The provided data is insufficient to accurately calculate the area of the polygon. With an assumption that the shape is a rectangle and the lengths are 15m and 8m, the area would be 120 square meters.
Explanation:To calculate the area of a polygon, it's ideal to break down the polygon into simpler shapes like rectangles or triangles, for which we have well established formula for area. However, the information you've provided is inadequate to define a specific polygon shape like a rectangle or a square. Four sides could suggest a rectangle or a quadrilateral, but we don't know two essential properties: the arrangement of these sides and the measure of angles. For instance, if it was a rectangle, we'd look for pairs of equal lengths. If your shape is indeed a rectangle, and we assume that 15m and 8m are the length and width (or vice versa), we could calculate the area. For a rectangle, the area is calculated as length multiplied by width. In this case, it would be 15m*8m = 120 square meters.
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Four friends measure the length of a 6-millimeter-long grain of rice. They record their measurements as shown. Andrey: 7 mm, 5 mm, 6 mm, 8 mm Mariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mm Yuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mm Misaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mm Whose measurements are the most accurate? Andrey’s Mariya’s Yuto’s Misaki’s
Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm. Hence Option 3 is Correct
To determine whose measurements are the most accurate, we need to compare each friend’s measurements against the correct value of the grain of rice, which is 6 mm. The accuracy of measurements corresponds to how close they are to this true value.
Let's look at each friend's measurements:
Andrey: 7 mm, 5 mm, 6 mm, 8 mmMariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mmYuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mmMisaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mmTo evaluate accuracy, we calculate the deviation of each measurement from 6 mm, then find the mean absolute deviation for each friend:
Andrey: Mean = ( |7-6| + |5-6| + |6-6| + |8-6| ) / 4 = 1.5 mmMariya: Mean = ( |7.41-6| + |8.54-6| + |5.12-6| + |6.23-6| ) / 4 = 1.52 mmYuto: Mean = ( |6.1-6| + |5.9-6| + |6.3-6| + |7.2-6| ) / 4 = 0.625 mmMisaki: Mean = ( |5.843-6| + |6.981-6| + |5.334-6| + |7.632-6| ) / 4 = 0.906 mmHere, Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm.
Yuto's measurements are the most accurate.
Andrey: 7 mm, 5 mm, 6 mm, 8 mm
Mean value: [tex]\frac{7 + 5 + 6 + 8}{4} = 6.5[/tex] mm
Absolute errors: [tex]|7 - 6| = 1[/tex] mm, [tex]|5 - 6| = 1[/tex] mm, [tex]|6 - 6| = 0[/tex] mm, [tex]|8 - 6| = 2[/tex] mm
Average error: [tex]\frac{1 + 1 + 0 + 2}{4} = 1[/tex] mm
Mariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mm
Mean value: [tex]\frac{7.41 + 8.54 + 5.12 + 6.23}{4} \approx 6.825[/tex] mm
Absolute errors: [tex]|7.41 - 6| \approx 1.41[/tex] mm, [tex]|8.54 - 6| \approx 2.54[/tex] mm, [tex]|5.12 - 6| \approx 0.88[/tex] mm, [tex]|6.23 - 6| \approx 0.23[/tex] mm
Average error: [tex]\frac{1.41 + 2.54 + 0.88 + 0.23}{4} \approx 1.265[/tex] mm
Yuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mm
Mean value: [tex]\frac{6.1 + 5.9 + 6.3 + 7.2}{4} \approx 6.375[/tex] mm
Absolute errors: [tex]|6.1 - 6| = 0.1[/tex] mm, [tex]|5.9 - 6| = 0.1[/tex] mm, [tex]|6.3 - 6| = 0.3[/tex] mm, [tex]|7.2 - 6| = 1.2[/tex] mm
Average error: [tex]\frac{0.1 + 0.1 + 0.3 + 1.2}{4} \approx 0.425[/tex] mm
Misaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mm
Mean value: [tex]\frac{5.843 + 6.981 + 5.334 + 7.632}{4} \approx 6.448[/tex] mm
Absolute errors: [tex]|5.843 - 6| \approx 0.157[/tex] mm, [tex]|6.981 - 6| \approx 0.981[/tex] mm, [tex]|5.334 - 6| \approx 0.666[/tex] mm, [tex]|7.632 - 6| \approx 1.632[/tex] mm
Average error: [tex]\frac{0.157 + 0.981 + 0.666 + 1.632}{4} \approx 0.859[/tex] mm
how many pairs of intersecting line segments does a cube have?
which is an equation of the line with x-intercept 2 and y-intercept 12
The equation of the line having The x-intercept of the line is 2, The y-intercept of the line is 12, is y = -6x + 12.
What is a line?Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.
A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction.
Given:
The x-intercept of the line is 2,
The y-intercept of the line is 12,
Write the equation of the line as shown below,
y = m x + 12
Here, m is the slope,
At y = 0 we get the x-intercept, so
0 = m × 2 + 12
m = -12 / 2
m = -6
Thus, the equation of the line is y = -6x + 12.
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Trent hikes up a hill at 4 km/h. He hikes back down at 6 km/h. The hiking trip took 3 hours. How much time did it take Trent to hike up the hill? Write an equation you can use to solve for t, the time it took him to climb up the hill
t = time to hike up the hill
3-t is the time to hike down the hill
so 4t = 6(3-t)
4t = 18-6t
10t = 18
t = 18/10 = 1.8 hours to hike up the hill
1.8 hours = 1 hour 48 minutes
Answer:
The time it took him to climb up the hill is 1.8 hours.
Step-by-step explanation:
Here, t represents the the time it took him to climb up the hill,
Total time taken by it = 3 hours,
Thus, the time taken by it to climb down the hill = ( 3 - t ) hours.
Since, Trent hikes up a hill at 4 km/h,
⇒ Total distance covered by it to climb up = 4 t (Distance = Speed × Time)
Since, Trent go down a hill at 6 km/h,
⇒ Total distance covered by it to go down = 6(3-t)
We know that,
Total distance covered by it to climb up = Total distance covered by it to go down
⇒ 4t = 6(3-t)
Which is the required equation.
⇒ 4t = 18 - 6t
⇒ 10 t = 18
⇒ t = 1.8
Hence, the time it took him to climb up the hill is 1.8 hours.
Solve 8w – 3r = 45 for r
25.2 divided by 4 long divisions
13.1 miles in 58 minutes and 23 seconds; 30 yards in 4.8 seconds. Which is faster
1 mile = 1760 yards
13.1 * 1760 = 23056 yards / 58.38 = 394.93 yards per minute
394.93/60 = 6.58 yards per second
30/4.8 = 6.25 yards per second
13.1miles in 58 minutes 23 seconds is faster
Name each polygon! Determine if it appears to be a regular or not regular
How to label tables with unit rates
2) Oliver is determining the number of cats in his math class. Oliver is collecting what kind of data? A) bivariate B) categorical C) qualitative D) quantitative
gas costs $2.53 per gallon in May. In September, gas cost $3.05 per gallon. What was the percent change in the cost of a gallon of gas?
Answer:
20.6%
Step-by-step explanation:
To calculate the percentage of how much increase, we must first know how much is the difference in the price of May with that of September.
That difference will represent how many $ increase the gallon
[tex]3.05-2.53=0.52[/tex]
We know that a $ 0.52 increase now we must calculate to what percentage of the initial price this value is equivalent to know in what percentage the price of May increased.
[tex]2.53 \longrightarrow 100\%\\0.52 \longrightarrow x\\x=\frac{(0.52)(100)}{2.53} \\x=20.6\%[/tex]
.04 is 1/10 of what number
Answer:
0.4
Step-by-step explanation:
Let x be 1/10 of 0.04.
1/10 of x would be [tex]\frac{1}{10}x[/tex].
We can represent our given information in an equation as:
[tex]\frac{1}{10}x=0.04[/tex]
Let us solve for x.
[tex]10*\frac{1}{10}x=10*0.04[/tex]
[tex]x=0.4[/tex]
Therefore, 0.04 is 1/10 of 0.4.
Translate 4 units down, and then reflect over the y-axis. (5, 15) (4, 12) (2, 18)
El cuadrado de un número disminuido en 9 equivale a 8 veces el exceso
del número sobre 2. Hallar el número.
X : EL NUmerRO DESCONOCIDO
X*2 : X ELEVADO AL CUADRADO
X*2 -9 : EL NUMERO ELEVADOAL CUADRADO Y DISMINUIDO EN 9
Equivale es igual a :
X -2 : EL EXCESO DEL NUMERO SOBRES DOS (se deduce que X es mayor a 2)
8(X-2) : ocho veces el exceso del numero sobre 2
ECUACION
x*2 -9 = 8 (X-2)
X*2 -9=8X-16
X*2 - 8X -9+16=0
X*2 - 8X +7 =0
pOR EL METODO DE ASPA SIMPLE Y COMO ES CUADRATICA X SALE CON DOS VALORES
X= 7 ó X=1
LA RESPUESTA ES X=7 YA QUE DE LA CONDICION SABEMOS QUE X TENE QUE SER mayor que 2
RESPUESTA EL NUMERO ES 7
Which of the following best describes the square root of 12
It will be -12 degrees tonight. The weatherman predicts it will be 25 degrees warmer by noon tomorrow. What will be the temperature be by noon tomorrow?
5 pounds of apples cost $8.20. How much is it for 1 pound?
Find the area of a circular park whose radius is 4.9 meters?
Answer:
75.4296 meters
Step-by-step explanation:
Use the circle area equation: pi(r)^2 to do 4.9^2 multiplied by pi
20 POINTS AND BRAINIEST ANSWER
Mr. Chen goes to the post office to buy small and large boxes. He needs at least 4 small boxes. Altogether, he will buy no more than 15 boxes. The post office has 10 small boxes and 9 large boxes in stock.
The graph shows the feasible region, where x represents the number of small boxes and y represents the number of large boxes.
Which ordered pairs meet all the constraints and make sense in context of the situation?
Select each correct answer.
6,9
7,10
8,6
9,8
The correct answer is
8,6 & 6, 9
Answer:
The correct options are 1 and 3.
Step-by-step explanation:
It is given that x represents the number of small boxes and y represents the number of large boxes.
The post office has 10 small boxes and 9 large boxes in stock.
He needs at least 4 small boxes.
[tex]4\leq x\leq 10[/tex]
He will buy no more than 15 boxes.
[tex]6+9=15\leq 15[/tex]
[tex]8+6=14\leq 15[/tex]
Therefore options 1 and 3 are correct.
[tex]x+y\leq 15[/tex]
[tex]7+10=17>15[/tex]
[tex]9+8>15[/tex]
Therefore options 2 and 4 are incorrect.
the bike course is 80 miles long and I have ridden 44 miles of the course. what percentage have avridden?
math question down below
The two shapes have the same area. Work out the perimeter of the rectangle.
What is the value of 6 cubed?What is the value of 6 cubed?
12
36
72
216
The value of 6 cube or 6×6×6 or 6³ is 216.
What is a perfect square number?A perfect square number when taken the square root of it results in an integer.
Numbers that are not perfect squares when taken the square root of it are irrational numbers.
One method of obtaining square roots for perfect squares is prime factorization.
Now, A perfect cube number is which when taken cube root results to an integer.
A number multiplied by itself by twice results in a cube of that number.
Therefore, The value of 6 cube would be 6 multiplied twice to itself, which is, = 6×6×6 = 36×6 = 216.
It can also be written as exponent form which is, 6³.
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Find the difference 34.44 - 8.6=
I need help with the rest of those problems? the ones that are blank.
Which graph represents the inequality y<−1+2x?
Grace earn seven dollars for each car she washes she also save $25 for a weekly earnings this week she wants to have at least $65 in spending money how many cars would you wash right and solve an Equality to represent the situation interpret the solution contacts
Alicia wants to cover a section of her wall that is 2 feet wide and 12 feet long with mirrors.Each mirror tile is 2 feet wide and 1.5 feet long.How many mirror tiles does she need to cover that section?
Samuel is saving to buy a watch that costs 169 this is $48 more than 4 times what he saved last month how much did he save last month?
owen's bedroom has a perimeter of 46 feet if the length is 11 feet, what is the width of the bedroom anwer
To start off, identify your equation. You know P= 46, and L= 11, so you need to find W=. To do that, first you need to double your length, and width. So, L now equals 22, and W now equals 2W. Now, add W, and L, and it will need to be the original number. Simply subtract 22, from your product, and divide by two, and you'll have W. Here's what the equation should look like.
(2 * 11) + 2W= 46
22 + 2W= 46
46 - 22= 24
2W= 24
W= 12 ft. Or, the width is 12 feet.