In shop class, Adriana makes a pyramid with a 4-inch square base and a height of 6 inches. She then cuts the pyramid vertically in half as shown. What is the area of each cut surface?

Answers

Answer 1

The area of the square pyramid is the amount of space on it

The total surface area of each cut surface is 33.28 square inches

How to determine the surface area of each cut surface?

The given parameters are:

Base (b) = 4 cm

Height (h) = 6 cm

Start by calculating the slant height (l) using:

l = √((4/2)^2 + 6^2)

l = 6.32

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * 4 * 6.32

Evaluate the product

L = 50.56

The total surface area is calculated using:

T = L + b^2

So, we have:

T = 50.56 + 4^2

Evaluate

T = 66.56

Divide the total surface area by 2

T/2 = 33.28

Hence, the total surface area of each cut surface is 33.28 square inches

Read more about areas at:

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Related Questions

Adrian is 3 times as old as Anisah now. 4 years ago,Adrian was 28 years older than Anisah . How old will Anisah be in years' time?

Answers

Lets have Anisah be x right now.

4 years ago, Adrian was (x-4) + 28 = x+24
Right now, Adrian is 3x.

Knowing those two pieces of information, we can say that x+24 is equal to 3x-4. (This is because Adrian is 3x right now, and for 4 years ago, you subtract 4.)

x+24=3x-4
24=2x-4
28=2x
x=14

Right now Anisah is 14, and in 4 years he will be 14+4 = 18.

If the diameter of a circle is 10 inches, what is the area of a circle?

Answers

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

because area is pi r^2

Answer:

78.54 or 25π (if in terms of pi)

Step-by-step explanation:

A = πr² = π*5² ≈ 78.53982

a baby weights 7 pounds at birth. the table shows the birth weight after each month of life, up to six months​

Answers

Answer:

y = 1x + 7

Step-by-step explanation:

Let's take 2 points, with x being the month and y being the weight as the month is listed first in the graph.  

(0, 7) = the 1st point

(1, 8) = the 2nd point

In y=mx+b, m is the slope.

Slope = change in y / change in x = (y₂-y₁) /(x₂-x₁) = (y₁-y₂) / (x₁-x₂) = (8-7)/(1-0) = 1 / 1 = 1 = (7-8)/(0-1) = -1/-1 = 1

Our equation is thus

y = mx + b = y = (1) x + b

Plug one point, such as (1, 8) into this equation to obtain b

8 = (1) (1) + b

8 = 1 + b

subtract 1 from both sides to isolate b

7 = b

our equation is thus

y = (1) x + 7 = 1x + 7

Answer:

w = 1m + 7

Step-by-step explanation:

w = weight

m = months

If we look at the chart, as every month goes by, the baby gains another pound.


Hence, the best way to find the weight is to just add 7 to the months, since in the beginning (at 0 months) the weighs 7 pounds, so if it’s 1 month, the baby would just way 1 more pound.

This is why the formula: w = 1m + 7 works

Because 1 times the value of any month will be the same value, and all you have to do is add 7.

Example:

(x = multiply in this equation)

At 2 months: w = 1 x 2 + 7

Solve:

1 x 2 = 2

2 + 7 = 9


As you can see, all you have to do is fill in the month # in the formula, and you will get your  w (weight).

Hope this helps :)

HELP PLEASE ITS DUE TODAY

Answers

3rd option.

The Sun appears so large compared to the other stars because it is so much closer to us than any other star. The Sun is just an average sized star.

Calculate the determinant of this matrix:
What is the first step?

Step 1: Augment the matrix by copying columns 1 and 2 to the right of the matrix

Step 2: Find the products along the main diagonals
d1= 4
d2= 0
d3= 3

Step 3: Find the products of the minor diagonals
e1= 0
e2= 16
e3= 2

Step 4; Perform the final calculation

d1+d2+d3-e1-e2-e3= -11

(Got them all right on edge 2022)

Answers

Why did you ask this, but also answer it?- Lol thank you for the points though I guess...

Answer:

thank you they are all correct!

Step-by-step explanation:

Find five numbers so that the mean, median, mode and range is 4.

Answers

Answer:

Let’s break this apart

Well we know the median has to be 4

Since it’s 5 numbers the middle number has to be 4 since its the median.

Let’s put in what we know.

a, b, 4, d, e

Constraints:

There has to be more then 1 “4”.

e-a = 4

So using that information lets solve since the possibility is almost endless

SO lets make e 5 and a 1.

1, b, 4, d, 5

There has to be more then 1 4 so lets put that as b.

We can solve for the last remaining digits.

1+ 4 + 4 + d + 5 / 5 = 4

14 + d /5 = 4

2.2 + d = 4

1.8 = d

So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.

1, 1.8, 4, 4, 5

Thats your 5 numbers right there.

Check:

Mode is 4: yes!

Range is 4: 5-1 = 4 yes!

Median is 4: yes!

Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!

Every thing checks out.

There could be a lot of possibilities.

For example take this wrong one

Lets make the same exact thing except change the a and the e.

THis is what we have,

a, b, 4, d, e

Lets make e and a as 6 and 2.  6-2 is still 4 so its possible.

