Answers
Answer:
Step-by-step explanation:
a).
perimeter=326 m
length l=89 m
width w=?
Perimeter of a rectangle=2(l+b)
2(89+w)=326
89+w=326/2=163
w=163-89=74 m
b).
area=4648 cm^2
width=56 cm
length=4648/56=83 cm
Related Questions
Please answer quickly
Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)=x+a/b
g(x)=cx-d
Part 2. Show your work to prove that the inverse of f(x) is g(x).
Part 3. Show your work to evaluate g(f(x)). Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.
Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.
Task 2
Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation
a√x+b+c=d
Part 2. Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation. Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous.
Part 3. Explain why the first equation has an extraneous solution and the second does not.
Answers
f(x)=(x+a)/b
or bf(x)=x+a
let f(x)=y
by=x+a
flip x and y
bx=y+a
or y=bx-a
or f^{-1}(x)=bx-a
also g(x) is inverse of f(x)
bx-a=cx-d
so b=c,a=d
again let g(x)=y
y=cx-d
flip x and y
x=cy-d
cy=x+d
y=(x+d)/c
or g^{-1}(x)=(x+d)/c
also f(x) is inverse of g(x)
so (x+a)/b=(x+d)/c
so a=d,b=c
so in either case a=d,b=c
take b=c=1
a=d=2
f(x)=(x+2)/1=x+2
g(x)=1x-2=x-2
so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0
g(x) with y-intercept -2 and slope 0
if we take b=c=2,a=d=3
f(x)=(x+3)/2=x/2+3/2
g(x)=2x-3
here f(x) is of slope 1/2 and y-intercept 3/2
g(x) is of slope 2 and y intercept -3
part 3.
f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d
An inverse function or an anti function exists described as a function, which can change into another function. In other words, if any function “f” carries x to y then, the inverse of “f” will carry y to x.
Part 1: f(x) = (x+2) / 3 and g(x) = 3y-2.
Part 2: g(x) = 3x - 2, the inverse.
Part 3: g(f(x)) = x showing that f(x) and g(x) are mutual inverses.
What is inverse function?
An inverse function in mathematics exists function which "reverses" the another function.
TASK 1
Part 1
Let y = f(x) = (x + a) / b
x = g(y) = by-a = cy-d,
so c = b and d = a.
Let d = a = 2 and c = b = 3
f(x) = (x+2) / 3 and g(x) = 3y-2.
Part 2
y = f(x) = (x+2) / 3
3y = x+2
x = 3y-2 = g(y)
so g(x) = 3x - 2, the inverse.
Part 3
g(f(x)) = 3
f(x)-2 = 3(x+2)/3-2 = x+2-2 = x,
so g(f(x)) = x showing that f(x) and g(x) exists mutual inverses.
x -2 -1 0 1 2
f(x) 0 1/3 2/3 1 4/3
g(x) -8 -5 -2 1 4
Part 4
The graph is given below.
TASK 2
Part 1
(a) Let a=1, b=2, c=3, d=6: [tex]$\sqrt{x}[/tex]+2+3=6 ; [tex]\sqrt{x}[/tex]-6=-5
(b) Let a=-1, b=2, c=3, d=4
(a) Multiply both sides by
[tex]$\sqrt{x}+6: x-36=-5(\sqrt{x}+6)=-5 \sqrt{x}-30[/tex]
[tex]$ x-36+30=-5 \sqrt{x }[/tex]
[tex]$ x-6=-5 \sqrt{x}$[/tex]
Square both sides:
[tex]$x^{2} -12 x+36=25 x ; x^{2} -37 x+36=0=(x-36)(x-1)$[/tex].
Part 2
(a) So x=36 or 1 (apparently).
Substitute x=36 in the original equation: 6+2+3=6, 11=6 is not true.
So x=36 is an extraneous solution.
substitute x=1: 1+2+3=6 is true, so x=1 exists the actual solution.
(b) [tex]$-\sqrt{x}+2+3=4 ;-\sqrt{x}=-1$[/tex]; multiply both sides by -1: [tex]$\sqrt{x}=1$[/tex]; square both sides: x=1.
Substitute x=1 in the original equation: -1+2+3=4 is true.
So x = 1 is the solution.
Part 3
(a) the act of squaring both sides resulted in creating an extraneous solution [tex]$\left((-5)^{2} =25=5^{2} \right)$[/tex].
(b) the solution was simpler and there was no ambiguity.
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y=-3x+2
A line goes through the point (-3,1) and is perpendicular to the line above,
answer the following:
a. what is the equation of the line that goes through these points in Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?
Answers
Answer:
a. y= 1/3 x + 2
b. x= -6
c. y=2
Step-by-step explanation:
a. y= mx+ cthe points are (-3,1)
the gradient is 1/3 as it is perpendicular
therefore substituting:1= 1/3 (-3) +c
1= -1 +c
c= 1+1
=2
So, y= 1 x + 2
3
b.
x-intercept is when y=0
so substituting 0 in the equation
here: 0=1/3x + 2
1/3 x = -2
x = -6
c.
y-intercept is when x=0
y=1/3 (0) +2
y=2
4) Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property. 18 + 42
Answers
Answer:
GCF = 6, Sum = 60.
Step-by-step explanation:
Substitute 6 into our distribution equation:
6(3) + 6(7) = (18 + 42) = 60
Check:
6(3)+6(7) = 60.
(This is an easier way to find the GCF, by substitution)
Checking Continued:
18: 1, 2, 3, 6, 9, 18
42: 1, 2, 3, 6, 7, 14, 21, 42
6 is the GCF.
100 students are interviewed to see which of biology, chemistry or physics they prefer.
41 of the students are girls. 32 of the girls like biology best.
24 of the boys prefer physics.
6 out of the 25 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answers
Answer:
48% of students prefer biology
Step-by-step explanation:
Graph the system of linear equations.
-1/2y = 4x + 5 and y = 2x +2.
Answers
Answer:
The graph is shown below.
Step-by-step explanation:
-1/2y = 4x + 5
This is the same as y = -2x - 2.5
The graph is shown below
What is the domain and range of the function below
Answers
help . This is rise and run .
Answers
Answer:
Rise 4 and runs -10
Step-by-step explanation:
So the slope is 4/-10
Similar triangle Scale factor 3:4 and x=16
Answers
Step-by-step explanation:
a factor is something you multiply with.
so,
16 × 3/4 = 12
so, the corresponding side to x in the similar triangle is 12 units long.
what do you call two guys that like math B)
Answers
Answer:
Step-by-step explanation:
Math nerds, algebros?
Heather and her friends are painting the
walls of a storage room in the basement.
Each wall is 9 m long and 2 m high. There
are two doors, each 1 m wide and 2 m
high. The doors are not being painted. A)One litre of paint covers 10 m². How
many litres will heater need?
B) the price of the paint is $3.75/L. How much will the paint cost?
Answers
Answer:
a) 6.8 L, b) $25.50Step-by-step explanation:
Find the area to be painted:
4*(9*2) - 2*(1*2) =72 - 4 =68 m²a) Paint needed:
68/10 = 6.8 Lb) Cost of paint:
6.8*$3.75 = $25.506 (x + 2)^12 - 8 = 64
Answers
1. write a mathematical expression that explains the following sentence:
The sum of 4 and d, then multiply the result by 2
Answers
Answer:
(4 + d) × 2
Step-by-step explanation:
Use pemdas to evaluate the equation
b) Now, let’s try “what if”. What if you had medical bills for $10,000 for a minor surgery? What would each of the insurance policies pay if you had not yet paid any deductible? Remember that 20% is your part (coinsurance) so the insurer’s percent is 80% for the first formula. Show how you are getting the answer.
Formulas:
Insurer’s part of Medical Bill = (Bill – deductible) (80%)
Your part of medical bill = Total bill – Insurers part
• AAA+
Insurer’s Part of bill =
Your part of bill =
• Health Today
Insurer’s Part of bill =
Your part of bill =
• Best Insurance
Insurer’s Part of bill =
Your part of bill =
Answers
The insurer's part of the medical bill is 80 percent of the medical bill after deductible
The insurer would cover 80 percent of the insured's claims on the medical bill based on coinsurance agreement. However, the insured would have to pay deductible prior to coinsurance(80,20 share of bill)
Example: if insured's annual deductible is $2000 and coinsurance is 80:20, a medical bill of $10000, assuming the insured has not paid any deductibles, would amount to 80% of $8000(after subtracting deductibles) for the insurer"s cover and the rest for the insured.
Insurance deductibles are paid before your health plan covers its part of the medical bill, usually 80 percent.
Depending on your agreement with the insurer there could also be a copay on the insurance policy.
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A production line produces 34 of a mile of yarn every 14 of an hour. What is the unit rate of miles of yarn per hour?
Answers
And is the 14 meant to be one quarter or one 14th?
I’ve solved it as three quarters and one quarter but if this is not what you meant then you may have to adjust the anwser
The required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.
Given that,
A production line produces 34 a mile of yarn every 14 an hour. The unit rate of miles of yarn per hour is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Unit rate = line produced / time
Unit rate = 34 / 14 = 2.43 miles of yarn per hour.
Thus, the required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.
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EXAMINE THE PARAGRAPH PROOF. WHCIH THEOREM DOES IT OFFER PROOF FOR?
Answers
Answer:
The answer is C.
Step-by-step explanation:
The theory of vertical angles, often known as the theorem of vertically opposite angles. According to the theorem, two opposed vertical angles created when two lines cross one other are always equal (congruent) to each other no matter what the circumstances are.
Please help me on this
Answers
Answer:
1st dot: 195,3
2nd dot : 390,6
PLEASE HURRY THIS IS TIMED !!!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which one of the quotients is correct?
Answers
Answer:
B
Step-by-step explanation:
B is correct 24r11 one ................
If 'r' represents remainder then the correct answer is option A. The quotient is 24 & the remainder is 13.
Steps are in the attachment.
____
RainbowSalt2222 ☔
GUESSS WHO'S REPEATING HER REQUEST, LET'S GOOOO HEYOOOOOO, HELLOOOO, PLEASE LOOK HERE, HELP NEEDED, LIKE NOW LOLOLOL Factor this expression completely, then place the factors in the proper location on the grid.
1/8 x^3 - 1/27 y^3
Answers
Answer:
(3x-2y)(9x²+6xy+4y²)/216
Step-by-step explanation:
1. You have two pieces of tape of 56 metres and 56 metres in length. If you connect both pieces together end-to-end, how long is your new piece of tape?
Answers
Answer:
Step-by-step explanation:
If the two pieces of tape are truly placed end-to-end, there will be no tape at the joint to connect the two pieces. In the real world, one of the 56 m pieces will have to overlap one end of the other piece to make up a single new piece of tape whose length must be a little less than 2(56 m), or a lilttle less than 112 m. There is no one specific correct answer because the experimenters vary in how much tape overlap to allow.
The new tape would measure 112m after the two fragments are joined.
What is addition?Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.
Given:
A piece of tape 56 m long and we are to add another 56 m
Thus the sum of these two tapes is equal to 56+56=112 m
Hence, the new tape is 112m long.
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Alex paid $9 to park her car for 2 hours. Write an equation that shows the relationship between p, the numbers of hours parked, and c, the cost in dollars.
Answers
Answer:
Step-by-step explanation:
Parking charge for 2 hours = $ 9
Parking charge for 1 hour = 9/2 = $ 4.50
c = 4.50*p
c = 4.5p
A chef uses 7
7
cups of tomatoes per batch to make pasta sauce.
Choose the equation that models the situation, where
t
represents the number of cups of tomatoes and
n
represents the number of batches of sauce.
Answers
Answer:
t=7n
because for 1 batch is 7 cups so let's say you made 3 batchs 3*7= 21 cups.
The correct equation that models the situation is t = 7n. Hence option 4 is true.
Given that;
A chef uses 7 cups of tomatoes per batch to make pasta sauce.
Let us assume that;
t represents the number of cups of tomatoes.
And, n represents the number of batches of sauce.
Hence the equation that models the situation is,
t = 7n
Therefore, option 4 is true.
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Using a riding lawn mower, Shane, the landscaper of a large park, can mow the lawn in 8 hours. With a small mower, her assistant Matt needs 14 hours to mow the same lawn. If Shane and Matt work together mowing the lawn, how long will it take them to mow the lawn?
Answers
Answer:
1 hour and 45 minutes
Step-by-step explanation:
I know this because you just need to divide the amount of hours that shane did it and the amount of time matt did it and then it will give you your answer
Find the area of the polygon below. ( and please show work)
Answers
Answer:
89.6875
Step-by-step explanation:
you need to find out area of rectangle (length x width) and add area of the triangle (length x width divided by 2)
akiko sells 5 small paintings and 5 large paintings .Each large painting cost $20 more than a small painting .she earns $300. what is the price of a small painting
Answers
Answer:
$20
Step-by-step explanation:
small painting: x
large painting: x + 20
5(x + x + 20) = 300
5(2x + 20) = 300
10x + 100 = 300
10x = 200
x = 20
Answer: $20
A triangle has two sides of length 7 and 9. What is the largest possible whole-number length for the third side?
Answers
Answer:
15
Step-by-step explanation:
the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.
7 + 9 = 16
16 must be more than the third side
15 is the largest whole number less than 16
WORTH 50 POINTS.
What is the domain of the function shown on the graph below?
Answers
please answer the all questions
Answers
Answer:
e)
a = 58°
alternate angles
b = a = 58°
Triangle is scalene (indicated by the 2 dashes on the triangle)
d = 180 - (58*2)
d = 64°
c = 58°
use either 180- (64+58)
which is angles in a straight line = 180 total
or
alternate angles
b = c = 58
f) x = 50°
alternate angles
y+z = 180-50
y+z = 130
we know that y = z
scalene triangle indicated by arrows (both bases are same angle)
so 130/2 = y and z
65 = y
65 = z
g) x = 55
alternate angles
on the diagram take the triangle which has x and y
you can see 95° outside the triangle, it’s on a straight line and will help us find the third angle for that triangle
180-95 = 85
180 - (85+55) = y
y = 40
z = y = 40
alternate angles
h)
180-78 = 102
beside angle a would be the angle 2a
alternate angles (look at the photo)
180 = 102 + a + 2a
180 = 3a + 102
78 = 3a
a = 26°
2a = 52
b = 26
use either alternate angles
a = b
or total angles in a triangle = 180°
102 + b + 56 = 180
b = 180-52-102
Help me on this, please?
Answers
Answer:
angle 6 is 117
angle 7 is 63
Step-by-step explanation:
what is 1/5 x 2/4 as a fraction
Answers
Answer:
2/20
Step-by-step explanation:
Answer: 7/10
Step-by-step explanation: