Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown
below. He knows that ABCD is a 140 m by 150 m rectangles, as shown below.
He also knows that E is 50 m from the side AB and 30 m from the side BC.
Determine the length of AE, the length of DE, and the perimeter of the pentagon
ABCDE.
Answers
The diagram of the pentagon is missing, so i have attached it.
Answer:
|AE| = 130 m
|DE| = 150 m
Perimeter of pentagon = 720 m
Step-by-step explanation:
From the diagram, we can find AE from pythagoras theorem;
|AE| = √(|AA'|² + 50²)
Where AA' is the length from A to the perpendicular angle.
Now, AB = 150, and A'B is parallel to 30 m. Thus, A'B = 30
AA' = AB - A'B = 150 - 30
AA' = 120
Thus;
|AE| = √(120² + 50²)
|AE| = √(14400 + 2500)
|AE| = √16900
|AE| = 130
Similarly,
|DE| = √(|DD'|² + |ED'|²)
ED' = BC - 50
ED' = 140 - 50
ED' = 90
Also, DD' is parallel to AA' and is = 120
Thus;
|DE| = √(120² + 90²)
|DE| = √22500
|DE| = 150
Perimeter of pentagon = 150 + 130 + 150 + 150 + 140 = 720
Related Questions
how many solution does -3 (4 - 3x) = 9x - 12
Answers
Answer: infinite solutions
Step-by-step explanation:
(−3) (4) + (−3) (−3x) = 9x + −12
−12 + 9x = 9x + −12
9x − 12 = 9x − 12
9x − 12 − 9x = 9x − 12 − 9x
−12 = −12
−12 + 12 = −12 + 12
0 = 0
If (2,-5) is a point on a line with an
undefined slope, which of these is
another point on the line?
A (0,-5)
B (-5,2)
C(2,3)
D(0,3)
Answers
Answer:
(2, 3)
Step-by-step explanation:
lines with undefined slopes are vertical lines
solve for X
x=2
2+ X = _______
Answers
Answer:
2+2=4
Step-by-step explanation:
What is the correct answer?
Answers
Answer:
C) y = 10/3x - 5
Step-by-step explanation:
Slope intercept equation is y = mx + b:
m is the slope
b is y-intercept
When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.
Example: y = [tex]\frac{10}{3} x - 5[/tex]
Start at the y-intercept which is -5. On graph you can see the line crosses the y axis at (0, -5). From this point rise 10 then run 3 you'll end up at point (3, 5). Connect the dots of the two points and you'll see a line like the one in the problem.
25p2 - 144
need to factor
Answers
Answer: (5p+12)(5p-12)
Step-by-step explanation:
Factor 25p2−144
25p2−144
=(5p+12)(5p−12)
Answer:
(5p+12)(5p−12)
To check:
(5p+12)(5p−12)
=(5p+12)(5p+−12)
=(5p)(5p) +(5p)(−12)+(12)(5p)+(12)(−12)
=25p2−60p+60p−144
=25p2−144
HELPPPPP RNNN PLEASEEEE
Answers
please help me i help you i send a picture
Answers
Answer:
30
Step-by-step explanation:
ita directly proportional so its 30.
this is because 20 times 2 is 40 and 15 times 2 is 30
Anyone can help me with this problem
Answers
Answer:
R=50 degrees
Step-by-step explanation:
All of the angle measures together are 180 degrees. You need to make an equation in order to solve this problem:
180= (3x+5) + (11x-1) + (5x+5)
You then combine like terms:
180= (3x+11x+5x) + (5-1+5)
180= 19x+9
Then, subtract 9 from 180:
171= 19x
Then, divide 171 by 19:
9= x
Finally, you plug the value of x into the equation representing angle R:
5 x 9 + 5
45 + 5
50
1)
Bill and John competed in the “Shot Put" event in their school's track
meet. Bill threw the shot 21 feet and 6 inches, while John threw the
shot 17 feet and 4 inches. How much greater was Bill's throw than
John's?
Answers
What is the equation of the line that is horizontal and goes through the y-axis
at -4?
Answers
Answer:
y = - 4
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (0, - 4) with y- coordinate - 4, thus
y = - 4 ← equation of horizontal line
what kinda math is this
Answers
What is the equation of the line in the graph?
Answers
Answer:
Step-by-step explanation:
84 divided by 10.92 long division(with work)
Answers
Answer:
7.692
Step-by-step explanation:
Divide 84 by 10.92 to get 7.69230769231
Round 7.69230769231 to the nearest thousandth to get 7.692.
Answer: 7.69 rounded
Step-by-step explanation: The numbers go on further but I just rounded it to the hundredths. The full number if you want is 7.69230769231.
Now, Change the divisor 10.92 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.
We then have the equations:
8400 ÷ 1092 = 7.69
and therefore:
84 ÷ 10.92 = 7.69
Both calculated to 2 decimal places.
0 0 0 7. 6 9
1 0. 9 2 |8 4. 0 0 0 0
− 0
8 4
− 0
8 4. 0
− 0
8 4. 0 0
− 7 6. 4 4
7. 5 6 0
− 6. 5 5 2
1. 0 0 8 0
− .9 8 2 8
.0 2 5 2
Remember that it can keep going on for more decimal places, but this is to 2 decimal places so the answer to 2 decimal places is 7.69.
Hope this helps!
What is the answer to this x + y = 16
Answers
x + y = 16
y = -3x
x=-8
y=24
-8+24=16
16=16
-3(-8)=24
24=24
) Which statements about -3 and -7 are true? Choose ALL the correct answers.
-3 is less than -7.
-3 is greater than -7.
The absolute value of -3 is less than the absolute value of -7.
The absolute value of -3 is equal to the absolute value of -7.
.) The absolute value of -3 is greater than the absolute value of -7.
DONE
Answers
Answer: -3 is greater than -7 and the absolute value of -3 is less than the absolute value of -7.
Step-by-step explanation:
For NEGATIVE numbers, the closer the value is to 0, the greater it is. -3 is closer to 0 than -7 is, so -3 is greater than -7. For POSITIVE numbers, the further away the number is from 0, the greater it is. The absolute value of -3 is 3 and the absolute value of -7 is 7, and 7 is farther away from 0 than 3 is. So, the absolute value of -3 is less than the absolute value of -7. Hope this helps!
Jack wants to buy a piggy bank at 6000 dollars . Black Friday is coming at November 6th and there are 80%of all goods how much will he now pay ?
Answers
Answer: 1,200 dollars
Step-by-step explanation:
We know that the cost before the discount is 6,000.
The discount price is 80% off.
So, subtract 4,800 by 6,000 because 80% of 6,000 is 4,800.
Now, we have to add the two zeros. We get 1200.
It is the answer to the question.
Slope intercept and all that stuff
Answers
Answer:
what?
Step-by-step explanation:
Find the value of Angle 4.
Find the value of x.
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
a )
[tex]angle \: 4 = 62°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
b )
[tex]8x + 6 = 62[/tex]
Subtract sides 6
[tex]8x + 6 - 6 = 62 - 6[/tex]
[tex]8x = 56[/tex]
Divide sides by 8
[tex] \frac{8x}{8} = \frac{56}{8} \\ [/tex]
[tex]x = 7[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
4 = 15.5 degrees
Explanation:
180 degrees - 118 degrees = 62 degrees
62/4= 15.5 degrees
Answer:
x = 7 degrees
Explanation:
8x+6=62
62-6=56
8x=56
x=7
If y varies directly as x, and x = 13 when y = 6, what is y when x = 65?
Answers
Answer:
y=30
Step-by-step explanation:
Write an expression for the total of 57 and j
Answers
Answer:
57 + j = A
Step-by-step explanation:
So, the word TOTAL comes up in this question, therefore we know we are adding. So the answer would be ~
57 + j = A
Were A is the answer.
Have a Great Day!!
~ PumpkinSpice1♥
24 of 30 workers take 1 hour lunch. What percent of the workers take 1 hour lunch?
Answers
Answer:
80%
Step-by-step explanation:
Divide 24 by 30
Answer: 80%
Step-by-step explanation:
Which rigid transformation(s) can map TriangleMNP onto TriangleTSR? reflection only rotation only translation, then reflection translation, then rotation
Answers
Answer:
C.) translation, then reflection
Step-by-step explanation:
It just is...I already know someone is about to see my answer and come up with this super logical explanation but dude this is just the simple terms of geometry at least in the topic I'm learning.....plus I got it correct on my quiz on edge lol
The triangle MNP is translated and then reflected. Then the correct option is C.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position. Picture, after translation, refers to the object's ultimate organization and placement. From just before the refers to the material's initial condition.
The translation does not change the shape and size of the geometry. But changes the location.
The reflection does not change the shape and size of the geometry. But flipped the image.
The triangle MNP is translated and then reflected. Then the correct option is C.
The diagram is given below.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ5
Find the slope of the line through the pair of points.
(17,-7) and (13,-4)]
Answers
Answer:
3/4
Step-by-step explanation:
(17,-7) And (13,-4). First take -4 and subtract it from-7. When you do that you get 3. Then Subtract 13-17. You get 4. Write 3 and 4 as a fraction. 3/4. The 3 is the x-value and the 4 is the y value. So 3/4 is your slope
i dont really get the second and third ones please help asap :/
Answers
Answer:
Step-by-step explanation:
1) y = 5x
x y
2 10
3 15
7 5 * 7 = 35
1 5 * 1 = 5
2) a = 4b
a b
12 3
20 5
4*10=40 10
1 1/4
3) m = n + 2
m n
5 3
10 8
20 18
1 -1
Find the slope from the points given:
(18, -5), (18, 20)
Answers
Answer:
UNDEFINED
Step-by-step explanation:
change in y over the change in x is how you'd find slope, however, x is the same in both of these, making this a limitation not an equation, therefore the slope is undefined 18-18 = 0 -> Anything divided by zero as a slope is undefined.
1.
Susan has five blocks of candy. She wantsstwo ciwe chook into -size pieces of
candy. How many pieces of candy willstrebe anettonale?
Answers
For each problem, explain or show your reasoning, a. 160 is what percentage of 40? b. 40 is 160% of what number? c. What number is 40% of 1602
Answers
Answer:
A. 160 Out of 40 is 400%./// B. The answer is 25/// C. The answer is 3905%
Step-by-step explanation:
( A ) One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 160 is 40% of = 160 X 100 = 400
40
( B ) The same thing as A but the numbers are switched
One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 40 is 160% of = 40 × 100 = 25
160
( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:
1602 - 40 = 1562
Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:
1562 = 39.05
40
We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?
39.05 x 100 = 3905%
160 is percentage of 40, 40 is 160% , number is 40% of 1602 are 64 , 64 and 640.8 respectively.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Problem A,
40% of 160 = 160 x 40 / 100
= 64
Problem B,
160% of 40 = 160 x 40 / 100
= 64
Problem C,
40% of 1602 = 1602 x 40 / 100
= 640.8
Therefore, 160 is percentage of 40, 40 is 160% , number is 40% of 1602 are 64 , 64 and 640.8 respectively.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Can anyone help me graph this plssss !
y−3=1/2(x+3)
I need this answer fasttt
Answers
Answer:
Slope=
2.000
1.000
=0.500
x−intercept=
−1
9
=−9.00000
y−intercept=
2
9
=4.50000
Step-by-step explanation:
Slope = 1.000/2.000 = 0.500
x-intercept = 9/-1 = -9.00000
y-intercept = 9/2 = 4.50000
Sam has started mowing lawns to save money for a new bike that costs $190. He charges $20 per hour for mowing lawns, and $35 per hour for gardening. However, he has to pay his dad $120 for the use of his lawnmower. Which of the following equations could be used to find the number of hours Sam has to work to buy his bike if m represents the number of hours he mows lawns, and g represents the number of hours he spends gardening? Group of answer choices
Answers
Answer:
310 = 20m + 35gStep-by-step explanation:
As per give we have
Earning = 20m + 35gSpending =$120Target amount = $190The equation to consider all is
190 = 20m + 35g - 120 ⇒ 310 = 20m + 35gSo correct option is the second one
Answer:
310=20m+35g
Step-by-step explanation:
i just took the test and got it right.
Step 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________ What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
Answers
Given:
The inequality is
[tex]-10+8x<6x-4[/tex]
To find:
The missing step in solving the given inequality.
Solution:
Step 1: The given equation.
[tex]-10+8x<6x-4[/tex]
Step 2: Subtract 8x from both sides.
[tex]-10+8x-8x<6x-4-8x[/tex]
[tex]-10<-2x-4[/tex]
Step 3: Add 4 on both sides.
[tex]-10+4<-2x-4+4[/tex]
[tex]-6<-2x[/tex]
Step 4: Divide both sides by -2 and change the sign of inequity as we divide the inequality by a negative number.
[tex]\dfrac{-6}{-2}>\dfrac{-2x}{-2}[/tex]
[tex]3>x[/tex]
Therefore, the missing step is [tex]3>x[/tex].
