the area of a rectangle with a whole number dimensions is 42 square meters.
The least possible perimeter of the rectangle is ___ meters
The greatest possible perimeter of the rectangle is ___ meters
Answer:
The least value of perimeter is:
[tex]Perimeter = 26m[/tex]
The greatest value is:
[tex]Perimeter = 86m[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Area = 42m^2[/tex]
Required
Determine the least and greatest possible Perimeters
Area is calculated as:
[tex]Length * Width = Area[/tex]
So; first, we need to determine the factors of the given Area;
[tex]Length * Width = Area[/tex]
[tex]1 * 42 = 42[/tex]
[tex]2 * 21 = 42[/tex]
[tex]3 * 14 = 42[/tex]
[tex]6 * 7 = 42[/tex]
Perimeter is then calculated as:
[tex]Perimeter = 2 * (Length + Width)[/tex]
When Area is:
[tex]1 * 42 = 42[/tex]
[tex]Perimeter = 2 * (1 + 42)[/tex]
[tex]Perimeter = 2 * 43[/tex]
[tex]Perimeter = 86m[/tex]
When Area is:
[tex]2 * 21 = 42[/tex]
[tex]Perimeter = 2 * (2 + 21)[/tex]
[tex]Perimeter = 2 * 23[/tex]
[tex]Perimeter = 46m[/tex]
When Area is:
[tex]3 * 14 = 42[/tex]
[tex]Perimeter = 2 * (3 + 14)[/tex]
[tex]Perimeter = 2 * 17[/tex]
[tex]Perimeter = 34[/tex]
When Area is:
[tex]6 * 7 = 42[/tex]
[tex]Perimeter = 2 * (6 + 7)[/tex]
[tex]Perimeter = 2 * 13[/tex]
[tex]Perimeter = 26m[/tex]
Comparing the above.
The least value of perimeter is:
[tex]Perimeter = 26m[/tex]
The greatest value is:
[tex]Perimeter = 86m[/tex]
I need help fast
2/3 ÷ 4/5
(◍•ᴗ•◍)
Answer:
5/6 because my friend owns a calculator that does fraction.
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{5}{4}[/tex] 2/3 × 5/4 = 10/12Simplify: 10/12 = 5/6I hope this helps!
What is the volume of this figure
Answer:
875 cubic feet
Step-by-step explanation:
10x5x5=250
10x5x5=250
5x15x5=375
250+250+375=875
Hope this helps!
If p = .3 within a binomial process, what is the probability of obtaining exactly five successes in 20 trials?
a. 5%
b. 17.9%
c. 30%
d. 80.1%
Find the Measure of the missing angles.
3
2
49°
118°
1
73°
Measure angle 1 =
o
Measure angle 2=
o
Measure angle 3=
Answer:
m∠1 = 62°
m∠2 = 45°
m∠3 = 24°
Step-by-step explanation:
The measure of the exterior angle of a triangle is equal to the sum of the remote interior angles.
The measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.
From the given figure, measure of angles are 118°, 73° and 49°.
What is exterior angle theorem?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
From the given figure, 118° + ∠1 = 180°
⇒ ∠1 = 180° - 118°
⇒ ∠1 = 62°
Now, 118° = 73° + ∠2
⇒ ∠2 = 118° - 73°
⇒ ∠2 = 45°
Using angle sum property of a triangle
62° + 49° + (∠2+∠3) = 180°
⇒ 111° + (∠2+∠3) = 180°
⇒ (∠2+∠3) = 180°- 111°
⇒ (∠2+∠3) = 69°
⇒ 45° +∠3 = 69°
⇒ ∠3 = 24°
Therefore, the measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.
To learn more about the exterior angle theorem visit:
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PLEASE HELP ME OUT!!!
Luna's retirement party will cost $630 if she invites 21 guests. What is the maximum number of guests there can be if Luna can afford to spend a total of $780 on her retirement party? Assume the relationship is directly proportional.
Answer:
The maximum number of guests for $780 would be 26.
Step-by-step explanation:
Write and solve an equation of ratios. In the first column write $630/$780; in the right column write 21/x:
630 21
---------- = -------
780 x
Cross-multiplying, we get 630x = 21(780), which yields x = 26.
The maximum number of guests for $780 would be 26.
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Answer:
;)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Step-by-step explanation:
yes yes do the ;))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 students using Method 1 produces a testing average of 61. A sample of 156 students using Method 2 produces a testing average of 64.6. Assume the standard deviation is known to be 18.53 for Method 1 and 13.43 for Method 2. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval.
Answer:
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
Step-by-step explanation:
The (1 - α)% confidence interval for the difference between population means is:
[tex]CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}[/tex]
The information provided is as follows:
[tex]n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43[/tex]
The critical value of z for 98% confidence level is,
[tex]z_{\alpha/2}=z_{0.02/2}=2.326[/tex]
Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:
[tex]CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}[/tex]
[tex]=(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)[/tex]
Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).
!!!URGENT!!!
In order to ride a roller coaster, a person must be at a minimum height of 54 inches. The maximum height is 74 inches. Write an absolute value equation that represents the minimum and maximum heights.
The photo attached shows the possible answers.
Answer:
C
Step-by-step explanation:
Two equations and workout the answer
If you bought a hamburger for $2.30 and paid for it with a 5 dollar bill, how much change would you receive?
If m angle P = 85', which is a possible measure for Y?
OMZY = 80°
OmZY = 85°
OmZY = 100°
OmZY = 180°
Answer:c
Step-by-step explanation:
100° is a possible measure for m∠Y.
Hence, Option C is the correct option.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that,
In triangles ΔXYZ and ΔMPN
XY = MP and YZ = PN
XY=23 in. and MN=19 in.
Clearly
XY > MN
⇒ m ∠Y > m ∠P ...( since angle opposite to the greater side is greater )
And m ∠P = 85° ⇒ m ∠Y > 85°
Hence,
option (1) and option (2) are not correct as they are less than 85°.
Option 4 is also not correct as it cannot be possible in a triangle because 180° is the angle of a straight line.
Therefore, Option 3 should be the correct option correct option, 100° is a possible measure for m ∠Y.
Learn more about the triangle visit;
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8x + 5y = 35 solve for y
Answer:
y = -8/5x + 7
Step-by-step explanation:
Step 1: Write equation
8x + 5y = 35
Step 2: Solve for y
Subtract 8x on both sides: 5y = 35 - 8xDivide both sides by 5: y = 7 - 8/5xRewrite: y = -8/5x + 7I will take a picture of the question.
Answer:
She misinterpreted the 4 and 0 in both of their batting averages.
Each batch of Blueberry Breakfast Treats will make 12 muffins. Mrs. Penney wants to make enough muffins for each of the 35 students in her math club and herself to have one.
Blueberry Breakfast Treats
Number of Batches
1
2
3
4
Cups of Blueberries
Three-fourths
--
--
--
On a coordinate plane, a graph titled Blueberry Breakfast Treats has batches on the x-axis and Blueberries on the y-axis. Points A is (2, 1.5), point B is (2.6, 2.25), point C is (3, 2.25), point D is (4, 3).
If she does not want any leftovers, which point should Mrs. Penney use to determine the amount of blueberries she will need to make her muffins?
A
B
C
D
Mark this and return
Answer:
Step-by-step explanation:
it b
Dane's credit card has an APR of 16%, calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
The Answer is: $283.31
which is >greater =equal or <less than??
√7__3
Answer:
the answer should be < .
True or false in order of operations Wyndham motivations and division Multiplication always comes first
Answer:
True but are you talking about first of everything or before something else because if it's the first of everything the answer is false.
GIVING OUT BRAINLIEST TO FIRST CORRECT ANSWER✅
Answer:
top right graph
Step-by-step explanation:
top right
Answer:
top right graph
Step-by-step explanation:
Not sure what it is, does anyone know?
Answer:
110 degrees
Step-by-step explanation:
it is 110 degrees because on a line comebinedt is 180 degrees. And you already ahve one side which is 70 degrees. So 180 minus 70 is 110 degrees.
Answer:
m5 would be 110 degrees
Step-by-step explanation:
so basically all you have to do for that problem is subtract 70 from 180
Is -0.25 irrational or rational
Answer: Irrational
Step-by-step explanation:
-0.25 is irrational because it can be written as a terminating decimal.
Answer:
irrational
Step-by-step explanation:
Which of the following is an irrational number?
5/4
3 1/7
12
0.59
Answer:
3 1/7....................
Answer:
5/4 yukhjfuihjuihjghokhghhjfigfytiht
ihguydrseikjkvcyu
Four times the sum of a number and -3 is 4 more than twice the number. Which equation below can be used to find the number
4(x - 3) = 2x + 4
3(x - 4) = 4 + 2x
4x - 3 = 2x +4
4x + -3 = 4 + 2x
Answer:
use bodmas and solve this
What is 400,000 rounded to the nearest ten thousand
Answer:
400, 000 is rounded to the nearest ten thousand
Step-by-step explanation:
There is nothing to round
How can you describe two numbers that add to zero?
Answer:
I think it its 0 its called the additive identity because when you add it to a number, the result you get is the same number.
Step-by-step explanation:
For example, 5 + 0 = 5 Any two numbers whose sum is zero, such as 3 and -4, because 3 + (-3) = 0.
which is the best estimate for the number of times the coin will land up 10 20 50 80 100
What is 938,492,948,934,895*929,038,292,839,283,892,948,394,839
Answer:
8.7189589e+41
Step-by-step explanation:
Calculator
Answer:
i do not understand the question
explain
Step-by-step explanation:
Rename 8/9 and 7/18 using the least common denominator.
Answer:
LCD = 18
8/9 = 16/18
7/18 = 7/18
Step-by-step explanation:
This is the answer because:
1) First, the least common denominator is 18 because 9 x 2 is 18 and 18 x 1 is 18
2) Next, multiply the numerators with the same number you multiplied with the denominator
8 x 2 = 16
7 x 1 = 7
3) Therefore, the answers are:
8/9 = 16/18
7/18 = 7/18
Hope this helps!
A gene is composed of two alleles. An allele can be either dominant or recessive. suppose that a husband and a wife who are both carriers of the sickle-cell anemia allele but do not have the disease, decide to have a child. because both parents are carriers of the disease, each one has a dominant normal cell allele (S), and one recessive sickle-cell allele (s). Therefore the genotype of each parent is Ss. Each parent contributes one allele to his or her offspring with each allele being equally likely.
a.List the possible genotypes of their offspring.
b. what is the probability that the offspring will have sickle cell- genotype ss?
c. what is the probability that the offspring will not have sickle cell but still be a carrier (one normal cell allele and one sickle cell allele)
Answer:
a) SS, Ss, ss
b) 1/4
c) 1/2
Step-by-step explanation:
According to this question, a gene coding for possession or not of sickle cell has two alleles. Allele "S" codes for normal cell while allele "s" codes for sickle cell. A heterozygous individual or carrier will have a "Ss" genotype.
If two carriers of the sickle cell condition decide to have a child and mate i.e. Ss × Ss, the following gametes will be produced by each parent: S and s.
a) Using these gametes (S, s) in a punnet square (see attached image), the four possible offsprings with the following genotypes will be produced: SS, Ss and ss in a GENOTYPIC RATIO 1:2:1.
b) Since offsprings with the genotype "ss" will possess the sickle cell condition/phenotype, the probability of offsprings that will have sickle cell is 1/4 i.e. 1 out of 4 possible offsprings
c) Also,carrier genotype will be "Ss", therefore, the probability that the offspring will not have sickle cell but still be a carrier (one normal cell allele and one sickle cell allele) will be 2/4 or 1/2 i.e. 1 out of 2 possible offsprings.
First choice car charged $65 per day and 0.06 per mile. Best rent a car charges $48 per day and .10 per mile. How many miles must be driven in one day to make the costs equal
Answer:
425 miles
Step-by-step explanation:
65+.06m=48+.1m
65=48+.04m
17=.04m
425=m
What are the answers to questions one and three
Answer:
1) x=2, x=-2; 3) x=8/3
Step-by-step explanation:
Use the quadratic formula: -b+-sqrtb^2-4ac/2a
Make y 0 to find the x intercept