Here is a triangular prism
All measurements are in centimeters
Calculate the volume and surface area of the prism.
Answers
Answer:
Volume = 42 cm^3, Surface Area = 96 cm^2
Step-by-step explanation:
Volume = Area * Height
S = semi-perimeter or half of the perimeter
Area of the triangle using heron's formula = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
S = (3 + 4 + 5)/2 = 6 cm
Area of triangle = [tex]\sqrt{6(6-3)(6-4)(6-5)}[/tex]
= [tex]\sqrt{6 * 3 * 2 * 1}[/tex]
= [tex]\sqrt{36}[/tex]
= 6 cm^2
Volume = 6 * 7
= 42 cm^3
Surface Area = Area of bases * Area of Lateral faces
Area of lateral faces = 7 * 3 + 7 * 4 + 7 * 5 = 84 cm^2
Area of bases = 6 cm^2 * 2 = 12 cm^2
Surface area = 12 cm^2 + 84 cm^2 = 96 cm^2
Related Questions
HELP! Plz! I dont know how to do this anymore
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PLEASE HELP ME 6th grade math INTRODUCTION TO PERCENTAGE
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Second question she made 4 throws out of 6 so it would be 4/6=0.67 %she made
1)80%
2) 66.67%
15 point reward + brainliest for the CORRECT answer
Answers
Jen makes knitted scarves to sell. At a craft fair, she sells 22 scarves. Each scarf sells for $35.
How much money does Jen make?
Enter your answer in the box.
Answers
Multiply number sold by price:
22 x $35 = $770
Answer: $770
22x35=770
Answer:$770
Please help me, and explain how to solve it aswell.
Answers
Answer:
A
Step-by-step explanation:
The formula for circumfrence is C=pi x 2r or C= pi x r
In this case its C= 3.14 x 9 which is 28.26 rounded to 28.3
Answer:
Answer A is correct.
Step-by-step explanation:
Formula to find the circumference of a circle is :
C = π × d
Here,
d ⇒ diameter ⇒ 9m
First, let us find the circumference in terms of π.
C = π × d
= π × 9
= (9π)m
And now let us find the circumference to the nearest 10th.
Given that,
π = 3.14
Let us find now.
C = 9π m
= 9 × 3.14 m
= 28.26 m
≈ 28.3m
determine if each statement is true or false
1 A multiple of 3 must end in 3, 6, or 9.
2 A multiple of 3 can end in any number.
3 Each row in the table is 3 more than the row above it.
Answers
Answer:
I'm not sure about number 3 because it seems there is additional information not included in this post but 1 is false and 2 is true
Step-by-step explanation:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36
Q6: What is the measure of 2 if 1 is (2x - 3) and 2 is (8x)?
Answers
Answer:
168 degrees
Step-by-step explanation: first you would do (2x-3)+8x so you would have 10x-3 and that equals 180 degrees since its a straight angle. so you would do 10x-3=180 divide by 10, x-3=18 and add 3 so x=21 then since 2 is 8x you would multiply 8 by 21 which is 168.
Ty is naming the two-dimensional figures that make up the surface areas of a rectangular prism. Ty says that there are 6 rectangular faces. Is Ty right?
Answers
Answer:
Yes
Step-by-step explanation:
First anyone with the name ty is usauly right and second just take a box and count how many sides it has 6 therefore yes
15 point reward + brainliest for the CORRECT answer
Answers
It is 1 because the event that it lands on a section must be 1.
It is 5/12 because we could pick any 5 sections and the event it would be one of them is 5/12.
It is 2/3 for the same logic as 5/12 because 2/3 = 8/12.
It is not 3/8 because you can not have a decimal of a possibility, that is not possible, and it is not 13/12 because you cannot have a higher probability than 1, since it is not possible for there to be 13 winning possibilities out of 12.
please i will mark brainlest if correct
(38⋅ 2−5⋅ 90)−2
Answers
Answer:
-376
Step-by-step explanation:
(38 × 2 − 5 ×90) −2
Multiply the numbers
(76 - 5 × 90) - 2
(76 - 450) - 2
calculate the difference
( - 374) - 2
Remove unnecessary parentheses
- 374 - 2
Calculate the difference
- 376
Solution
- 376
please help i never understand this math: Tyler ate fruit snacks, and Han ate 3/4 less than that. Write an expression for the number of fruit snacks Han ate.
Answers
Step-by-step explanation:
Han ate 3/4 less fruit snacks than Tyler. Some times an answer could just be re-stating the question.
