please help!!!!!!!!!!!!!!!

Please Help!!!!!!!!!!!!!!!

Answers

Answer 1

Answer:

There are 8 oz of soup per can  :  True

In 8 cans, there are 21 oz of soup  : False

There are 2 oz of soup in 16 cans  : False

In 1/8 of a can, there is 1 oz of soup  : True

Step-by-step explanation:

To start, we know we have 168 oz of soup and 21 cans that are all the same size. To find how much is each can, (We know that they will all have the same amount since it says equally sized cans.) we can simply divide the amount we have of soup in oz by the amount of cans we have.

168 / 21 = 8.

This means that all the cans will be filled with 8 oz of soup. Making the first statement true.

Since there are 8 oz in each can, we can do 8 cans * 8 oz to find how many oz are in 8 cans of soup.

8 * 8 = 64 oz.

There are 64 oz of soup in 8 cans. Making the second statement false.

Now again, since there are 8 oz in each can, we can do 16 cans * 8 oz to find how many oz are in 16 cans of soup.

16 * 8 = 128 oz.

There are 128 oz of soup in 16 cans. Making the third statement false.

For the last question, to find 1/8 of a can of soup, we can take 8 oz (8 oz in one can) and divide it by 8.

8/8 = 1

Meaning 1/8 of a can of soup is 1 oz of soup. Making the fourth statement true.


Related Questions

A right cylinder is sliced perpendicular to it's base. What is the shape of the resulting two dimensional cross section?

Answers

it would beA rectangle

Identify the domain of the following rational expression:
7x/3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.

Answers

Answer: D

Step-by-step explanation:

The domain of a function is the allowed 'x' values that the function can take on and produce a defined 'y' value. We can ignore the numerator since it will never be undefined. The denominator on the other hand has a singularity when it equals zero. The reason for this is because we cannot divide by zero. Therefore, lets set the denominator to zero and find which 'x' value makes the function undefined:

[tex]3x+15=0[/tex]

[tex]3x=-15[/tex]

[tex]x=-5[/tex]

Every single real 'x' value will work besides when x = -5. Therefore the answer is D

20 POINTS AND WILL GIVE BRAINLIEST
Use the function f(x) = 2x2 − 5x + 3 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)

Answers

Answer:

x=5/7

Step-by-step explanation:

=2×2-5x+3 =4-5x+3 5x=4+3 5x=7 divide 5 both side with make value of x x=5/7 is my answer of part A.

40% of the students ordered a year book there were 400 students.how many students ordered a yearbook.

Answers

400 divided by .40. the answer is 160

160 students ordered a yearbook.

Step-by-step explanation:

Batman, cross multiply 400×40 then divide by 100 and you get your answer.

MARKING BRAINLIEST What is the domain of y=0

Answers

Answer:

The answer is all real numbers :)

Step-by-step explanation:

he domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=0 is a straight line perpendicular to the y-axis at point (0,0) , which means that the range is a set of one value. :)

Have an amazing day!!

Please rate and mark brainliest!!

1) Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?



2) Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?



3) Carmen is trying to decide which jet ski rental plan to use. Plan A charges a one-time fee of $40 and $25 per hour. Plan B charges a one-time fee of $60 and $15 per hour. After how many hours will the plans cost the same?



4) Julie and Wendi purchased cell phones. Julie’s phone cost $50 and she pays $0.35 per minute. Wendi’s phone cost $70 and she pays $0.15 per minute. After how many minutes of use will Julie’s phone cost more than Wendi’s?



5) 78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?



6) 168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?



7) Christina spent $81.25 on books. Comic books cost $2.25 each and novels cost $7.00 each. If she bought 15 books, how many comic books did she buy?


8) Tina bought 8 pieces of clothing for a total of $164. Jeans cost $22 each and shirts cost $18 each. How many shirts did Tina buy?


9) Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?




10) Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?

What you need to do:

Please WRITE both equations for each problem, identify what your variables represent, and solve the system.

I don’t know what to do, so please help me understand by explaining how you got the answer.
I WANT TO LEARN FROM YOU! :)
- Will give BRAINLIEST -


Don’t answer if you are just going to put a link.

Answers

Hey there

Question no.1:

Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?

Solution:

Let the cost of one apple be "y" and the cost of one orange be "x".

Here,

According to question,

8x + 7y = $10.20 5x + 14y = $12.15

=> 5(8x + 7y) = 10.20 × 5 => 8(5x + 14y) = 12.15*8

=> 40x + 35y = 51 -->(i) => 40x + 112y = 97.2-->(ii)

By Elimination method,

Equation (i) - (ii)

(40x + 35y) - (40x + 112y) = 51 - 97.2

=> 40x + 35y - 40x - 112y = - 46.2

=> - 77y = - 46.2

=> y = 46.2/77

=> y = 0.6

Putting the value of "y" in equation (i) we get,

40x + 35y = 51

=> 40x + 35 × 0.6 = 51

=> 40x + 21 = 51

=> 40x = 51 - 21

=> 40x = 30

=> x = 0.75

Therefore the cost of one orange is $0.75 and the cost of one apple is $ 0.6.

Question no.2:

Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?

Solution:

Let the cost of a small box be "x" and the cost of a large box be "y".

Here,

According to question,

2x + 5y = $31 4x + 7y = $47

4(2x + 5y) = 31 × 4 2(4x + 7y) = 47 × 2

=> 8x + 20y = 124 ->(i) => 8x + 14y = 94 ->(ii)

By Elimination method,

Equation (i) - (ii)

(8x + 20y) - (8x + 14y) = 124 - 94

=> 8x + 20y - 8x - 14y = 30

=> 6y = 30

=> y = 30/6

=> y = 5

Putting the value of "y" in Equation (ii) we get,

8x + 14y = 94

=> 8x + 14 × 5 = 94

=> 8x + 70 = 94

=> 8x = 94 - 70

=> 8x = 24

=> x = 24/8

=> x = 3

Therefore, the cost of a small box is $3 and the cost of a large box is $5.

NO LINKS!!! Please help me. Part 3​

Answers

Answer:

ST = 63

HI = 28

IJ = 21

Step-by-step explanation:

Given:  RSTUV ~ JFGHI

From inspection of the diagram, the corresponding sides are:

RS~JF

ST~FG

TU~GH

UV~HI

VR~IJ

The only pair of sides that both have side lengths are TU and GH. Therefore, we can use these to figure out the scale factor of dilation.

TU = 72   and   GH = 56

⇒ TU/GH = 72/56 = 9/7

Therefore, RSTUV is an enlargement of JFGHI by a scale factor of 9/7

If FG = 49

⇒ ST = 49 × 9/7 = 63

If UV = 36

⇒ HI = 36 ÷ 9/7 = 28

If VR = 27

⇒ IJ = 27 ÷ 9/7 = 21

Answer:

ST = 63, HI = 28, IJ = 21

Step-by-step explanation:

Step 1:  Determine the scale

UT = 72 and HG = 56

[tex]72 / 56 = 9/7[/tex]

Step 2:  Determine ST

We can determine ST by multipliying GF by 9/7 which will give us the upscaled ratio which will produce ST.

[tex]ST = GF * 9/7[/tex]

[tex]ST = 49 * 9/7[/tex]

[tex]ST = 63[/tex]

Step 3:  Determine HI

We can determine ST by dividng VU by 9/7 which will give us the upscaled ratio which will produce ST.

[tex]HI = VU / (9/7)[/tex]

[tex]HI = 36 / (9/7)[/tex]

[tex]HI = 28[/tex]

Step 4:  Determine IJ

We can determine IJ by dividng RV by 9/7 which will give us the upscaled ratio which will produce IJ.

[tex]IJ = RV / (9/7)[/tex]

[tex]IJ = 27 / (9/7)[/tex]

[tex]IJ = 21[/tex]

Answer: ST = 63, HI = 28, IJ = 21

Please help me I need help
An accounting firm wants to know how many tax payers will wait until the last day to file their taxes. A group of 1000 tax filers were randomly surveyed, revealing that 100 of them said it was likely that they would not file until the last day. Based on this information, a 95% confidence statement indicated that the percentage of tax filers who would file on the last day was estimated to be between 8% and 12% of all tax filers. In this problem, which of the following is the margin of error?


a 1%

b 2%

c 3%

d 4%



If random samples are selected from a population, what happens to the margin of error if the sample size is increased from 100 to 400?

a the margin of error increases

b the margin of error decreases

c the margin of error stays the same

Answers

Using confidence interval concepts, it is found that:

The margin of error is of b) 2%.Increasing the sample size, b) the margin of error decreases.

What is the margin of error of a confidence interval and how it relates to the sample size?

Given a confidence interval with two bounds a and b, the margin of error is half the difference of the two bounds.

So, for an interval that is (8%, 12%), the margin of error is given by:

M = (12 - 8)/2 = 2%.

Which means that for the first question, option B is correct.

Additionally, an increase in the sample size results in a decrease of the margin of error, which means that for the second question, option B is also correct.

More can be learned about confidence interval concepts at https://brainly.com/question/25890103

Say that Australia has a working population of 11,565,470 people, and that the average salary is $26.450
annually. How much tax revenue would Australia generate each year by instituting a 31.4% income tax?
a $81,528,467,671
b. $90,224,333,274
c$96.054,697.991
d $209,851,983,509


Answers

Answer:The tax revenue Australia would generate each year is $96,054,697,991.

What is the percentage?

The percentage is the value per hundred.

Working population of Australia =  11,565,470 people

Annual average salary = $26,450

Income tax rate = 31.4%

Tax revenue generated by each resident = 26450*(31.4/100)

Tax revenue generated by each resident =$8305.3

So, Tax revenue generated by 11,565,470 residents =  11,565,470*8305.3

Tax revenue generated by 11,565,470 residents = $96,054,697,991

Therefore, the tax revenue Australia would generate each year is $96,054,697,991.

To get more about taxes visit:

brainly.com/question/509359

Step-by-step explanation:

a^3 b^2/a^-1 b^-3 please help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Hope the picture will help you.............

Shane has $15,000 property damage insurance and $4,000 comprehensive and collision insurance with a $500 deductible. He slides on ice and hits a parked car, causing $8,500 worth of damage. The accident causes $6,750 of damage to his own car. How much will the insurance pay to fix both cars?

Answers

If the accident causes $6,750 of damage to his own car. The amount that the insurance company will pay to fix both cars is $14,750.

Insurance coverage

Using this formula

Insurance coverage=Total cost of damages-Deductible

Where:

Total cost of damages=($8,500+$6,750)

Deductible=$500

Let plug in the formula

Insurance coverage=($8,500+$6,750)-$500

Insurance coverage=$15,250-$500

Insurance coverage=$14,750

Therefore the amount that the insurance company will pay to fix both cars is $14,750.

Learn more about insurance coverage here:https://brainly.com/question/11776206

Write the following number in scientific notatic
211.000
4.
Write 211,000 in scientific notation

Answers

Answer:

Hope this helped and brainliest please

Step-by-step explanation:

Scientific notation is standard form.

To write a number in standard form, we use the format:

a×10^b

where 1 ≤ a < 10

a would be 2.11 in this question.

As we can see the decimal point has move 5 places to be after 2 so our b value will be 5

Our answer will be :

2.11×10^5

Hope this helped and brainliest please

The quotient of a number, z, and 21 is 42.
Which equation and value of z represent this relationship?

Answers

The relation is given by the equation (z/21) = 42, then the value of the z will be 882.

What is the quotient?

The quotient means the separation of something into different parts, sharing of something among different people, places, etc.

The quotient of a number, z, and 21 is 42.

The relation can be given as

[tex]\rm \dfrac{z}{21} = 42[/tex]

Then the value of z will be

[tex]\rm z = 21 \times 42\\\\z = 882[/tex]

More about the quotient link is given below.

https://brainly.com/question/369266

Give an example of two different sets of data, in which both box plots have the same range and IQR and yet represent completely different data. Explain.

Answers

Answer:

set 1 and 2

Step-by-step explanation:

Set 1 has 10

Set 2 has 13

POSSIBLE POINTS
There are 160 employees who work for a company. The histogram summarizes the amount of
time each employee has been in his or her current position at the company.
Time at Current Position
45
40
35
30
Number of Employees
25
20
15
10
5
0
0-5
6-11
24-29 30-35
12-17 18-23
Time (months)

Answers

The true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months

How to interpret the histogram?

From the histogram (see attachment), we have the following highlights:

The x-axis represents the number of monthsThe y-axis represents the time spent by the employees

Using the above highlights, we can see that:

When x = 30 - 35, the value of y is

Hence, the true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months

Read more about histograms at:

https://brainly.com/question/9388601

A search plane carries radar equipment that can detect metal objects (like submarine periscopes or plane wreckage) on the ocean surface up to 15.5 miles away. If the plane completes a circular flight pattern of 471 miles in circumference, how much area will it search?

Answers

The area that the considered search plane searches with the given figures is 16957.42 miles² approximately.

How to find the area of a circle?

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex] sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units

How are radius and circumference of a circle related?

Suppose that a considered circle has:

Circumference = C unitsRadius = r units

Then, we get:

[tex]C = 2\pi r \: \rm units[/tex]

So, the radar scans the surface of ocean in a circular area with radius of 15.5 miles.

That circular area is itself moved in a circular path (due to circular motion of the plane with 471 miles circumference of the circular path).

The graph given describes the region of scan.

