The total perimeter of the fence is 68 ft and the area is 240 square feet. Based on this information, what are the dimensions of the fence?
Answer:
6ft by 40ft
Step-by-step explanation:
Perimeter = 2(L+W)
Area = LW
L is the length of the fence
W is the width
Given
P = 68ft
A = 240ft²
Substitute into the formula
68 = 2L+2W ... 1
240 = LW... 2
From 1;
34 = L+W
L = 34-W ... 3
Substitute 3 into 2
From 2;
LW = 240
(34-W)W = 240
34W - W² = 240
- W²+34W = 240
W²-34W - 240 = 0
W²+6W-40W - 240 = 0
W(W+6)-40(W+6) = 0
W-40 = 0
W = 40feet
Since
34 = L+W
34 = L + 34
L = 6ft
Hence the dimension of the fence is 6ft by 40ft
what is 0.4 × 16.21 = ?
Factorise 6x - 3y + 9
Please explain how to do this
Answer:
3(2x-y+3)
you factor every number in the math question.
On a coordinate plane, a line goes through points (0, 2) and (2, 0).
Caleb graphed the linear function y = –x + 2 of a system of equations. The other linear function passes through the points (–2, –8) and (1, –2).
What is the slope of the linear function that passes through the points (–2, –8) and (1, –2)?
What is the y-intercept?
Graph the linear function to determine the solution. What is the solution?
Answer:
2 , -4 , (2,0)
Step-by-step explanation:
The slope of the linear function is 2.
The y-intercept of the linear function is -4.
The solutions of the linear function are (0, -4), (1, -2), (2, 0), etc..
The graph is given below.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The linear function is y = mx + c
The linear function passes through (-2, -8) and (1, -2)
Now,
m = (-2 + 8) / (1 + 2)
m = 6/3
m = 2
The slope of the linear function is 2.
Now,
(-2, -8) = (x, y)
-8 = 2 x (-2) + c
-8 = - 4 + c
c = -8 + 4
c = -4
The y-intercept is -4.
The equation of the linear function.
y = 2x - 4
The solution of the line are (0, -4), (1, -2), (2, 0), etc..
When x = 0,
y = -4
When x = 1,
y = -2
When x = 2,
y = 0
Now,
The graph of the line is given below.
Thus,
The slope is 2.
The y-intercept is -4.
The solutions are (0, -4), (1, -2), (2, 0), etc..
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ6
Jamie wants to sell popcorn for her local fundraiser. Each bag of popcom costs $5 and her grandmother gave her a donation of $18. How many bags of
popcom would she have to sell to meet her goal of raising $100? Which equation matches the situation?
Answer:
17, 100 - 18 = 82 which would be for me 5 because then it is divisible by 5 so 85 divided by 5 = 17 to completely finish her goal she would need which is a $100.
f(2) if f(x) = 2x - 5
Answer:
The answer is 4.
Step-by-step explanation:
Answer:
f(2) = -1
Step-by-step explanation:
Plug in 2 for x in the equation: f(2) = 2(2) - 5
Remember order of operations/ PEMDAS
f(2) = 4-5
f(2) = -1
PLS FAST In a right triangle, angle A and angle B are acute, find the value of sinB given tanB=4/3.
Answer:
sinB= 4/5
Step-by-step explanation:
tan= opposite/ adjacent
3^2+4^2= hypotenuse^2 so hypotenuse=5
sin= opposite/ hypotenuse
Joy Wigens, who works at Putnam Investments, received a check for $2,670. She deposited 1/3 of the check in her Citibank account. How much money does Joy have left after the deposit?
Answer: $1,780
Step-by-step explanation:
Joy Wigens deposited 1/3 of the check of $2,670 that she received in her Citibank account.
The amount she deposited in her Citibank account was:
= 1/3 * 2,670
= $890
The amount she is left with after this deposit will therefore be:
= Check amount - deposit at Citibank
= 2,670 - 890
= $1,780
Can someone Help meeee!!
Answer:
428.464
Step-by-step explanation:
If you divide any number by 1, the answer will come out the same as the number you are trying to divide.
what is the sum of -7(-5+x)
Answer:
35-7x
Step-by-step explanation:
Multiply parenthesis by -7
What's the ? ,need help asap
Answer:
6
Step-by-step explanation:
just a guess
9+3+6+7 = 25
5+5+4+9 = 23
6+8+4+? = 24 ? = 6
✓17 is a number between what?
Answer:
4.1 and 4.2
Step-by-step explanation:
or 4 and 5
Ill give brainiest for the one who answers all the question
thx if you answer the question :)
Question:
Frank did a survey on the areas of the pictures in a magazine.
The magazine had 60 pages
Frank worked out the area of the pictures in the first 2 pages.
This may not be a good way to do the survey
Explain why
Answer:
Because it will take a lot of time to do
Find the location of the point given the rule.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ). then
G(3, 4 ) → G'(3, - 4 )
Q(4, - 1 ) → Q'(4, 1 )
L(1, 2 ) → L'(1, - 2 )
What is the surface area of a cube that has a side length of 2.2 meters?
Use the formula S A = 6 s squared, where SA is the surface area of the cube and s is the length of each side.
13.2 Meters squared
26.4 Meters squared
29.04 Meters squared
174.24 Meters squared
Answer:
13.2 meters squared
Step-by-step explanation:
Got it right Edge 2021
Answer:
29.04 Meters squared
On Edge 2021
Step-by-step explanation:
if the area of a right angle triangle with base 3cm is 66cm, find its height.
Answer:
its height.=44cm
area of right angled triangle=66cm²
1/2 b×h=66
3×h=66×2
h=66×2/3=22×2=44cm
Robin is multiplying 80 times 42. How many partial products will Robin have to add?
Step-by-step explanation:
42×80 =3360
I hope this answer help you.
Answer:
80 times 42.=80×42=3360
ur question is incomplete
Simplify the expression, show all of your work.
3 +[tex]5^{2}[/tex] - 9 ÷3×4
Answer:
16
Step-by-step explanation:
=3+25−9÷3(4)
=28−9÷3(4)
=28−(3)(4)
=28−12
=16
I hope this helps. Have a good day!!
help mee will mark as brainliest
Answer:
The length and breadth of the fence are 80 and 70 meters, respectively.
Step-by-step explanation:
Let suppose that fencing has a rectangular form. The length to breadth ratio is [tex]\frac{8}{7}[/tex]. Dimensionally speaking, the total cost for fencing the plot ([tex]C[/tex]), measured in monetary units, is the product of perimeter of the rectangle ([tex]p[/tex]), measured in meters, and unit cost ([tex]c[/tex]), measured in monetary units per meter, that is:
[tex]C = c\cdot p[/tex] (1)
[tex]C = 2\cdot c\cdot (w+l)[/tex] (2)
Where:
[tex]w[/tex] - Breadth of the fence, measured in meters.
[tex]l[/tex] - Length of the fence, measured in meters.
By applying the ratio described above, we reduce (2) into this form:
[tex]C = 2\cdot c\cdot \left(\frac{1}{r} +1\right)\cdot l[/tex] (3)
Where [tex]r[/tex] is the length to breadth ratio, no unit.
If we know that [tex]C = 60000[/tex], [tex]c = 200[/tex] and [tex]r = \frac{8}{7}[/tex], then the length and breadth of the rectangle are, respectively:
[tex]l = \frac{C}{2\cdot c\cdot \left(\frac{1}{r} +1\right)}[/tex]
[tex]l = \frac{60000}{2\cdot (200)\cdot \left(\frac{7}{8}+1 \right)}[/tex]
[tex]l = 80\,m[/tex]
[tex]w = \frac{l}{r}[/tex]
[tex]w = \frac{80\,m}{\frac{8}{7} }[/tex]
[tex]w = 70\,m[/tex]
The length and breadth of the fence are 80 and 70 meters, respectively.
what is 12+3.04+8.28 pls help
Answer:
23.32
Step-by-step explanation:
Please help me
Solve the equation.
24 – 3x = 2x – 1
A. x = 4
B. x = 5
C. x = 6
D. x = 25
Choose which statement is true about pi
The point on the graph shows which fraction?
HELPP
Answer:
1 3/5 or 8/5
Step-by-step explanation:
HELp pleaase ;Bbbbbbb
Answer:
the answer for this one is B
Answer:
The answer would be B.
Step-by-step explanation:
Just substitute x for 5.
For example, A is 2+x=3.
Just put 5 instead of x.
It would be 2+5=3.
But that isn't the answer because 2+5 is 7, not 3.
For B, sub the x for 5 just like we did for A.
It would usually be 3x=15
But sub the x with 5.
It would turn into 3x5=15
And that is right, because if you multiple 5 three times, it would be 15.
I hope this helps, I did my best. Have a great day!
Which problem solving strategy would be best to solve this problem?
You are decorating a rectangular table to surprise your friend with a party. The table is 4 feet by 10 feet. If you want to place a balloon in each corner and every 2 feet along the table, how many balloons will you need?
A. guess, check and revise
B. make a model or diagram
C. write an equation
D. make a table, chart or list
Answer:
b
Step-by-step explanation:
i took the test
Raj completes 3/10 of his painting in the morning and another 3/10 of his painting in the afternoon how much of his painting did raj complete in total
Answer:
6/10 or rounded to 3/5
Step-by-step explanation:
3/10 + 3/10 = 6/10
6/10 rounded is 3/5
Answer:
6/10
Step-by-step explanation:
Сравните:
8 дм 3см...3дм
61см...7дм 4м
8см 1м...6дм
5дм...45дм
Answer:
Give Me The Question In English And I'll Answer It. ._.
Step-by-step explanation:
HELP ASAP PLEASE :))))))
For what value of p is the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54?
A. -49
B. -7
C. 7
D. 49
Answer:
7
Step-by-step explanation:
because I am smart and cause im smart
convert the metric measurements into inches,correct to the nearest inch . 4,2 m
Answer:
165 inches
Step-by-step explanation:
multiply the length value by 39.37
A bag contains 11 milk and 7 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:
Milk chocolate : Not milk chocolate
Answer:
11/18 which is 6.11
Step-by-step explanation: