Answer:
ratios
Step-by-step explanation:
Write a formula for the area of a pentagon in terms of perimeter P\text{.}
The denominator, 4√(5 - 2√5), is a constant value specific to regular pentagons and is derived from the geometric properties of the shape.
The formula for the area of a pentagon in terms of its perimeter P can be expressed as:
\[ A = \frac{P^2}{4\sqrt{5 - 2\sqrt{5}}} \]
In this formula, A represents the area of the pentagon, and P represents its perimeter.
It's important to note that this formula assumes that the pentagon is a regular pentagon, meaning all sides and angles are equal. For irregular pentagons with different side lengths or angles, the area formula would be more complex and specific to the given dimensions.
The formula derives from the relationship between the perimeter and the area of a regular pentagon. By using trigonometry and geometry, it is possible to calculate the area based on the perimeter alone.
The denominator, 4√(5 - 2√5), is a constant value specific to regular pentagons and is derived from the geometric properties of the shape.
By substituting the given perimeter value into this formula, you can calculate the corresponding area of a regular pentagon.
Learn more about denominator here
https://brainly.com/question/20712359
#SPJ11
a microorganism measures 5 μm in length. its length in mm would be?
The length of the microorganism in millimeters is 0.005 mm.
The theory behind converting length units from one unit to another is based on the conversion factor principle. In the International System of Units (SI), the conversion factor between two units of length can be obtained by comparing the number of meters represented by each unit. For example, 1 millimeter is equal to 0.001 meters, and 1 micrometer is equal to 0.000001 meters.
To convert from one unit of length to another, we multiply the length by the appropriate conversion factor. In this case, to convert from micrometers to millimeters, we multiply the length in micrometers by 0.001 to obtain the length in millimeters.
To convert the length of the microorganism from micrometers (μm) to millimeters (mm), we divide by 1000.
5 μm / 1000 = 0.005 mm
Therefore, the length of the microorganism in millimeters is 0.005 mm.
To learn more about conversions click on,
https://brainly.com/question/30510574
#SPJ4
The value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is.
Answer:
C. 135
Step-by-step explanation:
The value of the expression when x = 5 is 135.To find the value of the expression when x = 5, substitute the value of x into the expression and perform the calculations:
Expression: \((2x^2 / x) + x(100 - 15x)\)
Now, replace x with 5:
\((2 * 5^2 / 5) + 5(100 - 15 * 5)\)
Calculate the values within the parentheses first:
\((2 * 25 / 5) + 5(100 - 75)\)
Now, perform the arithmetic inside each set of parentheses:
\((50 / 5) + 5(25)\\50 / 5 = 10\)
Now, continue:
10 + 5 * 25 = 10 + 125 = 135
So, the value of the expression when x = 5 is 135.
To know more about expression :
https://brainly.com/question/34132400
#SPJ2
The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 250 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watches television. Identify the type of data collected by PAWT.
The type of data collected by Parents Against Watching Television (PAWT) is quantitative data.
The type of data collected by PAWT is quantitative data, specifically interval data. This is because the data gathered, which is the number of hours per week that elementary school-aged children watch television, represents a measurable quantity.
Data collected is numerical and the intervals between the numbers are equal (i.e. one hour of television is the same amount of time for every respondent). Quantitative data can be analyzed using numerical methods and is often used to make comparisons or draw conclusions. Additionally, mathematical operations such as calculating the mean or standard deviation can be applied to this type of data.
In this case, PAWT collected this data to better understand and address the concerns of parents regarding their children's television viewing habits.
Learn more about Quantitative data:
https://brainly.com/question/30398777
#SPJ11
(0.2)⋅60 Express in decimal form
The number (0.2) . 60 in decimal form using scientific notation is 12 = 1.2 x \(10^1\).
Given number: (0.2) . 60
Now, first multiply the decimal and the number as
0.2 x 60
= 2 / 10 x 60
= 2 x 6
= 12
Now, write 12 in decimal use scientific notation which written in the form of coefficient and raised to power of 10.
So, 12 = 1.2 x \(10^1\)
Learn more about decimal here:
brainly.com/question/33864774
#SPJ6
The landscaping at a park features 15 azalea bushes at the entrance to the park as well as a garden of azalea bushes inside the park. In the garden, the azalea bushes are planted in rows containing the same number of bushes, as shown below.
CHECK THE PICTURE BELOW THEN ANSWER PLEASE!
A.
B.
C.
D.
Answer:
To find out how many bushes are in each row, we need to use the information given in the problem. We know that there are a total of 15 bushes at the entrance to the park, and the garden contains the same number of bushes in each row. Therefore, we can subtract the 15 bushes at the entrance from the total number of bushes in the garden to find out how many bushes are in the rows:
Total number of bushes in the garden = Number of rows × Number of bushes in each row
Total number of bushes in the garden = 4 × Number of bushes in each row
So, we can write:
4 × Number of bushes in each row - 15 = Number of bushes in the garden
We are not given the total number of bushes in the garden, but we can use algebra to solve for the number of bushes in each row:
4 × Number of bushes in each row - 15 = Number of bushes in the garden
4 × Number of bushes in each row - 15 = 35 (since there are 15 bushes at the entrance to the park, the total number of bushes in the garden is 35)
4 × Number of bushes in each row = 50
Number of bushes in each row = 50 ÷ 4
Number of bushes in each row = 12.5
Since the number of bushes in each row must be a whole number, we can round up to get:
Number of bushes in each row = 13
Therefore, each row in the garden has 13 azalea bushes.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D is the only equation that once solved out, equals 119 total bushes that the equation calls for.
8(13)+15= 119
The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?
The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?
Answer · 1 vote
Perimeter of the square80-64yA square has 4 sides, so divide the perimeter by 4:(80-64y) / 480 divided by 4 is 2064y divided by 4 is 16yOne side of the ..
Answer:
Its C
Step-by-step explanation:
took the test
Danielle sold a certain number of tickets to the school play, d. Sara sold 4 more tickets to the school play than the number Danielle sold. Brett sold 3 times as many as Danielle sold. The number of tickets that the 3 students sold altogether can be represented by the expression below. d+d+4+3d
Answer:
5d+4
Step-by-step explanation:
Number of ticket sold by Daniel = d .... 1
If Sara sold 4 more tickets to the school play than the number Danielle sold, the total number sold by Sarah is expressed as d+4 .... 2
If Brett sold 3 times as many as Danielle sold, the amount sold by Brett is 3×d = 3d ..... 3
The number of tickets that the 3 students sold altogether can be gotten by adding equation 1, 2 and 3 together as shown;
d+(d+4)+3d
Collect like terms
= d+d+3d+4
= 2d+3d+4
= 5d+4
Hence the number of tickets that the 3 students sold altogether is represented as 5d+4
Answer:
5d+4
Step-by-step explanation:
Have a good day
The metal bar shown is an alloy of silver and other metals.
7.5 ounces
If the silver accounts for 84% of the bar's weight, what is the weight of the silver?
Enter the correct answer in the box.
Answer:
The weight of the silver in the bar is approximately 6.3 ounces.
Step-by-step explanation:
To find the weight of the silver in the bar, you can multiply the total weight of the bar by the proportion of the bar that is silver. Since the proportion of silver in the bar is 84%, you can express this as a decimal by dividing 84 by 100: 84/100 = 0.84.
Then, you can multiply the total weight of the bar by this decimal to find the weight of the silver:
Weight of silver = total weight of bar * proportion of silver
= 7.5 ounces * 0.84
= 6.3 ounces
Solving Stackelberg Prediction Game with Least Squares Loss via Spherically Constrained Least Squares Reformulation
The paper proposes solving the Stackelberg Prediction Game with Least Squares Loss using a Spherically Constrained Least Squares Reformulation.
The Stackelberg Prediction Game is a game-theoretic framework where a leader player (Stackelberg leader) makes a decision first, and then the follower player (Stackelberg follower) responds to the leader's decision. In this game, the leader aims to optimize their decision while taking into account the follower's response.
The paper suggests using a Least Squares Loss function to model the prediction game. Least Squares Loss is a common approach in regression analysis that minimizes the sum of squared differences between observed and predicted values. By applying Least Squares Loss to the Stackelberg Prediction Game, the goal is to find the optimal decision for the leader that minimizes the prediction error.
To solve the game using a Spherically Constrained Least Squares Reformulation, the authors introduce a spherical constraint on the leader's decision. This constraint restricts the leader's decision to lie on the surface of a hypersphere. By incorporating this constraint into the Least Squares Loss formulation, the authors aim to find a solution that satisfies both the game dynamics and the spherical constraint.
The proposed reformulation offers a novel approach to solving the Stackelberg Prediction Game, combining the principles of least squares estimation and spherical constraints. The paper likely provides detailed mathematical derivations and algorithms to implement the proposed method effectively.
Learn more about game theory
brainly.com/question/7582314
#SPJ11
Which of the following is NOT true for 6s + 25 + 5? *
A. Represents an algebraic expression
B. There is only one value for s
C. A phrase that simplifies to two terms
D. There is a solution for s = 5
Answer:
B. There is only one value for s
Step-by-step explanation:
I hope this works for u.. :3
Can I have a brainliest plz :))
I need help ASAP plzzzzzzzzzzzzz
Answer:
3/4
Step-by-step explanation:
Let's say that r is the radius of the large circle or the diameter of the small circle.
Area of the big circle is \(\pi r^{2}\) .
Area of the small circle is \(\pi \frac{r}{2} ^{2} = \pi \frac{r^{2}}{4}\).
The ratio of these 2 circles is 1/4 (calculation in the comments).
So the shaded part represent 1 - 1/4 = 3/4.
Graph the line. y=-3/2x + 1
Answer:
Step-by-step explanation:
write 34 as a product of its prime factors. PLEASE HELP I NEED TO TURN IT IN IN % MINUTES
Answer: Down below
Step-by-step explanation: First of all, as 34 is an even number, so it must be divisible by smallest prime 2.
Thus, 2 must be a factor of 34.
Now, look for number obtained on dividing 34 by 2 i.e.
34÷2=17.
So, 17 is our new number.
Now, look for factors/divisors of 17, which are precisely 1 and 17 i.e. 17 is itself a prime.
This implies only factors possible for 34 are 2 and 17.
Thus ,34 can be written as product of prime numbers 2 and 17 as 34=2×17.
Key idea. Given any number, divide it by smallest divisible prime and look for the number obtained on division.
Now, repeat the process for the number obtained.
If no division by a smaller prime than that number is possible, then our number is itself a prime.
Answer:
2(17)
Step-by-step explanation:
The line plot represents the wait time in line for a ride at a local fair.
A line plot titled Wait Time at the Fair. The horizontal line labeled Time in Minutes begins at 4, with every one unit labeled up to 10. There are 2 dots above 8. There are 3 dots above 5. There are 5 dots above 7. There are 6 dots above 6.
Which of the following best describes the shape of the data, and why?
The data is skewed and might mean that the wait times were lower than 5 minutes because the park was not busy.
The data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
The data is symmetric and might mean that most rides had a wait of 6 to 7 minutes, which are the expected times for those rides.
The data is bimodal with peaks and might mean that the wait times were usually 5 or 7 minutes to ride, which is lower than the expected wait time for those rides.
The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.
The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
Here's the explanation:
From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.
The distribution is not symmetric, as the data points are not evenly spread around a central value.
The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.
Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.
However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.
The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.
It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.
For similar question on data.
https://brainly.com/question/31089407
#SPJ8
Solve -1-w-
W=
DONE
-
35
3 1
5
=
W.
The solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7, meaning that w equals negative six-sevenths when the equation is true.
To solve the equation -1/2w - 3/5 = 1/5w, we'll start by simplifying and rearranging the terms to isolate the variable w.
First, we'll combine like terms on the left side of the equation:
-1/2w - 3/5 = 1/5w
To make the equation easier to work with, let's get rid of the fractions by multiplying every term in the equation by the common denominator, which is 10:
10 * (-1/2w) - 10 * (3/5) = 10 * (1/5w)
This simplifies to:
-5w - 6 = 2w
Next, we'll group the w terms on one side of the equation and the constant terms on the other side:
-5w - 2w = 6
Combining like terms, we have:
-7w = 6
Now, we'll isolate the variable w by dividing both sides of the equation by -7:
(-7w)/(-7) = 6/(-7)
This simplifies to:
w = -6/7
Therefore, the solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7.
In conclusion, w is equal to -6/7 when the equation -1/2w - 3/5 = 1/5w is satisfied.
For more question on equation visit:
https://brainly.com/question/17145398
#SPJ8
How many square yards of rubber will be needed for this park?
•thanks for your help•
:>
The square yard of rubbers needed for the park is 187.5 yards².
How to find area of a trapezoid ?The new park is built in the shape of a trapezium. Let's find the square yard of rubbers to cover the ground.
Therefore,
area of a trapezium = 1 / 2 (a + b)h
where
a and b are the base of trapeziumh = height of the trapeziumTherefore,
a = 10 yards
b = 20 yards
h = 12.5 yards
area of a trapezium = 1 / 2 (10 + 20)12.5
area of a trapezium = 1 / 2 (30)12.5
area of a trapezium = 15 × 12.5
area of a trapezium = 187.5 yards²
learn more on trapezoid here: https://brainly.com/question/23309833
#SPJ1
At a point 153 feet from the base of a building the angle of elevation to the top of the building is 56 degrees. From the same point, the angle of elevation to the top of the flagpole on top of the building is 61 degrees. How tall is the flagpole? (nearest whole number)
Check the picture below.
Make sure your calculator is in Degree mode.
Assume that sales in year 2002 was 168,909 and sales in year 2003 was 380,554. State the percentage increase of sales in DECIMAL FORM to the nearest two decimal places. (Example, if sales increased 70%, write your answer as .70 and do not write the % sign in your answer.
the percentage increase in sales from 2002 to 2003 is approximately 125.34%. In decimal form, this is 1.2534 (rounded to two decimal places).To calculate the percentage increase in sales from 2002 to 2003, we use the following formula:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Given that sales in 2002 were 168,909 and sales in 2003 were 380,554, we can substitute these values into the formula:
Percentage Increase = ((380,554 - 168,909) / 168,909) * 100
Calculating this expression, we get:
Percentage Increase = (211,645 / 168,909) * 100 ≈ 125.34
Therefore, the percentage increase in sales from 2002 to 2003 is approximately 125.34%. In decimal form, this is 1.2534 (rounded to two decimal places).
To learn more about percentage click here:brainly.com/question/32197511
#SPJ11
1/4 : 10 = x : 4 solve for x
Answer:
Step-by-step explanation:
1/4 :10=1/40
1/40=x/4
x=4/40=1/10
HELP : The equation r = 3c + 5 represents the values shown in the table below. c 6 8 12 18 r 23 29 ? 59 What is the missing value in the table? 12 35 41 44
Answer:
answer is 41
Step-by-step explanation:
subscribe to itzz sneaky
:the anser is
41
i just did it
8 Which expression could NOT be used to calculate the
perimeter of the rectangle below?
x + 10 2x
A: 2x(x + 10)
B: 2(2x + x + 10)
C:2(2x) + 2(x+10
D: 2x + 2x + x + 10 + x + 10
Answer:
D: 2x + 2x + x + 10 + x + 10 is the expression that could NOT be used to calculate the perimeter of the rectangle.
To calculate the perimeter of a rectangle, you need to add up the lengths of all four sides, which are usually labeled as length (L) and width (W).
What number should be added to both sides of the equation to complete the square? x2 + 8x = 4
Answer:
2 x 2+ 8 x 0= 4
Step-by-step explanation:
Answer:
c.16
hope this helps some one, have a nice day :)
Step-by-step explanation:
i just took the quiz and got it correct
The value of a motorcycle depreciates at the rate of 5% per year. If its present value is * 45,000, what will be the value after 2 years?
Answer:
40612.50
Step-by-step explanation:
First you work out the percentage decrease:
100 - 5 = 95
95/100 = 0.95 (/ means divide)
Then you work out the amount decrease:
Long Method
45000 x 0.95 = 42750
42750 x 0.95 = 40612.50
or Short Method
45000 x 0.95² = 40612.50
help me please I beg you I have 1 hour
The ratio of the angles, the corresponding angles and sides are fully illustrated below for each given figure.
How to determine the corresponding angles and sides?To determine the corresponding angles and sides of the given figures is to know the particular angle and side of one figure that is similar to the next.
Figure 1.) The corresponding angles and sides of the triangle :For angles:
<B = <E
<A= <D
<C = <F
For sides :
Line BC = EF
BA = DE
AC = FD
Figure 2;The corresponding angles and sides of the triangle :For angle :
<J = <X
<K= <W
<L = <V
<M = <Z
<N = <Y
For sides :
Line JK = Line XW
KL =. WV
LM =. VZ
MN =. ZY
NJ =. YX
For figure 3:Figure A is similar to figure B.
Therefore if side ZY of figure B = 7, KL of Figure A = 7
The ratio of KL to ZY = 7:7 = 1:1.
Learn more about ratio here:
https://brainly.com/question/25927869
#SPJ1
Plugin x=-6 into either equation and solve for y
−2x+2y=−8 or −3x+y=8
Answer:y=-10
Step-by-step explanation:
9. Mark loads a crate that weighs 22.5 pounds
and 12 boxes that each weigh 11.25 pounds
onto a truck. What is the total weight of
the crate and the boxes?
Answer:
157.5
Step-by-step explanation:
22.5+12*11.25=157.5
13 foot ladder is leaning up against a vertical wall. suppose the top of the ladder starts to slide down the wall at a rate of 4 feet per second. how fast is the bottom of the ladder sliding away from the building when the top of the ladder is 5 feet above the ground? clearly define variables, indicate the rate(s) given and the rate you are trying to find
Let's define the variables: - Let x represent the distance from the bottom of the ladder to the wall. - Let y represent the height of the ladder on the wall. - Let t represent time. - Let dx/dt represent the rate at which the bottom of the ladder is sliding away from the building. - Let dy/dt represent the rate at which the top of the ladder is sliding down the wall.
Given:
- dy/dt = -4 feet per second (negative because the top of the ladder is sliding down). - y = 5 feet (the height of the ladder on the wall). We are trying to find dx/dt, the rate at which the bottom of the ladder is sliding away from the building To relate the variables, we can use the Pythagorean theorem: x^2 + y^2 = 13^2. Differentiating both sides of the equation with respect to time (t), we get:
2x(dx/dt) + 2y(dy/dt) = 0 Substituting the given values, we have:
2x(dx/dt) + 2(5)(-4) = 0 Simplifying the equation, we find:
2x(dx/dt) = 40 Dividing both sides by 2x, we get: dx/dt = 20/x To find the value of dx/dt when y = 5 feet, we can substitute y = 5 into the equation:
dx/dt = 20/5 Therefore, the bottom of the ladder is sliding away from the building at a rate of 4 feet per second when the top of the ladder is 5 feet above the ground.
Learn more about the variables here: brainly.com/question/32543450
#SPJ11
When the top of the ladder is 5 feet above the ground, the bottom of the ladder is sliding away from the building at a rate of 4 feet per second.
To solve this problem, let's define the variables:
- Let h represent the height of the ladder above the ground.
- Let x represent the distance between the bottom of the ladder and the wall.
Given:
- The ladder has a height of 13 feet.
- The top of the ladder is sliding down the wall at a rate of 4 feet per second.
We need to find the rate at which the bottom of the ladder is sliding away from the building when the top of the ladder is 5 feet above the ground.
Since we are given the rate at which the top of the ladder is sliding down, we can find dh/dt (the rate at which h is changing with respect to time) by taking the derivative of h with respect to time (t). Therefore, dh/dt = -4 ft/s.
We are asked to find dx/dt (the rate at which x is changing with respect to time) when h = 5 feet.
To solve this, we can use similar triangles. The ratio of the change in x to the change in h is constant and equal to the ratio of the length of the ladder to the distance from the wall to the base of the ladder.
Using the Pythagorean theorem, we have x^2 + h^2 = 13^2.
Differentiating both sides of the equation with respect to time, we get:
2x(dx/dt) + 2h(dh/dt) = 0.
Substituting the given values and solving for dx/dt, we have:
2(5)(dx/dt) + 2(5)(-4) = 0.
10(dx/dt) - 40 = 0.
10(dx/dt) = 40.
dx/dt = 40/10.
dx/dt = 4 ft/s.
Therefore, when the top of the ladder is 5 feet above the ground, the bottom of the ladder is sliding away from the building at a rate of 4 feet per second.
To know more about ladder visit:
https://brainly.com/question/29942309
#SPJ11
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
10. A box contains five and two-thirds cups of rice. If three fourths of the rice will
be used, how many cups of rice remained in the box?
14
D.
Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.
To find the number of cups of rice that remained in the box, we need to calculate three-fourths (3/4) of the total amount of rice in the box.
The total amount of rice in the box is given as five and two-thirds cups. To work with a fraction, we can convert the mixed number to an improper fraction:
5 and 2/3 = (5 * 3 + 2) / 3 = 17/3 cups
Now, we can find three-fourths (3/4) of 17/3:
(3/4) * (17/3) = (3 * 17) / (4 * 3) = 51/12 = 4 and 3/12 = 4 and 1/4 cups
Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.
Learn more about three-fourths here
https://brainly.com/question/16953584
#SPJ11