I forgot how to do it help lol
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J, (-3,-2)
L, (-6,-2)
remember the (x,y) rule!
I need help pleez help meeee
Answers
.63 goes in between.62 and .64
13/20 goes in between .64 and .66
Answer:
0.63, 13/20, 68%
HELP ME PLEASE ITS DUE TODAY
A trial in an experiment consists of three events: choosing a card (Red, R, or Black, B), flipping a coin (H or T), and rolling a 6 -sided die ( 1 , 2 , 3 , 4 , 5 , 6 ).
The question is ,"What is the probability, as a fraction, of choosing a red card, the coin landing tails up, and rolling a number less than or equal to 3 ?"
Some1 heeelp
Answers
Answer:
3/24 or about 12.5%
Step-by-step explanation:
The area of a circle is approximately 28.27 square feet. What is the length of the diameter?
Answers
Answer:
d = 6 ft.
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
[tex]28.27=\pi r^{2}[/tex]
[tex]r=\sqrt{\frac{28.27}{\pi } } =3[/tex]
diameter = 2 r = 2(3) = 6 feet
Hope this helps
I don't understand how to do this
Answers
Answer:
64[tex]\pi[/tex] in²
Step-by-step explanation:
I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.
Remember,
A = [tex]\pi[/tex][tex]r^{2}[/tex]
And if we have 4 circles that means the area of one circle is 1/4th the total
So,
A=[tex]\frac{\pi r^{2} }{4}[/tex]
Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.
A= [tex]\frac{16\pi }{4}[/tex]=[tex]\frac{4\pi }{1}[/tex]=4[tex]\pi[/tex]
Now lets get it back to [tex]r^{2}[/tex] by square rooting the 4
A=[tex]\sqrt{4\pi }[/tex]=2[tex]\pi[/tex]
The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.
This gives us a final radius of the bigger circle of 8
Therefore, the area of the bigger circle is 8²[tex]\pi[/tex] which simplifies to 64[tex]\pi[/tex]
And a final answer of
64[tex]\pi[/tex] in²
Hope this helps :)
PLEASE HELP DUE DATE IS 12!!!!
Answers
Answer: I’d say 25% but someone else can correct me if I’m wrong
Step-by-step explanation:
Find the median of the data set: 10, 5, 60, 20, 15, 20, 9, 2
17.625
12.5
20
58
60
Answers
Answer:
12.5
Step-by-step explanation:
Hope this helps!
Answer: 12.5.
Step-by-step explanation:
Type your answers with no spaces.
1. At the book sale, all books cost less than $5.
A. What is the most expensive a book could be? $[4.99]
B. Write an inequality to represent costs of books at the sale. [ ]
C. Describe the number line that represents this inequality. The circle has an (open/closed)
{ } dot on the 5, and the arrow is pointing to the (left/right)
{ } of the 5.
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B. Books (B) < $5 OR Books (B) ≤ $4.99
C. The number line would begin at 5 on the number line with an open circle. The arrow and line point to the left.
Reasoning for each answer:
A. The cost of the books all cost LESS than $5. This means no book can be $5 or greater. With this in mind, $4.99 is the largest possible value of a book.
B. < means less than, and ≤ means less than or equal to. For this reason you could either write B < $5 (meaning that a book can cost LESS than $5) OR you could write B ≤ $4.99 (meaning that a book can cost LESS than or EQUAL to $4.99)
C. An open circle means that the number is not included we are trying to show that the value of the books are LESS than $5. Meaning, an open dot above 5 pointing to the left shows that a book can’t cost $5, but CAN cost anything LESS than $5.
I hope this helps! Good luck!
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 5 points
Show Your Work
Consider the pyramid.
Answers
Answer:
224mm
Step-by-step explanation:
The base is 8 by 8. 8*8=64
A triangle's area is equal to length times width over 2. We have 4 triangle
0.5(10*8)=40
40*4=160
160+64=224
What is 25% of 50
Who ever gets it right gets brainlest ansewer
Answers
Answer:
12.5
Step-by-step explanation:
25%=.25
.25*50=12.5
Answer: 12.5
Step-by-step explanation: If its a percent always divide the number by 100.
EX: 25% of 50
25%=0.25
0.25x50=12.5
find the slope please
Answers
Answer:
-1/3
Step-by-step explanation:
Answer:
-0.33
Step-by-step explanation:
The slope is -0.33 bc first, the line is going down so its negative. Second, use rise/run which is the Hight from each point / the length from each of the points. you can see that the rise is one, and the run is three so do 1/3 which equals -0.33
help me plzzzzzzzzzzzzzzzzzz
Answers
Answer:
Step-by-step explanation: Pick 14/32 since of you multiply 7/16 by 2/2 you get 14/32.
