A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.
Answer:
Length of the fence required = 135 m
Step-by-step explanation:
Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid
Perimeter of ABCD = AB + BC + CD + AD
Since, AB = BC = EF = ED = 25 m
From the given right triangle BEC,
m∠EBC = m∠ECB = 45°
ΔBEC will be an isosceles triangle.
So, BE = EC
By Pythagoras theorem,
BC² = BE² + EC²
25² = 2(EC)²
EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m
And DC = (DF + EF + EC)
= EC + EF + EC [Since, DF = EC]
= 2EC + EF
= 35.4 + 25
= 60.4 m
Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25
= 135.4 m
≈ 135 m
Therefore, length of the fence required = 132 m
What is the slope of a line that is perpendicular to the line whose equation is 8y−5x=11?
Ill give someone brainlist
9514 1404 393
Answer:
-8/5
Step-by-step explanation:
When you solve for y, the slope of the line is the x-coefficient. For the given line, that is ...
8y = 5x +11 . . . . . add 5x
y = 5/8x +11/8 . . . . divide by 8
The given line has a slope of 5/8. The perpendicular line will have a slope that is the opposite of the reciprocal of this:
-1/(5/8) = -8/5 . . . . slope of perpendicular line
Answer:
The slope of the perpendicular line will be -8/5, or -1.6
Step-by-step explanation:
First we need to rearrange the equation to show the slope, putting in the format y = sx + c:
[tex]8y - 5x = 11\\8y = 5x + 11\\y = \frac{5}{8}x + \frac{11}{8}[/tex]
So the given line has a slope of 5/8.
A line perpendicular to that will have a negative reciprocal of that slope, so it's slope will be -8/5.
If f(x) = 3x + 2, what is f(5)?
Answer:
17
Step-by-step explanation:
f(x) is the same as y=. "What is f(5)" is the same as saying what is y=3x + 2 when x is 5.
Either way, you are going to replace x with is numerical value, which is 5, and then solve.
y = 3(5) + 2
y = 15 +2
y = 17
f(5) = 17
write an equation in point-slope form of the line that passes through (1,0) and (4,4)
Answer:
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Step-by-step explanation:
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Answer:
y=6x+4.2
Step-by-step explanation:
rakka flakka told me
literally i need help, khan academy is not helping!!
Answer:
Top = 1588.86
Bottom = 125.66
Top
7 * π * 8.5^2 = 1588.86
Bottom
10 * π * 2^2 = 125.66
Sydney has a bag of stuffed animals containing, 1 elephant, 4 bears, 3 cats, and 2 dogs. If she randomly selects 1 stuffed animal from the bag, places it on her bed and then selects another animal. What is the probability that she chooses a bear both times?
Answer:
2/15
Step-by-step explanation:
Step one:
given data
sample space
1 elephant,
4 bears,
3 cats, and
2 dogs.
sample size= 1+4+3+2= 10
Required:
By selecting without replacement, the probability that she chooses a bear both times
Step two:
the first event= Pr(bear)= 4/10= 2/5
the second event, the sample size is now 9 and the number of bears is now 3
Pr(bear)= 3/9= 1/3
Hence, the probability that she chooses a bear both times
= 2/5*1/3
=2/15
Help, is this correct?
Answer:
Yes good job!
Step-by-step explanation:
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline. Write an
equation that represents this path.
Answer:
-1/4x + 3/2
Step-by-step explanation:
i dont know how explain but heres the answer :)
Ben purchased lunch today at the school cafeteria for $5.00. Before today, Ben owed $10.00 on his lunch account. What is the status of his lunch account after today?
Answer:
-$15.00
Step-by-step explanation:
simple math bro
What’s the length of the diagonal line that splits the square?
What is the slope of the line and y intercept PLEASE HELP
Answer:
c. slope: -3/2, y-intercept: 1/2
Step-by-step explanation:
First, let's find out the y-intercept. The y-intercept is where the line crosses the y-axis (the vertical line). In this question, the line crosses the y-axis at 1/2, so that is the y-intercept.
Now, we'll find the slope. The first thing we can do is look for two simple points on the graph. The points I'm going to use are (3, -4) and (1, -1). Slope is written rise over run. If you look at the point (3, -4) and rise (go up/down) 3 (up) and run (go across) -2 (left), you will reach the point (1, -1).
So the slope is -3/2 and the y-intercept is 1/2, which is in answer c.
I hope this helps you out, and have an amazing day (。・v・)ノ゙
Why did many think antisemitism would fade away after the Holocaust? Why do you think it has endured?
Answer:
(someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Step-by-step explanation:
After 12:00, the number of people in Mal-Wart
grows steadily until 6:00p.m. If the equation
y= 228 + 58x represents the number of people in
the store x hours after 12:00, how many people
were in the store at 12:00?
Answer:
228
Step-by-step explanation:
substitute 0 for x
What are the slope and the y-intercept of the linear function that is represented by the table?
x
y
–3
18
0
12
3
6
6
0
The slope is –2, and the y-intercept is 6.
The slope is –2, and the y-intercept is 12.
The slope is 2, and the y-intercept is 6.
The slope is 2, and the y-intercept is 12.
Answer:
B. The slope is -2, and the y-intercept is 12
Step-by-step explanation:
did it on edge 2020
Question : WHICH OF THE LINES IS PARALLEL ? HOW DO YOU KNOW ?
Answer:
B and R
I think that is the name of the lines. If not the the first two lines!!!!
Bonnie filled her cars gas tank. She put in 10 1/2 gallons and paid $15.36.
Does anybody know the ratio in fractional form to find the cost of gasoline per gallon?
And what is the cost of gasoline per gallon.
HELP ME WITH THIS PLEASE!!!
Which equation represents the graphed function?
O-3x+ 2=y
ox2-y
O 2x-3=y
Answer:
C or the third option.
Step-by-step explanation:
Answer:
The answer is C.) (3/2)x - 3 = y
Help Pretty please....
Answer:
B
Step-by-step explanation:
whats the slope of y= 1 over 2x-2
I NEED HELP ASAP! SO EASY
Answer:
165 hope this helps
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
Answer:
159
[tex]--------------------------------------------[/tex]
Step-by-step explanation:
-4 + 91=87
87 + 72=159
[tex]--------------------------------------------[/tex]
SIMPLE
Three pens and three notebooks cost $6.90. Two notebooks and one pen cost $4.10
Answer:
so whats the question then?
Step-by-step explanation:
3n - 5 =22 what is the value of n
Answer:
n = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3n - 5 = 22
Step 2: Solve for n
Add 5 to both sides: 3n = 27Divide 3 on both sides: n = 9solve this plz
z = 2a + 2. for a
Answer:
a=(z-2)/2
Step-by-step explanation:
You need to isolate your "a" variable so first you want to subtract 2 from both sides, leaving you with:
z-2=2a
then you want to divide by 2 on both sides to isolate your "a" variable which would leave you with
a=[tex]\frac{(z-2)}{2}[/tex]
please hurry!!! If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?
Answer:
d is the right answer the last one
Please help!!!!
Sarah wants to leave a tip of 15%. Her bill before the tip is $23.00. How much should she leave for the tip ? show your work.
Answer:
$26.45.
Step-by-step explanation:
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $23.00 meal cost is.This is always done by multiplying 0.15 by $23.00, or
0.15 x $23.00=$3.45.
So, the amount of tip you are going to leave is $3.45.
This makes the total cost of your meal (to write on your charge slip or other payment)
$23.00 + $3.45 = $26.45.
HELP PLS !!!!!!
what is the simple interest for $450 invested in a savings account at 2.25%
f)$18
g)$20.25
h)$202.50
i.)$470.25
Answer: i
Step-by-step explanation:im pretty sure
Question 5
Trent has 12 cups of ice cream for his daughter's birthday party
If each serving is
3/4
of a cup, how many children can eat ice cream?
А
1
B
9
С
12
D
16
Answer:
B. 9
Step-by-step explanation:
12 times 3/4 is 9
Answer:
it takes 4 of the 3/4 servings to make a whole number and it's 3 cups.
12/3= 4 and 4*4= 16
so 16 children can eat ice cream
or you could do 12/0.75= 16
you would do that because 3/4=0.75
you would divide and not multiply because you're seeing how many times 0.75 can go into 12
Step-by-step explanation:
Need help ASAP plzzzzz
Answer:
y=2x+1
Step-by-step explanation:
Input X=2 into the function, so y=2(2)+1, which is 5. This matches the table.
Answer:
It's the first one: y= 2x +1
Step-by-step explanation:
If you multiply 2 by 2, you'll get 4. then you add 1. You'll get 5.
same with the others-
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:1:7
Step-by-step explanation:
Answer:
for every 7 miles Nolan drove alexander drove 1
Step-by-step explanation:
S(n) is a function that squares numbers. Find S(13) when S(n) =n^2