The perimeter of the polygon is 20.23 units
What is the perimeter of a polygon?The perimeter of a polygon is the sum of the length of its sides.
Given A(0,−2),B(−5,3),C(3,−3) to find the perimeter of the polygon, we proceed as follows.
To find the length of each side of the polygon, we use the distance formula.
So, d = √[(x - x')² + (y - y')²] where
x = x -coordinate of first point, x' = x -coordinate of second point, y = y -coordinate of first point, y' = y -coordinate of second pointUsing the points A(0,−2), B(−5,3), we have that
d₁ = √[(x - x')² + (y - y')²]
d₁ = √[(0 - (-5))² + (-2 - 3)²]
d₁ = √[5² + (-5)²]
d₁ = √[5² + 5²]
d₁ = √[2(5²)
d₁ = 5√2
Using the points A(0,−2), C(3,-3), we have that
d₂ = √[(x - x')² + (y - y')²]
d₂ = √[(0 - (-3))² + (-2 - (-3))²]
d₂ = √[(0 + 3)² + (-2 + 3)²]
d₂ = √[3² + 1²]
d₂ = √[9 + 1]
d₂ = √10
Using the points B(-5,3), C(3,-3), we have that
d₃ = √[(x - x')² + (y - y')²]
d₃ = √[(-5 - 3)² + (3 - (-3))²]
d₃ = √[(-5 - 3)² + (3 + 3))²]
d₃ = √[(-8)² + (6)²]
d₃ = √[64 + 36]
d₃ = √[100]
d₃ = 10
So, the perimeter of the polygon is D = d₁ + d₂ + d₃
= 5√2 + √10 + 10
= 7.071 + 3.162 + 10
= 20.23 units
So, the perimeter is 20.23 units
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6 inches = _____ centimeters
Answer:
15.2 cm
Step-by-step explanation:
Inch to centimeter conversion is multiplying the number of inches by 2.54
6 * 2.54 = 15.24
the 2 is in the tenths place
4 is less than and not equal to 5, therefore the 2 stays the same
6 inches = 15.2 centimeters
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how many positive perfect squares less than 10^610 6 are multiples of 2424? how many positive perfect squares less than 10^610 6 are multiples of 2424?
Total 83 numbers that are positive perfect squares less than \(10^6\) are multiples of 24.
What is perfect Square?
A perfect square is a number that can be written as the second exponent of an integer or as the product of an integer by itself.
For instance, the number 25 is a perfect square since it is the product of the integer 5 multiplied by itself, 5*5 = 25.
21 cannot be expressed as the product of two identical integers, so it is not a perfect square number.
Prime Factorization of 24 is 2^3*3.
There must be at least 3 factors of number 2 and 1 factor of number 3 in each square.
its square root must have 2 factors of number 2 and 1 factor of number 3.
This means each square should be in the from \((12*c)^2\). where 12 is a positive numbers less than \(\sqrt{10^6}\) = 1000.
So total numbers of positive perfect squares.
= 1000/12 = 83.
Total 83 numbers that are positive perfect squares less than \(10^6\) are multiples of 24.
Given question is incomplete Complete Question here
How many perfect squares less than 10^6 are multiples of 24.
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In which quadrants could the terminal arm of θ lie?
Answer:
Quadrant 2 and 3
Approximately, 113 and 247 degrees.
Step-by-step explanation:
I just used Desmos and graphed the equation. The values of theta are 113 and 247.
vrite on s margin. 2. A man left town M at 10:00 a.m. and travelled by car to town N at an average speed of 72 km/h. He spent 2 hours for a meeting and returned to town M by bus at an average speed of 40 km/h. If the distance covered by the bus was 2 km longer than that of the car and he arrived at town M at 1:55 p.m., calculate the distance from M to N.
The distance from M to N is 48 km.
Since a man left town M at 10:00 a.m. and traveled by car to town N at an average speed of 72 km / h, and he spent 2 hours for a meeting and returned to town M by bus at an average speed of 40 km / h, to determine, if the distance covered by the bus was 2 km longer than that of the car and he arrived at town M at 1:55 pm, the distance from M to N, the following calculation must be performed:
1:55 PM = 13:55 13:55 - 10:00 = 3:55 3:55 - 2:00 = 1:55 60 = 100 55 = X 55 x 100/60 = X 91.6 = X Total time traveled by car and bus = 1,916 hours
30/72 + 32/40 = 1,216 40/72 + 42/40 = 1,605 50/72 + 52/40 = 1,994 45/72 + 47/40 = 1.8 48/72 + 50/40 = 1,916
Therefore, the distance from M to N is 48 km.
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please help im slow when it comes to math
Find the product. -2x(x2 - 3) -2 x3 - 6 x -2 x2 6 x 6 x3 -2 x3 6 x.
Product of two polynomials can be done by distribution of multiplication over addition. The product of \(-2x(x^2 - 3)\) is \(-2x^3 + 6x\)
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
\(a(b + c) = a\times b + a\times c\)
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The product result of the given expression is
\(-2x(x^2 - 3) = -2x^{1 + 2} + 6x = -2x^3 + 6x\)
It is because when bases are same and there is multiplication, then powers add up, so we have: \(a^b \times a^c = a^{b+c}\)
Thus,
The product of \(-2x(x^2 - 3)\) is \(-2x^3 + 6x\)
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What is the slope of the line
Answer: 2/3
Step-by-step explanation: If you do rise/run then you will see the rise (the counting up/down) will be 2 and the run (the counting to the side) will be 3.
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It takes 4 minutes for the wheel to make one complete rotation. Put a star at Bo’s location after riding the wheel for 21 minutes
After 21 minutes the location of BO in the wheel is EO
How to find BO after 21 minutesThe location of BO after 21 minutes is solved using the data:
It takes 4 minutes for the wheel to make one complete rotation
hence in 21 minutes the rotation covered is
= 21 / 4
= 5.25
This is 5 complete rotations and 0.25 (a quarter rotation).
0.25 rotation is
=0.25 * 360
= 90
Each gap in the wheel is
360 / 12 = 30 degrees
hence three steps from B which is EO
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According to financial reports, the average household credit card debt in 2010 was $7768 and in 2012 was $7117. What is the rate of change of the credit card debt per year? If this trend were to continue, how much would you expect the average household credit card debt to be in 2016?
Answer: 1953
Step-by-step explanation: You need to subtract 7768 and 7117 to find the average change in 2 years; you get 651, divide this by 2 to find the amount of change in 1 year and you'll get 325.5, now if we take 325.5 times 6 (the amount of years until 2016) you will find 1953 as the answer.
A fair coin was flipped 50 times. It landed on heads 29 times.
What is the experimental probability that the coin landed on tails?
Answer:
21/50, 42%
Step-by-step explanation:
The total times the coin was flipped is 50 and the number of times it landed on tails is 50-29=21. So we need to divide 21 by 50, which gives us 42%.
Evaluate the expression when a=1/4 and b=6
Answer:
4.75/ 19/4
Step-by-step explanation:
a=1/4; b=6
12a+(b-a-4)=?
12(1/4)+(6-1/4-4)=?
3+1.75 or 7/4=?
=4.75 or 19/4
I'm not very sure but I tried lol
giving brainly if both are done and correct
Example 4:-
→ (-79) + (-10 ÷ 2)
→ -79 - 5
→ -84 is the answer.
Example 5:-
→ (30 - 10 + 4) ÷ (-8 ÷ 2)
→ 24 ÷ -4
→ -6 is the answer.
Solve the equation
sec x=√2 in the interval 0≤x≤2π
\(\displaystyle\\Answer:\ x=\frac{\pi }{4} \ \ \ \ \ x=\frac{7\pi }{4}\)
Step-by-step explanation:
\(\displaystyle\\secx=\sqrt{2} \ \ \ \ 0\leq x\leq 2\pi \\\\\frac{1}{cosx} =\sqrt{2} \\\\cosx=\frac{1}{\sqrt{2} } \\\\cosx=\frac{(1)(\sqrt{2)} }{(\sqrt{2})(\sqrt{2)} } \\\\cosx=\frac{\sqrt{2} }{2} \\\\x=\frac{\pi }{4} \\\\x=\frac{7\pi }{4}\)
10. Are the triangles congruent? If so, how would you justify your
conclusion?
A. ALMK AJKM by AAS
B. ALMK
AJKM by ASA
C. ALMK
AJKM by SAS
D. ALMK AJKM by SSS
E. The triangles are not congruent.
Answer:
ima say B
Step-by-step explanation:
What is the value of x ?
Answer:
x = 9°
Step-by-step explanation:
The full arc of the angles equals 360°. So, we can subtract all of the measures of angles we are given from the total 360 to find the value of x.
We can add the given angles together and subtract the sum from 360 as well.
73 + 63 + 89 = 225
This means the measure outside 15x is a combines 225°.
Now, subtract the known measures from our total, 360.
360 - 225 = 135
The unknown, or 15x, is equal to 135°.
15x = 135
Solve this like a normal equation. Divide both sides by 15 to isolate x and solve for the variable.
\(\frac{15x}{15}\) = \(\frac{135}{15}\)
x = 9
x is equal to 9°.
We can check by adding all our values together again to see if they amount to 360°.
73 + 63 + 89 + 15(9) = 360
360 = 360
The equation is correct, so we can be sure that we are right.
The answer is x = 9°.
Good luck ^^
Factor:x2 - 25
Please help!
Answer:
Factor \(x^{2}\)-25 would be (x+5)(x-5)
Step-by-step explanation:
First step is to isolate the x squared, secondly find a number that multiplies by itself and would equal - 25.
Therefore, (x+5) (x-5) is your answer.
Would you classify 180 as a perfect square,perfect cub,both or neither
If f(x) = x + 4 and g(x)=x²-1, what is (gof)(x)?
(gof)(x)=x²-1
(gof)(x)=x² +8x+16
(gof)(x)=x²+8x+15
(gof)(x)=x²+3
Answer:
(g ○ f)(x) = x² + 8x + 15
Step-by-step explanation:
to find (g ○ f)(x) substitute x = f(x) into g(x)
(g ○ f)(x)
= g(f(x))
= g(x + 4)
= (x + 4)² - 1 ← expand factor using FOIL
= x² + 8x + 16 - 1 ← collect like terms
= x² + 8x + 15
Solve for x
In(3x + 2) = 4
Answer:
2/3 or 0.666
Step-by-step explanation:
3x+2=4
3x=4-2
3x=2
x=2/3
x=0.666
Answer:
\(x=\frac{2}{3}\)
Step-by-step explanation:
\(\left(3x+2\right)=4\)
\(3x+2=4\)
Subtract 2 from both sides:-
\(3x+2-2=4-2\)
\(3x=2\)
Divide both sides by 3:-
\(\frac{3x}{3}=\frac{2}{3}\)
\(x=\frac{2}{3}\)
OAmalOHopeO
£1= $1 .58 write down a formula to convert pounds into dollars
GBP ( pound) X 1.5936 = Amount in Dollar
Hope this helps!!! :))
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what are domain and range of this exponectial functionsy=1/6.8×
Choice B is the answer.
-34 -2p = 8(8 - 2p)
Answer:
p = 7
Step-by-step explanation:
Look at the picture hope this helps!
Which type graph is the best choice for determining the change in the stock market over time?
a. Scatter Diagram
b. Time-series Plot
c. Box Plot
d. Pie Chart
Time-series Plot graph is the best choice for determining the change in the stock market over time.
The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.
Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.
A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.
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I NEED HELP PLS I WILL MARK BRAINLEIST!!:0
Can U PLEASE HELP ME
Answer:
the answer is the first one
Step-by-step explanation:
When you earn the same amount of money no matter how many hours you work – Question 1 options: Wage Salary Income
Answer:
Salary
Step-by-step explanation:
a wage is based off hours you work and income is how much you make either way.
The isosceles triangle is a scale drawing of a flag.
The perimeter of the actual flag is 22 in. Draw
another scale drawing of the flag with a perimeter
of 11 in. What is the scale of your drawing? Explain.
Answer:
Scale factor = \(\frac{1}{2}\)
Step-by-step explanation:
Perimeter of the actual flag = 22 in.
Perimeter of the scale drawing of the flag = 11 in.
Since, perimeter of a triangle = Sum of all three sides of the given triangle
Therefore, scale factor of the drawing
= \(\frac{\text{Measure of the side of drawing}}{\text{Measure of the side of actual}}\) = \(\frac{\text{Perimeter of drawing}}{\text{Perimeter of actual}}\)
= \(\frac{11}{22}\)
= \(\frac{1}{2}\)
Therefore, scale factor of the drawing will be \(\frac{1}{2}\).
Each side of the scaled triangle will be half of the actual triangle.
At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.
What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?
The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37
What is ratio?Ratio is a term that is used to compare two or more numbers.
Therefore,
At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,
The Junior population at 2:00 pm is as follows;
12 pm to 2pm is 120 minutesThen, 120 / 15 = 8
20 × 8 = 160 students
The junior student increased by 120 by 2pm.
The Senior population at 2:00 pm is as follows;
45 × 8 = 360 students
360 senior student left by 2 pm.
Therefore,
Junior student by 2pm = 700 + 160 = 860 students
Senior student by 2 pm = 110 - 360 = 740 students
The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37
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What is the decimal equivalent of each
rational number?
a.7/20
b.-23/20
c.1/18
d.-60/22
Answer:
1. )0.35
2. )1.15
3.)0.5 (5 repeating's)
4.)2.72
Step-by-step explanation:
7 divide 20=0.35
-23 divide 20=1.15
-60 divide 22 = 2.727272 but it is 2.72
Simplify the expression -3 (5p-4) + 8
Answer:
-15p+20
Step-by-step explanation: