Help! Halfway there. Two square pyramids have the same volume. For the first pyramid, the side length of the base is 16 in and the height is 28. On the 2nd pyramid the height is 112. What is the side length of the base of the 2nd pyramid?,

Answers

Answer 1
Given:

h = height 
s = slant height
a = side length
e = lateral edge length
r = a/2 
V = volume
L = lateral surface area
B = base surface area 
A = total surface area

Pyramid 1. 

h = 28 m
s = 29.1204 m
a = 16 m
e = 30.1993 m
r = 8 m
V = 2389.33 m³
L = 931.854 m2
B = 256 m²
A = 1187.85 m²
Pyramid 2 

h = 112 m
s = 112.071 m
a = 7.99999 m
e = 112.143 m
r = 3.999995 m
V = 2389.33 m³
L = 1793.14 m²
B = 63.9999 m²
A = 1857.14 m²

Related Questions

Can someone help me please, how to add this? Thank you!

Answers

Answer: 
Choice B) [tex]9.9 \angle \underline{76.10^{\circ}}[/tex]

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

Explanation:

The given vectors in polar form are
(17,60)
(8,220)
by polar form I mean (r,theta) where
r = magnitude
theta = angle

Convert the polar form (r,theta) = (17,60) to component form
x = r*cos(theta)
x = 17*cos(60)
x = 8.5
y = r*sin(theta)
y = 17*sin(60)
y = 14.72243186
The component form of the first vector is (x,y) = (8.5, 14.72243186)

Do the same for the second vector
x = r*cos(theta)
x = 8*cos(220)
x = -6.1283555
y = r*sin(theta)
y = 8*sin(220)
y = -5.1423009
The component form of the second vector is (x,y) = (-6.1283555, -5.1423009)

Now we add the vectors. Add up the corresponding components
(8.5, 14.72243186)+(-6.1283555, -5.1423009)
(8.5+(-6.1283555) , 14.72243186+(-5.1423009))
(2.3716445, 9.58013096)

So,
(x,y) = (2.3716445, 9.58013096)
is the component form of the resultant vector. Its the vector we get after adding the two original vectors

The last step is to convert this back to polar form
r = sqrt(x^2+y^2)
r = sqrt(2.3716445^2+9.58013096^2)
r = 9.869326564
which is roughly 9.9

theta = arctan(y/x)
theta = arctan(9.58013096/2.3716445)
theta = 76.09548164
which rounds to 76.10

So we end up with (r,theta) = (9.9, 76.10) pointing to choice B as the answer

Lines AB and CD are parallel. If the measure of W equals 129°, what is the measure of X?

Answers

30 is the answer of x

A bakery bakes 10 cakes per hour & had 3 from the day before. What equation represents this?

A.y = 10x + 3
B.y = 3x + 10
C.y = x + 13
D.y = 13x

Answers

y represents the total number of cakes the bakery make.
x represents the number of hours spent

y = 10x + 3

-----------------------------
Answer: 10x + 3
-----------------------------

A high school student working part-time as a pizza delivery man had a gross income of 6324 last year. If his federal tax rate was 10% and his state tax rate was 4.2% what was the amount withheld from his pay last year in fenderal tax, state tax, and FICA combined

Answers

$1381.79 is the answer

Answer:

$1381.79 withheld from his pay last year.

Step-by-step explanation:

A student working as a pizza delivery man and earned = $6324.00

first we calculate all the taxes at the given tax rates

Federal Tax Rate = 10% of 6324.00

= 0.10 × 6324 = $632.40

State Tax Rate = 4.2% of 6324.00

= 0.042 × 6324 = $265.608

FICA is comprised of taxes for social security and medicare. For social security tax rate is 6.2% and for medicare tax rate is 1.45% which add up to 7.65%.

FICA combined Tax Rate = 7.65% of 6324.00

= 0.0765 × 6324 = $483.786

Now we add all the taxes to get what amount withheld from his pay

= 632.40 + 265.608 + 483.786 = $1381.79

$1381.79 withheld from his pay last year.

For a school group, a skating rink charges a flat fee of $50 for skates for the students to use the skating rink.
•For 40 Students the skating rink charges 180.
•For 75 students, the skating rink charges 293.75
Which question represents the amount the skating rink charges for x students?
A)y=3.25x+35
B)y=3.25x+ 50
C)y=4.50x+ 35
D) y=4.50x+ 50

Answers

The function has a variable part and a fixed part.
That fixed part is given by the fee for skates, which is $50.
The variable part depends on the quantity of students which is called 'x'. For this part, you are provided with a couple of points where the linear function passes by, they are: A(40,180) and B(75,293.75).

