Answer:
68
Step-by-step explanation:
Circletown's limits form a perfectly circular shape. It has a population of
20,000and a population density of 480 people per square kilometer. What is the radius of circle town
Answer:
3.64 Km.
Step-by-step explanation:
Given,
Total population = 20,000 people
Population density = 480 people per square kilometer
Area of the circle town
[tex]A = \dfrac{20000}{480}[/tex]
[tex]A = 41.667\ km^2[/tex]
Radius of the circle town
[tex]\pi r^2 = 41.667[/tex]
[tex]r = 3.64\ km[/tex]
Hence, the radius of circle town is equal to 3.64 Km.
Answer:
3.64
Step-by-step explanation:
The cylinder’s diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?
Answer:
A = 7,241.2454026112 square mm.
or exact : A = 2,304.96*π sq mm
Step-by-step explanation:
Cylinder formula: A = π* r^2 + 2 *π * r* h + π*r^2
is the surface area.
d = 2r = 39.2 mm
h = 39.2 mm
r = 19.6 mm
A = π* r^2 + 2 *π * r* h + π*r^2
A = 2* π* (19.6)^2 + 2π (19.6)*(39.2)
A = 2,413.748467537 + 4,827.496935
A = 7,241.2454026112 square mm.
or
A = 2*pi* (768.32 + 384.16)
A = 2*1,152.48* pi
A = 2,304.96*π sq mm
[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]
Question :-
The cylinder's diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?Answer :-
The surface area of the cylinder is 7238 mm².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{19.6 \: mm}}\put(9,17.5){\sf{39.2 \: mm}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the diameter of the cylinder is 39.2 mm. Thus, the radius of the cylinder is 19.6 mm. The height of the cylinder is 39.2 mm. We have been asked to find or calculate the surface area of the cylinder.
To calculate the surface area of the cylinder, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(19.6 \: mm)^2 + (2)(3.14)(19.6 \: mm)(39.2\:mm) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(384.16 \: mm^2) + (2)(3.14)(768.32\:mm^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(1206.2624 \: mm^2) + (2)(2412.5248 \: mm^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2412.5248 \: mm^2 + 4825.0496 \: mm^2 [/tex]
[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 7238 \: mm^2 \: (nearest\:tenth)}[/tex]
Therefore :-
The surface area of the cylinder is 7238 mm².[tex]\\[/tex]
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Have a great day! <33
Lucy is a dress maker. She sees 4/7 of a dress in 3/4 hour. How many dresses will Lucy sew in 1 hour
Answer:
for this we'll have to get 4/3
Multiply 3 from 4 which will give us 4/7 x 4/3. That should give us 1 hour: 16/ 21 dresses
hope this helps lmk :)
PLEASE HELP TRIG 20 points!! I am standing on a 50 foot cliff in Laguna Beach California looking at my two dogs sitting on the beach below. If my line of sight is 6 feet above the ground in the angles of depression or 51 and 37 how far apart are the dogs
Answer:
28.97 feet
Step-by-step explanation:
Please refer to the attached image for explanations
The human eye can sharply see objects within a 15 Dagrees horizontal angle either side of the direction of focus. Arlo is designing a video presentation to be shown on a cylindrical screen that viewers will stand inside. The screen circumference is 120 feet. What is the maximum width of an image that can be viewed clearly in a glance from somewhere in the viewing area?
Answer:
Maximum width of image that can be viewed clearly on the cylindrical screen is 10 ft
Step-by-step explanation:
Here we have
Circumference of screen = 2πr = 120 ft
Angle that can be viewed horizontally either side of focus = 15°
Total angle view = 30°
Size of image that can be viewed = Object within 30° of focus
Maximum width of image that can be viewed clearly = Perimeter of 30° arc section of cylinder
Maximum width of image that can be viewed clearly = 30/360×120 ft = 10 ft.
Maximum width of image that can be viewed clearly on the cylindrical screen = 10 ft.
What to multiply 2/3 by
PLEASE HELP URGENT!!!!!!!!!
Use the net to compute the surface area of the three-dimensional figure.
A) 56 units2
B) 62 units2
C) 68 units2
D) 74 units2
62 units is the answers
Step-by-step explanation:
The correct answer is C) 68 units². The net to compute the surface area of the three-dimensional figure is C) 68 units².
To compute the surface area of a three-dimensional figure, one must consider all the faces that make up the shape. The net of a three-dimensional figure provides a two-dimensional representation of all these faces. By calculating the area of each face and summing them up, we can find the total surface area.
Let's assume the net provided shows a figure composed of rectangles and triangles. We will calculate the area of each face as follows:
1. For rectangles, the area is given by the formula A = length × width.
2. For triangles, the area is given by the formula A = 1/2 × base × height.
Let's denote the lengths of the sides of the rectangles as l and w, and the base and height of the triangles as b and h, respectively.
Now, let's calculate the area of each face:
- Rectangle 1: A1 = l × w
- Rectangle 2: A2 = l × w (assuming it has the same dimensions as Rectangle 1)
- Triangle 1: A3 = 1/2 × b × h
- Triangle 2: A4 = 1/2 × b × h (assuming it has the same dimensions as Triangle 1)
The total surface area (SA) is the sum of the areas of all faces:
SA = A1 + A2 + A3 + A4
SA = (l × w) + (l × w) + (1/2 × b × h) + (1/2× b × h)
SA = 2lw + bh
SA= 2*5*3+19*2
SA=68
After performing these calculations with the given measurements from the net, we would find that the total surface area is 68 units².
Therefore, the correct answer is C) 68 units²."
After falling 23°F the temperature is now 51°F what was the starting temperature
Answer:74 degrees
Step-by-step explanation:
You would have to add the starting point to the current temperature.(51+23=74)
Wich is equivalent to √10 3/4x
Answer:
8 (square root) 10^3x
Step-by-step explanation:
mark me as brainliest pls
§ALEX§
Please find the value of x
Answer:
x = 27°
Step-by-step explanation:
You know that both sections together add up to 180°, so you want to set up an equation:
2x + 99 + x = 180
3x + 99 = 180
3x = 81
x = 27°
If log2 5 = k, determine an expression for log32 5 in terms of k.
Answer:
[tex]log_3_2(5)=\frac{1}{5} k[/tex]
Step-by-step explanation:
Let's start by using change of base property:
[tex]log_b(x)=\frac{log_a(x)}{log_a(b)}[/tex]
So, for [tex]log_2(5)[/tex]
[tex]log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)[/tex]
Now, using change of base for [tex]log_3_2(5)[/tex]
[tex]log_3_2(5)=\frac{log(5)}{log(32)}[/tex]
You can express [tex]32[/tex] as:
[tex]2^5[/tex]
Using reduction of power property:
[tex]log_z(x^y)=ylog_z(x)[/tex]
[tex]log(32)=log(2^5)=5log(2)[/tex]
Therefore:
[tex]log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)[/tex]
As you can see the only difference between (1) and (2) is the coefficient [tex]\frac{1}{5}[/tex] :
So:
[tex]\frac{log(5)}{log(2)} =k\\[/tex]
[tex]log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k[/tex]
Sean is making accessories for the soccer team she uses 671.16 in at work on headbands for 39 players and three coaches she also uses 336.57 in the fabric on wristbands just for the players how much fabric is used on the headband and wristband for each player
Answer:
Headband: 15.98 in.
Wristband: 8.63 in.
Step-by-step explanation:
In this problem, we call:
h = the amount of fabric used for each headband
w = the amount of fabric used for each wristband
We are told that:
Sean uses 671.16 in at on headbands for 39 players and three coaches, so the total number of headbands made is 42
Therefore, we can write
[tex]671.16 = 42 h[/tex]
And solving for h, we find
[tex]h=\frac{671.16}{42}=15.98 in.[/tex]
Then we also know that Sean uses 336.57 in the fabric on wristbands just for the players, so he produced 39 wristbands; so we can write:
[tex]336.57 = 39w[/tex]
And solving for w,
[tex]w=\frac{336.57}{39}=8.63 in.[/tex]
Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that apply.
To begin converting the equation to standard form, subtract 36 from both sides.
To complete the square for the x terms, add 4 to both sides.
The center of the circle is at (-2, 3).
The center of the circle is at (4.-6).
The radius of the circle is 6 units.
The radius of the circle is 49 units.
The answer is B and C
Answer: b & c
I got the answer right on my quiz
The following statements are true:
- To begin converting the equation to standard form, subtract 36 from both sides.
- To complete the square for the x terms, add 4 to both sides.
- The center of the circle is at (-2, 3).
- The radius of the circle is 7 units.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
To convert the equation to standard form, we need to complete the square for both the x and y terms.
x² + y² + 4x - 6y - 36 = 0
x² + 4x + y² - 6y = 36
(x² + 4x + 4) + (y² - 6y + 9) = 49
(x + 2)² + (y - 3)² = 7²
So the center of the circle is at (-2, 3) and the radius of the circle is 7 units.
Therefore, the following statements are true:
- To begin converting the equation to standard form, subtract 36 from both sides.
- To complete the square for the x terms, add 4 to both sides.
- The center of the circle is at (-2, 3).
- The radius of the circle is 7 units.
And,
The statement "The center of the circle is at (4.-6)" is false, and the statement "The radius of the circle is 49 units" is also false.
Thus,
The following statements are true:
- To begin converting the equation to standard form, subtract 36 from both sides.
- To complete the square for the x terms, add 4 to both sides.
- The center of the circle is at (-2, 3).
- The radius of the circle is 7 units.
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Find the volume of a right circular cone that has a height of 19.9 cm and a base with a radius of 9.6 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
1920.5
Step-by-step explanation:
Final answer:
To find the volume of a cone with specific dimensions, use the formula V = 1/3 π r² h. Substitute the given values for radius and height, then calculate the volume rounded to the nearest tenth.
Explanation:
The volume of a right circular cone can be found using the formula V = 1/3 × π × r² × h, where r is the radius and h is the height of the cone.
Plugging in the values (r = 9.6 cm, h = 19.9 cm) gives V = 1/3 × 3.142 × 9.62 × 19.9 = 200.5 cm³
Lindsey surveyed a random sample of students in 7th grade at her school to determine how students get to school each day. The results of the survey are shown below. 8 students walk or ride a bike 15 students ride in a car 25 students take the bus Based on the results of the survey, how many of the 720 students in 7th grade do NOT ride in a car to school?
495 students in 7th grade do not ride a car to school
Step-by-step explanation:
Step 1: Find the percentage of number of students in 7th grade who ride in a car to school in the sample.Number of students walking or riding a bike = 8
Number of students who ride a car = 15
Number of students who take the bus = 25
Total students in the sample = 48
⇒ Percentage of students who rides a car in the sample = 15/48 × 100 = 31.25%
Step 2: Find the equivalent number of students who ride a car in the total number of students.Total number of students = 720
Number of students who ride a car = 31.25/100 × 720
= 225
Step 3: Find the number of students who do not ride a car to school.Number of students who do not ride a car to school = 720 - 225 = 495
Answer:
b
Step-by-step explanation:
least to greatest: 7.0 , 0.07 , and 0.7
Answer:
0.07,
0.7,
7.0
That is the answer
Answer:0.07,0.7,7.0
Step-by-step explanation:
A solution has which of the following properties?
a) The average diameter of its solute particles usually is less than 1 nm.
b) Gravity separates its parts.
c) A filter can remove the solute.
d) The top layer is different in composition than the bottom layer.
Answer:
A
Step-by-step explanation:
The rest are incorrect
A solution is a homogeneous mixture composed of a solute dissolved in a solvent. It can be separated by passing it through a filter.
Explanation:A solution is a homogeneous mixture composed of a solute dissolved in a solvent. From the given options, property (c) is most characteristic of a solution. A solution can be separated by passing it through a filter, which removes the solute particles, resulting in a purified solvent. Gravity does not separate the parts of a solution, and the average diameter of solute particles can vary depending on the nature of the solute. Additionally, the composition of a solution is uniform throughout, so there is no distinction between the top and bottom layers.
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How do you solve problems like this. Rhonda earned $324.65 delivering newspapers. She promised her sister 0.2 of her earnings for helping her. How much does Rhonda owe her sister?
Answer:
64.93
Step-by-step explanation:
324.65(0.2) = 64.93
You simply want to find 20% of 324.65. To do this, you just need to multiply.
What is 20% of 45?
A.
7
B.
12
C.
9
D.
13
Answer:
C. 9
Step-by-step explanation:
Mulitply .20 by 45
Answer:
C. 9
Step-by-step explanation:
20%- 0.2
multiply 0.2 and 45
Your answer is 9
Can you guys answer this question ASAP, thanks will give brainliest
Answer:
An apple costs $2.25. A mango costs $1.25.
Step-by-step explanation:
Let a = price of 1 apple.
Let m = price of 1 mango.
Cameron:
4 apples + 7 mangoes ----> total $17.75
4a + 7m = 17.75
Gavin:
2 apples + 5 mangoes ----> total $10.75
2a + 5m = 10.75
We have a system of 2 equations in 2 unknowns.
4a + 7m = 17.75
2a + 5m = 10.75
We can use the elimination method to eliminate the variable a. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.
4a + 7m = 17.75
(+) -4a - 10m = -21.5
---------------------------------
-3m = -3.75
Divide both sides by -3.
m = 1.25
A mango costs $1.25.
Now we use the first equation and substitute 1.25 for m and solve for a.
4a + 7m = 17.75
4a + 7(1.25) = 17.75
4a + 8.75 = 17.75
4a = 9
a = 2.25
An apple costs $2.25.
Answer: An apple costs $2.25. A mango costs $1.25.
Answer:
2.25 ; 1.25
Step-by-step explanation:
4A + 7M = 17.75
2A + 5M = 10.75
2A = 10.75 - 5M
4A = 21.5 - 10M
21.5 - 10M + 7M = 17.75
3.75 = 3M
M = 1.25
4A = 21.5 - 10(1.25)
4A = 9
A = 2.25
someone help me please
There are 30 blue cubes in the box.
What is the total number of cubes in the box
Answer:
The answers is in the problem 30 cubes
The total number of cubes are there in the box will be 75. And the table is completed below.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Then the value of x is given as,
x + x + 0.4 = 1
2x = 0.6
x = 0.3
The table is given below.
Color Blue Red Yellow
Probability 0.4 0.3 0.3
If the number of blue cubes is 30. Then the total number of cubes is given as,
Total cubes = 30 / 0.4 = 75
The total number of cubes are there in the box will be 75.
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A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of =1000 registered voters and found that 520 would vote for the Republican candidate. Let represent the proportion of registered voters in the state who would vote for the Republican candidate.
Answer:
52% will vote for republican candidate
Step-by-step explanation:
If there are 1000 registered voters and 520 of them will vote for Republican candidate
Then the proportion of this voters that will vote for republican candidate can be give as
(520/1000)*100% = 52%
Deshaun took 2 5/8 hours to clean the bathroom. Then took 1/4 hours to clean the den . How much total time did deshaun take to clean the two rooms ?
Answer:
2.875 hours 2 5/8 plus 1/4 equals 2.875
The number of inches of rain,y,after x minutes of rainfall during a storm can be modeled by the equation y=0.003x How many inches of rain will have fallen after 2 minutes
Answer:
Therefore 0.006 inches of rain will have fallen after 2 minutes.
Step-by-step explanation:
Given that,
y = 0.003x
where y is the number of inches of rain after x minutes.
To find the number of inches of rain after 2 minutes, we plug x = 2 minutes in above model equation.
∴ y= 0.003×2
=0.006
Therefore 0.006 inches of rain will have fallen after 2 minutes.
After 2 minutes, 0.006 inches of rain will have fallen based on the equation y = 0.003x. This calculation involves substituting x with 2 and multiplying by 0.003.
To determine how many inches of rain will fall after 2 minutes using the given equation y=0.003x, we substitute x with 2.
Start with the equation: y = 0.003xSubstitute x with 2: y = 0.003 × 2Calculate the value: y = 0.006So, the number of inches of rain that will have fallen after 2 minutes is 0.006 inches.
If f(x) and it's inverse function, f-1(x), are both plotted on the same coordinate plane, what is there correct point of intersection? (0,-2) (1,-1) (2,0) (3,3)
Answer:
The plot coordinates are (3,3).
Step-by-step explanation:
Given:
A fucntion f(x) and its inverse is f-1(x)
To find :
The plot of the coordinates for the intersection.
Solution:
Now we know that inverse fucntion is changing the y=f(x) and then
changing to x to y and y to x
So given function is f(x)
Inverse function is y,
But value of inverse function is f-1(x)
So y=f(x)=f-1(x)
Therefore it becomes
y=x
Hence the value is y=x coordinates
i.e. (3,3)
Andrew has a container with 80 game pieces that are different colors.He knows that the probability of choosing a green piece at random from the container is 0.2 and the probability of choosing a yellow piece at random from the container is 0.45. What is the total number of yellow game pieces in the container?
Answer:
36 Yellow pieces
Step-by-step explanation:
-Given the total number of pieces is 80 and the probability of choosing a yellow piece at random is 0.45.
-To find the number of yellows pieces in the container, we multiply its probability by the total number of pieces;
[tex]n_y=P(yellow)\times n\\\\=0.45\times 80\\\\=36[/tex]
Hence, the total number of yellow pieces is 36
Final answer:
To find the total number of yellow game pieces in the container, we can use the given probabilities to calculate the number of yellow pieces. By setting up equations based on the information provided, we determine that there are 8 yellow game pieces in the container.
Explanation:
Let's first calculate the total number of game pieces in the container.
Let x be the total number of yellow game pieces. The total number of game pieces is 80.
Given that the probability of choosing a green piece is 0.2 and the probability of choosing a yellow piece is 0.45:
Let the number of green pieces be (80 - x), so 0.2(80 - x) = 4 - 0.2x
Now, we know the number of yellow pieces is x, so 0.45x = 0.45x
Solving the equations, we get x = 8, thus there are 8 yellow game pieces in the container.
A school picnic your teacher asks you to Market food trip every 10 yards Sullivan students can play football with the teacher accidentally gave you a meter stick instead of yardstick how far apart a meter should you mark the line if you want the one that has to be in the right places
1 yard = 0.9144 meters
1 yard * 10 = 0.9144 meters * 10
10 yards = 9.144 meters
9.144 meters
To show that 4 points are vertices of a square which of the following must be shown
Use the change of base formula to evaluate the logarithms to the nearest thousandth.
log36 =
log520 =
log2(1/5) =
Answer:
1.631
1.861
-2.322
Step-by-step explanation:
The value of logarithm log₅20 is 1.861.
What are logarithms?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
The given logarithms are log₃6, log₅20 and log₂(1/5).
We have change of base formula: logₐx= logₙx/logₙa
Here, log₃6 = log₁₀6/log₁₀3
= 0.7781/0.4771
= 1.6308
≈ 1.631
log₅20 = log₁₀20/log₁₀5
= 1.3010/0.6989
= 1.8614
≈ 1.861
log₂(1/5) = log₁₀(1/5)/log₁₀2
= -0.6989/0.3010
= -2.3219
≈ -2.322
Therefore, the value of logarithm log₅20 is 1.861.
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