4
The left and right sides are not equal, therefore there is no solution.

Steph Curry makes 9 out of 10 free throws if he free throws 200 shots how many can the expect to get in

Answers

he can expect to make 180 free throw shots

Answer:

180 out of 200

Step-by-step explanation:

A rectangular prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal.

Answers

Answer:

The  volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]

Step-by-step explanation:

Formula

Volume of a rectangular prism = Length × Breadth × Height

As given

A rectangular prism has a length of [tex]3 \frac{1}{2}[/tex]inches, a width of 5 inches, and a height of [tex]1 \frac{1}{2}[/tex] inches.

i.e

A rectangular prism has a length of [tex]\frac{7}{2}[/tex]inches, a width of 5 inches, and a height of [tex]\frac{3}{2}[/tex] inches.

[tex]Volume\ of\ a\ rectangular\ prism = \frac{7}{2}\times 5\times \frac{3}{2}[/tex]

[tex]Volume\ of\ a\ rectangular\ prism = \frac{7\times 5\times\times 3}{2\times 2}[/tex]

[tex]Volume\ of\ a\ rectangular\ prism = \frac{105}{4}[/tex]

In mixed number

[tex]Volume\ of\ a\ rectangular\ prism =26 \frac{1}{4}\ inches^{3}[/tex]

In decimal form

[tex]Volume\ of\ a\ rectangular\ prism = 26.25\ inches^{3}[/tex]

Therefore the  volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]

Answer: [tex]26\dfrac{1}{4}\text{ inches}^3[/tex]

Step-by-step explanation:

Given : In a rectangular prism , length = [tex]3\dfrac{1}{2}\text{ inches}[/tex]

[tex]=\dfrac{3(2)+1}{2}=\dfrac{7}{2}\text{ inches}[/tex]

width = 5  inches

height= [tex]1\dfrac{1}{2}\text{ inches}=\dfrac{3}{2}\text{ inches}[/tex]

Now, the volume of the prism will be :-

[tex]V= l\times w\times h\\\\=\dfrac{7}{2}\times5\times\dfrac{3}{2 }\text{ inches}^3\\\\=\dfrac{105}{4}\text{ inches}^3\\\\=26\dfrac{1}{4}\text{ inches}^3[/tex]

Hence, the volume of the prism [tex]=26\dfrac{1}{4}\text{ inches}^3[/tex]

Ronald Fast Food randomly selected 20\%20%20, percent of locations and asked the manager about the most popular meat. Of the locations surveyed, beef is the most popular meat at 444 locations.
Based on the data, what is the most reasonable estimate of the number of Ronald Fast Food locations where the most popular meat is beef?

Answers

The answer is 20.

Hope this helped☺☺
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