How to find the surface area of certain 3 dimensional shapes

Answers

Answer 1
There are formulas for the area of triangles, various quadrilaterals, regular polygons, sections of circles and spheres (including whole circles and spheres). In general, you make use of the appropriate formula or combination of formulas for the shape of interest.

If the shape does not conform to one of these, but is described by a formula, then methods of calculus (integration) can be used to find the surface area.

A few of the relevant formulas are
.. triangle area = (1/2)bh . . . . b = base length; h = height measured perpendicular to the base
.. rectangle or parallelogram area = bh . . . . b and h defined as for a triangle
.. trapezoid area = (1/2)(b₁ +b₂)h . . . . b₁ and b₂ are the lengths of the parallel bases, h is the perpendicular distance between them
.. circle area = π*r^2 . . . . r is the radius
.. sphere area = 4π*r^2 . . . . r is the radius
.. lateral area of a cone = π*rh . . . . r is the radius of the base, h is the slant height

Related Questions

Find two consecutive whole numbers that square root 62 lies between

Answers

Final answer:

The square root of 62 lies between the two consecutive whole numbers 7 and 8, since 7^2=49 is less than 62 and 8^2=64 is more than 62.

Explanation:

The square root of 62 falls into the range of two whole numbers. To ascertain the exact numbers, you need to find the square roots of the whole numbers around 62. These numbers would be 7 and 8, since the square of 7 is 49 and the square of 8 is 64. Therefore, the two consecutive whole numbers that square root of 62 lies between are 7 and 8.

Learn more about Square root here:

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A building is 200ft long and 140 ft wide a 1/500 model is built of the building how long and how wide is the model?

Answers

Let's start with the length. All you need to do is multiply is by 1/500.
You could also find the decimal equivalent to 1/500.
1/500= .002
200×.002= .4
So length of the model is .4 ft.
The width:
.002×140=.28
The width of the model is .28 ft.
The length of the model is .4 ft and the width of the model is .28 ft.

Please I need help ASAP (brainly + thank you + brainly)

Answers

88.3 : 100 = 86.7 : x
 x = 98.18 
100-98.18=1.81 (rounded 1.8)
----------------------------------------------

(88.3-1.8%=86.7)

88.3-1.8%=86.7 is the answer

a hippopotamus weighs 1.5 tons. What is its weight in ounces?

Answers

I used an online converter to get the answer but it's 52,910.94 ounces. 

We can use unitary method here.

First let us use the basic conversion from tons to ounces.

1 ton =32000 ounces

Now we have to find how many ounces are there in 1.5 tons.

Weight of hippopotamus in tons =1.5 tons

Weight of hippopotamus in ounces = 1.5 *32000 = 48000 ounces.

So the weight of hippopotamus in ounces is 48000 ounces.

Jennifer Lopez met her 9 cousins at a family reunion. The number of male cousins (x) was 2 less than the number of females cousins (y)

Answers

Final answer:

To find the number of male and female cousins Jennifer Lopez met at a family reunion, we can set up a system of equations based on the given information. By solving the system, we can determine the values of the variables and find the answer.

Explanation:

The subject of this question is Mathematics and the grade level is Middle School. The question asks about the number of male and female cousins Jennifer Lopez met at a family reunion. Let's define the number of male cousins as x and the number of female cousins as y. From the given information, we know that x is 2 less than y.

So the equation can be written as: x = y - 2

Since Jennifer met a total of 9 cousins, we can write another equation: x + y = 9

Now we can solve this system of equations to find the values of x and y. Subtracting the first equation from the second equation, we get: (x + y) - (y - 2) = 9 - (y - 2)

Simplifying further, we have: x + 2 = 11 - y

Bringing the variables to one side, we get: x + y = 11 - 2

Combining like terms, we have: x + y = 9

Therefore, the value of x is 4 and the value of y is 5. So Jennifer Lopez met 4 male cousins and 5 female cousins at the family reunion.

In the coordinate plane, what is the length of the line segment that connects points at (4, −1) and (9, 7) ? Enter your answer in the box. Round to the nearest hundredth.

Answers

On this question is asked you to find the length of a line segment with endpoints (4,-1) and (9,7) and round it to the nearest hundredth. The only way to find the solution is by the use of the Distance Formula, which is d=√(x2-x1)^2+(y2-y1)^2.

d=√(x2-x1)^2+(y2-y1)2^2
d=√(9-4)^2+(7--1)^2
d=√(5)^2+(8)^2
d=√(25)+(64)
d=√89
d=9.43 units

The length of the line segment is 9.43 units.

Final answer:

The length of the line segment connecting points (4, -1) and (9, 7) in the coordinate plane is approximately 9.43 units, when rounded to the nearest hundredth.

Explanation:

To find the length of the line segment that connects the points (4, −1) and (9, 7) in the coordinate plane, we can use the distance formula which is derived from the Pythagorean theorem:

The distance (Δ) between two points (x1, y1) and (x2, y2) is given by:

Δ = √((x2 - x1)² + (y2 - y1)²)

Substituting the given coordinates:

Δ = √((9 - 4)² + (7 - (−1))²)

Δ = √(5² + 8²)

Δ = √(25 + 64)

Δ = √89

Using a calculator, we can find that:

Δ ≈ 9.43

Therefore, the length of the line segment is approximately 9.43 units, rounded to the nearest hundredth.

Blaine,Eric, and Melissa are running for president of the student council. Some of the students in the school were randomly surveyed about whom they will vote from in the election. The results are recorded in the table shown below.

Candidate Survey Results
Blaine ---------- 17
Eric ----------- 14
Melissa --------- 19

If there are 600 students in the school, approximately how many will vote for Eric?

Answers

i think about 200 people will vote for eric let me recheck

Adelaide paid $35 for a manicure and gave the manicurist a 20% tip How much money did Adelaide give her manicurist

Answers

The correct answer is:
$42.

Explanation:
The best way to find a total bill including tip (or tax if that is what you are looking for - it is found the same way), is to multiply the original total by 1 + the percentage of the tip.

Since the percentage is 20%, we add 0.20 to 1 to get 1.20.
Now we multiply that by the original cost to get the final answer.
1.20*35 = 42

Answer:

Adelaide gave $ 42 to the manicurist.

Step-by-step explanation:

Here, the original price of the manicure = $ 35

Since, 20% tip is given to manicurist,

Thus, the total payment for manicure = Original price of the manicure + 20 % of the original price of the manicure

= 35 + 20 % of 35

[tex]=35+\frac{20\times 35}{100}[/tex]

[tex]=35+\frac{700}{100}[/tex]

[tex]=35+7[/tex]

[tex]=42[/tex]

Hence, Adelaide gave $ 42 to the manicurist.

The mean score of a competency test is 82, with a standard deviation of 2. Between what two values do about 99.7% of the values lie?

Answers

99.7% encompasses about 3 standard deviations either side of the mean.

82 ±3*2 = (76, 88)

About 99.7% of the values lie between 76 and 88.

Answer:

99.7% lies between 76 and 88

Step-by-step explanation:

mean = 82, standard deviation = 2

3 standard deviation has 99.7%

so we need to find 3 standard deviation above and below the mean.

To find 3 standard deviation above the mean , we add standard deviation 2 with mean

82 + 2= 84 first SD

84 + 2= 86 second SD

86 + 2= 88 third SD

88 is the third SD above the mean 82

To find 3 standard deviation below the mean , we subtract standard deviation 2 from mean

82 - 2= 80 first SD

80 - 2= 78 second SD

78 - 2= 76 third SD

76 is the third SD below the mean 82

So , 99.7% lies between 76 and 88


if a circle has a radius of 2.5 inches what is the area of the circle

Answers

The answer should be 19.63
the equation for a circle’s area is πr^2. rounding π to 3.14, your equation is (3.14)(2.5)^2.

answer: 19.625

the perimeter of a rectangular sandbox is 34 ft if the length of the sandbox is 8 ft what is the width of the Sand box

Answers

If 8+8=16, 34 - 16 = 18. Half of 18 is 9, so the width is 9 ft
34-8x2=18
18/2=9
The width of the sandbox is 9

Please help 4th grade 3 questions

Answers

b for number 1 do u need all of them

Answer:

good luck

Step-by-step explanation:

1- a

2- c

3- b

2. WALKING Laura starts at the origin. She walks 8 units to the right and then 12 units up. How far away from the origin is she? Round your answer to the nearest tenth

Answers

Final answer:

Laura is approximately 14.4 units away from the origin after walking 8 units to the right and 12 units up, found by applying the Pythagorean theorem.

Explanation:

The question asks how far Laura is from the origin after walking 8 units to the right and 12 units up. To solve this, we can use the Pythagorean theorem, which is a fundamental principle in geometry that deals with the lengths of sides in a right-angled triangle. Here, we consider Laura's walk as the two perpendicular sides of a triangle, with her movement to the right representing the horizontal side (8 units) and her movement upwards representing the vertical side (12 units).

To find the distance (hypotenuse) from the origin, we apply the Pythagorean theorem as follows:

Calculate the square of both the horizontal and vertical distances: 8^2 = 64 and 12^2 = 144.Add the squares of the two sides: 64 + 144 = 208.Take the square root of the sum to get the hypotenuse: sqrt(208) ≈ 14.4 units.

Hence, Laura is approximately 14.4 units away from the origin, rounded to the nearest tenth.

What is the value of x?

Enter your answer in the box.
x =

Answers

x^2 + 12^2 = 13^2

x^2 + 144 = 169

x^2 = 169-144

x^2 = 25
x = sqrt(25)
x = 5

Elise pays $21.75 for 5 student tickets to the fair.What is the cost of each student ticket

Answers

Divide 21.75 by 5 students which would mean each students ticket was $4.35.
You divide the total cost by the number of tickets you are buying.
21.75/5= $4.35

I’m not sure how to do this

Answers

It's b because you have to round up
The answer is B because [tex] \sqrt{22} [/tex] is about 4.6904, and it is closest to 4.7. 
Hope this helps!

find the total number of four-digit numbers you can write using only digits that are even numbers?

Answers

We assume that you don't want to count numbers that start with 0, so there are 4 possible first digits and 5 possible digits in each of the remaining places.

4*5^3 = 500 . . . . total number of 4-digit numbers using only even digits

_____
The list of them would be ...
2000, 2002, 2004, 2006, 2008, 2020, ..., 8868, 8880, 8882, 8884, 8886, 8888

What is 5h + 6f - 5h + f

Answers

= h(5 -5) +f(6 +1)
= 7f . . . . . . . . . . . h terms cancel
7f. The 5h’s cancel out. Then u got 6f+f=
7f

1) The paint company says that we need to buy one gallon of paint for each 350 square feet of walls that we want to paint. How many gallons of paint do we need to buy?

1

2

3

4
2) We don't really need to paint the door and the window, so we want to subtract their areas from the area of the walls. What is the total area in square feet that we actually need to paint?

399

419

439

459
3) Let's say that our room also has one window. The window is 4 feet wide and 3 feet tall. What is the total area of the window put together in square feet?

7

12

14

24
4) Let's say that our room has one door. The door is 3 feet wide and 7 feet tall. What is the total area of the door in square feet?

10

20

21

42
5) Let's say that you want to paint a room in your house. The room has rectangular walls. Each wall is 8 feet high. Two of the walls are 15 feet long, and the other two walls are 12 feet long. Based on these measurements, what is the total area of the walls of the room in square feet? (Hint: Calculate the area of each wall, and add the 4 areas together.)

416

432

454

488
please answer it

Answers

5.
(15 x 8)2 + (12 x 8)2
120 x 2 + 96 x 2
240 + 192
432

4.
3 x 7
21

3.
4 x 3
12

2.
432 - (21 + 12)
432 - 33
399

1.
1 gallon = 350 sq ft
Area = 399
We need to buy 2 gallons

A rectangular prism has a volume of 60 in³. what is the least possible surface area of the prism?

and

A rectangular prism has a volume of 24 m³. What is the least possible surface area of the prism?

Answers

The rectangular prism that has the least surfacea area for a given volume is a cube. If the volume is given by V, the side length (s) will be
.. V = s³
.. ∛V = s

Then the surface area will be
.. A = 6*s²
.. A = 6(∛V)²
.. A = 6×V^(2/3)

a) For a cuboid with volume 60 in³, the least possible surface area is
.. A = 6*(60 in³)^(2/3) ≈ 91.957 in²

b) For a cuboid with volume 24 m³, the least possible surface area is
.. A = 6*(24 m³)^(2/3) ≈ 49.922 m²

Which coordinate grid shows the correct locations of P(1, 2.5), point Q, which is a reflection of point P across the y-axis, and R(2, −2.5)?

Answers

Answer:

the second one is correct

Step-by-step explanation:

Answer:the second

Step-by-step explanation:

What is the MAD of the data set?

{13, 6, 3, 7, 11}

Enter your answer in the box.

Answers

The MAD value of the given data set is "3.2".

Mean absolute deviation (MAD)

The average distance between each data value and the mean is defined as the mean absolute deviation of a data set. It is a measure of variation in a data set.

Calculation of the MAD value:

Given:

[tex]\to \{ 13, 6, 3, 7, 11\} \\\\[/tex]

Calculating the sum of the given value:

[tex]\to 13 + 6 + 3 + 7 + 11 = 40\\\\[/tex]

Calculating the average value:

[tex]\to \frac{40}{ 5} = 8\\\\[/tex]

Subtracting the average value from the given set:

[tex]\to 13 - 8 = 5\\\\\to 6 - 8 = | -2 | = 2\\\\\to 3 - 8 = | -5 | = 5\\\\\to 7 - 8 = | -1 | = 1\\\\\to 11 - 8 = 3\\\\[/tex]

Calculated set value:

[tex]\to 5, 2, 5, 1, 3\\\\[/tex]

Adding the set value:

[tex]\to 5 + 2 + 5 + 1 + 3 = 16[/tex]

Calculating the average value of the set:

[tex]\to \frac{16}{5} = 3.2\\\\[/tex]

So, the

[tex]\to \text{MAD} = 3.2[/tex]

Therefore, the final value of MAD is "3.2"

Find out more information about the MAD here:

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find an inequality that you can use to disprove John statement. explain your thinking.

Answers

Try this inequality with 0 as the right side.

-x > 0

According to John, we multiply both sides by -1, and the inequality sign does not change direction, so we get this

x > 0

Let's use a number for x that makes the original inequality true.
Let x = -2.

-x > 0

-(-2) > 0

2 > 0

As you can see, -2 does work on the original equation.

Now let's try -2 in John's solution.

x > 0

-2 > 0 which is a false statement.

Now let's solve it again, but we will reverse the inequality symbol when we multiply both sides by -1.

-x > 0

x < 0

Try x = -2.

-2 < 0   which is true

Now it works.

John is incorrect.
If you multiply or divide an equation by a negative number, even if one of its sides is 0, you still must change the direction of the inequality symbol.

find the greatest common factor of the following monomials 26n5 12n2

Answers

Final answer:

The greatest common factor of 26n^5 and 12n^2 is 2n^2, as the prime factor 2 and the variable n to the second power are the highest powers common to both monomials.

Explanation:

The greatest common factor (GCF) of two monomials, 26n5 and 12n2, is found by identifying the highest power of each prime factor that is present in both monomials. To find the GCF of 26 and 12, we factor both numbers into their prime factors:

26 = 2 × 1312 = 22 × 3

Since 2 is the only common prime factor between 26 and 12, and its lowest power in both numbers is 21, we take this as part of our GCF. For the variable part, we look at n5 and n2 and take the lowest power, which is n2. Hence, the GCF of 26n5 and 12n2 is 2n2.

A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 121/3 feet per minute for 4.5 minutes. This depth is represented by the numerical expression:      -200 + 121 3 (4.5) Simplify the expression using the order of operations. What is the diver’s depth?      -200 + 37 3 (4.5)     -200 + 55.5

Answers

−200+

37

3

(4.5)

=−200+55.5

=−144.5             You can use order of operations or pemdas to solve problems like this. Just remeber to go left to right and multiplaction can be before division and multiplacation can be before divison (same with subtaction and addition)

The diver’s depth is 18.5 feet below from sea level.

Given that, A diver begins at sea level and dives down 200 feet.

He ascends at a steady rate of 121/3 feet per minute for 4.5 minutes.

This depth is represented by the numerical expression is,

                 [tex]=-200 +\frac{121}{3}*(4.5) \\\\=-200+(121*1.5)\\\\=-200+181.5\\\\=-18.5feet[/tex]

Negative sign indicate that below the sea level.

Hence, The  diver’s depth is 18.5 feet below from sea level.

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does the graph represents a function

Answers

You could use a simple pencil test to figure it out.
Place a pencil vertically on the paper, and move it left to right or vise-versa 
When moving it make sure the pencil doesn't hit two points at once if it does it is not a function, but this is not the case

This is a function

In this situation, we would use something called the vertical line test. In other words, if we can draw a vertical line that passes more than one point on the graph, then the relation is not a function.

If we use the vertical line test in this situation, it is not possible to draw a vertical line that passes through more than one point. Therefore, this does represent a function.

a circle has a radius of 8 inches. What is the circumference in terms of pi?

Answers

The circumference is 50.24, because 2 * 3.14 * 8 = 50.24.
Please make brainliest! ☺
 
circumference=pi*diameter
multiply the radius by 2 to get the diameter - which is 16
pi*16=50.26548...
50.26548... OR  50.3 rounded

456 000 has been rounded to the nearest thousand.
What was the smallest possible number this could have been?

Answers

The smallest number could have been 455,500

What is the 10th term in the pattern with the formula 2n + 5?
A. 25
B. 20
C. 15
D. 17

Answers

2(10)+5 = 25. The answer is A

i need duh helpssssssssssss

Answers

4 2/6 + 3 3/6 + 2 3/6 =  10 2/6

10 2/6 / 1/3 = 31 bags

Answer is B
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