2, b, 4, d, 6

And of course we need more then 1 4 so lets make d 4.

2, b, 4, 4, 6

Now solve for b in the mean.

2 + b + 4 + 4 + 6  / 5 = 4

16 +b /5 = 4

3.2 + b = 4

Solve

B = 0.8

This doesn’t work cause the median and the range has constraint here…

When doing a median, it has to be in ORDER.

2, 0.8, 4, 4 , 6 isn’t in order

ANd even when put in order.

0.8, 2, 4, 4, 6

THe range has the constraint here becuase 6 - 0.8 isn’t 4.

Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.

What’s the minimum number of people you have to ask?
>> One person
>> Two people
>> Three people
>> Four people

Which people do you ask?
>> Anne
>> Bob
>> Charlie
>> Daniel

Answers

Two people, Anne and Charlie.

Statistics

Given that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:

Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.

Learn more about statistics in brainly.com/question/8058700

1. y= x+ 12 Y= -18
2. y = x — 10 y=-12

Answers

Answer:

1) x=-30 2) x=-2

Step-by-step explanation:

1) y=x+12.      

   Y= -18

x+12=-18

x=-18-12

x=-30

2) y=x-10

    y= -12

x-10=-12

x=-12+10

x=-2


B
45°
71°
E
27°
A
D
11. What is mBAC

Answers

Answer:THE ANSWER IS B MY GUY

Step-by-step explanation:

(4a^2/3 b^1/2)(2a^1/3 b^3/2)

Answers

Answer:

8ab^2

Step-by-step explanation:

(4a^2/3 x 2a^1/3)(b^1/2 x b^3/2)

8a^(2/3+1/3) x b^(1/2+3/2) = 8a^1 x b^2

Leo is testing different types of greenhouse material to determine which type is most effective for growing strawberry bushes. He purchases two different brands of tarps from a local store. Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. He waters both areas daily. At the end of the study, Leo concludes brand A is more effective in growing strawberry bushes. Is Leo's conclusion valid? please explain how and why so I can understand

Answers

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

What is bias?

Bias is an error due to sampling or testing by selecting or preferring one outcome over others.

Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. This shows that Leo is bias.

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

Find out more on bias at: https://brainly.com/question/24491228

Answer:

His conclusion is not valid. 

He should have put both tarps over the area of the yard that receives full sunlight. So that the experiment can be valid.

Step-by-step explanation:

can anyone pls answer dis math problem

Answers

Answer:

the answer would be  3x^2 + 29x + 6/15x(x+2)

Describe and correct the error in using the percent proportion to answer the question below
“6 is 6.25% of what number”

Answers

Using proportions, it is found that the error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that 100% = 1 of the number is w, while 6 is equals to 6.25% = 0.0625. Hence the rule of three is given by:

1 - w

0.0625 - 6

Applying cross multiplication:

0.0625w = 6.

w = 6/0.0625

w = 96.

The error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.

More can be learned about proportions at https://brainly.com/question/24372153

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

180-135=45

Step-by-step explanation:

the angles should total 360.

the opposite angle R is 135 and is equal to P

S is equal to Q so that can help

How many cubes with the side lengths of 1/2 cm does it take to fill the prism? 1 x 2 x 3/2 as the measurements.

Answers

Answer:

24

Step-by-step explanation:

Volume to fill =  1 x 2 x 3/2 = 3  cm^3

Volume of cube to fill this volume  1/2 * 1/2 * 1/2 = 1/8 cm^3

3/ (1/8) = 24

Find the domain & range of the relation

{(-5,13), (6,18), (2,-7), (1,4), (-3,-1)}

Answers

Answer:

Domain: -5,6,2,1,-3

Range: 13,18,-7,4,-1

Step-by-step explanation:

Domain is the independent value/ x / input

Range is the dependent value/ y / output

Write an equation of the line in the slope-intercept form from each of the following. the y-intercept of 2, the slope is 4

Answers

Answer:

y=4x+2

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 2, and a slope of 4

We want to write the equation of that line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.

First, substitute 2 as the y intercept (b)

y=mx+2

Now substitute 4 as the slope (m)

y=4x+2

We have found the equation of the line.

Hope this helps!


See more on this subject here: https://brainly.com/question/12232875

You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the refurbished computer?



answer choices:
98 hours

89 hours

111 hours

Answers

Total earnimgs per hour=10$

After deduction

Percentage=7.65+8+12=27.65%

Total earnings

10-27.65%×1010-0.2765(10)10-2.7657.335$

Total hours:-

640/7.33587.25

Approximately 89 hours

HELP ME OUT PLS!!!!!

Solve for x.

A) -30

B) -6

C) 6

D) 30​

Answers

Step-by-step explanation:

-3x + 6 = 2x - 24

6 = 5x - 24

30 = 5x

x = 6

8. Rita looks at the floor plan of a room that was drawn with scale factor 1 inch equals 4 feet. She multiplied the perimeter of the drawing by four and ordered that many feet of molding. She multiplied the area of the drawing by four and ordered that many square feet of carpeting. When the orders arrived, Rita had enough molding, but the carpet covered only of the room. Explain the error.

Answers

Pain au chocolat 15 point rooom

help and walk me thru pleasee

Answers

Answer:

Your answer is 63

Step-by-step explanation:

First lets find the area of the rectangle:

To find the area of a rectangle your multiply the length by the width.  In this case it is 5 and 9 so..

5 x 9 = 45

Now to find the area of the triangle:

Formula for triangle: 1/2(bh)

9 is your height to find the base subtract 5 from 9:

9 - 5 = 4

Now divide that by 2:

4 / 2 = 2

2 is your base

Now we know the base and height solve:

1/2(2 x 9)

1/2(18)

18 / 2 = 9

multiply 9 by 2

9 x 2 = 18

Now add your areas to find the final area:

45 + 18 = 63

Find the area of the parallelogram.
3 cm
5 cm

Answers

Answer:

Area = Base ×Height

Step-by-step explanation:

Area = Base × Height

Area = 3cm × 5cm

Area = 15cm

Area of the parrallelogram is 15cm

a prize is divided in the rayio 1:4. if the larger share is £96 what is the total prize

Answers

Answer:

£120

Step-by-step explanation:

96 divided by 4=£24

1=£24

24+96=120

Ciara, an ornithologist, has 444 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 350350350 recent visits. Here are the results: Feeder \#1#1\#, 1 \#2#2\#, 2 \#3#3\#, 3 \#4#4\#, 4 Observed visits 808080 909090 929292 888888 Ciara wants to perform a \chi^2χ 2 \chi, squared goodness-of-fit test to determine if these results suggest that birds visit one specific feeder more often than the other feeders. What is the expected count of visits to the third feeder? You may round your answer to the nearest hundredth.

Answers

The expected count of visits is the mean or average visits to each feeder

The expected count of visits to the third feeder is 87.5

How to determine the expected count of visit?

The table of values is given as:

Feeder                 1   2    3   4

Observed visits 80 90 92 88

In this case, the null hypothesis implies that the visits to each feeder are uniformly distributed

So, the expected count is calculated using:

Expected count =Visits/Feeders

This gives

Expected count = 350/4

Evaluate the quotient

Expected count = 87.50

Hence, the expected count of visits to the third feeder is 87.5

Read more about chi square goodness of fit test at:

https://brainly.com/question/4543358

College algebra chapter 3

Answers

Equation given:  [tex]S = 16t^2[/tex]

S: distance fallen  --> 1279 ftt: time taken for the distance fallen

Solve:

   [tex]S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9[/tex]

Thus it took 8 seconds for the thing to fall from the top

Hope that helps!

ik it's a bit Blurry but Can someone help me Please best answer will be brainliest<33​

Answers

The answer to this question is A

I need help with this ​

Answers

Answer:

104

Step-by-step explanation:

8x3=24 then you carry over the 2 and 8x1=8 and 8+2=10 so the awnser is 104

in the lab, Kareem has two solutions that contain alcohol and is mixing them with each other. Solution A is 2% alcohol and Solution B is 7% alcohol. He uses 1200 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 4% alcohol solution?

Answers

Answer:

800ml

Step-by-step explanation:

solution A= 2% alcohol

solution B=7% alcohol

1200ml=1.2L

1200ml=1200cm^3

X= solution B

solution A + solution B=(1200+x)cm^3

% alcohol= amount of alcohol/total solution(AorB)×100

☆in 1200ml of solution A there's

0.02x1200

2x12

=24ml of alcohol (in 1200ml of solution A)

0.07x X

=0.07Xml of alcohol (in some ml of solution B)

(24+0.07X)ml of alcohol in = solution A and solution B

solution A + solution B= 1200+X

0.04 (1200+X)=24+0.07X

48+0.04X=24+0.07X

48-24=0.07X-0.04X

24=0.03X

X=800ml

3/5 of Tom's favorite number is 60. what is tom's favorite number

Answers

Answer:

100

Step-by-step explanation:

its saying 60% of his favorite number is 60

because the numbers are the same that means the number must be 100

On a circular playground, the distance from its center to the edge of the playground is 36 feet. What is the approximate circumference of the playground? (Use 3.14 for .)
A.
113.04 ft
B.
226.08 ft
C.
4,069.44 ft
D.
16,277.76 ft

Answers

Answer:

[tex]\fbox{\fbox{Circumference = 226.08 feet}}[/tex]

Step-by-step explanation:

Given:

distance from center to the edge(Radius) of playground = 36 feet

To find:

Circumference of playground=?

Solution:

we know that,

Circumference of circle = 2πr

substituting the radius value in above formula,

[tex]2 \pi r = 2 \times 3.14 \times 36 = 226.08 \: ft[/tex]

[tex]\fbox{\fbox{Circumference = 226.08 feet}}[/tex]

Thanks for joining brainly community!

Answer: 226.08ft

Step-by-step explanation: we are finding the circumference of a circle so we will make 3.14 times 2 times 36 as it is a radius I think .

3.14 ×2×36=226.08 and the units is feet . Hope it helps buddy

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