Set up a proportion and use cross multiplication to solve.
16.8 is what percent of 48?
285%
8%
28.5%
35%
Answers
first, set up a proportion. 16.8/48 = x/100.
then cross multiply. 16.8 * 100. the answer to this is 1680 (take the decimal point and move it 2 places to the right).
lastly, divide. Take 1680 and divide it with 48.
your answer is 35%
Answer:
35%
Step-by-step explanation:
Let [tex]x[/tex] = the percentage
Set up the proportion:
[tex]\dfrac{16.8}{48}=\dfrac{x}{100}[/tex]
Cross multiply:
[tex]\implies 16.8 \cdot 100=x \cdot 48[/tex]
[tex]\implies 1680=48x[/tex]
Divide both sides by 48:
[tex]\implies \dfrac{1680}{48}=\dfrac{48x}{48}[/tex]
[tex]\implies 35=x[/tex]
Therefore, the solution is 35%
The volume of this right prism is 240.5 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
x = (Answer) ft
Answers
Answer:
x = 7.4 ft.
Step-by-step explanation:
Find the area of the base (32.5ft^2) and divide the area by that to find the height (240.5/32.5= 7.4ft)
The height of the prism is 7.4 feet.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given is a right trapezoidal prism.
Area of the prism = Base area × Height of the prism
Base is trapezoid.
Base area = [tex]\frac{1}{2}[/tex] (8 + 5) 5
= 32.5 feet²
Height of the prism = Length between the bases = x feet
So we have,
32.5 x = 240.5
x = 240.5 / 32.5
x = 7.4 feet
Hence the height of the prism is 7.4 feet.
Learn more about Volume here :
https://brainly.com/question/16699533
#SPJ3
plese help me brainliest
Answers
2- 4 1/2
3- 1 1/8
4- 1 5/6
5- 12/17
Have a good day
Step-by-step explanation & Answer:
Each question is a division, and they want to know which mixed number is equivalent. I can help.
Answer:
28 ÷ 20 = 1.4 [tex]1\frac{2}{5} = \frac{7}{5} = 1.4[/tex]
18 ÷ 4 = 4.5 [tex]4\frac{1}{2}[/tex] [tex]= \frac{9}{2}[/tex] [tex]= 4.5[/tex]
9 ÷ 8 = 1.125 [tex]1\frac{1}{8}[/tex] [tex]= \frac{9}{8}[/tex] [tex]= 1.125[/tex]
11 ÷ 6 = 1.8333... [tex]1\frac{5}{6}[/tex] [tex]= \frac{11}{6} = 1.8333...[/tex]
12 ÷ 17 = 0.70588235 [tex]\frac{12}{17} = 0.70588235[/tex]
Steps:
1. In order to find your equivalent fraction you need to divide your equations. The dividing goes for the fractions too.
2. If you don't know how to divide mixed numbers I can show you one of the fractions.
Example:
4[tex]\frac{1}{2}[/tex]
multiply 4 x 2 4 x 2 = 8 add 8 + 1 8 + 1 = 9 convert into improper fraction [tex]\frac{9}{2}[/tex] denominator always stays the same. divide [tex]\frac{9}{2}[/tex] [tex]\frac{9}{2} = 4.5[/tex]3. now after dividing your fraction and equation it should turn out as a decimal.
4. check if the equation has the same decimal if they do they're equivalent.
I hope this helped you have a great day
please make 0.571 as a fraction please and thank you
Answers
Answer:
The answer is 571/1000
Step-by-step explanation:
Geometry help ASAP BRAINLIEST Fastest person thanks
Answers
Answer:
1. 18 cm sq
2. 140 in sq
3. sorry i don't know
4. 320 in sq
Khan math homework due at 11 pm
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Answer:
V=502.4
Step-by-step explanation:
3.14x4^2x10
Hope this helps :)
Ignore this answer.
A juice box contains 6 fluid ounces of juice. Maria bought a package of 10 juice boxes.
How many cups of juice did Maria buy?
Enter your answer in the box as a decimal.
Answers
Answer:
7.5
Step-by-step explanation:
To find the total amount of ozs you multiply 6x10 which is 60. So you have 60 fluid ozs.
To convert fluid oz to cups you divide ounces by 8.
So 60/8 is 7.5