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Related Questions
A cylinder has a radius of 4 inches and a height of 5 inches. If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders? Answer in terms of Pi.
Answers
Answer:
336π in²Step-by-step explanation:
Cylinder 1
r₁= 4 inh = 5 inCylinder 2
r₂ = 3*4 = 12 inh = 5 inSurface area of cylinders:
S = 2πr(r + h)S₁ = 2π*4*(4 + 5) = 72π in²S₂ = 2π*12*(12 + 5) = 408π in²The difference is:
S₂ - S₁ = 408π - 72π = 336π in²A cylinder has a radius of 4 inches and a height of 5 inches. If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders ? Answer in terms of Pi.
Answer:-Given:-A cylinder has a radius of 4 inches and a height of 5 inches.
To Find:-If the radius of the cylinder is tripled and the height remains the same to create a new cylinder, what will be the difference in the surface areas of the two cylinders ?
Solution:-Let in case of 1st cylinder,[tex] \bullet [/tex] Radius [tex] (r_1) [/tex] is 4 inches
[tex] \bullet [/tex] Height is 5 inches
And in case of 2nd cylinder,[tex] \bullet [/tex] Radius [tex] (r_2) [/tex] is 3 × 4 = 12 inches [as in the question it is given that the radius of the cylinder is tripled]
[tex] \bullet [/tex] Height is 5 inches
Now,
Surface area [tex] (s_1) [/tex] of 1st cylinder
is 2πr(r + h) = 2π × 4(4 + 5)
= 8π(9)
= 72π sq inches
Surface area [tex] (s_2) [/tex] of 2nd cylinder
is 2πr(r + h) = 2π × 12(12 + 5)
= 24π(17)
= 408π sq inches
[tex] \therefore [/tex] The difference in the surface areas of the two cylinders is = [tex] (s_2 \: - \: s_1) [/tex] = (408π - 72π) = 336π sq inches
The difference in the surface areas of the two cylinders is 336π sq inches. [Answer]A triangular portion of a baseball field is marked as shown below. To the
nearest tenth, what is the length of the side labeled c?
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Answer:
D. 1.6 yd
Step-by-step explanation:
Use the law of sines.
[tex] \dfrac{c}{\sin C} = \dfrac{a}{\sin A} [/tex]
[tex] \dfrac{c}{\sin 28^\circ} = \dfrac{2~yd}{\sin 36^\circ} [/tex]
[tex] c = \dfrac{2~yd \times \sin 28^\circ}{\sin 36^\circ} [/tex]
[tex] c = 1.6~yd [/tex]
DO NOT SEND ME PDFS!!!
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Part A: A homeowner wants to purchase new carpet for his rectangular living room, which is 8 feet wide and 12 feet long. What is the area of the carpet needed to completely cover the floor of the living room? Choose the correct answer.
A. 40 feet
B. 40 square feet
C. 96 square feet
D. 96 feet
Part B: Bianca wants to wrap a gift for her sister. The gift is in a box with a length of 10 inches, height of 2 inches, and depth of 3 inches. What is the minimum amount of wrapping paper Bianca needs to completely cover the box?
Part C: Greg had a rectangular vegetable garden that was 4 feet wide by 5 feet long. He increased the length of his garden by 2 feet and doubled the width. How many square feet larger is the area of his new garden compared to the area of his old garden? In a short paragraph, explain your answer in your own words.
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A man's salary is increased by $925 to $1036. Find the percentage increase. What would have been his new salary if the increase had been 16%
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Answer:
See the solutions below
Step-by-step explanation:
Initial Salary= $925
Final salary= $1036
% increase= Change/initial *100
substitute
% increase= 1036-925/925 *100
% increase=111/925 *100
% increase=0.12 *100
% increase=12%
2. Let us find 16% of $925
=16/100*925
=0.16*925
=$148
Hence the salary would have been
=148+925
=$1073
convert each of these fractions so that they share the lowest common denominator 3/4 4/5 and 5/6
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The lowest common denominator is 120.
Convert 3/4: 90/120
Convert 4/5: 96/120
Convert 5/6: 100/120
The sum of two numbers is 12 and there diffrence is 8 find the 2 numbers
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i hope you have a great day :)
Answer:
10 and 2
Step-by-step explanation:
a + b = 12
a - b = 8
let 'a' = 8 + b
substitute:
8 + b + b = 12
2b + 8 = 12
2b = 4
b = 2
a must be 10 then
6. CHALLENGE How many sides does a
regular polygon have if the measure of
an interior angle is 171°?
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Answer:
40
Step-by-step explanation:
It is given that the measure of interior angle of a polygon is 171∘ . So, the correct answer is “ 40 ”.
easy algebra question below first correct answer gets brainliest if you put a link you will be blocked and reported
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[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of areas,
we know that, area of rectangle = length * width,
here, length = x-2 and width = x-1
hence, area = (x-2) (x-1)
==> area = x^2 -x -2x +2
==> Area = x^2 - 3x + 2
hence the Option D.) is correct
if AB= 2x + 3 and BC= x + 7, find CD explain it too pls
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2x+3=x+7
x=4
So AB = 2(4)+3=11
CD is congruent (similar) to AB, so CD =11
the answer should be 11
Pls help me asapppp.
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Answer:
m a t h
Step-by-step explanation:
i am in middle school so i dont know
What is a simpler form of (3x-4)(x+2)?
Answers
Answer: 3x^2+2x-8
Step-by-step explanation:
Answer:
3xto the power of 2+2x -8
how many pickles grow on a tree a year
Answers
Answer:
50-65 days
Step-by-step explanation:
50-65 days
Pickling cucumbers should be ready to harvest between 50-65 days from planting and can be picked over the course of a several weeks. Growing pickling cucumber plants is just like growing other types of cucumber. They prefer a soil pH of 5.5, well-drained soil, and lots of nitrogen.
Which angles are congruent?? (Look at the picture)
Answers
Answer:
A. DEF=EDF
Step-by-step explanation:
Which of the following statements about a rhombus is not true?
A rhombus is a parallelogram.
A rhombus has two sets of parallel sides.
A rhombus has four sides of equal length.
A rhombus has four right angles.
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Answer:
„A rhombus has four right anglesv” → is not true.Step-by-step explanation:
This is a parallelogram. It is a quadrilateral with two pairs of parallel sides. Here, the opposite angles are alternate, that is, they have togheter 180°.
Rhombus
This is a rhombus. It is a quadrilateral whose four sides all have the same length. Here, the diagonals of a rhombus intersect at equal angles.
A rhombus has opposite angles equal and the figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa. It has an inscribed circle.
Good luck:)
A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people. The length of each block is the same and the length of 20 blocks is 1 mile.
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The question is incomplete. The complete question is :
A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people. The length of each block is the same and the length of 20 blocks is 1 mile.
a). What is the area in square miles of Orchard Hill?
b). What is the population density of the Orchard Hill Neighborhood, given as a number of people per square mile?
Solution :
It is given that :
The total population of Orchid Hill Neighborhood is = 360
The length of 20 blocks = 1 mile
So, 20 blocks = 1 mile
∴ [tex]$1 \text{ block} = \frac{1}{20} \text{ mile} $[/tex]
= 0.05 mile
So the length of the neighborhood is = 4 x 0.05
= 0.20 mile
The width of the neighborhood is = 3 x 0.05
= 0.15 mile
a). Therefore, the area of the Orchid Hill Neighborhood in square miles is
A = length x width
= 0.20 x 0.15
= 0.03 square miles
b). Population density is defined as the number of people living in an unit area.
i.e. [tex]$\frac{360}{0.03}$[/tex]
= 12,000 people per square mile
please helpppppp asap (triangle inequality theorem) show the work
Answers
Answer:
a - yes
b - no
Step-by-step explanation:
triangle inequality theorem - the sum of any 2 sides of a triangle must be greater than the measure of the third side
For a
5 + 4 must be greater than 7 for the set to be measures of the sides in a triangle
5 + 4 = 9
9 is greater than 7 therefore 4,5, and 7 can be measures of the sides in a triangle
For b
3 + 2 must be greater than 6 in order for the set to be measures of the sides in a triangle
3 + 2 = 5
5 is less than 6 therefore 2,3 and 6 can not be measures of the sides in a triangle
Round off 631 to the nearest 100
And also round off 8348 to the nearest 100
Answers
Answer:
600
8300
Step-by-step explanation:
Answer:
1) 600
2) 8300
Step-by-step explanation:
Okay so rounding is simple
If the place digits before the digit your rounding to is 1-4 then just everything stays the same. If its 5 or above then you round the number up and put everything else into 0s.
Quadrilateral ABCD is inscribed in this circle
What is the measure of angle A?
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Answer:
The four angles of a quadrilateral sum to 360 degrees.
If A and B are right angles then (2x+1) + 148 equal 180 degrees.
Therefore angle A = 32 degrees.
Step-by-step explanation:
4 3/8 divded by 3 1/3
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as fraction 21/16
decimal form- 1.3125
Mixed number- 1 5/16
Elena notices that when she spends less time on social media the night before a quiz she gets a higher test score. Before one quiz she spent 107 minutes on social media and earned 37 points on a quiz.!before another quiz she spent 73 minutes on social media and scored 41 points. Write a function to model a linear relationship between elenas social media usage in minutes and her quiz scores assuming that the total number of points on each quiz remains a constant?
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Step-by-step explanation:
CCC and I have a very different view on the situation than the one I have been using for me since 6AM when you have been in the same situation for me and my
The equation that represents the total score points will be y = - (4/34)x + 49.58.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\\[/tex]
The two points are (107, 37) and (73, 41).
Let 'x' be the number of minutes and 'y' be the total score. Then the equation is given as,
(y - 41) = [(41 - 37) / (73 - 107)](x - 73)
y - 41 = - (4/34)(x - 73)
y = - (4/34)x + 49.58
The equation that represents the total score points will be y = - (4/34)x + 49.58.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ3
if the vertex of a parabola is (0, -4), what is the axis of symmetry?
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If the vertex of a parabola is (0, -4). The equation of the axis of symmetry for this parabola is x = 0.
How to convert the given equation to vertex form?We first take out the coefficient of x squared, and then inside the bracket, we try to make a perfect square-like situation.
For parabolas, its axis of symmetry always goes through the vertex of the parabola.
In other words, the axis of symmetry is a vertical line that goes through the x-coordinate of the vertex.
Now, if the vertex of a parabola is (0, -4) which is at x = 0, y = -4.
Thus, the vertical line that goes through the coordinate of the vertex would be x = 0
Thus, the equation of the axis of symmetry for this parabola is x = 0.
Learn more about the vertex form of a quadratic equation here:
https://brainly.com/question/9912128
#SPJ2
SOMEBODY PLEASE HELP!!!!
Answers
Answer:
A the first one.
Step-by-step explanation:
NO SCAMMERS!!!! I WILL REPORT! MAX POINTS!!!!! ARCS & ANGLES NEED TO KNOW HOW TO DO IT. ANSWERS ALSO VERY MUCH APPRECIEATED !!!FRESHMAN CLASS GEOMETRY!!!
Answers
Answer:
[i] 12x + 5 = 1/2(83 +95)
12x + 5 = 89
12x = 84
x = 7.
[ii] 9x + 7 = 1/2(198 + 7x - 8)
18x + 14 = 198 + 7x - 8
11x = 176
x = 16.
[iii] 15x - 8 = 1/2(16x +1 + 5x + 19)
30x16 21x + 20
9x = 36
x = 4.
[iv] 20x - 4 = 360 - 2 × 72
20x = 220
x=220/20=11°
[v] 13x - 1 = 2(6x + 11)
13x - 1 = 12x + 22
x = 23.
[vi] 46 = 1/2(21x-5-x-23)
20x2892
20x = 120
x = 6.
[vii] 6x - 21 = 1/2(13x - 3-3x - 11)
12x - 4210x - 14
2x = 28
x = 14.
[viii] 2x + 1 = 1/2(9x − 14 − 4x + 7)
4x + 2 = 5x - 7
x = 9.
[ix] 9x - 4 = 180 - 76
9x - 4 = 104
9x = 108
x = 12.
Hey guy can you pls help me find the area and pls show your working
*links are not allowed*
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Step-by-step explanation and Answer :)
So we can split this shape into a few easier shapes to solve the area!
There are multiple combinations:
rectangle, triangle, and another rectangle
rectangle, trapezium
The second option is faster so lets use that :)
[tex]187m^{2}[/tex]
You should draw a dotted line across the top of the rectangle so now there is a rectangle on the bottom and a trapezium on the top!
[tex]A_{square} = b * h\\A_{square} = 16 * 6\\A_{square} = 96m^{2} \\\\\\A_{trap} = \frac{(a + b)h}{2}\\[/tex]
[tex]A_{trap} = \frac{(10 + 16)7}{2}\\\\A_{trap} = \frac{(182)}{2}\\\\A_{trap} = 91 m^{2}[/tex]
96 + 91 = [tex]187m^{2}[/tex]
Hope this helps!
Please mark as brainliest (Press the crown) :0
-2x=x^2-6−2x=x 2 −6minus, 2, x, equals, x, squared, minus, 6 1) Rewrite the equation by completing the square.
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Answer:
(x+1)² = 7
Step-by-step explanation:
Given the expression
-2x = x² - 6
Rewrite
x² - 6 + 2x = 0
x²+2x-6 = 0
Add 6 to both sides
x²+2x-6+6 = 0+6
x²+2x = 6
Add square of half of coefficient of x to both sides
Coefficient of x = 2
Half of Coefficient of x = 2/2 = 1
Square of half of Coefficient of x = 1² = 1
Add 1 to both sides
x²+2x + 1= 6 + 1
Factorize the LHS
x²+x+x + 1 = 7
x(x+1)+1(x+1) = 7
(x+1)(x+1) = 7
(x+1)² = 7
hence the equation rewritten by completing the square method is
(x+1)² = 7
i need help with 6 and 7! please help asap!! and explain why
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Answer: I would say 6 its a function and 7 its not because in number seven the x value repeats so it can't be a function and number 6 the x-value its not the same
Step-by-step explanation: When the x-value repeats its not a function if the y-value repeats it doesn't matter
5/6 + 7/9
help me pls
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Decimal form:1.61
Mixed number form: 1 11/18
There is a line that includes the point (4, – 10) and has a slope of 8. What is its equation in point-slope form?
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y=8x+c
-10=8(4)+c
-10=32+c
-42=c
y=8x-42
pls help its the last question
Answers
Answer:
Step-by-step explanation:
9.2 to 9.3 the top right one
Identify the slope and the y-intercept of the following equation 1/2x - 1 = y
b =
m =
uto: Which is the “first point” given, the slope or the y-intercept ?
Answers
Answer:
see below
Step-by-step explanation:
Our equation is y = 1/2x - 1. This mirrors our standard linear parent function of y = mx + b.
m is the slope and b is the y-intercept.
From this, we can see that
m = 1/2
and
b = -1.
The first point given is the y-intercept because with y-intercepts, we know the coordinates right away. A y-intercept's coordinates will always have an x-value of 0. This allows it to lie on the y-axis, hence the name. Our y-value of the coordinates is given with the b value of the equation. Therefore, by simply looking at the end of the equation, we know our first point.
Hope this helps!
