Question 1
Here is the base of a prism.
a. If the height of the prism is 5 cm, what is its surface area? What is its volume?
b. If the height of the prism is 10 cm, what is its surface area? What is its volume?
c. When the height doubled, what was the percent increase for the surface area? For the volume?
Answers
Answer:
A). Surface area = 222 cm²
Volume = 180 cm³
B). Surface area = 375 cm²
Volume = 360 cm³
C). % increase in surface area = 67.57%
% increase in volume = 100%
Step-by-step explanation:
In the figure attached base of a prism has been given.
A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off
= 8×5×5 - 2×2×5
= 200 - 20
= 180 cm³
B). Surface area of the prism if it's height is 10 cm,
Surface area = 30×10 + 2×(36) = 372 cm²
Volume of the prism = 8×5×10 - 2×2×10
= 400 - 40
= 360 cm³
C). Increase in surface area = 372 - 222 = 150 cm²
% increase in the surface area = [tex]\frac{150}{222}\times 100[/tex] = 67.57%
Increase in volume = 360 - 180 = 180 cm³
% increase in volume = [tex]\frac{180}{180}\times 100[/tex] = 100%
Related Questions
What is the product of 523 and 48
Answers
Answer:
25104
Step-by-step explanation:
PRODUCT=MULTIPLICATION, SO
423 X 48= 25104
Lines a and b are parallel lines cut by transversal f.
Parallel lines a and b are cut by transversal f. At the intersection of lines f and b, the uppercase left angle is angle 4. At the intersection of lines f and a, the uppercase right angle is angle 1.
If , what is ?
20°
70°
110°
130°
Answers
Answer:
110
Step-by-step explanation:
110°
Denice had 236 yellow stars and 196 blue stars. She wants to arrange them in rows of 4. How many rows of stars would Denice have?
Answers
Answer:
108
Step-by-step explanation:
236 + 196 = 432 (total stars)
432 / 4 = 108 rows.
Answer:
108 rows.
Step-by-step explanation:
236 stars + 196 stars = 432 stars in total
So if you're putting 432 stars in 4 rows, you have to divide 432/4, which equals 108 rows with 4 stars in each row.
Hope this helped you :)
18. A brother carries his little sister, who weighs 24kg, across a field 20 meters. How
much work did he do?
Answers
Answer:
4800 joules
4.8 kilojoules
Step-by-step explanation:
[tex]Work done = Force * distance\\Workdone = (mass*acceleration)*distance\\Note : force = (mass*acceleration) , Acceleration- due- to -gravity =10m/s^2\\W.D = 24 * 10*20\\W.D = 4800 joules\\W.D =4.8Kilo joules[/tex]
All rhombus we have all sides that are equal in length.
Which of these quadrilaterals are rhombuses?
Answers
The quadrilaterals that are rhombus is
Figures B and C.
Options B and C are the correct answer.
What is a rhombus?A rhombus is a quadrilateral whose all four sides are equal and the parallel sides are equal and the opposite angles are equal
We have,
A rhombus has all four sides equal.
A rhombus has equal parallel sides.
A rhombus's opposite angles are equal.
Now,
The figure in option B has the following properties:
All sides are equal.
Parallel sides are equal.
The figure in option C has the following properties:
All sides are equal.
Parallel sides are equal.
Opposite angles are equal.
Thus,
Figures B and C are rhombus.
Learn more about rhombus here:
https://brainly.com/question/27870968
#SPJ2
PLS HELP EASY QUESTIONS
1.
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 4 24 22
What is the experimental probability that Jenny will pull out a pink tile?
22 over 50
22 over 28
24 over 50
4 over 50
2.
Jake has a bag of 50 beads, of which some are red and the remaining are yellow. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 6 red and 9 yellow beads. Based on the result, what is most likely the number of red beads in the bag?
10
20
30
40
Answers
Answer:
24 over 50 and 20 red beads
Step-by-step explanation:
Find the area of the
8 in
6 in
A
5 in
4in
10 in please help explained answer please thanks.
Answers
Answer:
108
Step-by-step explanation:
6x8 = 48
10x4= 40
5x4= 20
add them up and you get 108
Answer:
the area is 108
Step-by-step explanation:
cut the shape into parts.
6x8=48
10x4=40
5x4=20
48+40+20=108
1. Explain why the equation has two solutions. Then solve the equation to find the solutions. Show your work.
Answers
Answer:
Some equations have two solutions because a quadratic expression can be written as the product of two linear factors and each factor can be equated to zero, So there exist two solution.
The answer to the quation is x = -2 or x =10
Step-by-step explanation:
Quadratic equation are equations with a leading degree of two. The solutions to the given quadratic equation is 10 or -2
Solution to quadratic equationQuadratic equation are equations with a leading degree of two. Given the equation
(x-4)^2-28=8
The equation has two solution because it has a leading degree of 2.
Given
(x-4)^2-28=8
Add 28 to both sides
(x-4)^2-28 + 8=8 + 8
(x-4)^2= 36
Take square root of both sides
√(x-4)^2= ±√36
x - 4 = ±6
x = 6 + 4 or -6 + 4
x = 10 or -2
Hence the solutions to the given quadratic equation is 10 or -2
Learn more on quadratic solution here: https://brainly.com/question/1214333
which of the following values are in the range of the function graph below? Check all that apply.
Answers
Answer:
hey there,
Step-by-step explanation:
make sure you add your image. we don't know what to answer
Answer:
Add a graph so that we are able to answer for you.
Step-by-step explanation:
Plz help as soon as possible
what is 150*70
Answers
Answer:
10500
Step-by-step explanation:
I need help on this.
Answers
Answer:
186
Step-by-step explanation:
6 x {[(14 - 9 ) x 3 ] + [( 17-9) x 2]}
is 106
provided
Solve this equation. Explain your reasoning.
3x-2.5x + 0.5 = 4.5
Answers
Answer:
hope this helps!
Step-by-step explanation:
3x-2.5x+0.5=4.5
We move all terms to the left:
3x-2.5x+0.5-(4.5)=0
We add all the numbers together, and all the variables
0.5x-4=0
We move all terms containing x to the left, all other terms to the right
0.5x=4
x=4/0.5
x=8
Find the coordinates of the midpoint of the segment whose endpoints are given.
A (2, 3) and B (6, 11)
(4, 7)
(11, 4.5)
(2, 4)
Answers
Answer:
a
Step-by-step explanation:
Prove that
[tex]x {}^{2} - 2[/tex]
will never be divisible by 3.
Answers
Answer:
Any integer x can be represent in form of 3k, 3k+1, or 3k + 2 (k is integer).
Case 1: x = 3k => x^2 - 2 = 9k^2 - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2)
Case 2: x = 3k + 1 => x^2 - 2 = 9k^2 + 6k + 1 - 2 = 9k^2 + 6k - 1, which will not be divisible by 3
(notice that 1 is not divisibble by 3, but 9k^2 + 6k)
Case 3: x = 3k + 2 => x^2 - 2 = 9k^2 + 12k + 4 - 2 = 9k^2 + 12k - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2 + 12k)
=> x^2 - 2 will never be divisible by 3
Hope this helps!
:)
The probability that a person has immunity to a particular disease is 0.6. Find the mean number who have
immunity in samples of size 12.
Answers
Answer:
Step-by-step explanation:
This is a binomial probability problem. There are only two outcomes. It is either a chosen person has immunity to a particular disease or he does not. The probability of success in this case, p is the probability that a chosen person has immunity to a particular disease. Thus
p = 0.6
The probability of failure, q is q = 1 - p
Thus, q = 1 - 0.6 = 0.4
Mean = np
Where n represents sample size. Thus,
Mean = 12 × 0.6 = 7.2
Choose the answer to complete each statement
The slope of the line is
The y-intercept is at
The graph represents the function
(3, 4)
(0, -3)..
Answers
Answer:
1. The slope of the line is 7/3
2. y intercept is -3
3. y= 7/3x -3
Step-by-step explanation:
To find the slope of the line you use the equation y2-y1/x2-x1
y2 and y1 are y coordinates of the 2 coordinates on the same line that you want to find the slope of and the same with x2 and x1
The y-intercept is the point where the line crosses the y axis and x= 0
the equation of a line is y= mx+b
m= slope
b= y intercept
Barrett purchased a piece of sandpaper for his electric sander, as shown above. The radius of the sandpaper is 2.5 inches. Approximately what area does the sandpaper cover ignoring the center hole? (Use 3.14 for .)
Answers
Answer:
Look at the attachment
78% of the class completed their homework last night. What fraction of the class completed their homework?
Answers
Answer:
[tex]\frac{39}{50}[/tex]
Step-by-step explanation:
=> 78% makes:
=> [tex]\frac{78}{100}[/tex]
In simplest form:
=>[tex]\frac{39}{50}[/tex]
Answer:
[tex]\frac{39}{50}[/tex]
Step-by-step explanation:
78% is .78 as a decimal and it is [tex]\frac{78}{100}[/tex].
[tex]\frac{78}{100}[/tex] can be simplified to [tex]\frac{39}{50}[/tex]
what is the tangent ratio of E L?
A. 3/4
B. 5/3
C. 5/4
D. 4/3
Answers
Answer:
A. 3/4
Step-by-step explanation:
[tex] \tan \angle E = \frac{6}{8} = \frac{3}{4} \\ [/tex]
1 point
1. Mr. Smith visited the park one sunny afternoon. He noticed that only
dogs and people were in the park that day. While he was resting on a park
bench, he observed that there were 15 heads and 50 legs in the park.
Which pair of system of equations can be used to determine the number
of dogs and the number of people in the park that day (use x = # of people;
y = # of dogs)?
x + y = 50: 2x + 4y = 15
x + y = 15, 4x + 2y = 50
X + y = 15:2x + 4y = 50
x + y = 50; 4x + 2y = 15
Answers
Answer:
x+y=15 ; 2x+4y=50
Step-by-step explanation:
Let x be the number of people
Let y be the number of dogs.
Equation regarding Total Heads:Total number of heads = 15
As
1 person has 1 head
1 dog has 1 head
Total no. of heads of people = 1 * x = x
Total number of heads of dogs = 1*y = y
Equation becomes:
x+y=15
Equation regarding Total Legs:Total number of legs = 50
As
1 person has 2 legs
1 dog has 4 legs
Total no. of legs of people = 2 * x = 2x
Total number of legs of dogs = 4*y = 4y
Equation becomes:
2x+4y=50
How are nongovernmental producers different from the federal government?
A. They can refuse to pay taxes.
B. Their goal is to make a profit.
C. They can regulate international trade.
D. Their existence is dependent upon competition.
Answers
Answer:
the differences between a non-profit organization and NGOs are: 1.The NGO is a non-governmental organization. Its funds are raised by the government, but it maintains a non-governmental position, with no need for a government council.
Step-by-step explanation:
WILL MARK BRAINLIEST! 30 PTS-----An equilateral triangle has what type of symmetry?
A.
line symmetry only
B.
point symmetry only
C.
both point and line symmetry
D.
neither point nor line symmetry
E.
both point and rotational symmetry
Answers
Answer:
A. line symmetry only.
equilateral triangles have 3 lines of symmetry
Which is constant term in the equation given in standard from 5x+3y=15
Answers
The constant term would be 15.
A constant term is a term that does not or can not be changed.
Hope this helps !
/ / * ANSWER PLS * / / MK and ML are tangent to circle J. If MK = 6x – 15 and ML = 2x + 9, find x.
Answers
Answer:
x=6
Step-by-step explanation:
As MK and ML are tangent to the circle, they are also congruent (MK = ML). Thus we can set the equation:
6x-15 = 2x+9
Now solve for x:
6x-2x = 9+15
4x=24
x=6
Answer:
B.
Step-by-step explanation:
MK and ML are tangents to a circle and " originating from the same point" so
MK=ML
Since MK = 6x-15 and ML = 2x+9
So,
6x-15 = 2x+9
6x-2x = 9+15
4x = 24
Dividing both sides by 4
So, we'll get
x = 6
If p(x) is a quadratic function and p(-1) = p(7) = 2,
which of the following could be the coordinates of
the vertex of the parabola formed when y = p(x) is
graphed in the xy-plane?
PLEASE EXPLAIN- I really don’t know:,)
(0,8)
(4,3)
(6,7)
(3,9)
Answers
Answer:
3,9
Step-by-step explanation:
hint: quadratic function
the form can be x² or x²+b or x²+bx+c
when p(-1)= 2 it means if we take x-axis = -1 the result (y-axis) will be 2. Same thing happen if we take x = 7
the vertex will always in the middle. So the middle of x = -1 and x = 7 is 3
-1, 0, 1, 2, 3, 4, 5, 6, 7
the vertex will occured when x = 3
the only answer with x = 3 is the fourth one (3,9)
Laura received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.63 per pound. After buying the coffee, she had $55.48 left on
her card. How many pounds of coffee did she buy?
Answers
Answer:
4 pounds
Step-by-step explanation:
Given the equation (x - 13) ^ 2 + y ^ 2 = 64 identify the center and radius
Answers
Answer:
radius is 8; center is at (13, 0).
Step-by-step explanation:
Compare the given (x - 13) ^ 2 + y ^ 2 = 64 to:
(x - h)^2 + (y - k)^2 = r^2. (h, k) represents the center
and r the radius.
Since 64 = r^2, r = the radius = 8 units = r
We also see that h = 13 and k = 0.
Thus, the center of the given circle is (13, 0).
Find the next term in the
sequence.
Simplify completely.
3
3,3
3, 3, [?]
Answers
Please answer this question as a fraction, will mark you the brainliest if ur right!
Answers
Answer:
P(RR) = 3/7 * 3/7 = 9/49
P(BB) = 4/7 * 4/7 = 16/49
We want to know P(RR) + P(BB)
P(RR) + P(BB) = 9/49 + 16/49 = 25/49
Step-by-step explanation:
An angle turns through
30
360
of a circle.
What is the measure of the angle?
A
12°
30°
С
330°
D
360°
need help please
Answers
Answer:
Not widely used. If you continue to increase an angle it will eventually 'double back' on itself and form a full 360° angle. This is the Full Angle. One could argue that this is the same as a zero-sized angle. But we generally mean the reflex angle and so it is a full circle or 360°. Adjust the angle above and try to create the full angle going around in both directions.
Step-by-step explanation: