To the nearest unit, what is the perimeter of this pentagon?
5
4
3
2
1
65
-3 -2 -1
2 3
4
بي ط ا
27 units
29 units
30 units
34 units
Answers
Answer:
The perimeter of the pentagon is;
29 units
Step-by-step explanation:
Let A, B, C, D, and E represent the vertices of the pentagon
The "x" and "y" coordinates of the vertices of the pentagon are given as follows;
A(-6, 2), B(-2, -2), C(5, -2), D(5, 2), E(-2, 5)
The length of the sides between each pair of coordinates can be found using the following formula;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, we have;
Length of segment AB = √((-2 - (2))² + (-2 - (-6))²) = 4·√2
Length of segment BC = √((-2 - (-2))² + (5 - (-2))²) = 7
Length of segment CD = √((5 - 5)² + (2 - (-2))²) = 4
Length of segment DE = √((5 - 2)² + (-2 - 5)²) = √58
Length of segment EA = √((5 - (2))² + (-2 - (-6))²) = 5
The length of the perimeter of the pentagon = 5+√58 + 4 + 7 + 4·√2 ≈ 29.2726273554 ≈ 29
The length of the perimeter of the pentagon ≈ 29.
Related Questions
Hello!May I please have help with the following!Will award brainliest.
Question is: Work of the bearing of Q from P.
Answers
Answer:
The bearing of Q from P is [tex]75^{o}[/tex].
Step-by-step explanation:
The diagram shows the locations of each point with respect to their bearings. As in bearing, angles are measured with the north axis taken as a reference point.
So that,
the bearing of Q from P would be the value of angle NPQ.
<NPQ = [tex]180^{o}[/tex] - <NQP (alternate angle principle)
= [tex]180^{o}[/tex] - [tex]105^{o}[/tex]
= [tex]75^{o}[/tex]
Thus, the bearing of Q from P is [tex]75^{o}[/tex].
Furthermore, the bearing of P from Q can be determined as;
= [tex]360^{0}[/tex] - [tex]105^{o}[/tex]
= [tex]255^{o}[/tex]
The bearing of P from Q is [tex]255^{o}[/tex].
2. Out of 35 students participating in a debate, 10 are girls. The probability that winner is a boy is: a)1/7 b)3/7 c)4/7 d)5/7
Answers
Answer: d) 5/7
Step-by-step explanation:
10 out of 35 of the students are girls. The number of boys is therefore:
= 35 - 10
= 25 boys
Probability that the winner is a boy is:
= 25/35
Take that fraction to the simplest by dividing both by 5:
= 5/7
5 rate?? my brother doesn't want to helpx me someone help?]'
Answers
Answer:
-5/2 is the reciprocal of -2/5, but the opposite would just be 5/2.
Step-by-step explanation:
Answer:
yes the answer is yes i think im not good at explaing but hope that helps
Step-by-step explanation:
Please Answer
Find the value of each variable
Answers
Answer:
x=45 and y=45
Step-by-step explanation:
It is given that two variables are the side lengths of the box symbol that indicates it is a right angle. Since a right angle equals 90 degrees, It is safe to say that the two side lengths that make up the right angle are half of 90.
A boat leaves the dock and travels 10 miles due south, then 24 miles due west. how far is the boat from the dock? pls help!
Answers
Answer:
I think it's A
Step-by-step explanation:
Subtract 24-10 and it leaves you with 14
nine over twelve equals fifteen over n
A. 18
B. 20
C. 22
D. 17
Answers
Answer:
[tex]\frac{9}{12} = \frac{15}{y} \\(12 * 15) / 9 = 20\\B) 20[/tex]
Step-by-step explanation:
-9/15 in standard form
Answers
Answer:
9/15=0.6
6×10^1
Step-by-step explanation:
hope it helps
8. What is the greatest common factor
of 42 and 70?
Answers
Answer:
The answer is 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
State the equation of the straight line with:
a - a gradient of 4 passing through the y-axis at (0,7)
b - a gradient of 5 passing through the y-axis at (0,1)
c - a gradient of 6 passing through the y-axis at (0,2)
d - a gradient of 9 passing through the y-axis at (0,13).
Answers
Answer:
a) y = 4x + 7 (b) y = 5x + 1 (c) y = 6x + 2 (d) y = 9x + 13
What is the value of X in the equation?
Answers
Answer:
x = 6
Step-by-step explanation:
9+3 = (4x+2x)/3
12 = 6x/3
(12)(3) = 6x
36 = 6x
36/6 = x
6 = x
Can someone answer this
Answers
Answer:
The answer is the first option.
Step-by-step explanation:
Remember
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
Plug in for each!
[tex]m = \frac{ 1 - 2}{4 - 8} = \frac{ - 1}{ - 4} = \frac{1}{4} [/tex]
Aimee and Stan work in the same department for a large corporation. They are curious about the proportion of their coworkers who have children. Aimee obtains a list of all the workers in the department, randomly picks 20 names from the list, and asks those coworkers if they have children. She finds that 72% of those surveyed have children. Stan waits in the break room one morning and asks the first 20 coworkers that pass by if they have children. He finds that 85% of those surveyed have children. Which result is the better estimate of the proportion of coworkers who have children?
Neither result is a good estimate.
85%
72%
Both results are equally good estimates.
Answers
Answer:
I think 40 percent
Step-by-step explanation:
27 minus 9X +15 Y please
Answers
27 - 9x +15y
Factor out common term 3 :
3(9-3x+5y)
hope this helps!
Answer:
3(9-3x+5y)
Step-by-step explanation:
Solve this system of equations using substitution. x=4 3x−y=−1
Answers
Answer:
y=13
Step-by-step explanation:
12-y=-1
-y=-13
y=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
x=4
Step 2
3x-y=-1 Substitute 4 for x
(3)(4)-y=-1
-y=-13
Step 3
-y=-13 Divide both sides
answer
y=13
Which is not a correct name for the line shown?
R
P
m
Q
Answers
Plz rate me 5
Anybody know what 2(2x - 9) = 38 is?
Answers
Answer:
x = 5
Step-by-step explanation:
4x - 18 = 38
38 - 18 = 20
20 / 4 = 5
Answer:
x=14
Step-by-step explanation:
Rectangular tiles, which measures 8 by 6 ,are arranged without overlaping ,to create a square ,The minimum number of these tiles needed to make a square is
Answers
Answer:
24
Step-by-step explanation:
To obtain the minimum number fi tiles needed;
We find the Lowest common multiple of 8 and 6
Multiples of :
6 = 6, 12, 18, 24, 30, 36, 42, 48,...
8 = 8, 16, 24, 32, 40, 48, 56,...
Hence, the lowest common multiple of 8 and 6 is 24
Answer:
its B
Step-by-step explanation:
-7x - 36 = 20 -3x
Help
Answers
Step-by-step explanation:
-7x-36=20-3x
-36-20=-3x+7x
-56=4x
-56/4=X
-14=X
X=-14 answer
The graph shows the solution to which system of inequalities
Answers
Answer: the third one
Step-by-step explanation:Hope this is correct
(-2, 4) and (3, -1)
Write equation in slope intercept form
Answers
Answer: y=-x+2
Step-by-step explanation:
m=(-1-4)/(3+2)=-5/5=-1
y=-x+b
Plug in the values
y=-x+2
Answer:
y = − x + 2
Step-by-step explanation:
An amusement park sold 35 discount tickets and 15 full price tickets. What percentage of the tickets sold or discount tickets?
Answers
Answer:
70%
Step-by-step explanation:
Will mark brainliest!
Please help ,I wanna make sure if I’m correct if not please help me get the correct answer :)
Answers
Answer: One just believe in your self two your pic doesn't excise it is just a paper no anything
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
A) x=13
B) x=7
C) x=10
D x=5.5
Answers
Answer:
B) x=7
Step-by-step explanation:
Take 16/4 and 8/2 to get 4 for the both of them.
Then take 2.5 x 4 to get 10.
Finally fill in what you know.
10= x-3
7=x
Answer: It’s a or 13
Step-by-step explanation: took the test got 100%
Subtract -7x + 6 from -2x^2 + 9x - 2
Answers
Answer:
[tex]( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8[/tex]
PLEASE HELP MEEEE 28 POINTS!!!!
A. Find an equation in point-slope form for the line having the slope m = 6 and containing the points (7,2)
B. Find an equation in point-slope form for the line having the slope m=-4 and containing the point (1,9).
Answers
Answer:
Part A)
An equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
An equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
Step-by-step explanation:
Part A)
Given
Slope m = 6
Point (7, 2)
To Determine
Find an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = 6(x₁, y₁) = (7, 2)substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 2 = 6(x-7)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
Given
Slope m = -4
Point (1, 9)
To Determine
Find an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = -4(x₁, y₁) = (1, 9)substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 9 = -4(x-1)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
The answer is:
1) y - 2 = 6(x - 7)
2) y - 9 = -4(x - 1)
Work/explanation:
The point slope formula is:
[tex]\bf{y-y_1=m(x-x_1)}[/tex]
where m = slope;
(x₁, y₁) is a point on the line.
For this problem, m = 6 and the point is (7,2).
Plug in the data:
[tex]\bf{y-2=6(x-7)}[/tex]
__________________
For this problem, m = -4 and the point is (1,9).
Plug in the data:
[tex]\bf{y-9=-4(x-1)}[/tex]
Hence, these are the equations.
f(x)= -4(x+1)^2 + 3 in standard form f(x) = ax^2+bx+c
Answers
Answer:
-4x^2 - 8x - 3
Step-by-step explanation:
f(x)= -4(x+1)^2 + 3
-4 * (x^2 +2 x + 1) +3=
-4x^2 -8x- 4 +1 =
-4x^2 - 8x - 3
The graph shows the value of an investment after x years.
the initial amount of the investment is $___ , the investment grows at the rate of ___% each year, and the value of the investment after 10 years is $___
NEED HELP!!! I WILL GIVE POINTS IF HELP IS GIVEN!!
Answers
Step-by-step explanation:
it looks like compound interest.
initial amount $500
6% growth
after 10years $895.42
geometry help please explain no graph
Answers
Payoff/current balance: $10,000
Interest rate (APR%): 18%
Minimum/monthly payment: $200
Choose the answers that are closest to your online calculations. How many months will it take to pay off the balance?
6 months
109 months
94 months
83 months
Answers
Answer:
94
Step-by-step explanation:
PLEASE HELP URGENT 20 POINTS
Select the measure of the complement or supplement of the angle. If there is no complement or supplement, select no complement or supplement.
55.1°
A. 124.9°
B. 119.9°
C. 49.9°
D. no complement or supplement
Answers
A. 124.9 is a supplement angle