I WILL MARK AS BRAINLIEST! Find the surface area and Volume of the following figures
Answers
Step-by-step explanation:
a) is really easy, right ?
the surface area consists of 6 rectangles (as you know, every die has 6 sides). they are 3 pairs of equally sized rectangles.
there are 2 rectangles 7×1, 2 rectangles 7×2, and 2 rectangles 2×1
SA = 2×7×1 + 2×7×2 + 2×2×1 = 14 + 28 + 4 = 46 in²
the volume is just length×width×height
V = 7×2×1 = 14 in³
b)
a little bit more difficult, but with a little trick just as easy.
the surface area consists of the 2 circle areas and the mantle "coating".
the area of a circle is pi×r².
we have to be careful as the given 10 ft is the diameter of these circles. the radius is half of it : 5 ft.
the area of the "mantle" we can calculate by imagining we simply slice it open with one straight line from top to bottom. and then we cut it off the two circles and put it flat on the table.
now we see it is just a rectangle. one side is 12ft. the other is the circumference of the previously attached circles.
circumference of a circle is 2×pi×r
so the surface area is 2×circle + (circumference circle)×12
SA = 2×pi×5² + (2×pi×5)×12 = 50pi + 120pi = 170pi =
≈ 534.07 ft²
the volume is one base area (circle) times height
V = pi×5²×12 = 300pi ≈ 942.48 ft³
Related Questions
Please refrain from answering just for the points
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the answer is even number.
Which of the following appears to be a scaled copy of the original image? *
YOU CAN CHOOSE MORE THAT ONE
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Answer: Third Choice. B,C, and E
Concept:
A scaled copy is a copy of a figure where every length in the original figure is multiplied by the same number.
Explanation:
Choice A. [tex]\boxed{FALSE}[/tex]
The figure given as choice A seems to be much thinner than the original image. Therefore, the figure did not copy each length in scale.
Choice B. [tex]\boxed{TRUE}[/tex]
The figure given as choice B seems to be the same size as the original image but different position. However, the position is not a concern in a scaled copy image. Therefore, the figure did copy each length in scale.
Choice C. [tex]\boxed{TRUE}[/tex]
The figure given as choice C seems to be larger than the original image and different position. However, the scale of choice C seems even to the original image. Therefore, the figure did copy each length in scale.
Choice D. [tex]\boxed{FALSE}[/tex]
The figure given as choice D seems to be larger and wider than the original image. Therefore, the figure did not copy each length in scale.
Choice E. [tex]\boxed{TRUE}[/tex]
The figure given as choice E seems to be smaller than the original image and different position. However, the scale of choice C seems even to the original image. Therefore, the figure did copy each length in scale.
Therefore, the choices would be B, C, E, which would be the third choice.
Extra: A shortcut (lazy) way to do the question
As listed above, A and D are clearly not to scale since one is much thinner, one is much wider. Therefore, we can directly neglect choices that contain A and D, which would only leave us with the third choice.
Hope this helps!! :)
Please let me know if you have any questions
A customer can drive around a track 60 times for $12. At this rate, how many times can the customer drive around the track for $8?
Answers
Answer:36 times for 8 dollars
Step-by-step explanation:
k so first you divide 54 and 12 =4.5 per dollar so you then multiply 4.5 and 8 to get the answer that =36 times for 8 dollars
I WILL MARK BRAINLIEST! Find The Area And Perimeter Of The Following Figures!
Answers
Area of a triangle is 1/2 base•height
Area of a parallelogram is also base•height… I think… it’s been a while since I did this.
Perimeter is just adding all sides together. Opposite sides have the same length on quadrilaterals such as squares, rectangles and parallelograms.
2. Area = 480 feet squared Perimeter = 120 feet
3. Area = 42 cm squared Perimeter =38 cm
I WILL MARK AS BRAINLIEST! Graph the following lines on the coordinate plane
Answers
Answer:
a) x/y=5
b)yx=12
c)
d)
Step by Step Explaination:
a):y=x+5
yx=5
x/y=5 Answer.
b):y=-2x+6
y+2x=6
y+2x/2=6/2
y+x=12
yx=12 Answer.
What is the step by step explanation on how to solve 8 1/2 + 3 4/5? I already know the answer is 12.3 but I just need help on the how to do the work.
Answers
To add the fractions, 1/2 + 4/5, you need a common denominator. With 2 and 5, you’d have an LCD of 10.
1/2 = 5/10
4/5 = 8/10
So 1/2 + 4/5 = 5/10 + 8/10 = 13/10
Now, 13 is bigger than 10, so 13/10 is the same as 1 and 3/10.
We’ll add that to the 11 we found back in the beginning and get 11 + 1 and 3/10 = 12 and 3/10 or 12.3.
HELPPPPPP meeeeeeeeeeeeeeeeeeeeeeeeeee
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Marcie solved the following inequality, and her work is shown below:
−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1
What mistake did Marcie make in solving the inequality?
A. She subtracted 6x from both sides when she should have added.
B. She subtracted 10 from both sides when she should have added.
c. She did not make a mistake.
D. When dividing by −8, she did not change the direction of the sign.
Answers
Answer:
d
Step-by-step explanation:
Randall has 19 coins in his pocket. 12 are quarters, and the others are pennies. Randall selects two coins at random from his pocket replacing each coin before drawing the next coin. Which answer choice best describes this event?
A. This is an independent event because he is replacing the coin before drawing the next one.
B. This is a dependent event because he has different amounts of coins in his pocket.
C. This is an independent event because he could select a quarter and then a penny.
D. This is a dependent event because he could select a quarter and then a penny.
Answers
Answer:
it might be C
Step-by-step explanation:
I'm just guessing
Help me wit math questionsssss plssss
Answers
i think its 3 x 10³
Answer:
3x10^3
Step-by-step explanation:
Draw the image of quadrilateral ABCD under a translation by 2 units to the right and 5 units down.
Answer:
Answers
Answer:
That is correct
Step-by-step explanation:
Please help! Greatly appreciated sorry for really bad quality
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Point P is at (50,-40) the distance from Q to P is 80 units which you can find by subtracting the x of Q (-30) from the x of P (50).
50-(-30)=80
It then tells you point R is vertically above point Q so you know your x value for R will be the same as Q.
Add your distance from Q to P of 80 units to the y value of Q because you are traveling up.
-40+80=40
R will have a point of (-30,40) and a distance of 80 units
½ a bottle of cola is shared between 3 children. What fraction of the bottle will they each get
Answers
Answer:
1/6
Step-by-step explanation:
Seven Regions
Place the digits 1 to 7, one in each region, so that the circles all have the same total
Can you show that:
- you cannot have a circle total of 16 with 4 in the center
- you cannot have circle totals greater than 19 or less than 13
- you cannot have anything other than 1 in the center for a circle total of 13
The image is linked down below! Please trust and click the file for the image
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Given the line below.
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided to submit all of your calculations and final answer.
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Answer:
Step-by-step explanation:
So, can someone help me with this?
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The figure on the left is reflected using the y-axis to form the image on the right. Use the information in the original figure to find the measure of side A, side B, angle C and angle D.
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What is the Leading Coefficient of 3x^6-2x^9+5x-12 when written in Standard Form?
ASAP!!!!
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Answer:
-2Step-by-step explanation:
Given polynomial:
3x⁶ - 2x⁹ + 5x - 12Convert this into standard form, order in descending powers:
-2x⁹ + 3x⁶ + 5x - 12The leading term, -2x⁹ is the one with the greatest power. Its coefficient, -2 is the leading coefficient.
[tex]\\ \rm\longmapsto 3x^6-2x^9+5x-12[/tex]
Write in standard form
[tex]\\ \rm\longmapsto -2x^9+3x^6+5x-12[/tex]
9>6>1-2x has greatest degree hence leading coefficient is -2.
Help me Guess just help please
Answers
Answer:
it would be no <3
Step-by-step explanation:
because it has no integers and any rational number are expressed by a pq :)
Answer:
Naaa
Nope
Notta
No way
Step-by-step explanation:
get the point
Select all ratios equivalent to 6:3.
Answers
Both 54 and 27 are divisible by 9.
54/9 = 6
27/9= 3
Therefore, 54:27=6:3
I WILL MARK AS BRAINLIEST! Write an equation that represents each of the lines.
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Step-by-step explanation:
a. y = ¾x +6
b. y = 6/4 x -2
c. y = -2/4 x +3
d. y = -1/7 x -4
Simplify the following fraction by putting it in lowest terms or by performing the indicated operation.
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(4x^2+2x+1)(2x-1)
(2x-1) cancels out so
2x-1
4^2+2x+1
please help math i need ittt
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1/3 of that distance is 7, so you need Q to be 7 units from P towards R.
-16 + 7 = -9
So, Q is at -9.
can 490 milliliters fit into 200 centimeters?? I wanna buy this calculator that’s length is '14 cm x 12.5 cm x 2.8 cm’ and a pencil case that is '20×10 cm' so I wanted to see if my calc will fit in before I purchase
Answers
Answer:
No
Step-by-step explanation:
The calculator isn't water or a fluid, therefore you have to follow the dimesions by the question. Since the Calculator is 14cm by 12.5cm, and the pencil case is 20cm by 10cm, the calculator cannot simply fit inside the pencil case as the calculator's width is longer than the pencil case's width. We do not include the height in this question as the pencil case's height is not included
PLEASE SOLVE ALL OF THE QUESTIONS IN FULL
Answers
Answer:
Step-by-step explanation:
1A is 37.7
1B is 31.4
2A is -17
3A is 11
3B is -37
3C is -16
4A is 3/10
4B is 5/6
4C is 1
4D is 8/9
I am so sorry it took this long
Answer:
1A is 37.7
1B is 31.4
2A is -17
3A is 11
3B is -37
3C is -16
4A is 3/10
4B is 5/6
4C is 1
4D is 8/9
Step-by-step explanation:
Find the unit rate.
12 books in 2 boxes
books per box
Answers
Answer:
6
Step-by-step explanation:
12 per2
=12/2
=6 per box
find three consecutive integers for which 3 times the sum of the first and third integers is -342? show step by step
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Answer:
-58, -57, -56
Step-by-step explanation:
if the first integer is x,
the second integer must be x + 1 (because it's consecutive)
and the third must be x + 2
Therefore:
3 times the sum of the first and third integers is -342:
3 * (x + (x+2) ) = -342
Combine like terms in parentheses
3 * (2x + 2) = -342
Distribute the 3 to the 2x and the 2:
6x + 6 = -342
Subtract 6 on both sides
6x = -348
Divide by 6 on both sides
x = -58
x + 1 = -57
x + 2 = -56
-58, -57, -56
Check:
3 * (-58 + -56) = 3 * -114 = -342
For each set of measurements, decide whether or not it is possible to draw a triangle with those measurements. If it is possible, draw the triangle.
a. Side lengths 2 cm, 3 cm, and 4 cm
b. Side lengths 2 cm, 3 cm, and 6 cm
c. Angles 90 degrees, 45 degrees, and 45 degrees
d. Angles 90 degrees , 60 degrees, and 60 degrees
Answers
Answer:
only A & C possible
Step-by-step explanation:
the sum total of the two smallest sides should be bigger than the third.
the sum total of the three interior angles should be 180 degree
which number produces an irrational number when added to 1/4
Answers
Answer:
A. 0.545454 - 1/4 = 0.295454 yes this is an irrational number
C. 3.4641016 - 1/4 = 3.2141016 yes this is an irrational number
Step-by-step explanation:
A. 0.545454 - 1/4 = 0.295454 is an irrational number as the closest fraction is shown below at 3 decimal points only
As this can be converted to a fraction 147727 /500000 ≈ 0.295
B. - 4/9 - 1/4 = -0.694444444 is not an irrational number so answer is no
As this can be converted to a fraction -173611111 / 250000000
To write 0.694444444 as a fraction you have to write 0.694444444 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.694444444 = 0.694444444/1 = 6.94444444/10 = 69.4444444/100 = 694.444444/1000 = 6944.44444/10000 = 69444.4444/100000 = 694444.444/1000000 = 6944444.44/10000000 = 69444444.4/100000000 = 694444444/1000000000. Then divide by 470 and we know to use this some as 250000000/531915 = 470
C. 3.4641016 - 1/4 = 3.2141016 yes this is an irrational number
closest fraction is only 4 significant figures
4017627 / 1250000
=3 and 267627 over 12500003
267627 /1250000
≈3.214 so in closer proof it is an irrational number.
D. sq rt 4 - 1/4 = 1.75 is not an irrational number as this fraction is 7/4 = 1 3/4
I REALLY NEED HELP ON THIS
Answers
Answer:
-24.3, -24, 0, 24%, 23/4, 9 2/3, 24
Step-by-step explanation:
In ascending order, this is the correct answer.
Answer:
-24.3, -24, 0, 24%, 23/4, 9 2/3, 24
Step-by-step explanation: