In the rectangular pyramid below, l=30, w=20, and h=28. What is the length of s?

Answers

Answer 1

Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2=30·20+30·(20

2)2+282+20·(30

2)2+282≈2127.25933

Your answer is 2127.259

I think it will help you

Answer 2

If "s" represents the slant height in the rectangular pyramid with dimensions l = 30, w = 20, and h = 28, then the length of "s" is approximately 29.75 units.

To find the length of "s" in the rectangular pyramid, we first need to understand the terminology used to describe the different dimensions of a pyramid.

In a rectangular pyramid, "l" usually represents the length of the base, "w" represents the width of the base, and "h" represents the height of the pyramid (the perpendicular distance from the base to the apex or top vertex of the pyramid).

However, there is no standard notation for the length of the slant height (s) in a rectangular pyramid. In this context, the term "s" could represent either the slant height or some other unknown dimension of the pyramid.

If "s" represents the slant height of the pyramid, we can use the Pythagorean theorem to find its value. The slant height, "s," is the hypotenuse of a right triangle formed by one of the triangular faces of the pyramid and the height and half the width of the base.

Using the given dimensions:

l = 30 (length of the base)

w = 20 (width of the base)

h = 28 (height of the pyramid)

Let's find the value of "s" using the Pythagorean theorem:

[tex]s^2 = h^2 + (w/2)^2\\s^2 = 28^2 + (20/2)^2\\s^2 = 28^2 + 10^2\\s^2 = 784 + 100\\s^2 = 884\\[/tex]

Now, take the square root of both sides to find the value of "s":

s ≈ √884

s ≈ 29.75 (rounded to two decimal places)

So, if "s" represents the slant height in the rectangular pyramid with dimensions l = 30, w = 20, and h = 28, then the length of "s" is approximately 29.75 units.

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Related Questions

If you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose

Answers

Answer: 1250 square feet!

Step-by-step explanation:

A (25)=25•(100-2•25)=25•50=1250 Sq Ft

If you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall, The largest area you can enclose will be 1250 sq Ft.

What is a rectangle?

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that if you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall.

Any rectangle's length and width differences must be as small as possible for the area to be maximized.

The largest area you can enclose

A =25×(100-2•25)

A=25•50

A=1250 Sq Ft

Thus, if you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall, The largest area you can enclose will be 1250 sq Ft.

Learn more about the rectangle here:

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hi there im giving brainliest to the most accurate answer.

Answers

Triangle b and c by AAA axiom because all angles are equal

f(x)=−2x+3; Domain: {−1,0,2}

Find the range of the function for the given domain.

Answers

Answer:

Range: 1,3,7

Step-by-step explanation:

(-1,1),(0,3),(2,7)

2(-1)+3

2(0)+3

2(2)+3

jill has a small treasure box

Answers

jill has a small treasure box
=small treasure box in possession of jill

a manufacturer wishes to recieve $4800 for a batch of items. when 1200 items were found to be defective, the selling cost per item increased by $0.20. how many items were manufactured.

Answers

Answer:

Abput 12000 items were produced yes and i think it is nice that yk like yes

Step-by-step explanation:

12) Write the equation of a rational function
Vertical asymptote at x = 0 and x = -1
Horizontal asymptote at y = -4
Hole at x = 12
X-intercepts at x = 5, x=-7 L

Answers

Answer:

[tex] \frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)} [/tex]

Step-by-step explanation:

A rational function is

[tex] \frac{p(x)}{q(x)} [/tex]

where q(x) doesn't equal zero.

If p is a asymptote, or hole at that value, then we will use

[tex](x - p)[/tex]

Step 1: We have asymptote as 0 and -1 so our denomiator will include

[tex](x - 0)(x - ( - 1)[/tex]

Which is

[tex](x)(x + 1)[/tex]

So our denomator so far is

[tex] \frac{p(x)}{x(x + 1)} [/tex]

Step 2: Find Holes.

Since 12 is the value of the hole,

[tex](x - 12)[/tex]

is a the binomial.

This will be both on the numerator and denomator so qe have

[tex] \frac{(x - 12)}{x(x + 1)(x - 12)} [/tex]

Step 3: Put the x intercepts in the numerator.

Since 5 and -7 is the intercepts,

[tex] \frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)} [/tex]

Step 4: Horinzontal Asymptotes,

Multiply the numerator and denomiator out fully,

[tex] \frac{ {x}^{3} - 10 {x}^{2} - 59x + 420 }{ {x}^{3} - 12 {x}^{2} + x - 12} [/tex]

Take a L

look at the coefficients,

Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.

Multiply the numerator by 4.

[tex] \frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)} [/tex]

Above is the function,

Find the area of the triangle.
16 ft
20 ft


Please help

Answers

The answers would be 320ft. Squared
Assuming 16 is the length and 20 is the width the answer would be 160 because the equation for the area of a triangle is ((l x w) / 2)

HELLPPPP REALLLLYYY NEEDDD
THISS ANSWER

Answers

Answer:

we need a picture to help

Step-by-step explanation:

Answer:

what is the question man stop messing around

Susan has a collection of 44 nickels and dimes. If the number of nickels is three times the number of​ dimes, how many nickels and how many dimes does she​ have?

Answers

Answer:

33 nickels and 11 dimes

Step-by-step explanation:

11*3= 33

11 + 33 = 44

Kyle lives in a state that has a 6% (or 0.06) sales tax. If c represents the cost of an item and t represents the sales tax on the item, which equation expresses the relationship between these two variables?
Group of answer choices

t = 6c

t = 0.6c

t = 0.06c

t = c + 0.06

Answers

Answer:

The answer is the 3rd option

t = 0.06c

Answer:

t = 0.06c

Step-by-step explanation:

The quotient of w and 7 is less than 17.

Answers

Answer:

17 < w / 7 is my answer. I am not sure to correct.

Carly is in charge of bringing juice for the class party. Her class has 24 students and 1 teacher. She estimates that each person will drink 400 milliliters of juice. To make sure she has enough, she also wants to bring an extra liter of juice. How many liters of juice should Carly bring in all?

Answers

Answer:

10,000

Step-by-step explanation:

if it's including the teacher then it should be 10,000

please help! What is 75 % of 62-(98/4)

Answers

Answer:

28.13

Step-by-step explanation:

62 - (98/4)

62 - 24.5 = 37.5

75% of 37.5 is 28.125, or 28.13.

Answer:

22

Step-by-step explanation:

98/4 = 24.5

62-24.5 = 37.5

75% of 37.5

= about 22

Tony works 25 hours per week. His take home pay is $19.20 per hour. If Tony is able to save all of his earnings, how
long will it take him to save at least $5760? Show your work.

Answers

Answer:

He'll have to work for 12 weeks.

Step-by-step explanation:

19.20×25=480.00(how much he earns in a week)

5760/480=12

Which phrase best describes the relationship indicated by the scatter plot? A. Constant correlation B. negative correlation C. Positive correlation D. no correlation

Answers

B. negative correlation

The 92 children who were asked when they took their first lesson

Answers

Answer:

I need more to solve!!

Have an amazing day!!

What is the outlier for the data set? PLS HELP I REALLY NEED HELP :(
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90

Answers

Answer:

6 3 5 6 8 8

Step-by-step explanation:

number is farthest apart from others

Answer:

The correct answer is 90

Step-by-step explanation:

90 is the biggest number in the number set so therefore it is an outlier.

Have an amazing day!!

Please rate and mark brainliest!!

Carl is arranging 86 chairs for a
dinner party. Carl places 5 chairs at
each table. Any remaining chairs will
be set aside. How many tables will
have 5 chairs?

Answers

||17 tables|| will have 5 chairs because 86 divided by 5 is 17.2 so 17 tables with 5 in total

Can anyone help me on this question?

Answers

n= 35 because 145x2=290. That leaves 70 left for 360 and you divide 70 by 2 to get 35. So, n is 35

Which is the equation of the line with slope 3 that contains point (-1,5)?


y-1 = 3(x + 5)
y - 1 = 3(x - 5)
y - 5= 3(x - 1)
y - 5= 3(x + 1)

Answers

the answer is y-5=3(x+1)

Answer:

D

[tex]y-5=3(x+1)[/tex]

Step-by-step explanation:

We can see that the question is asking for the Point-Slope Form;

[tex]y-y_{1} =m(x-x_{1})[/tex]

The points go into the equation for [tex]y_{1}[/tex] and [tex]x_{1}[/tex]

[tex]y-5=m[x-(-1)][/tex]

M would be the slope;

[tex]y-5=3[x-(-1)][/tex]

Which basically is:

[tex]y-5=3(x+1)[/tex]

These numbers are multiples of __________.
4, 8, 16, 24
A) 3
B) 4
C) 5
D) 6

Answers

Answer:

4

Step-by-step explanation:

All these numbers multiply by 4

Answer:

The answer is B.

Step-by-step explanation:

4÷4=1

8÷4=2

16÷4=4

24÷4=6


Find the equation of the tangent to the circle x2 + y2 = 109 at point (-10,3)

Answers

Answer:

10x - 3y = -109 .

Step-by-step explanation:

x^2 + y^2 = 109

Implicit Differentiation:

2x + 2y.y' = 0

y' = -2x/2y = -x/y

So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.

Equation of the tangent:

y - y1 = m(x - x1)

y - 3 = 10/3(x + 10)

y - 3 = 10/3 x + 100/3

3y - 9 = 10x + 100

-109 + 3y = 10x

10x - 3y = -109  

What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answers

Answer:13.1

Step-by-step explanation:

Area equation:S=[tex]S=\frac{1}{2} ab sinθ[/tex]

A trough contains a certain amount of sand. After Jamie used it to fill 2.4-kilogram bag, a 650- gram bowl, and a 3-kilogram, 125- gram pail, she realized she had a kilogram of sand left in the trough. How much sand was in the trough at first?Give your answer in grams, using a comma.

Explain how you got your answer

Answers

Answer:

7kg  275g

Step-by-step explanation:

hope this helps

Answer:

7kg 275g

Step-by-step explanation:

Add all of them together and then add what's left. Hope this helps! :)

please help
cos40∘=sin(x+30∘)​

Answers

Answer:

x = 20 degrees.

Step-by-step explanation:

cos40∘=sin(x+30∘)​

sin (x + 30) = 0.766

x + 30 = arcsin 0.766 = 50

x = 50 - 30 = 20.

Answer:

x = 20

Step-by-step explanation:

cos(angle) = sin(complement of angle) , then

cos40 = sin(90 - 40) = sin50 , then

sin(x + 30) = sin50 , that is

x + 30 = 50 ( subtract 30 from both sides )

x = 20

Hey ! Can anyone help me solve these problems please. Thank you !

Answers

The answer to solve these problems is that the full circle is 360 degrees, the way to find the answer is to have to equal sides that equal 360 degrees. That means one half of 360 degrees is 180 degrees. Hope this helps.

The price of a used car that Billy is buying is $5,000. If he has to pay 8% in taxes, how much will be have to pay for the car including taxes?

Answers

Answer:

5400

Step-by-step explanation:

8% of 5000 is 400. 5000 + 400 - 5400.

Answer:

$5400

Step-by-step explanation:

We need to find the amount of tax in $

So, if 100% = $5000

           8%   =  ?

cross multiply to be :  8 × 5000

                                        100

to get $400

Add it to the $5000 to get $5400

Reflect the given triangle over
the x-axis.
[_
3 6 31
-3 3 3.
3 [?]
13
UD
[

Answers

[3 6 3]

( 3 3. 3]

THIS ANSWER IS CORRECT

Solution:

[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]

Explanation:

[tex]\sf \left[\begin{array}{ccc}3&6&3\\-3&3&3\\\end{array}\right][/tex]

The rule for a reflection over the x -axis is (x,y) → (x,−y)

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

or multiply the matrix with:      [tex]\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right][/tex]

[tex]\dashrightarrow \ \sf \begin{pmatrix}1\cdot \:3+0\cdot \left(-3\right)&1\cdot \:6+0\cdot \:3&1\cdot \:3+0\cdot \:3\\ 0\cdot \:3+\left(-1\right)\left(-3\right)&0\cdot \:6+\left(-1\right)\cdot \:3&0\cdot \:3+\left(-1\right)\cdot \:3\end{pmatrix}[/tex]

Final answer:

[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]

If the mean of a standardized test with a normal distribution is 54.3 and the standard deviation is 4.6. what is the best approximation of the percent of the scores
that fall between 54.3 and 63.5?
A 34
B 47.5
C 68
D 95

Answers

Answer:

A

Step-by-step explanation:

If the mean of a standardized test with a normal distribution is 54.3 and the standard deviation is 4.6. what is the best approximation of the percent of the scores

that fall between 54.3 and 63.5?

You need 3 sticks of butter for every 24 giant cookies you bake.

Answers

Answer:

Sticks of butter : 2

Number of cookies : 40

Step-by-step explanation:

Given that :You need 3 sticks of butter for every 24 giant cookies you bake.

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

Sticks of butter                    Number of cookies

 3                                           24

 x                                             16

5                                                 y

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

Let the unknown be x and y..

Since you need 3 sticks of butter for every 24 giant cookies you back

Then 24/3 = 8

Since the number of cookies is 16 then 16/8 = 2

Thus x = 2

Next for y.

Since you need 3 sticks of butter for every 24 giant cookies you back

Then 5 * 8 = 40

Thus, y = 40

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

Completed table below:

Sticks of butter                    Number of cookies

 3                                           24

 2                                             16

5                                                 40

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

~lenvy~

Answer:

See below ↓

Step-by-step explanation:

Given

You need 3 sticks of butter for every 24 cookies

Base rate

no. of butter sticks / no. of cookies3 / 241 stick of butter for every 8 cookies

16 cookies

No. of sticks = 16/8No. of butter sticks = 2

5 butter sticks

No. of cookies = 8 x 5No. of cookies = 40
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