So, first thing to do is getting the slope:
[tex]m= \dfrac{293.75-180}{75-40} = \dfrac{113.75}{35} \\ \\ m=3.25[/tex]

Linear function structure is:
[tex]y=mx+b[/tex]
Where b is the y-intercept, which in this case is the fixed part, 50.
Finally, the function is:
[tex]y=3.25x+50[/tex]

Attached picture shows its graph.

I WILL GIVE BRAINLIEST FOR Correct Answer

A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given.

EXPLAIN YOUR ANSWER

a. Find BC, the distance from Tower 2 to the plane, to the nearest foot.
b. Find CD, the height of the plane from the ground, to the nearest foot.

Answers

Answer:

a. 15052.1ft b. 6122ft

Step-by-step explanation:

PLEASE HELP PLEASE HURRY!!!!!!!!!
BRAINLIEST AVAILABLE

Answers

Rule for 1 is the rule for 1 is 14 times 3.5^x and it is exponential

The second one is is also exponential and the rule is 32 times .25^x and the last one is is linear and the rule is 5x+-4
I'm just going to give you the answers. You can figure out how they were obtained. Actually the hints are at the bottom of your exercise. You need only juggle them a bit to get the answers.

1]
y = 14 * (7/2)^x This is never going to linear.

2]
y = 32/(4)^x This also is not linear.

3]
y = 5x - 4 This one is linear

If you have a graphing calculator, you might think about graphing these three. The questions are a bit of by guess and by golly. You just have to keep on trying things until you get it. Look at 0 as an x value first. 

Help please been stuck on this for a week.

Answers

They give the formula as:
Surface Area = (2 • π • r²) + (2 • π • r • height)
However the 2*PI*r^2 part of the formula is used to calculate the 2 "ends" of a cylinder.  Since the problem states that you are NOT to count any of surface area of the "ends" then you only need the (2 • π • r • height) part of the formula.
So, r = 3 inches and height = 8 * 3 inches, the side area equals
2 * PI * r * height
2 * 3.14159 * 3 * 24 =

452.39 cubic inches which is the lateral area.



Ivan earns $8 each time he walks his neighbors dog.he already walked his neighbors dog 5 times.how many more times does he need to walk the dog to earn enough money to buy a game that costs $88

Answers

He needs to walk the dog 6 more times. This is because it takes 11 walks to get to $88 and he only has done 5 so far. Subtract 5 from 11 to get your answer.

Answer:

6 more times

Step-by-step explanation:

Which equation finds the value of x in the triangle below?

Answers

we have that

1) cot 70=x/12

Cot 70=[opposite side]/[adyacent side]=x/12

The option 1 is correct

2) cot 70=12/x

Cot 70=[opposite side]/[adyacent side]=x/12

The option 2 is not correct

3)sec 20=x/12

Sec 20 =1/cos20

Cos 20==[opposite side]/[hypotenuse]=12/z

1/(1/cos20)-------> 1/(12/z)------> z/12

The option 3 is not correct

 
4) sec 20=12/x

Sec 20 =1/cos20

Cos 20==[opposite side]/[hypotenuse]=12/z

1/(1/cos20)-------> 1/(12/z)------> z/12

The option 4 is not correct


the correct value is
1) cot 70=x/12



Answer:

A:  cot 70 degrees = x/12

Step-by-step explanation:

on edg... Good Luck!!!

Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error? Round your answer to the nearest tenth of a percent.

Answers

% change= (new # - original #) ÷ original # x 100

original #= 98
new #= 62

% change= (62-98)/98 x 100
= -36/98 x 100
= -0.36734 x 100
= -36.73%

Rounded to nearest 10th of %= -36.7%

CHECK:
= 98 - (98 * 36.73%)
= 98 - (98 * 0.3673)
= 98 - 36
= 62 new #

ANSWER:
Her percent error was 36.7% (rounded to the nearest tenth of a percent). The negative indicates a decrease.

Hope this helps! :)

Answer: 58.1

Step-by-step explanation:

98 - 62 / 62 = rounds to 58.1 Thank me Later..

What is the measure of angle x, help

Answers

y = 180 - 51 -56 = 73

x = 180 - 73 - 72 = 35

x = 35 degrees
y=180-51-56
=73
x=180-72-73
=35°

Triangle ABC was dilated and translated to form similar triangle A'B'C'.



What is the scale factor of the dilation?

A. 1/5
B. 2/5
C. 5/2
D. 5/1




Answers

Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.

On this exercise is asked to find the scale factor by which the triangle ABC was 
dilated to produce the triangle A'B'C'. 
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.

As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.

Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)

Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)

As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.  

correct answer is 5/2

find the approximate surface area of a bowling ball with a raius of 5 inches

Answers

The surface area would be 100 pi, or rounded to 314.159.

Formula for the surface area of a sphere:  SA  =  4·π·r2

Formula for the volume of a sphere:  V  =  (4/3)·π·r3

Surface area to volume ratio: ( 4·π·r2 ) / ( (4/3)·π·r3 )  =  3 / r

Radius = 5   --->   3/5

Emily’s pet snake is 5 feet long. Kristen’s snake is 50 inches long. Kristen says her snake is much longer because 50 is so much bigger than 5. Is Kristen right? Why or why not?

Answers

kristen is wrong because 50 inches as feet is 4 feet and 2 inches so therefore emily snake is longer

Guys please help me

this is a system of equation word problem

Answers

The starting weight was 185, and the rate of change was -3 (per day).
.. w = 185 -3d . . . . . . d is the number of days, w is the weight in pounds


Evaluating this for d=7, we have
.. w = 185 -3*7 = 164
The point is represented by the ordered pair (7, 164).


The value on day 7 corresponds to the weight loss due to rejection. We might conclude the reaction to rejection was the cause of death.

The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds respectively. What is the fifth computer station?

Answers

The mean weight of five complete computer stations is 167.2 pounds.

The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds.

We have to determine the weight of fifth computer station.

Let the weight of fifth computer station be 'x' pounds.

Mean is calculated by sum of all the observations divided by the total number of observations.

So, [tex] \frac{158.4+162.8+165+178.2+x}{5}=167.2 [/tex]

[tex] \frac{664.4+x}{5}=167.2 [/tex]

[tex] {664.4+x}=167.2 \times 5 [/tex]

[tex] {664.4+x}=836 [/tex]

x= 171.6 pounds

The weight of fifth computer station is 171.6 pounds.

Final answer:

To find the weight of the fifth computer station, subtract the sum of the weights of the four given stations from the mean weight.

Explanation:

The mean weight of five complete computer stations is 167.2 pounds. To find the weight of the fifth computer station, we can calculate the sum of the weights of all five stations and then subtract the sum of the weights of the four given stations. The weight of the fifth station can be found by subtracting the sum of the weights of the four given stations from the mean weight.

Sum of the weights of all five stations = 5 * 167.2 pounds

Sum of the weights of the four given stations = 158.4 pounds + 162.8 pounds + 165 pounds + 178.2 pounds

Weight of the fifth station = Sum of the weights of all five stations - Sum of the weights of the four given stations

Learn more about Mean Weight here:

https://brainly.com/question/23580532

#SPJ11

Trey wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 31
feet and its width is 24
feet. Suppose each pack of seed covers 12
square feet. How many packs of seed will he need to cover the backyard?

Answers

The first step to solve this problem is to compute for the area of the rectangular backyard. The formula in computing the area of a rectangle is:

A = LW

Substituting the given measurement to the formula:

A = 31 (24)

A = 744 square feet

The area of the backyard is 744 square feet.

Since each pack of seed covers 12 square feet, you need to divide this to the total area of the backyard.

Therefore, you need 62 (744 / 12) packs of seed to cover the backyard.

Final answer:

Trey will need 62 packs of seed to cover his backyard.

Explanation:

To find the number of packs of seed Trey will need to cover his backyard, we need to calculate the total area of the backyard and then divide it by the area covered by each pack of seed.

The formula to find the area of a rectangle is length x width. For Trey's backyard, the length is 31 feet and the width is 24 feet, so the area is 31 x 24 = 744 square feet.

Each pack of seed covers 12 square feet, so we divide the total area of the backyard by the area covered by each pack of seed: 744 / 12 = 62 packs of seed.

Learn more about Calculating area of a rectangle here:

https://brainly.com/question/18101587

#SPJ2

Which function has a domain of all real numbers except x=π/2 ±nπ?

A. y=secx
B. y=cosx
C. y=1/sinx
D. y=cotx,

Answers

A. y=secx This problem deals with the various trig functions and is looking for those points where they are undefined. Since the only math operations involved is division, that will happen with the associated trig function attempts to divide by zero. So let's look at the functions that are a composite of sin and cos. sin and cos are defined for all real numbers and range in value from -1 to 1. sin is zero for all integral multiples of pi, and cos is zero for all integral multiples of pi plus pi over 2. So the functions that are undefined will be those that divide by cos. tan = sin/cos, which will be undefined for x = π/2 ±nπ cot = cos/sin, which will be undefined for x = ±nπ sec = 1/cos, which will be undefined for x = π/2 ±nπ csc = 1/sin, which will be undefined for x = ±nπ Now let's look at the options and pick the correct one. A. y=secx * There's a division by cos, so this is the correct choice. B. y=cosx * cos is defined over the entire domain, so this is a bad choice. C. y=1/sinx * The division is by sin, not cos. So this is a bad choice. D. y=cotx, * The division is by sin, not cos. So this is a bad choice.

Answer:

y=cos x

Step-by-step explanation:

A P E X

what’s the inverse of y=4x^2-2

Answers

Interchange the x and y and solve for the resulting y.
x = 4y^2 - 2
(x + 2) = 4y^2
(x + 2)/4 = y^2
+/- sqrt(x + 2)/2 = y

The graph of these two is below.

The original is in red
The inverse is in blue and green

There are 18 animals and 40 legs in all so lets see how many cows could be born. 4,8,16,12,24,28,32,36,40. so there could be 9 cows and now lets see on chickens 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40. so the could be 20 chickens so if u think. i think the ancewer is 30 chickens and 10 cowws thx!!!!

Answers

--------------------------------------
Given information
--------------------------------------
Total animals = 18
Total legs = 40

--------------------------------------
Assumed all are chickens
--------------------------------------
Total legs = 18 x 2 = 36

--------------------------------------
Calculate extra legs
--------------------------------------
40 - 36 = 4

--------------------------------------
Difference in legs between the cow and chicken
--------------------------------------
4 - 2 = 2

--------------------------------------
Find the number of cows
--------------------------------------
4 ÷ 2 = 2

--------------------------------------
Find the number of chickens
--------------------------------------
18 - 2 = 16

--------------------------------------
Answer: 16 chickens and 2 cows
--------------------------------------

helppppppppppppppppp

Answers

Answer:
14.1 in

Explanation:
The equation relating the length of arc, radius of circle and angle is:
S = rθ
where:
S is the length of the arc
r is the radius of the circle = 6 in
θ is the angle in radians = 135 degrees = (135*π) / 180 = 0.75 π radian

Substitute with the givens in the above equation to get the length of the arc as follows:
S = rθ
S = 6 * 0.75π
S = (9/2) π which is approximately 14.1in

Hope this helps :)

Given f(x) =10x-2x find f(7)

Answers

replace x with 7
 10(7) -2(7)

70 - 14

56

f(7) = 56

The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.

V(t)=24,500(0.95^t)

Find the initial value of the car and the value after 13 years.
Round answers to the nearest dollar as necessary.

Answers

Initial value means t equals 0. Therefore
24,500*(0.95^0) =
24,500*1 = 24,500
Hence, the initial value is £24,500

The value after 13 years means t equals 13. Therefore
24,500*(0.95^13) =
12,576.88
Hence, the value after 13 years is about £12,577

△ABC∼△DEF , △ABC has a height of 20 inches, and △DEF has a height of 24 inches. What is the ratio of the area of △ABC to the area of △DEF ? Enter your answer, in simplest form, in the boxes. :

Answers

Let
h1---------------> height of △ABC 
b1---------------> base  of △ABC
h2--------------->height of △DEF
b2---------------> base of △DEF

we know that
h1=20 in
h2=24 in

Since they are similar, their bases must be in the same proportion:
h1/b1=h2/b2------> 20/b1=24/b2-----------> 24b1=20b2
b1=20b2/24-------------> equation 1

Area of △ABC=b1*h1/2
Area of △DEF=b2*h2/2

Let
r------>[the ratio of the area of △ABC to the area of △DEF]
r=[b1*h1/2]/[b2*h2/2]------> [b1*h1]/[b2*h2]
r=[20b1]/[24b2]---------------> equation 2

I substitute 1 in 2
r=[20(20b2/24)]/[24b2]--------> r=20²/24²-------> r=0.6944

the answer is 
the ratio of the area of △ABC to the area of △DEF is 0.69

What is the ratio of CDs & DVDs

Answers

A. 2:1
B. 1:4
C. 1:2
D. 1:5

Convert -1.2 repeating as a mixed number

Answers

I believe that the answer is -1 and 2/10ths not 100% but I hope that this helps
I actually don't know this one sorry

Which expression shows a sum of three terms? (1 point)

3x

3 + x

x^3

x + 3 + x

Answers

The last expression shows the sum of three terms. The sum is the amount resulting in addition.

The answer is x + 3 + x

Answer:

x + 3 + x

Step-by-step explanation:

3x :

This is a product of two terms, where x is any variable.

3 + x :

This is sum of two terms,where x is any variable.

x^3 :

This expresses x to the power of three. It can also be written as  (x times x times x ). Thus it is the product of three terms, where x is any variable.

x + 3 + x :

This is the sum of three terms, where x is any variable.

Thus answer is x + 3 + x

39 is 75% of what number

Answers

Hi!

IF 39 is 75%, divide 39 by 3. 

39/3= 13

Multiply that by 4. 

13*4= 52 

39 is 75% of 52. 

Have a nice day! 

How to find the equation of a circle

Answers

hmmm lemme do the first one only

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{5}{ h},\stackrel{3}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\\\ (x-5)^2+(y-3)^2=2^2\implies (x-5)^2+(y-3)^2=4[/tex]

Final answer:

To find the equation of a circle, use the formula (x - h)² + (y - k)² = r², where (h,k) is the center of the circle and r is its radius. You apply this knowledge to other circular calculations, such as the angular velocity or the position and velocity of a moving point on the perimeter of the circle.

Explanation:

Finding the Equation of a Circle

To find the equation of a circle, you need to know the circle's radius (r) and the coordinates of its center (h,k). The general form of the equation is (x - h)² + (y - k)² = r². The values of h and k are the x and y coordinates of the center of the circle, respectively. If you recall the formula for the circumference of a circle, which is 2πr, and the area, which is πr², you can see that these both incorporate the radius of the circle in their calculations, similar to how the radius is used in the equation of the circle. When given certain dimensions or related motion problems, you can substitute known values into the equation to solve for the unknowns.

For example, if a circle has a radius of 5 units and its center is at the point (3,4), the equation would be (x - 3)² + (y - 4)² = 25. To find equations related to circular motion, like in the scenario of a student on a merry-go-round, knowing the radius also allows for determining the angular velocity and the velocity of a shadow or any point moving in circular motion.

Other Questions
What is the main idea behind designer Jesse Schells three step process for making a game? Plz help I will give brainlyest Edwin and lavonne are a typical, hard-working family in the united states. edwin owns a small business and lavonne stays home with the children. they both value achievement, respect, and having harmonious interpersonal relationships within their family. based on this description, edwin and lavonne would be classified as Which statement best describes a country with a diversified economy? Country C has ten percent farmable land and uses all of it to produce corn. Country D has crude oil reserves and also exports gold and grain. Country B has wheat crops that make up 90 percent of its trade exports. Country A imports more goods and services than it exports. Water is flowing into a 50-gallon bathtub at a rate of 2.3 gallons per minute (gpm). To the nearest minute, how long will it take to completely fill the bathtub? A. 48 minutes B. 22 minutes C. 26 minutes D. 115 minutes Determine how many, what type, and find the roots for f(x) = x4+ 21x2 100. What was the event that brought everyone to church in a lesson before dying book Read this paragraph. Abram woke up at 6:30 a.m. He showered, ate breakfast, and gathered his books for school. He was on time for the bus, and he made it to homeroom early enough to compare notes with his friend Dave for that day's algebra exam. He was feeling good about the test by the time he walked into class. What text structure does the paragraph use? sequence compare-contrast cause-effect problem-solution what does this mean? and can gove answer Consider the reaction: 2A(g)+B(g)3C(g). When A is changing at a rate of -0.110Ms1, How fast is C increasing? Identify the 35th term of an arithmetic sequence where a1 = -7 and a18 = 95. (2 points)Question 1 options:1) 2032) 1973) 1684) 163, emily is converting 9 feet per hour into inches per minute. which conversion factor should she use Which scenario is the best example of public health promotion 4x (3x + 8y)-7y (5x-1) Simplify the expression above. Which of the following is correct? What was the chronological span of the baby boom, the population surge that peaked in 1957? Which process in the water cycle do plants perform? (2 points) Which statement best explains the Emergency Quota Act?A)It was a need for more people to move westward.B)It restricted the admission of foreigners into the United States.C)It allowed Native Americans to stay on tribal lands.D)It gave U.S citizens the ability to have dual citizenship. A 12 cup serving of soup has a total of 70 calories, 10 of which are from fat. what percentage of the calories are from fat? A child goes down a playground slide with an acceleration of 1.12 m/s2 .find the coefficient of kinetic friction between the child and the slide if the slide is inclined at an angle of 27.0 below the horizontal. The surface temperature on Mars can range from -17.2C to -107C. Which temperature is lower? A person who is interested in curing diseases of the brain might pursue a career in A. endocrinology B. gene therapy C. neuroscience D. sports medicine