Answers
The perimeter of a polygon is found by adding up the lengths of all its sides. The given polygon has a perimeter of 600,000 km. A side labeled 'mfi' would be 300,000 km.
Explanation:To find the perimeter of a polygon, you add up the lengths of all its sides. In this case, the given sides of the polygon are 200,000 km, 100,000 km, and 300,000 km. So adding these together gives you a perimeter of 600,000 km for this polygon.
If you're asked to find the length of a missing side (e.g., the side labeled as 'mfi'), you can subtract the lengths of the known sides from the total perimeter. So, 600,000 km (total perimeter) - 100,000 km - 200,000 km = 300,000 km. Therefore, the length of 'mfi' is 300,000 km.
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The perimeter of the polygon shown is approximately 84.91 centimeters.
According to the given image
∠B = ∠D and AB = AD.
To find the perimeter, break the polygon into smaller shapes and find the perimeters of those shapes.
Note that triangle ABD is isosceles since AB = AD, so ∠ABD = ∠ADB. Draw imaginary segments BC and DC, which create two right triangles, ABC and ADC. Since ∠B = ∠D, it is clear that ∠ABC = ∠ADC. Additionally, it is given that BC = 8.5 cm and DC = 7.5 cm.Now, the Perimeter of triangle ABD is calculated in the following way:
AB = AD (given) = 6.5 cm
We can use the Pythagorean theorem on triangle ABD to find BD:
[tex]BD^2 = AB^2 - (\frac{1}{2} \times AD)^2\\BD^2 = 6.5^2 - (\frac{1}{2} \times 6.5)^2\\BD^2 = 25.5625\\BD \approx 5.05 cm[/tex]
So, the Perimeter of triangle ABD is
= AB + AD + BD
[tex]\approx 6.5 cm + 6.5 cm + 5.05 cm \\ \approx 18.05 cm[/tex]
Again, the Perimeter of triangle ABC is
AC = BC + AB = 8.5 cm + 6.5 cm = 15 cm
As ∠ABC is a right angle and AC is the hypotenuse, use the Pythagorean theorem to find AB:
[tex]AB^2 + BC^2 = AC^2\\AB^2 + 8.5^2 = 15^2\\AB^2 = 81\\AB = 9 cm[/tex]
Perimeter of triangle ABC
= AB + BC + AC = 9 cm + 8.5 cm + 15 cm = 32.5 cm
Perimeter of triangle ADC:
Similar to triangle ABC, find AD using the Pythagorean theorem:
[tex]AD^2 + DC^2 = AC^2\\AD^2 + 7.5^2 = 15^2\\AD^2 = 135\\AD = 3\sqrt{5} cm \approx 11.86 cm[/tex]
Perimeter of triangle ADC
= AD + DC + AC = 11.86 cm + 7.5 cm + 15 cm = 34.36 cm
Finally, to find the perimeter of the entire polygon, add the perimeters of the three triangles:
Perimeter of polygon = Perimeter of triangle ABD + Perimeter of triangle ABC + Perimeter of triangle ADC
Perimeter of polygon is
[tex]\approx 18.05 cm + 32.5 cm + 34.36 cm \approx 84.91 cm[/tex]
Therefore, the perimeter of the polygon is approximately 84.91 centimeters.
Related Questions
Solve for B:
A=1/2b*h
Answers
Answer:
see attached picture please
How do you Simplify :(2p^-3)^5
Answers
Answer:
The final simplification is (32p^-15).
Step-by-step explanation:
Given:
(2p^-3)^5 we have to simplify.
Property to be used:(Power rule)
Power rule states that: [tex](a^x)^y=a^x^y[/tex] ...the exponents were multiplied.
Using power rule.
We have,
⇒[tex](2p^-3)^5[/tex]
⇒[tex](2^5)(p^-3^*5)[/tex] ...taking exponents individually.
⇒[tex]32(p^-^1^5)[/tex] ...[tex]2^5=2*2*2*2*2=32[/tex]
⇒[tex]32p^-^1^5[/tex]
So our final values are 32p^-15
What are accepted without proofs in a logical system
Answers
Postulates, Axioms, and Common Notions are accepted without proofs in a logical system.
Explanation:
Postulates or axioms are those statements which are considered to be true and these serve as a starting point or a premise for further arguments or reasoning purposes.
Common notions which are sometimes referred to as axioms represents the magnitudes of one kind.
In mathematics, axioms are classified into two types namely,
1. Logical axioms: Used in two distinguishable but relatable senses.
2. Non-logical axioms: Substantive assertions based on the elements of any theory.
Solve the following systems of equations express your answer as an ordered pair in the format (a,b) With no spaces between the numbers or symbols
2x+7y=-7
-4x-3y=19
Answers
Answer: 5/11,5
Step-by-step explanation:
Multiply equation one by -4
Multiply equation two by 2
Then, it becomes
-8x - 28y = 28
-8x - 6y = 38
Subtract equation two from equation one .
It becomes -22y = -10
Divide both sides by 22, you have y= 5/11
NOW substitute y=5/11 into equation two to get X.
-4x -3(5/11) =19
-4x = 19 + 15/11
-4x = 20
Divide both sides by -4
X = -5
To solve the system of equations, the elimination method was used, resulting in the solution of the equations as an ordered pair (-6 16/77, 5/11).
To solve the system of equations 2x + 7y = -7 and -4x - 3y = 19, one can use the elimination method. This involves manipulating the two equations to eliminate one of the variables, allowing the other variable to be found. We can multiply the first equation by 2 to align the coefficients of the 'x' terms and then add the equations to cancel out the 'x' terms.
Multiply the first equation by 2: 4x + 14y = -14.
Add this to the second equation: (4x + 14y) + (-4x - 3y) = -14 + 19.
This simplifies to 11y = 5, and solving for 'y' gives y = 5/11.
Substitute 'y' back into the first original equation: 2x + 7(5/11) = -7.
Solve for 'x', which gives x = -6 16/77.
So, the solution to the system of equations, expressed as an ordered pair, is (-6 16/77, 5/11).
Solve 11 kx + 13kx = 6 for x.
Answers
Answer:
Step-by-step explanation:
11kx + 13kx = 6.......for x
24kx = 6.....divide both sides by 24k
x = 6 / (24k)
x = 1/4k OR k/4
A rectangle with length 3” and width 6”
Answers
Answer:
do you want area? if so 18"
Step-by-step explanation:
three and two sevenths plus eight and one third
Answers
what is the answer to -2 1/2+4
Answers
Answer:
Step-by-step explanation:
I don’t know, why are you asking me?
Oliver drives 45 miles per hour.Write an expression that represents the distance in miles he will travel for h hours driven.
Answers
Answer:
45h=d
Step-by-step explanation:
If d represents the distance in miles, then the equation would be 45h=d because when you multiply 45 by the amount of hours h, then you would get the total distance in miles. For example, Oliver drives 45 miles per hour for 3 hours. When we substitute h, the number of hours, for 3, then we get:
45(3)=d
And all we need to do is to multiply them together to get d, which in this case, it is 135 miles.
An electronics store usually sells computers priced at $1500 each. If the customer orders the computer over the Internet, he has to pay only $1200 for the computer. If p represents the percent decrease in price of the computer, which proportion can be used to calculate p?
Answers
Answer:
B is the answer
3/7 of a number is 69.What is the number?
Answers
Answer:
Step-by-step explanation:
Let the number be x
3/7 of x = 69
3x/7 = 69
Cross multiply
3x = 69×7
3x = 483
x = 483/3
x = 161
$250 at 6% for 4 years find the interest
Answers
Answer:
I=60
Step-by-step explanation:
So
P=$250
R=6%
T=4
So to get the answer we would need to multiply everything to get the interest so the answer would be 60 because 250 times 6% equals to 15 then we would multiply 15 by 4 and then get out answer of $60 interest.
What is 6x-6y=-24
Y=3x+14
Answers
Answer: x=13
Step-by-step explanation:
Replace u wit y = 3x+14
6x-6(3x+14)=-24
6x-18-84 = -24
6x-102=-24
Add -102 on both sides
6x=78
Divide 6 on both side and have your answer
Answer:
Step-by-step explanation:
I've already answered this question.
One side of a shipping container measures 8 feet. The container is a cube. What is the container's volume in cubic feet?
