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
the question is on the sheet.
area of the whole figure
[tex] = (x + 1)(2x + 3) \\ = x(2x + 3) + 1(2x + 3) \\ = 2 {x}^{2} + 3x + 2x + 3 \\ = {2x}^{2} + 5x + 3[/tex]
area of the unshaded region
[tex] = x(2x) \\ = {2x}^{2} [/tex]
area of the shaded region
[tex] = {2x}^{2} + 5x + 3 - {2x}^{2} \\ = ( {2x}^{2} - {2x}^{2} ) + 5x + 3 \\ = 5x + 3[/tex]
THEREFORE,
THE AREA OF THE FRAME IS C. 5x + 3
Which statement is not always true for a parallelogram?
Answer:
b
Step-by-step explanation:
Answer:
Diagonals are congruent drop a like if you got it right
Step-by-step explanation:
HELP ME ASAP PLEASE!!!!!
Answer:
88
Step-by-step explanation:
46= x° ( isosceles angles )
Now, taking all side of the triangle
46+46+y =180 ( sum of all side of triangle )
or, y= 180 -92
y = 88°
What is the least common denominator of 11/6 and 9/10?
Answer:
The least common denominator is 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
the least common multiple ( L.C.M ) of 6 and 10 = 30
Which linear inequality is represented by the graph?
Answer:
The answer would be the last option. y<2/3x-1
Step-by-step explanation:
The slope is 2/3 and the line crosses the y axis at -1. Since the shaded part is below the line it would make the sign less than (<)
Elaine is making a flower garden with rows of flowerS The garden is 20 yards long. She wants a total of 7 rows of flowers that are all the same Width. Which calculation should Elaine use to decide how wide to make each row?
Answer:
20/7
Step-by-step explanation:
hope this helps, but basically you divide 20 yards by 7 to get the width of each row
Answer:
8 4 / 7
Step-by-step explanation:
A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?
Answer:
[tex]\$ \ \dfrac{428}{500}x[/tex]
Step-by-step explanation:
Regular price of a pair of shoes = $[tex]x[/tex]
Discount offered = 20%
Amount of discount offered = 20% of $[tex]x[/tex]
Discounted price = Regular price - Amount of discount
Discounted price = $[tex]x[/tex] - 20% of $[tex]x[/tex] = 80% of $[tex]x[/tex] = [tex]\$ \frac{4}{5}x[/tex]
Now, it is given that there is a sales tax of 7% as well on the price.
Sales tax is applied on the discounted price.
Therefore, sales tax = 7% of [tex]\$ \frac{4}{5}x[/tex]
Final Price after applying the sales tax = [tex]\$ \frac{4}{5}x[/tex] + 7% of [tex]\$ \frac{4}{5}x[/tex]
[tex]\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x[/tex]
[tex]\Rightarrow \$ \ \dfrac{428}{500}x[/tex]
Therefore, the expression to represent the final price of the pair of shoes:
[tex]\$ \ \dfrac{428}{500}x[/tex]
Lita sees a sign that says you must be more than 48 inches tall to ride a roller coaster.
She writes the inequality as h > 48.
How can she graph the solutions of the inequality?
Plot an open circle at 48 and shade left.
Plot a closed circle at 48 and shade left.
Plot an open circle at 48 and shade right.
Plot a closed circle at 48 and shade right.
Answer:
Plot an open circle at 48 and shade right.Step-by-step explanation:
Answer:
C :)!
Step-by-step explanation:
Expand the linear expression 4(10x - 4).
40x - 16
40x + 16
40x - 4
10x - 16
Answer:
the correct answer is 40x-16
Step-by-step explanation:
here,
=4(10x-4)
=40x-16
Expressed
as a
decimal, 3% is
A
0.03
B
0.3
3.0
D
30.0
Answer:
0.03
Step-by-step explanation:
3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.
Answer:
A
Step-by-step explanation:
3/100=0.03
:))) Helps?
(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)
Answer:
The answer is (3-,5) watch is C cause if you do that but in math form it's the same
Which equation best represents the relationship between x and y in the graph?
y
A. O y = 4x - 1
B.Oy = 12-1
C.
y = 4x + 1
DO g =
1x +1
u3uwi2i2i3ij3j3ui
Step-by-step explanation:
ii3jj3i3i3i3i3i3ii3u3ieu so
What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5
Answer:
the answer is D
Step-by-step explanation:
Answer: D AKA (10*5)
Step-by-step explanation:
I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5 STAY SAFE :)Pl help me I will give Brainly
Answer:
Both gyms charge the same after 2 months and LA fitness has a greater initial fee.
5x – 18 > 2(4x – 15).
Answer:
x<4
Step-by-step explanation:
5x-18>2(4x-15)
5x-18> 8x-30
-18>3x-30
12>3x
4>x
x<4
The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?
Answer:
Length = 18
Step-by-step explanation:
Length= 2w - 4
Perimeter= 58
Perimeter= 2L + 2w
58 = 2(2w-4) + 2w
58 = 4w -8 + 2w
58 = 6w - 8
66 = 6w
11 = w
Plug in width to find the variable L
58 = 2L + 2(11)
58 = 2L + 22
36 = 2L
18 = L
Please help me with this
Answer:
The length= 16cm
The width= 6cm
The two long sides are 8cm both so 8 + 8 = 16
And the two short sides are 3cm both so 3 + 3 = 6
So your length should be 16cm and your width 6cm
I HOPE THIS HELPS! ∧ ∧
⊂∵→ω←∵⊃
help meeee please math
Given:
Quadrilateral ABCD is similar to Quadrilateral GHIJ.
Find the value of x.
A. 4.5
B. 8
C. 9
D. 12
E. 18
Answer:
A. 4.5
Step-by-step explanation:
at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost
Answer:
4,840
Step-by-step explanation:
15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.
convert 16 into binary
convert 16 into binary number is 0b10000
Jamal drew the function below. Which explains whether or not his function is linear?
On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (1.5, 0).
It is linear because it has a constant rate of change.
It is linear because it does not have a constant rate of change.
It is not linear because it has a constant rate of change.
It is not linear because it does not have a constant rate of change.
Answer:
A it is linear because it has a constant rate of change
Answer:
A.
Step-by-step explanation:
I just finished the test and got it right
Please help ASAP !!
Please help ASAP !!
Please help ASAP !!
Answer:
7/50
Step-by-step explanation:
That is the simpliest fraction. Hope dis helps
Write the verbal phrase as a algebraic expression
three times the sum of a number and 1
3 (n + 1) (expression)
3n + 3 (expression simplified)
I need help. Please answer if u do know
Answer:
i think is (-3,2) because it look like in negative and posted
The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to sea lvl (level) is _____ ft, and the elevation of the point farthest from sea lvl is _____ ft. (FILL IN THE BLANKS PLS HELP)
Answer:
The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
Step-by-step explanation:
Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.
–42ft, –20ft, –18ft, –8ft.
From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
help how do yall find this easy i cannot-
Answer:
153/50 or 3.06
Step-by-step explanation:
Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.
Ex. (3/2)*(4/3)
Write an explicit formula for an, the nth term of the sequence 33, 28, 23, ....
Answer:
I believe it's an = 33 - 5(n - 1) or 38 - 5n they both should work
Step-by-step explanation:
I'm think that explicit formulas are like an = a1 +d(n - 1) and just replace the Variables with the correct numbers
Members of a baseball team raised $1199.50 to go to a tournament. They rented a bus for $830.50 and budgeted $30.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answer:
The team can bring 12 players to the tournament.
Step-by-step explanation:
With the information provided, you can say that cost of going to a tournament is equal to the cost of renting the bus plus the result of multiplying the cost per player for meals for the number of players, which is:
c=830.50+30.75x, where:
c is the cost of going to a tournament
x is the number of players
Now, you can replace c with $1199.50 that is the total amount they raised and solve for x:
1199.50=830.50+30.75x
1199.50-830.50=30.75x
369=30.75x
x=369/30.75
x=12
According to this, the answer is that the team can bring 12 players to the tournament.