Answers
We are given the following equation :
[tex]{:\implies \quad \sf P=2L+2w}[/tex]
And we need to solve for w, so let's start :
[tex]{:\implies \quad \sf P=2L+2w}[/tex]
Now, transpose 2L to LHS ;
[tex]{:\implies \quad \sf P-2L=2w}[/tex]
[tex]{:\implies \quad \sf 2w=P-2L}[/tex]
[tex]{:\implies \quad \boxed{\bf{w=\dfrac{(P-2L)}{2}}}}[/tex]
Hence, Option a) is correct
Related Questions
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
Answers
Answer:
Length: 17 in, Width: 12 in
Step-by-step explanation:
Let l=length and w=width
l=w+5
2(w+5)+2w=58
4w=48
w=12, l=17
Answer:
Length = 17 inchesWidth = 12 inches⠀
Step-by-step explanation:
⠀
As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,
⠀
Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .
⠀
Now, According to the Question :
⠀
[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 48}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar[/tex]
⠀
Therefore,
The width of the rectangle is 12 inches .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}[/tex]
⠀
Therefore,
The length of the rectangle is 17 inches .⠀
Name three synonyms for "Solution": _____________,___________,______________
Answers
Answer:
1 quick fix 2 solving 3 result
Step-by-step explanation:
hope it helps
B.A ECO
(b) Prices of three commodities A, B and Crised by 4096, 60% and 90% respectively.
Commodity A is six times more important than Qy and B is three times more important than
C. what is the mean fise of these three commodities?
Answers
A parabola can be drawn given a focus of (1, -7) and a directrix of y = 1. Write the
equation of the parabola in any form.
Answers
Answer:
Step-by-step explanation:
focus (1 , -7) ⇒ a = 1 & b = -7
y = 1 ⇒ c = 1
Equation of parabola :
(x - a)² + (y - b)² = (y - c)²
(X - 1)² + (y + 7)² = (y - 1)²
Now, expand.
x² - 2x + 1 + y² + 2*7*y + 7² = y² - 2*y*1 + 1
x² - 2x + 1 + y² - 14y + 49 = y² - 2y +1
x² - 2x + 1 + y² - 14y + 49 - y² + 2y - 1 = 0
x² - 2x + y² - y² - 14y + 2y + 1 + 49 - 1 = 0
x² - 2x - 12y + 49 = 0
Help pls
Question 1 Part A (3 points): What is the greatest common factor (GCF) of the polynomial:
18x3 + 6x2y - 9x2 - 3xy
Answers
Answer:
I think the answer is 3x
Step-by-step explanation:
If i am wrong please correct me
The correct answer is 3x
What is greatest common factor?The greatest common factor is the largest factor among all the numbers in the equation.
So, the equation is [tex]18x^{3}+6x^{2} y-9x^{2} -3xy[/tex]
We need to find the GCF from the given equation
[tex]3x(6x^{2} +2xy-3x-y)[/tex]
Hence, here we are getting the common factor as 3x
which the largest common factor in the given equation.
Learn more about Greatest common factor below.
https://brainly.com/question/219464
#SPJ2
Convert the following to sq. cm or to sq. m, as required.
920 000 sq. cm= ______ sq. m
Answers
Answer:
The answer is 92
Step-by-step explanation:
1 m = 10,000cm
920,000/10,000=92
cos(theta) / sin(theta)cot(theta) = 1
Answers
Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?
Answers
Answer:
27
Step-by-step explanation:
Let g be Gabrielle's age and m be Mikhail's age.
We can turn the statements the problem gives us into mathematical expressions to help us solve.
Gabrielle's age is two times Mikhail's age:
g = 2m
The sum of their ages is 81:
g + m = 81
This gives us a system of equations that will allow us to solve for Gabrielle's age.
g + m = 81
(2m) + m = 81
3m = 81
m = [tex]\frac{81}{3}[/tex]
m = 27
If we need to solve for Gabrielle's age, we can do the following.
g = 2m
2(27) = g
54 = g
g = 54
Mikhail's age is 27.
Gabrielle's age is 54.
Answer:
Mikhail is 27
Step-by-step explanation:
Use 'm' to represent Mikhail's ageUse g = 2m to represent Gabrielle's age (because Gabrielle's age is twice that of Mikhail's.You know that both of their ages combined must equal 81. This can be represented by g + m = 81Lastly, since we stated g=2m, substitute it into the equation to make: 2m + m = 81Combine like variables and divide to get Mikhail's age.**If you want to find Gabrielle's age, multiply Mikhail's age by two, as represented by the equation g=2m. Gabrielle is 57.
Hope this helps!
Please help pls pls pls pls it’s due soon
Answers
Answer:
the answer is 67.5
Step-by-step explanation:
look at the photo
The area of the polygon shown in the figure is _______.
Answers
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
Answers
Answer: 44 units
Step-by-step explanation:
Opposite sides of a parallelogram are equal, hence sides
AB = DC
4y-2 = 2y+6
2y=8
y=4
and
BC = AD
2x+2=3x-1
x=3
AB = 4Y-2
y=4
AB=14
BC=2x+2
x=3
BC=8
Perimeter = 2 X (AB + BC)
= 2 X (14+8)
= 44
Answer:
44 units
Step-by-step explanation:
An arrow is shot vertically upward at a rate of 160 feet per second from ground level. Use the projectile formula
h
=
−
16
t
2
+
v
0
t
+
h
0
h
=
-
16
t
2
+
v
0
t
+
h
0
to determine when the height of the arrow will be 114 feet.
Answers
Answer:
0.772 seconds; 9.228 seconds
Step-by-step explanation:
The given projectile formula with the given numbers filled in is ...
[tex]\displaystyle h=-16t^2+v_0t+h_0\\\\114=-16t^2+160t[/tex]
We can "complete the square" to solve this for t, the times at which the height is 114 feet.
16(t² -10t) = -16(7.125) . . . . . rearrange, showing factor of 16
t² -10t +25 = -7.125 +25 . . . . divide by 16, add 25 to complete the square
t = 5 ±√17.875 ≈ 5 ± 4.228 . . . . take the square root, add 5
t ∈ {0.772, 9.228}
The arrow is 114 feet high after 0.772 seconds and again after 9.228 seconds.
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D: 699
E: 582.5
F: 116.5
2. 1398
3. 13048
Step-by-step explanation:
Hope this helps!
3) After measuring the heights of 7 people, they have an average height of 156cm. After
measuring the heights of 8 people they have an average height of 158cm. How tall is
the 8th person?
Answer greatly appreciated asap
Answers
Answer:
172 cm
Step-by-step explanation:
The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.
a land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length find the length and the width
PLEASE HELP ASAP!!! IM STUCK ON THIS
Answers
Answer:
Length: 360. Width: 240.
Step-by-step explanation:
360 * 2 = 720
240 * 2 = 480
720 + 480 = 1,200
-8x+4y=-8
5x-2y=1
Pls answer this fast
Answers
Answer:
x=-3
y=-8
I answered your question in the photo sent.
Write in 0.85 as a common fractionin its simplest form
Answers
[tex]\mathsf\pink{♧ANSWER♧}[/tex]
[tex] \mathsf \purple{0.85 = \frac{85}{100} = \frac{17}{20} }[/tex]
85/100 = 17/20
first we write the fraction from of 0.85 which is 85/100
then for simplifying it, we divide both 85 and 100 by 5
then we get to 17/20 which is our final answer
Solve for x in the diagram below?
Answers
The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.
Sum of angle in a triangleThe sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,
80 + 40 + 13x - 5 = 180
120 - 5 + 13x = 180
115 + 13x = 180
subtract 115 from both sides of the equation
115 - 115 + 13x = 180 - 115
13x = 65
divide both sides by 13
13x / 13 = 65 / 13
x = 5
learn more on triangle here: https://brainly.com/question/15268683
What simple interest rate would you pay if you borrowed $5000 and paid back $6000 as promised after 5 years?
Enter the rate as a %.
(Use integers or decimals for any numbers in the expression.)
Answers
Answer:
4%
Step-by-step explanation:
6000 x 100 / 5000 = 120
after 5 years the total interest is 20%
each year interest = 4%
( 4 x 5 =20 )
Which is the logarithmic form of 83 = 512?
log8 512 = 3
log512 9 = 2
log3 512 = 8
log3 8 = 512
Answers
Answer:
no solution,because the Is no 83=512 there
Which of the following is NOT an integer? A. 8/2 B. 1/4 C. 0 D. -5
Answers
Answer:
B. 1/4
Step-by-step explanation:
Even though A is a fraction it is also an integer (4)
HELP ME ON TANGENTS, ARCS AND CHORDS! 1
Answers
Help
ASAP...........
Answers
Step-by-step explanation:
[tex](9x + 24) + 30x = 180[/tex]
[tex]39x + 24 = 180[/tex]
[tex]39x = 156[/tex]
[tex]x = 4[/tex]
Hence，we know
<DEC
[tex] = 9x + 24 = 9 \times 4 + 24 = 60[/tex]
<AEB=<DEC=60
Easy math 2 pictures
Answers
Answer:
Problem #6: 31.8
Step-by-step explanation: all you have to do is plug in 31 and 7 into the phythangorean therom equation so 31 squared + 7 squared and you will end up getting 1010 but then you have to find the square root of 1010 which equals 31.78049... so then you round your answer
which fraction is the biggest?
[tex] \frac{2}{3} [/tex]
[tex] \frac{4}{5} [/tex]
[tex] \frac{7}{8} [/tex]
Answers
find x and y. use proper postulates or theorems to justify your answer
Answers
Answer:
x = 110 & y = 28
Step-by-step explanation:
The top and bottom lines are both intersected by a transversal. Because of this, we can say the 100-degree angle is equivalent to the (x-10) angle due to the Corresponding Angles Theorem.
If 100 = x -10 then you add 10 to both sides to get x = 110 degrees.
Then, using the Same Side Exterior Angles Postulate, you can conclude that the 100-angle and the (2y + 24) angle are supplementary, meaning they add up to 180 degrees.
So, 100 + (2y + 24) = 180.
Subtract 100 from both sides to get 2y + 24 = 80
Then subtract 24 from both sides to get 2y = 56
And divide both sides by 2 to get y = 28 degrees.
Solve 6x - 3y = 12 for y.
Answers
Answer:
6x-3y=12
+3y
6x=3y+12
divide by 3
2x=y+4
-4
y=2x-4
Hope This Helps!!!
Please find 2/3 minus 3/5
Answers
Please help i need it done before tomorrow. thank you.
What is the area of the trapezoid?
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
A = [tex]\frac{b_{1} +b_{2} }{2}[/tex] × h
~~~~~~~~
[tex]b_{1}[/tex] = 15 in.
[tex]b_{2}[/tex] = 6 + 15 + 6 = 21 in.
h = 18 in.
A = [tex]\frac{15+21}{2}[/tex] × 18 = 324 in.²
a=long base
b=short base
h=altitude
a=27
b=15
h=18
a=(27+15)/2 x 18
a=42/2 x 18
a= 21 x 18
a=378
Kushbu decides to order a combination platter at her favorite restaurant. The platter comes with a choice of 2 entrees and 3 sides.
If there are 8 entrees and 6 sides available, how many different meal combinations could she order?
Enter your answer as an integer, like this: 42
Answers
Answer:
560
Step-by-step explanation:
To find the total combination you have to multiply the combination of entrees with combination of sides. U have to use the nCr equation to find these separate equations. n is number of items in total of the set and r is the number of items you want to choose from the set.
See the pic below for work