7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?
a. l = 9.00 cm, w = 4.67 cm c. l = 1.00 cm, w = 42.00 cm
b. l = 5.00 cm, w = 8.40 cm d. l = 6.48 cm, w = 6.48 cm
8. The minimum perimeter occurs when the rectangle is a _____.
a. quadrilateral c. parallelogram
b. triangle d. square
Answers
9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
__
7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
__
8. In light of the above, the shape is a square.
_____
The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
Related Questions
What is 3/10 of 2560
Answers
Answer:
768
3/10 times 2560 simply equals 768 after the calculations are done
There were 36 people in a school play. There were three times as many students in the play as teachers. How many students were in the play? How many teachers?
Answers
Answer:108
Step-by-step explanation:
36 times 3, right??
DETERMINE WHICH OF THE LINES ARE PARALLEL OR PERPENDICULAR thx sm
Answers
Answer:
Parallel: a and b
Perpendicular: none
Step-by-step explanation:
You are given the coordinates of each line.
To check if they are parallel or perpendicular, need to find slope.
In this case we can use :
m = (y2 - y1) / (x2 - x1)
So for line a:
(1,5) and (-2, -4)
slope = (-4 - 5) / (-2 - 1)
slope = -9/-3
slope = 3
Line b:
(3, 2) and (1, -4)
slope = (-4 - 2)/(1 - 3)
slope = -6/-2
slope = 3
Line C:
(6, 1) and (-4, 2)
slope = ( 2 - 1) / ( -4 -6)
Slope = 1/ -10
slope = - 1/10
Line A and B are parallel because their slopes are the same.
To check if they are perpendicular, we need to know if their slopes are reciprocals.
Here none of them are perpendicular to each other
A rental car company charges $51 per day to rent a car and $0.14 for every mile driven. Damian wants to rent a car, knowing that: He plans to drive 250 miles. He has at most $290 to spend. Use the drop-down menu below to write an inequality representing dd, the total number of days Damian can rent the car while staying within his budget.
Answers
Answer: Damian can rent the car for 5 days.
Step-by-step explanation:
Money for 250 miles driven - 0.14*250= 35
Day 1 - 35+51= 86
Day 2 - 86+51= 137
Day 3 - 137+51= 188
Day 4 - 188+51= 239
Day 5 - 239+51= $290
calculate the state income tax owed on a $50,000 per year salary (answer is not 2500)
Answers
The total tax paid is $2,300 on the yearly salary of $50,000
What tax rate applies to the first $10,000 of salary?
The first $10,000 of the salary would be charged to tax at 3% whereas the next threshold beyond $10,000 up until $50,000, in other words, the difference between the first $10,000 and $50,000, which is $40,000 is taxed at 5%.
The tax on the first $10,000 is computed as shown below:
tax on the first $10,000=$10000*3%
tax on the first $10,000=$300
The tax on the remaining $40,000 is 5% of the amount
The tax on the remaining $40,000=5%*$40,000
The tax on the remaining $40,000=$2,000
In other words, the total tax paid on the $50,000 annual salary is the sum of $300 and the $2000
total tax paid=$300+$2,000
total tax paid=$2,300
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Help ~ with this question~
[tex]4 + 4 \div 5[/tex]
Answers
Answer:
4.8Step-by-step explanation:
[tex]\sf 4+4\div 5[/tex]
[tex]\sf 4\div 5 =0.8[/tex]
[tex]\sf 4+0.8[/tex]
[tex]\sf 4.8[/tex]
* Hope it helps, ty 4 pts!
* Have a good day!
If triangle ABC is equal to triangle DFE, find the value of x, y, and z.
Answers
Answer:
x=10
z=2
y=5
Step-by-step explanation:
since they are equal, set the sides up as equal to one another and use pemdas to solve.
EX; x+15=2x+5
-x -x
15=x+5
-5 -5
10=x
What common side does ΔABC share with ΔADC?
BC
AD
BD
AC
Answers
Answer:
it's a and c
luk closely
Find x .
Please help I’m begging
Answers
Answer:
x = 103
Step-by-step explanation:
Using the far right intersection, we can figure out that in inner angle is 32 degrees.
32 + 34 = 66 which is the angle of the left side of the middle cross.
x = 37 + 66 = 103
Help please!!
A small party balloon has a maximum volume of 500 cm3. Unfortunately, it has a leak that allows 10 cm of air to escape every second. a Write down an equation for the volume (v cm) of the party balloon, t secs after it starts to leak.
Answers
Step-by-step explanation:
I think you mean that 10 cm³ of air are escaping every second.
and we start with a volume of 500 cm³.
V = 500 - 10t 0 <= t <= 50
because negative t (seconds) don't make any sense, and neither does a negative volume (for t > 50).
What is the solution set for this inequality?
negative x plus 40 is greater than negative 16,
Answers
Answer:
x < 56
Step-by-step explanation:
- x + 40 > -16
-x + 40 - 40 > -16 -40
-x > -56
-x / -1 > -56 / -1
x < 56
if a necklace was on discount 10% and the original price was $20 what was the amount of discount?
Answers
Answer:
10$
Step-by-step explanation:
dollars hope it helps
Answer:
its 10$
Step-by-step explanation:
***WILL GIVE BRAINLIEST***
A triangular garden is to be split so that the angle at vertex B is bisected. This diagram was supplied by the landscape architect, but you do not have a way to measure the angles at B. You do have the given side lengths, so what is the length of side AD that will allow the angle at B to be bisected?
A.
5 m
B.
4 m
C.
2 m
D.
3 m
Answers
The length of side AD that will allow the angle at B to be bisected is 3m, the correct option is D.
What is Angle Bisector Theorem?According to the angle bisector theorem, the angle bisector of an angle of a triangle bisects the opposite side into two parts that are proportional to the other two sides.
The sides of the triangle are 5,7 and (x+4) m.
The BD will be the angle bisector of angle B only if
x/4 = 5/7
x = 5 *4 / 7
x = 20/7 = 2.85 ≈ 3m
To know more about Angle Bisector Theorem
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What point located in quadrant IV has an x-value that is 3 units from the origin and a y-value that is 4 units from the origin?
Answers
find the side of square whose perimeter. is 24.8cm.
Answers
Answer:
6.2
Step-by-step explanation:
Please help asap!
the temperture fell from 10 degrees to -14 degrees while Ben was at work. if Ben worked 6 hours, what was the average hourly change in temperature?
Answers
Answer:
I think -24 for the hourly change
Step-by-step explanation:
10-24= -14
Answer: -4
Step-by-step explanation:
Subtract 10 by -14 to get -24 then divide by 6 because ben was at work for 6 hours to get -4
Please I really need help
15 POINTS..15 POINTS
ONLY ONE QUESTION
ANSWER IT WITH EXPLANATION
PLEASE I NEED IT NOW
Answers
NEW ANSWER
Lupita is correct because when there is a constant of proportiantilly the line will start at the origin and it will be straight all the way. No curves, bends, etc. Another way you can tell is because when the line gets to "2" it lines up with 300 when the line gets to "4" it lines up with 600. That shows that the line is equal all the way through.
thanks for brainly (:
glad I could help!
3+1-4+7=?
I need help with this
Answers
Answer:
Step-by-step explanation:
first step: 3 + 1 = 4
second step: 4 - 4 = 0
third step: 0 + 7 = 7 (the answer is 7 )
(test question) If you're good at geometry please help me
Answers
Step-by-step explanation:
this is a rectangle. so, all things are symmetric.
EI = IG = FI = IH
IGF = IFG = IEH = IHE
therefore, since EI = FI
2x + 8 = 6x - 20
28 = 4x
x = 7
now,
EG = EI + IG = 2×EI = 2×(2×7 + 8) = 2×22 = 44
IFE is a complementary angle to IFG (together they have 90°).
and because IFG = IGF = 30°
IFE = 90 - 30 = 60°
1. Kristina took out a bank loan for $60,000 that must be repaid with regular monthly payments of $1100. The bank charges her an interest rate of 3.0% compounded monthly a) How many payments will Kristina have to make to pay off the loan. N=? I= ?PV = ?PMT= ? FV=? P/Y = ?C/Y =? END BEGIN b) How much interest will Kristina Pay?