The blue region's area = Outer circle's area - Internal circle's area

The Internal circle has circumference 471 miles, let its radius be 'r' miles, then:

[tex]471 = 2\pi r\\\\r = \dfrac{471}{2\pi} \: \rm miles[/tex]

The outer circle has the radius = internal circle's radius + diameter of the radar circle =  [tex]\dfrac{471}{2\pi} + 2(15.5) =\dfrac{471}{2\pi} + 30 \: \rm miles[/tex]

Thus, we get:

Area of internal circle = [tex]\pi r^2 = \pi \times \left( \dfrac{471}{2\pi} \right)^2 \approx 17,653.56 \: \rm miles ^2[/tex]Area of outer circle = [tex]\pi \times \left( \dfrac{471}{2\pi} + 30 \right )^2 \approx 34610.98 \: \rm miles ^2[/tex]

Net area which is searched by the search plane ≈ 34610.98 - 17653.56 miles²

Net area which is searched by the search plane ≈ 16957.42 miles²

Thus, the area that the considered search plane searches with the given figures is 16957.42 miles² approximately.

Learn more about area of a circle here:

https://brainly.com/question/13004063

#SPJ1

You took one-third of an hour to walk home. How many minutes did you walk?
(Hint: An hour has 60 minutes.)
minutes

Answers

Answer:

20 minutes

Step-by-step explanation:

60÷3=20

Step 1 you divide 60 minutes by 1/3 which is gonna give you 20 mins

Answer:

20 min

Solution:We know that an hour has 60 minutes.In order to find one-third of a hour, we should divide 60 by 3:60÷3=20 min.So if you took one-third of an hour to walk home, you walked for 20 minutes.

Hope it helps.

Do comment if you have any query.

8 x 3/10 in simplest form

Answers

Answer:

Step-by-step explanation:

The bill is $250.79 You want to leave a 20% tip. How much should the tip be

Answers

Answer:

50 dollars

Step-by-step explanation:

Answer:

Ive got you! The answer is $50.15

Step-by-step explanation:

I used m##hway and put 20% of 250.79 so this is the answer!

2x +1
d A right-angled triangle is drawn so
that the hypotenuse is twice the
shortest side plus 1 cm, and the other
side is twice the shortest side less 1 cm.
Find the length of the hypotenuse.
2x-1

Answers

x = 8

If the hypotenuse = 2x + 1 and the shortest side = x and the other side = 2x - 1

Then we can substitute rose values into the Pythagorus Theorem (a squared plus b squared equals c squared which is the hypotenuse) to the equation in the diagram attached.

Then you just expand the brackets and simplify to get x. Hope that helps.
Answer:

Hypotenuse = 17cm

Step-by-step explanation:

From the question we have that,

It is a right-angled triangleThe shorter side's length is xThe hypotenuse's length is 2x + 1The other side's length is 2x - 1

Since this is a right-angled triangle, we can apply the Pythagoras formula:

[tex]H^{2} = C_{1}^{2} + C_{2}^{2}[/tex]

This says that the square of the hypotenuse is the sum of the square of the other sides.

From this, we can replace the variables with the actual values:

[tex](2x + 1)^{2} = (2x - 1)^{2} + x^{2}[/tex]

We can then expand the exponents to have:

[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}[/tex]

We can proceed to isolate x:

[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}\\\\4x^{2} + 4x + 1 = 5x^{2} - 4x + 1\\\\4x^{2} + 4x + 1 - 5x^{2} = - 4x + 1\\\\- x^{2} + 4x + 1 = - 4x + 1\\\\- x^{2} + 4x + 1 + 4x = 1\\\\- x^{2} + 8x + 1 = 1\\\\- x^{2} + 8x = 1 - 1\\\\- x^{2} + 8x = 0\\\\[/tex]

We can now multiply the whole equation by -1 just to have a positive [tex]x^{2}[/tex]:

[tex]x^{2} - 8x = 0[/tex]

And we can now solve it using Bhaskara:

[tex]x = \frac{-b\ \pm \sqrt{b^{2} - 4ac }}{2a}[/tex]

Replacing out values, we've got:

[tex]a = 1\\b = -8\\c = 0\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 4*1*0 }}{2*1}\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 0 }}{2}\\x = \frac{8\ \pm \ 8}{2}\\x = 0\ or\ x = 8[/tex]

Since x can't be 0 because we're talking about a drawn triangle, x can only be 8.

We can then calculate the hypotenuse based on this value:

[tex]Hypotenuse = 2x + 1\\Hypotenuse = 2*8 + 1\\Hypotenuse = 17[/tex]

100 POINTS AND WILL GIVE BRAINLIEST IF IT INCLUDES STEPS

Create and solve a multi-step equation word problem that includes at least THREE STEPS (three or more mathematical operations), that will have a final answer of 12. THE EQUATION MUST INCLUDE A VARIABLE

Answers

Zeirah has 3 times more apples than Riya, in total they have 48 apples

consider Riya has x apples

Let the equation be:

3(x) + x = 4 * 124(x) = 48x = 48/4x = 12

→ so Riya has 12 apples and Zeirah has [3(12)] = 36 apples

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

contains the mathematical operations:

division ( / )multiplication ( * )addition ( + )

PLEASE WILL SOMEBODY HELP ME

Answers

Most likely crowded lunchroom

Answer:

Pic 1: C.

Pic 2: D.

Step-by-step explanation:

1) The sample is the number of things picked out from a population. The amount of people surveyed is the sample, so it the answer choice showing "42 residents" as the sample is among a correct option. Since C is the only one with "42" as the sample, it is the answer.

2) Boosting morale isn't a negative thing, and will ultimately make residents happier. It leans towards "yes."

Adding a machine for enjoyment also leans towards "yes", because people will then have something fun to dsitract themselves with.

Many people will have access to the machine in the lunch room. They can also have a soft drink for lunch, which adds a tasty part to their lunch. It too leans towards "yes."

In a crowded lunchroom, the soft drink machine may be crowded by many people and it could take a while to get one for yourself. It is also vulnerable to breaking from too many people using it at once. It leans towards a "No" response.

Therefore, D is the best answer.

hope this helps!

Write the equation in slope-intercept form, and detemine the slope and y-intercept. Write the y- intercept as an ordered pair.
4x+5y=20
The slope is _________ .
The y-intercept is __________ .
The equation written in slope-intercept form is _______ .

Answers

Answer:

slope is 4 or 4/1

y-int is 5

Define fraction (in your own words)
Think back to the last time you needed to use fractions, for example a ruler or measuring tape. Discuss how you used it.
Explain the steps of adding or subtracting unlike fractions. Using a ruler, measure the heights of two different-size cans of food and show how to calculate the difference in heights

Answers

A number that is divided by another, like 1 divided by 2 is one half, it is a fraction of a number.

how do you convert a quadratic equation from standard form into factored form?

Answers

Step-by-step explanation:

I’m assuming that you’re asking about quadratic equations, but suffice it to say that the method may even work for polynomials of higher degrees.

Let’s take an example. You have x^2+6x+8.

First, multiply the term in x^2 with the constant; in this case we get 8x^2.Next, break the value in x into two numbers, such that when you add them, the value becomes that of the middle term and when you multiply them, the value becomes that which you have just calculated.

Step 1:

x^2 * 8= 8x^2

Step 2:

(break the middle term)

x^2+4x+2x+8 (notice how 4x when added to 2x gives 6x but when multiplied, gives 8x^2)

Step 3:

(separate the common terms)

x(x+4)+2(x+4)

(x+2)(x+4)

HELP ASAP PLEASE THIS IS DUE IN AN HOUR
Note: Enter your answer and show all the steps that you use to solve this problem
The table shows how the number of sit-ups Marla does each day has changed over time
how many sit-ups will she do on Day 12? Explain your steps in solving this problem

day 1 - 17
day 2 - 21
day 3 - 25
day 4 - 29
day 5 - 33

Answers

Answer:

keep adding four until u reach day twelve

《show your work》
A cargo container is 25 ft long, 10 ft tall, and 12 ft wide. Find its volume in cubic yards.
Round to the nearest hundredth.

Answers

The answer is 0.06

Step-by-step explanation:

Finding Volume

25 x 12 = 300

300 x 10 = 3,000

Into Cubic yards

3,000 / 46,656 = 0.06430041152

Nearest hundredth

0.06

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?
L Co, P)
O 3x - 4y = -17
0 3x - 4y = -20
O 4x + 3y = -2
O 4x + 3y = -6

Answers

Answer:

4x+3y=(-6)

Last option

Pls answer the top one!

Answers

Answer:

15800

Step-by-step explanation:

17600/10 =

1760

17600

-1760

15800

Find the surface area of the pyramid.
64in^2
56in^2
88in^2
118in^2

Answers

Answer:

To find the surface area of this pyramid, we must find the area of one triangle flap which we then multiply by 4 because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the base(square)'s area. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of one triangle is 12 inches.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

12(4)

= 48 inches is the area of all the triangles.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = [tex]s^{2}[/tex]

Where 's' represents one side of the square which is being squared.

or

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula [tex]s^{2}[/tex])

A = [tex]s^{2}[/tex]

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the area of the base(square) is 16 inches.

Now we add both areas together:-

48 + 16

= 64 inches^2 is the surface area, your answer is A.

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