List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR ordered Pairs (x, y)
Answers
Answer:
(500,0) , (300,0), (200,200) and (300,200)
Step-by-step explanation:
The region of the graph we are concerned with is that small portion which is shaded.
We need the coordinates that bounds this portion of the graph.
These coordinates are four in number and they are as identified by noticing the four points that surround the portion then making tracings from these points to the x and y axes respectively.
We proceed as follows;
The four points we are looking at in no particular order are;
(500,0) , (300,0), (200,200) and (300,200)
The points having coordinates that have y = 0 are those that are domiciled on the x-axis
We have two of these points which are on the x-axis.
Related Questions
Show the pair of straight lines are perpendicular.
C number.
Answers
Answer:
not perpendicular
Step-by-step explanation:
perpendicular line has opposite reciprocal slope
√3x-2√3 y=13
-2√3y=13-√3x
y=-13/(2√3)+√3 x/2√3
y=1/2 x-13/2√3 ( slope is 1/2)
6x-3y+11=0
-3y=-11-6x
y=-11/-3+6x/3
y=2x+11/3 slope =2
EF is a median of trapezoid ABCD. What is the value of x?
Answers
Answer:
x = 4
Step-by-step explanation:
The midsegment ( median is equal to half the sum of the parallel bases, that is
[tex]\frac{AB+CD}{2}[/tex] = EF, substitute values
[tex]\frac{4x-10+3x+8}{2}[/tex] = 13 ( multiply both sides by 2
7x - 2 = 26 ( add 2 to both sides )
7x = 28 ( divide both sides by 7 )
x = 4
1. Arjun puts £750 into his savings account. The account earns 5% simple interest per annum. After 4 years, how much money will Arjun have in his savings account? £ 1. Connor invests £1500 of his money for 2 years at a simple interest rate of 10%. How much money will he get back in interest?
Answers
Answer:
1. 900
2. 350
Step-by-step explanation:
the formula,
A= P(1+rt)
A= final amount
P= starting amount
r= intrest rate
t= time
1. A=750(1+.05*4)
A=750(1.2)
A=900
2. A=1500(1+.1*2)
A=1500(1.1)
A=1650
But theyre
asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned
1650-1500=350
in 2 h, kelly laid new floor tile over 1/5 of the room. when she was joined by annette, the rest of the work was completed in 3h. how long would it have taken annette to do the entire job alone
Answers
Answer: Annette will take 6 hours to do the entire job alone.
Step-by-step explanation:
Given: Time taken by Kelly to do [tex]\dfrac{1}{5}[/tex] of job = 2 hours
i.e. Time for complete job done alone by Kelly =[tex]5\times2=10\ hours[/tex]
Rest of work = [tex]1-\dfrac{1}{5}=\dfrac{4}{5}[/tex] of the job
[tex]\dfrac{4}{5}[/tex] of the complete job done by both Kelly and Annette in 3 hours
Time would be taken by then to do entire job together = [tex]3\times\dfrac{5}{4}=3.75\ hours[/tex]
Let t be the time taken by Annette to do job alone.
Then, as per situation
[tex]\dfrac{1}{3.75}=\dfrac{1}{10}+\dfrac{1}{t}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{3.75}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{4}{15}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow\ t=6[/tex]
hence, Annette will take 6 hours to do the entire job alone.
Simplify each expression. 6mn3 -mn2 + 3mn3 +15mn2??
Answers
Answer:
9m(n)^3 +14m(n)^2
Step-by-step explanation:
6m(n)^3 - m(n)^2 + 3m(n)^3 + 15m(n)^2
=> 6m(n)^3 + 3m(n)^3 + 15m(n)^2 - m(n)^2
=> 9m(n)^3 +14m(n)^2
The Goodsmell perfume producing company has a new line of perfume and is designing a new bottle for it. Because of the expense of the glass required to make the bottle, the surface area must be less than 150 cm2. The company also wants the bottle to hold at least 100mL of perfume. The design under consideration is in the shape of a cylinder. Determine the maximum volume possible for a cylindrical bottle that has a total surface area of less than 150 cm2. Determine the volume to the nearest 10mL. Report the dimensions of the bottle and the corresponding surface area and volume. This cylindrical perfume bottle needs to be boxed in a prism for sale on store shelves. The Goodsmell perfume producing company would like a box with the smallest possible surface area which will hold your design for the perfume bottle. Report the dimensions of the box and the corresponding area and volume. The pretty perfume company, Goodsmell’s competition, has also designed a new perfume bottle. The bottle is to be a spherical shape with a diameter of 7cm. Determine the volume and surface area of this bottle. The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this information, calculate the volume and surface area of the lid of the spherical shaped bottle. Determine the dimensions of the smallest possible box which could be used to package Pretty Perfume’s new bottle with its spherical bottle and conical-shaped lid. However, this box is not shaped like a rectangular prism. Pretty Perfume would like to have unique packaging and have chosen to have a box shaped like a pyramid. Calculate the volume and surface area of this pyramid shaped box. The Final Product: Prepare a written report that includes: A clear and concise explanation of the process that you used to solve the problem. The calculations that you made, presented in an organized fashion. A rationale (reason) for your selection of values.
Answers
Answer:
1. r = 2.82 cm
h = 5.6 cm
The maximum volume possible to the nearest 10 mL = 140 mL
2. Size side of square base of box is 5.64 cm
Height of box = 5.6 cm
The surface area of the box is 189.96 cm²
The volume of the box is 178.13 cm³
3. The procedure for solving the problem was through noting that the shape of the cross-section of the pyramid is an isosceles triangle ans also that smallest possible box for the pretty perfume is one which fits the angle of inclination of the lid. This was found out by initially using the combined height of the perfume and the lid (placed to fit the spherical outline of the bottle) to calculate the dimensions of the pyramid, from which it was observed that the angle of inclination of the lid is larger than that of the calculated dimension, such that the lid outline would be visible and could eventually tear the perfume box
With the inclination angle, β, which is the base angle of the isosceles triangle, the angle at the top of the pyramid cross-section is calculated and the following relations are used to calculate the triangular cross-section of the pyramid
h = a·cos(α/2)
b = 2·a·cos(β)
[tex]r = \dfrac{b}{2}\sqrt{\dfrac{2a - b}{2a + b}}[/tex]
[tex]R = \dfrac{a^{2}}{\sqrt{4a^{2}-b^{2}}}[/tex]
With the calculated dimensions, a, b, and h the area, A, of the square pyramid is calculated as 2×b×a + b² and the volume, V, as 1/3×b²×h
The attached diagram shows the the cross-section of the perfume in the pyramid box.
Step-by-step explanation:
1. The surface area of the cylinder = 2πr² + 2πrh = 150 cm².........(1)
The volume of the cylinder, V = πr²h = 100 mL = 100 cm³..............(2)
From equation (2), h = 100/(π·r²)
Substituting the value if h in equation (1), we have;
2πr² + 2πr100/(π·r²) = 150
2πr² + 200/r = 150
(2πr³ + 200)/r = 150
2πr³ + 200 = 150×r
2πr³ -150·r+ 200 = 0
150 = 2πr² + 2πrh
h = (150 - 2πr²)/(2πr)
h = (75- πr²)/(πr)
Substituting the value of h in the equation for the volume, we have;
V = πr²h = πr²(75- πr²)/(πr)
V = 75·r - π·r³
At maximum volume, dV/dr = 0, we have
d(75·r - π·r³)/dr = 75 - 3·π·r²= 0
3·π·r²= 75
π·r² = 25
r = 5√π/π
h = (75- πr²)/(πr) = (75- π(5√π/π)²)/(π(5√π/π)) = (75 -25)/(5·√π)
h = 50/(5·√π)= 10·√π/π
The maximum volume = πr²h = π×25/π×10·√π/π = 250·√π/π = 141.05 cm³
The maximum volume possible = 141.05 cm³ = 141.05 mL
The maximum volume possible to the nearest 10 mL = 140 mL
The dimensions of the bottle are;
r = 2.82 cm
h = 5.6 cm
The surface area of the bottle = 2π(2.82)² + 2π×2.82 ×5.6 = 149.2 cm
2
Given that the cylindrical bottle has r = 2.82 cm and h = 5.6 cm, we have;
Size side of square base of box = 2 × 2.82 = 5.64 cm
Height of box = 5.6 cm
The surface area of the box = 2 × Area of base + 4 × Area of side
The surface area of the box = 2 *5.64^2 + 4 * 5.6 * 5.64 = 189.96 cm²
The volume of the box = Area of base × Height = 5.64^2*5.6 = 178.13 cm³
3. Diameter of spherical bottle = 7 cm = 2×r
Volume of the sphere bottle = 4/3πr³ = 4/3*3.5^3*π = 343/6·π = 179.6 cm³
The surface area of the sphere bottle = 4πr² = 4*(7/2)^2*π = 49·π = 156.94 cm²
3 i. The volume of a cone = 1/3πr²h = 1/3*(5/2)^2*4.5 = 9.385·π = 29.45 cm³
The surface area of a cone = πrS
S = √(4.5^2 + (5/2)^2) = 5.15
The surface area of a cone = π*2.5*5.15 = 40.43 cm²
3 ii. The depth of fitness of the lid on the bottle = 7/2 - √(7/2)^2 - 2.5^2) = 1.05
The total height of the spherical bottle with the conical lid = 7 + 4.5 - 1.05 = 10.45 cm
3 iii. Given that the box is shaped like a pyramid we have;
Width of the box at middle of the height of the spherical bottle = 7 cm
Height of the box = 10.45 cm
[tex]r = \dfrac{b}{2}\sqrt{\dfrac{2a - b}{2a + b}}[/tex]
[tex]R = \dfrac{a^{2}}{\sqrt{4a^{2}-b^{2}}}[/tex]
With the aid of a graphing calculator, the width of the square pyramid is found to be 12.12 cm
The volume = 1/3*12.12^2*10.45 = 511.68 cm²
The surface area = 2*12.12*√(12.12/2)^2 + 10.45^2) +12.12²= 439.7 cm²
The angle of inclination of the lid = tan⁻¹ (4.5/2.5) = 60.95°
The angle of inclination of the calculated box is tan⁻¹ (10.45/6.06) = 59.88
Since the lid is steeper, we make use of the angle of the lid
The base angles are thus = 60.95°
The angle at the top is thus 180 - 60.95*2 = 58.11°
Therefore, by the formula, we find that
a = 12.25 cm
b = 11.897 cm
h = a·cos(α/2)
h = 10.707 cm
The volume = 1/3*11.897^2*10.707 = 505.15 cm³
The surface area = 2*11.897*√(11.897/2)^2 + 10.707^2) +11.897²= 432.98 cm²
The angle at the top of the box = 2
Given that:
r = 2.82 cmh = 5.6 cmThen the maximum volume possible to the nearest 10 mL =
140 mLGiven that:
The size side of square base of box is 5.64 cmHeight of box = 5.6 cmHence, the surface area of the box is
189.96 cm²The volume of the box is :
178.13 cm³What is Surface Area?This refers to the measure of the total area of an object.
The written report:The procedural method used to solve the problem was to identify the shape of the pyramid, then finding out the smallest possible box for the pretty perfume and then using the calculated dimensions, found the answers.
Read more about surface area here:
https://brainly.com/question/76387
On a multiple choice test with 13 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the standard deviation for the number of correct answers.
Select one:
A. 1.875.
B. 1.53.
C. 1.47.
D. 1.5.
E. 1.561.
Answers
Answer: E. 1.561.
Step-by-step explanation:
Given, Total choices for each question =4
Probability that a particular answer is correct : p = [tex]\dfrac{1}{4}=0.25[/tex]
Sample size : n= 13
Formula for standard deviation: [tex]\sigma=\sqrt{np(1-p)}[/tex]
Put all values, we get
[tex]\sigma=\sqrt{13(0.25)(1-0.25)}=\sqrt{13(0.25)(0.75)}[/tex]
[tex]\sigma=\sqrt{2.4375}\approx1.561[/tex]
Hence, the standard deviation is 1.561.
So, the correct option is E.
someone please help!!
Answers
Each tick on the graph represents a single unit.
Thus, counting the ticks, we see that the graph starts at x=2. We also see that the graph ends at x=5.
Thus, the domain is [tex]2 \leq x \leq 5[/tex]
Let me know if you need any clarifications, thanks!
Which value of m will create a system of parallel lines with no solution? y=mx-6 8x-4y=12 A coordinate grid with one line labeled 8 x minus 4 y equals 12. The line passes through a point at (0, negative 3), (1, negative 1) and a point at (1.5, 0). -2 - 2
Answers
Answer:
A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2
Step-by-step explanation:
The equation of the given line is 8·x - 4·y = 12
Which gives;
8·x- 12= 4·y
y = 2·x - 3
Given that the line passes through the points (0, -3) and (1, -1), we have;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;
[tex]Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2[/tex]
y - (-3) = 2×(x - 0)
y = 2·x - 3 which is the equation of the given line
For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x - 6 to have no solution, the slope of the two lines should be equal that is m = 2
Given that the line passes through the point (1.5, 0), we have;
y - 0 = 2×(x - 1.5)
y = 2·x - 3...................(1)
For the equation, y = m·x - 6, when m = 2, we have;
y = 2·x - 6..................(2)
Solving equations (1) and (2) gives;
2·x - 3 = 2·x - 6, which gives;
2·x - 2·x= - 3 - 6
0 = 9
Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.
Answer:
short answer is 2 or d
Step-by-step explanation:
The Hernandez family ordered one jumbo pizza with a diameter of 20 inches, cut it into 15 equal slices, and had 3 slices left over after dinner. The Mullins family ordered two medium pizzas, each with a diameter of 12 inches, cut them into 8 equal slices each, and had 6 slices left over after dinner. How much pizza did the Mullins family eat as a fraction of the pizza the Hernandez family ate?
Answers
Answer: Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex] , where r is the radius
Given, Diameter of Hernandez family's pizza = 20 inches
Radius = [tex]\dfrac{20}{2}[/tex] = 10 inches
Area of Hernandez family's pizza = [tex]\pi (10)^2=100\pi \text{ in.}^2[/tex]
Since, they divide pizza into 15 pieces , area of each slice = [tex]\dfrac{100\pi}{15}=\dfrac{20}{3}\pi\text{ in.}^2[/tex]
They left with 3 slices i.e. they ate 12 slices, area of all 12 slices = 12 x (area of each slice)
= [tex]12\times\dfrac{20}{3}\pi\text{ in.}^2= 80\pi\text{ in.}^2[/tex]
Diameter of Mullins family's pizza = 12 inches
Radius = [tex]\dfrac{12}{2}[/tex] = 6 inches
Area of Mullins family's pizza = [tex]\pi (12)^2=144\pi \text{ in.}^2[/tex]
Since, they divide pizza into 8 pieces , area of each slice = [tex]\dfrac{144\pi}{8}=18\pi\text{ in.}^2[/tex]
They left with 6 slices i.e. they ate 2 slices, area of all 2 slices = 2 x (area of each slice)
= [tex]2\times18\pi\text{ in.}^2=36\pi\text{ in.}^2[/tex]
Since, [tex]\dfrac{36\pi}{80\pi}=\dfrac{9}{20}[/tex]
Hence, Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.
In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross the x-axis?
Answers
Answer:
([tex]\frac{3}{5}[/tex] b, 0 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - [tex]\frac{5}{3}[/tex] and b = b , thus
y= - [tex]\frac{5}{3}[/tex] x + b ← equation of line
The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is
- [tex]\frac{5}{3}[/tex] x + b = 0 ( multiply through by 3 to clear the fraction )
- 5x + 3b = 0 ( subtract 3b from both sides )
- 5x = - 3b ( divide both sides by - 5 )
x = [tex]\frac{3}{5}[/tex] b , thus
x- intercept = ( [tex]\frac{3}{5}[/tex] b, 0 )
Answer:
( b, 0 )
Step-by-step explanation:
Alguien que sepa cómo se resuelve ésto que me ayudé a solucionarlo,es urgente,doy 25 puntos
Answers
38 42 34 54
Step-by-step explanation:
7have the best mayonnaise bianco babi naive albino pig is this real or not be a posible and I am a great day for 53feet
PLEASE HELP!!!!!!!
Find the Volume of the sphere rounded to the nearest hundredth
Answers
Answer:
14130 yd^3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
The diameter is 30 so the radius is d/2 = 30/2 = 15
V = 4/3 pi (15)^3
V = 4500 pi
Letting pi = 3.14
V = 14130 yd^3
Answer:
Last one
Step-by-step explanation:
The volume of the sphere is given by the relation:
V = [tex]\frac{4}{3}[/tex]*π*r³ r is the radius wich is here 30/2 = 15V= [tex]\frac{4}{3}[/tex] *π* 15³
V= 14137.166 yd³
wich is approximatively 14130yd³
Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if exactly two of the triplets are in the starting lineup?
Answers
Answer:
990 ways to choose 6 starters out of 14 with exactly two of the three triplets.
Step-by-step explanation:
Ways to choose 2 of the triplets
= C(3,2) = 3! / (2!1!) = 3
Ways to choose the remaining 4 starters out of 11 players left
= C(11,4) = 11! / (4!7!) = 330
Total number of ways to choose 6 starters
= 3*330 = 990
What is the slope of the graph?
Answers
Answer:
-2
Step-by-step explanation:
The slope formula is
m = ( y-2-y1)/(x2-x1)
Using two points on the line (0,4) and (2,0)
m = ( 0-4)/(2-0)
= -4/2
=-2
Answer:
-2
Step-by-step explanation:
Slope is change in y over change in x
the change in y is -2 and the change in x is 1 so you do -2/1 and that as a whole number is -2.
A penny is dropped from a height of 144 feet. Calculate the time between when the rock was dropped and when it landed. If we choose
"down" as positive and ignore air friction, the function is h(t) 16t2 - 144.
Answers
Answer:
3 seconds
Step-by-step explanation:
Given the function :
h(t) = 16t2 - 144.
h = height = 144 and t = time after t seconds the ball penny was dropped.
When the penny lands, h = 0
Therefore, our function becomes ;
16t2 - 144 = 0
The we can solve for t
16t^2 - 144 = 0
16t^2 = 144
Divide both sides by 16
(16t^2 / 16) = 144 / 16
t^2 = 9
Take the square root of both sides
t = 3
Therefore, the time between when the rock was dropped and when it landed is 3seconds
Answer:
t = 3 seconds
Step-by-step explanation:
If f(x) = x-5, ther match each of the following.
4
1 f(-1)
-6
2. f(0)
3. f(1)
-3
4. f(2)
3
5. f(5)
-5
6. f(8)
0
Answers
Answer:
1. f(-1) = -6
2. f(0) = -5
3. f(1) = -4
4. f(2) = -3
5. f(5) = 0
6. f(8) = 3
Step-by-step explanation:
1. f(-1)=-1-5=6
substitute the x value into the equation.
2. f(0)=0-5=-5
3. f(1)=1-5=-4
4.f(2)=2-5=-3
5. f(5)=5-5=0
6. f(8)=8-5=3
PLZZZ HELP WILL GIVE BRAINLIEST !!!!! NEED THIS FAST PLZZZ
Answers
Answer:
8
Step-by-step explanation:
Let's denote the number of members ordered chicken a, the number of members ordered beef b.
We have:
a + b = 12 (total number of members is 12)
10a + 14b = 136 (the chicken costs 10$, the beef costs 14$)
a + b = 12 => a = 12 - b
Substitute a into second equation, we have:
10(12 - b) + 14b = 136
=> 120 - 10b + 14b = 136
=> 4b = 16
=> b = 4
=> a = 12 - b = 12 - 4 = 8
=> Number of members ordered chicken: a = 8
plz help, will give brainiest
(08.01, 08.02, 08.03 HC)
Create a factorable polynomial with a GCF of 3x. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)
Answers
Answer:
4x^2 + 8x + 4
4(x^2 + 2x + 1) - remove GCF of 4
4(x + 1)(x + 1) - factor
4(x + 1)^2 - collect like terms
Step-by-step explanation:
Then also expand it out by distributing:
21x^3 + 35x²
Form 1:
21x^3 + 35x² - unfactored
Form 2:
7x²(3x + 5) - factored with GCF of 7x² brought to the front
Update:
You could also multiply two binomials and make a quadratic.
Example:
(7x + 2)(3x + 5)
7x(3x + 5) + 2(3x + 5)
= 21x² + 35x + 6x + 10
= 21x² + 41x + 10
The favorable polynomial with a GCF of 3x will be 21x² + 41x + 10.
What is a polynomial?
A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The polynomial will be solved as below:-
21x³ + 35x²
Form 1:
21x³ + 35x² - unfactored
Form 2:
7x²(3x + 5) - factored with GCF of 7x² brought to the front
You could also multiply two binomials and make a quadratic.
E = (7x + 2)(3x + 5)
E = 7x(3x + 5) + 2(3x + 5)
E = 21x² + 35x + 6x + 10
E = 21x² + 41x + 10
To know more about polynomials follow
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What is the value of y in the solution to the system of equations? One-thirdx + One-fourthy = 1 2x – 3y = –30 –8 –3 3 8
Answers
Answer:
8 hopefully
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
The distance from Parrot Point Airport to the Ivy Cliffs is 178 miles at and angle of 7.1 degrees northeast. There is a wind blowing southeast at 30 miles per hour. You want to make this trip in 2 hours by flying straight there. At what speed* and heading should you fly? * Round the speed to the nearest tenth of a mile per hour and angle to the nearest tenth of a degree. Where north is 0 degrees and positive is clockwise.
Answers
Answer:
The speed is 74.0 miles per hour and the angle is 65.1° north-east
Step-by-step explanation:
We resolve the distance moved by the wind and plane into horizontal and vertical components. The direction moved horizontally by the plane is 178sin7.1 = 22 miles.
Since the wind is moving south east, it is at 45 south of east or a bearing of 135.
Since the wind speed is 30 mph and it takes 2 hours to complete the trip, the horizontal distance moved by the wind is vtcos135 = 30 × 2cos45 = 42.43 miles
Also, the vertical displacement moved by the wind is vtsin135 = -30 × 2 sin45 = -42.43 miles
The displacement moved vertically by the plane is 178cos7.1 = 176.64 miles
The total horizontal displacement of the plane is 22 miles + 42.43 miles = 62.43 miles
The total vertical displacement of the plane is 176.64 miles - 42.43 miles = 134.21 miles
The resultant displacement is thus d = √(62.43² + 134.21²) = 148.02 miles
The direction of this displacement is thus
Ф = tan⁻¹(total vertical displacement/total horizontal displacement)
= tan⁻¹(134.21/62.43)
= tan⁻¹(2.1498)
= 65.05°
= 65.1° to the nearest tenth degree.
The speed is thus v = distance/ time = 148.02 miles/ 2 hours = 74.01 mph ≅ 74 mph. Since the direction of the displacement is the direction of the velocity, the velocity is thus 74 miles per hour at 65.1° north-east.
So the speed is 74.0 miles per hour and the angle is 65.1° north-east
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation? because both triangles appear to be equilateral because∠MNL and ∠ONP are congruent angles because one pair of congruent corresponding angles is sufficient to determine similar triangles because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN
Answers
Answer:
The correct option is;
Because ∠MNL and ∠ONP are congruent angles
Step-by-step explanation:
From the diagram shown in the question, ∠MNL and ∠ONP are vertically opposite angles as they are formed by crossing of the lines LP and MO making them congruent, that is ∠MNL ≅ ∠ONP
Given that two angle of triangle LMN are congruent to two angles of triangle PON , then by the Angle Angle (AA) rule of similarity, triangle LMN and PON are similar.
The information in the diagram enough to determine that △LMN ~ △PON because∠MNL and ∠ONP are congruent angles.
What are Congruent angles?These are referred to angles which have an equal measure. From the diagram ,vertically opposite angles are formed by crossing of the lines LP and MO thus,we can deduce that ∠MNL and ∠ONP are congruent angles.
This means that there is enough information to determine that △LMN ~ △PON using a rotation about point N and a dilation.
Read more about Congruent angles here https://brainly.com/question/1563325
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Is the following relation a function?
Answers
Answer:
No, Given relation is not a function.Explanation:
We know that , if any vertical line cuts the given graph of relation at exactly one point, then the relation can be called as function.
From Given graph , we find that the vertical line through any point on x-axis greater than zero (ex : X = 5) cuts the graph at more than one point.
Hence, Given relation is not a function.
Hope this helps...
Good luck on your assignment...
Calculate the area of the regular hexagon ABCDEF.
A. 150 u^2
B. 259.8 u^2
C. 300 u^2
D. 519 u^2
Answers
Answer:
B. 259.8 u²
Step-by-step Explanation:
The area of a regular hexagon is given as:
[tex] Area = \frac{3\sqrt{3} }{2} a^{2} [/tex]
Where a = side length of the hexagon
Thus, the area of the regular hexagon with a given side length, a = 10, is calculated as follows:
[tex] Area = \frac{3\sqrt{3} }{2} a^{2} [/tex]
[tex] Area = \frac{3\sqrt{3} }{2}* 10^{2} [/tex]
[tex] = \frac{3\sqrt{3} }{2}* 100 [/tex]
[tex] = \frac{3*1.7321 }{2}* 100 [/tex]
[tex] = \frac{5.1963 }{2}* 100 [/tex]
[tex] = \frac{519.63 }{2} [/tex]
[tex] Area = 259.815 [/tex]
The area of the regular hexagon ≈ 259.8 u²
What is the solution of this system of linear equations?
A. (1, 0)
B. (0,0)
C. (0, 1)
D. X=0
Graph is attached , help quick please
Answers
Answer:
The answer is C.
Step-by-step explanation:
In order to find the solution of the linear equation, you have to find the coordinates where they intersect.
So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).
(Correct me if I am wrong)
The population of a city increase exponentially at a rate of x% every 5 years
In 1960 the population was 60100
In 2015 the population was 120150
Calculate the value of x
Answers
Answer:
1.1460277. Put in your decimal place given to you.
This is the percentage rate.
Step-by-step explanation:
f(x)=0=60100
55=120150
60100=a*b^0
120150/60100=60100/60100*b^5
b^5^(1/5)=5square root(120150/60100)=1.14860277
Amanda just bought a skirt at the GAP that is usually $40 but was marked 20% off.how much did Amanda pay for the skirt?
Answers
Answer:
$32
Step-by-step explanation:
the skirt is on sale. 40 times 0.20 (because of 20 divided by 100) is 8. That means that the skirt is $32 since $40-$8=$32.
Answer:
$32
Step-by-step explanation:
discount is $8
find the rules for these sequence
Answers
Answer:
start with -29, multiply each term by 4
start with 60, multiply each term by 0.1
start with 97 and multiply each term by 0.5
3.03 cells
Step-by-step explanation:
1. The first sequence begins with -29. -116 ÷ -29 = 4, -464 ÷ -116 = 4, etc. Each value is multiplied by 4 to get the next value.
2. The second sequence begins with 60. 6 ÷ 60 = 0.1, 0.6 ÷ 6 = 0.1, etc. Each value is multiplied by 0.1 to get the next value.
3. The colony starts with 97 cells. Splitting into two is the same as multiplying by 0.5.
4. Multiply 97 by 0.5, 5 times for 5 minutes.
97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03
Jenny wants to know the perimeter of the bottom of her tent. It is a rectangle with side lengths of 11 ft. And 7 ft. Which is the perimeter of the bottom of her tent?
Answers
Answer:
36 ft.
Step-by-step explanation:
11+11+7+7=
22+14= 36
Answer:
36 ft
Step-by-step explanation:
The rectangle's sides lengths are 7 ft and 11 ft, wich are the width and the length.
The formula of the perimeter is:
P= 2w+2L with w the width and L the length
P= 2*7+2*11
P= 14+22
P= 36 ft
The perileter is 36 ft
Pls help me with this question
Answers
Answer:
[tex]\sqrt[5]{x^7}[/tex]
or (x ^ 1/5) ^7
or ([tex]\sqrt[5]{x}[/tex])^7
Step-by-step explanation:
x ^ 1.4
Rewriting the decimal as an improper fraction
x ^ 14/10
x ^ 7/5
The top is the power and the bottom is the root
[tex]\sqrt[5]{x^7}[/tex]
or (x ^ 1/5) ^7
or ([tex]\sqrt[5]{x}[/tex])^7