Answers
Answer:
See belowStep-by-step explanation:
Given:
Loan amount PV = $60000Interest rate r = 3% PATime t = x yearsNumber of compounds n = 12Monthly payment PMT = $1100FV is:
60000*(1 + (3/100)/12)^(12x) = 60000*(1.0025)^(12x)Which is same as total payment:
1100*12*xSolve the following by graphing:
60000*(1.0025)^(12x) = 1100*12*xSee attached
The solution is:
x = 5.333 = 5 1/3 years = 5 years 4 months = 64 monthsTotal payment:
FV = $70 395.95The amount of interest:
I = FV - PV = 70395.95 - 60000 = $10395.95Your math grade is a 68%.You turn in some late work, and now your grade is an 82%.What is the percent change?
Answers
Answer:
your grade increased by 14%
How do you work x+1-2=4 and x-1=2
Answers
Answer:
Simplify x+1-2x+1−2 to x-1x−1.
x-1=4
x−1=4
2 Add 11 to both sides.
x=4+1
x=4+1
3 Simplify 4+14+1 to 55.
x=5
x=5
Add 11 to both sides.
x=2+1
x=2+1
2 Simplify 2+12+1 to 33.
x=3
x=3
Luis has 3 pounds of ground turkey to make turkey burgers. He uses 3/8 pound per burger to make 6 burgers. How many 1/4 pound burgers can Luis make with the remaining turkey?
Answers
Answer: he can make 3 1/4 pound burgers.
Step-by-step explanation: we know that he starts with 3 lbs of burger meat, and uses some of the meat to make 6 burgers that each weigh 3/8 lbs. If you take the 3/8 lbs and multiply by 6 burgers, you get 18/8, which is how much has been used so far. If you subtract 18/8 from the 3 lbs that Luis has originally started with, you get 6/8 lbs, which is how much he has after his first 6 burgers. Then you can take the 1/4 and see how many times it fits into 6/8 (1/4=2/8, 6/8 divided by 2/8 = 3 burgers that each weigh 1/4 lbs)
Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y.
Answers
Answer:
You want to maximize x and minimize y
Maximum y = 8
Minimum y = 10
8-10= -2
Supply the missing reasons to complete the proof.
Answers
Answer:
3. ASA
4. Corresponding sides of congruent triangles are congruent
Step-by-step explanation:
I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.
If the triangles are congruent, then all corresponding angles and sides are also congruent.
5. Name the side included by
AB
AC
BC
none of these.
Answers
Answer:
AB
Step-by-step explanation:
Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Two parallel lines are crossed by a transversal. Vertical and parallel lines h and i are cut by transversal g. At the intersection of lines h and g, the uppercase right angle is 70 degrees and the bottom left angle is x degrees.
Answers
Answer:
x = 70
Step-by-step explanation:
i really need help with these two questions pleeeaassseeee
Answers
Answer:
10 is B
11 is D
Step-by-step explanation:
The wallaby is essentially a small kangaroo that is native to Australia. To monitor the wallaby population, scientists catch 88 and tag them. A month later, they capture 600 wallabies and notice that 44 have tags. To the nearest viole number, what is the best estimate for the TOTAL wallaby population using ratios?
Answers
The best estimate for the total wallaby population is 1200.
Since to monitor the wallaby population, scientists catched 88 and tag them, already a month later, they captured 600 wallabies and noticed that 44 had tags, to determine what is the best estimate for the total wallaby population using ratios, the following calculation must be done:
44 = 600 88 = X 88 x 600/44 = X 1200 = X
Therefore, the best estimate for the total wallaby population is 1200.
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Do Now 13.2:
Green light has a frequency of 5.71 x 10' Hz.
Calculate the energy of a green light photon.
(SHOW ALL WORK for FULL CREDIT!)
Answers
Answer:
Not Step-by-step explanation:
Not enough info