(A)cubic feet
(B)cubic feet
(C)64 cubic feet
(D)512 cubic feet
Answers
Answer:c
Step-by-step explanation:
Subtract
(4x²+6) - (2x - 5)
O A. 4x2 - 2x+11
O B. 2+1
O C. 4x2 - 2x+1
O D. 2x + 11
SUBMIT
Answers
Answer:
A. 4x² - 2x + 11
Step-by-step explanation:
(4x² + 6) - (2x - 5) =
Drop the first set of parentheses since it is unnecessary.
= 4x² + 6 - (2x - 5)
To drop the second set of parentheses, you must change every sign inside the parentheses.
= 4x² + 6 - 2x + 5
Now combine like terms.
= 4x² - 2x + 11
F(x)=3x-1 and g(x)=x+2 find (f+g)(x)
Answers
In this question, you're solving by adding the two expressions together.
(f+g)(x) is the same as:
3x - 1 + x + 2
Solve:
3x - 1 + x + 2
combine like terms:
4x - 1 + 2
4x + 1
Answer:
4x + 1
Write an equation in slope-intercept form for the line that passes through the points (6,-3) and
(0, 2).
Answers
Answer:
y = - [tex]\frac{5}{6}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (0, 2)
m = [tex]\frac{2+3}{0-6}[/tex]= [tex]\frac{5}{-6}[/tex] = - [tex]\frac{5}{6}[/tex], thus
y = - [tex]\frac{5}{6}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, - 3), then
- 3 = - 5 + c ⇒ c = - 3 + 5 = 2
y = - [tex]\frac{5}{6}[/tex] x + 2 ← equation of line
The equation of the line in slope-intercept form that passes through the points (6,-3) and (0, 2) is y = -5/6x + 2, where -5/6 is the slope and 2 is the y-intercept.
Explanation:To write an equation in slope-intercept form (y = mx + b) of the line that passes through two points (6,-3) and (0, 2), first, we need to calculate the slope (m).
The formula to calculate the slope is (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we get the slope as (2 - (-3)) / (0 - 6) = 5 / -6 = -5/6.
Next, substitute one of the points and the slope into the equation to find the y-intercept (b). If we use (0, 2), we get 2 = -5/6 * 0 + b, hence, b=2.
Therefore, the equation of the line in slope-intercept form that passes through these points is y = -5/6x + 2.
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Which choice correctly compares the two decimal numbers to hundredths?
A) 73.28 > 74.22
B) 73.47 > 73.52
C) 73.51 < 73.19
D) 74.73 < 74.86
Answers
Austin correctly answered 92% of the questions on the geography quiz. Liz and third 47 of the 50 questions correctly who earned a higher score? Explain.
Answers
92%<94%
Liz earned a higher score
Final Answer:
Liz's score is higher than Austin's
Explanation:
To solve this problem, first we need to calculate the percentage of correct answers that Liz got. We know that Liz answered 47 questions correctly out of a total of 50 questions. To calculate the percentage, we'll divide the number of questions Liz answered correctly by the total amount of questions and then multiply by 100.
This gives us the percentage of correct answers that Liz got.
We then compare it to the percentage that Austin got, which is 92%.
Doing so, we find that Liz's score is higher than Austin's. Hence, Liz earned a higher score.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The coefficient of xy in the product of (4x2 + 2y) and (3x + y2) is _______ .
Answers
A car is priced at $12,000. The monthly payment is 3% of the price. How much is the monthly payment?
Answers
Answer: $ 360
Step-by-step explanation:
since the monthly payment is 3% of the price , this means that the monthly payment is 3% of 12000
= 0.03 x 12000
= $ 360
Which equation is true?
-
A. (6 + 2) + 7 = 6 + (2 + 7)
B. (6 - 2) - 7 = 6 - (2 - 7)
C. (6 - 2) + 7 = 6 - (2 + 7)
D. (6 = 2) = 7 = 6 - 12 = 7)
Answers
Answer:
(6 + 2) + 7 = 6 + (2 + 7)
Explanation:
(6 + 2) + 7
6 + 2 = 8
8 + 7 = 15
6 + (2 + 7)
2 + 7 = 9
9 + 6 = 15
15 = 15
You will be adding 6, 2 and 7 no matter what. The parenthesis do not make a difference. 6 + 2 + 7 is the same thing as 6 + 2 + 7. 15 = 15.
Answer:
A.
Step-by-step explanation:
A. 15 = 15 (true)
B. -3 = 11 (false)
C. 11 = -3 (false)
Use counting rules to find the following probabilities.
A full house (in poker) consists of three of one kind of card and two of another kind of
card. Find the probability of a full house consisting of three kings and two queens.
Answers
Answer:
0.00144
Step-by-step explanation:
(13/1)(4/3)(12/1)(4/2)/(52/5)=(13)(4)(12)(6)/2598960=3744/2598960≈0.00144
the Rodriguez family need to drive 250 miles to visit their cousins. if they have already driven 113.8 miles how much farther do they need to drive?
Answers
Answer: 136.2 miles
250-113.8=136.2
Answer:
136.2
Step-by-step explanation:
250-113.8=136.2
6. A shoe store sells boots,
sandals, and
sneakers. About how
many more
sneakers did the store sell
than sandals
and boots combined?
Items Sold
Boots
5,362
Sandals
7,741
Sneakers
22,179
Answers
Answer:
9076
Step-by-step explanation:
Is the relation given by the set of ordered pairs below a function? (Yes or No)
(3,-7), (2,4), (-3,-7), (3,0), (0,2)
Answers
Answer:
No
Step-by-step explanation:
The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular X value. The Y value of a point where a vertical line intersects a graph represents an output for that input X value. If we can draw any vertical line (left to right) that intersects a graph more than once, then the graph does not define a function because that X value has more than one output. A function has only one output (X) value for each input value.
EXAMPLES:
(3,-7), (2,4), (-3,-7), (3,0), (0,2)
The first numberin each set is th X value or output.
The 3 has two Y values, -7 and 0, it can only have one Y value.
Only one X can have a one Y vale to make it a function.
The relation given by the set (3,-7), (2,4), (-3,-7), (3,0), (0,2) is not a function, since the x-value 3 corresponds to two different y-values (-7 and 0).
Explanation:In mathematics, a relation is a set of ordered pairs. For that set to be a function, each input (x-value) should correspond to only one output (y-value). That means no two ordered pairs should have the same x-value but different y-values.
Looking at your given set (3,-7), (2,4), (-3,-7), (3,0), (0,2), we can see that the x-value 3 corresponds to two y-values: -7 and 0. Therefore, this relation is NOT a function.
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What is the perimeter for this shape?
Answers
Answer:
the perimeter for this shape is 550 in
100+ 22= 122in
What is the slope of a line perpendicular to the line with equation y = 3x – 1? –3 –1 3
Answers
[tex]m=-\frac{1}{3}[/tex] is the slope of a perpendicular line.
Step-by-step explanation:
For two lines to be perpendicular to each other, their slope must be mutually negative reciprocal (to check if the numbers are multiplied, they should be -1).
Given equation:
y = 3 x – 1
We know the standard slope equation, as y = m x + b. When comparing this with the given equation, we get slope value,
m = 3
But in question, they asked to find slope of a line perpendicular to the line. So, apply this ‘the perpendicular slope will be the opposite (negative) reciprocal of the original slope’
Therefore, the slope of a perpendicular line is
[tex]m=-\frac{1}{3}[/tex]
0.4x3.2
Step by step
Answers
Answer:
Step-by-step explanation:
0.4 × 3.2
Convert to fraction
0.4 = 4/10 = 2/5 & 3.2 = 32/10 = 16/5
0.4 × 3.2 = 2/5 × 16/5 = 32/25 = 1.28
Without conversion you press ur calculator and you get 1.28
What is the solution to 4log4(x+8)=4^2
Answers
Answer:2492
Step-by-step explanation:
4Log4(x+8)=4^2
Divide both sides by 4 we get
Log4(x+8)=4^2/4
Log4(x+8)=4
4(x+8)=10^4
4(x+8)=10000
Open brackets
4x+32=10000
Subtract 32 from both sides
4x+32-32=10000-32
4x=9968
Divide both sides by 4
4x/4=9968/4
X=2492