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
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.
fill the answer in the question mark
? / 10 = 24
answer : 240
you do 24 x 10 :)
Plz help me will give crown.
the answer is -2/5 hope this helped
PLEASE ANSWER! WILL GIVE BRAINLIEST.
The ratios 9:18, 12:24, 15:30, 18:36, and 21:42 form a pattern of
equivalent ratios in the table below.
Which is another ratio in this pattern?
A. 1:3
B. 6:12
C. 24:27
D. 28:49
Write an equation representing the direct variation.
х
-2
3
4.
7
y
5
-7.5
-10
-17.5
1) k =
2)
Answer:
y = -2.5x
Step-by-step explanation:
The constant of variation = y/ x = 5/-2 = -2.5
Also -7.5 / 3 = -2.5
-10 /4 = -2.5 and so on
Solve each equation.
A. (8.5) (-3) = a
B. (-7) + b = (-11)
C. c-(-3) = 15
D. d.(-4) = 32
what is the slope for (-12,-5),(0,-8)
Answer:
m= - 1/4
Step-by-step explanation:
Peter earns $ 12.40 each week for completing his chores. Ria earns 1.2 times as money per week as Peter. How much does peter earn each week.? Show your work.
Answer:
Ria earns 14.88 dollars each week
Step-by-step explanation:
Amount earned by peter every week = $12.40
If Ria earns 1.2 times as money per week as Peter, then;
Amount Ria earns = 1.2 * 12.40
Amount Ria earns = 14.88
Hence Ria earns 14.88 dollars each week
PLEASE HELP AND QUICK
PLEASE HELP THANK YOU!
Answer:
the first one
Step-by-step explanation:
plz brainliest :)
Answer:
the first one
Step-by-step explanation:
If Mark wants to pay off a loan in 5 years and the bank charges 10 percent interest, how much would Mark pay for the entire loan?
The volume of a box can be found with the function V, where x is the length of the shortest edge of the box: V(x) = x3 + 5x2 – 14x What is the length of the shortest edge of the box if it has a volume of 30 cubic units? +/-
Answer:
The length of the shortest edge of the box is 3 units
Step-by-step explanation:
Since the volume of the box is given by the function
V(x) = x³ + 5x² – 14x
Where V is the volume and x if the length of the shortest edge of the box.
To determine the length of the shortest edge of the box if it has a volume of 30 cubic units, we will put V(x) = 30 and then find the value of x.
30 = x³ + 5x² – 14x
∴ x³ + 5x² – 14x – 30 = 0
The solution to the cubic equation is shown in the attachments below.
x₁ = 3 , x₂ = – 1.55, and x₃ = – 6.45
Since the length cannot be negative, the length of the shortest edge of the box is 3 units.
2(15 + q ) = __ + 2q
Answer:
30
Step-by-step explanation:
use distribution property
Answer:
30
Step-by-step explanation:
30+2q=_ + 2q
Cancell 2q
So the answer is 30
What is 16/24 in its simplest form?
Answer:
2/3
Step-by-step explanation:
16/24
4/6
2/3
Answer:
2/3
Step-by-step explanation:
16 ÷ 8 = 2
24 ÷ 8 =3
so the simplest form is 2/3
megan is trying to find the length of the segment using the Pythagorean Theorem
Part A : megan made one mistake in her work , which caused her to get the wrong answer what did she do wrong?
Part B : Calculate the correct length of the segment
Answer:
10
Step-by-step explanation:
To obtain the length of the segment :
a² + b² = c²
a = 8 ; b = 6
8² + 6² = c²
64 + 36 = c²
100 = c²
Square root of both sides :
Sqrt(100) = sqrt(c²)
10 = c
Mistake in the solution is that 6² = 36 and not 12
Is 4 km greater than 5000meters pls pls pls help
Answer:
No its not
4km =4000m < 5000m
Step-by-step explanation:
hope it helps
Answer:
5000 meter>4km
Step-by-step explanation:
4km is= 4000meter so 5000 meters i greater than 4km
which unit would you use to measure the length of a soccer field
A. km
B. m
C. cm
D. mm
Answer:
b
why would you measure with something too big or too small?
yo somebody help me on this i will mark you has brainlist c: plz
8 is greater than or equal to -20
Answer: Greater than
Step-by-step explanation: Because -20 is negative and that makes 8 greater than -20. Hope this helps <3
Answer: True
Step-by-step explanation:
Monte is buying hot dogs and buns for the school carnival. hot dogs come in packages of 18 and buns come in packages of 20. he wants to have the dame number of each. How many packages of hot dogs should he buy?
A. 2
B. 5
C. 9
D. 10
E. 38
Hey there!
Monte will need 9 packages of hot dogs.
To do this, we can first find the LCM.
To do this, first you find the prime factors of 20: 2 x 2 x 5
Then, you find the prime factors of 18: 2 x 3 x 3
Multiply each number by the greatest number it occurs:
2 x 2 x 3 x 3 x 5
And you get the LCM, 180. This means that you can get 180 total hot dogs and 180 total buns.
Then, divide that by the number of hot dogs in a package, to get the number of packages needed: 180/20 = 9
9 packages of hot dogs are needed.
THIS DOES NOT MAKE ANY SENSE
Answer:
The answer is 35
Step-by-step explanation:
It wants to know how many basketball and baseball players there are. If there are 20 basketball players and the ratio is 4:3 then you need to divide the number of basketball players by 4 then multiply by 3. Add 20 to that number and the answer is C
Answer:
35
Step-by-step explanation:
I came up with 35 because 20/4= 5, so we are multiplying players by 5. Similarly, 3x5=15 for baseball players. 20 basketball players plus 15 baseball players is 35. I hope this helps!
Joe has read 30% of a book. He has 49 more pages to finish. How many pages are there in the book?
Answer:
70 pages
Step-by-step explanation:
100%-30%=70%
70% of the book is 49 pages.
x is the total number of pages.
0.7x=49
7x=490
x=70
The total number of pages in the book is 70 if Joe has read 30% of the book and he has 49 more pages to finish.
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
Joe has read 30% of a book.
Remaining number of pages = 49
Let's suppose the total pages are x
The remaining % = 100% - 30% = 70%
[tex]\rm 70\% \ of \ x =40[/tex]
[tex]\rm \frac{70x}{100} =49[/tex]
x = 70 pages
Thus, the total number of pages in the book is 70 if Joe has read 30% of the book and he has 49 more pages to finish.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
Write an equation for the relationship shown in the table. E 0 2 3 -0.3 3.7 5.7
Helpppp!!!!!!!! Asappppp!!!!!
A. It will be twice as much as because the height is increased by 2
7. JKLM is an isosceles trapezoid.
Find the median, ZM, and J.
Answer:
Median is 31, if you are talking about the parallel line in between JK and and ML
Find the surface area of the triangular prism. Will mark brainliest!
Answer:
720 sq ft
Step-by-step explanation:
Formula:
2 B + P x H
Answer:
720 sq ft
Step-by-step explanation:
fourmula
2b+p×h
given log2 x=3/logxy 2 , express y in terms of x
Answer:
[tex]\bold{y=\dfrac{\sqrt[3]{\bold x}}x=\bold \big x^{-\frac23} }[/tex]
Step-by-step explanation:
[tex]\log_2x=\dfrac3{\log_{xy}2}\qquad\qquad\qquad\quad x>0\,,\ y>0\\\\\\\log_2x=3\cdot\dfrac1{\log_{xy}2}\\\\\\\log_2x=3\cdo\log_2(xy)\\\\\log_2x=\log_2(xy)^3\quad\iff\quad x=(xy)^3\\\\x=x^3y^3\\\\\dfrac{x}{x^3}=y^3\\\\y=\sqrt[\big3]{\dfrac{x}{x^3}}\\\\y=\dfrac{\sqrt[3]x}x[/tex]
{or: [tex]\dfrac{x}{x^3}=y^3\quad \implies\quad y=\left(\dfrac{x}{x^3}\right)^\frac13=\left(\big x^{-2}\right)^\frac13=\big x^{-\frac23}[/tex]}
Paul exercises for h hours a day for five days. Over the weekend, he exercises a total of 4.5 hours. What expression represents the number of hours Paul exercises in a full week? h /5 – 4.5 5 h + 4.5 7 h 5 + h + 4.5
Answer:
5 h+4.5
Step-by-step explanation:
I did on the test and got it right
Is 1 a prime or composite number? Explain your answer with complete details
Hello there! ;)
1 is neither prime nor composite.
Prime numbers have 2 factors.
Composite numbers have 3 or more factors.
However, 1 has 1 factor.
Therefore, it's neither prime nor composite.
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Find the unit rate.
84 miles in 12 days
Unit rate:
mi :
day
Answer:
7/12 7 miles a day
Step-by-step explanation: