Identify the perimeter and area of a square with diagonal length 16 cm. Give your answer in simplest
radical form
Answers
Answer:
32r2, 128 cm ^2
The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
What is a square?A square is a parallelogram, whose all sides are congruent and all angles are right angle.
Given that, a square with diagonal length 16 cm
Let the side of the square be a,
We know that, all sides of a square are congruent,
And, the diagonal divides it into two congruent right triangles,
Therefore, using Pythagoras theorem,
a²+a² = 16²
2a² = 256
a² = 128
a = 8√2
Area = side²
Therefore, area = 128 cm²
perimeter = 4×sides = 32√2 cm
Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
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Related Questions
To solve the equation −x − 3 = x2 − 2x− 15, you could graph of the following system. y = −x − 3 y = x2 − 2x − 15 Use the graph of this system to identify all solutions of −x − 3 = x2 − 2x − 15. A. -7 B. -3 C. 0 D. 4
Answers
Answer:
I think option (D) 4 is correct
Answer:
Step-by-step explanation:
E D G E
The wholesale price for a pillow is 7.50 . A certain department store marks up the wholesale price by 70% . Find the price of the pillow in the department store. Round your answer to the nearest cent, as necessary.
Answers
The price of the pillow in the department store is $12.75
The wholesale price of the pillow= 7.50
The store mark up price was increased by 70
The price can be calculated as follows
70/100 × 7.5
= 0.7 × 7.5
= 5.25
5.25 + 7.50
= 12.75
Hence the price of the pillow is $12.75
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How do you find MAD
Answers
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set
Fractions and integer operations practice, I need help please.
Answers
hope this helps
A die is tossed. If the number rolled is greater than 2, what is the probability that the number rolled is 3?
Answers
Answer:
1/4
Step-by-step explanation:
The probability that the number rolled is 3 is, 1/4.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A die is tossed.
And, The number rolled is greater than 2.
Here, The number rolled is greater than 2.
Hence, Total outcomes are 3, 4, 5, 6
So, The probability that the number rolled is 3 is,
⇒ 1 / 4
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Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum.
Answers
Answer:
$61.99
Step-by-step explanation:
To find the total, we need to add.
Let's start with the ticket and the soda.
54+2=56
0.85+0.15=1
56+1=57
Next, add the price of the hot dog.
4.99 rounds to 5, so 57+5=62
62-0.01=61.99 (here we subtracted the one cent we originally rounded up)
$61.99
Hope this helps :-)
Answer:
61.99
Step-by-step explanation:
Which ratio would allow you to convert from 45 cm into feet? A. 1 inch/2.54 cm...because feet would cancel out B. 2.54cm/1 because cm would cancel out C. 2.54cm/1 inch...because in would cancel out D. 1 inch/2.54 cm...because cm would cancel out
Answers
Answer:
The correct answer is 1 feet/2.54 cm because the cm would cancel out
Step-by-step explanation:
Here, we want the ratio that would allow us convert from 45 cm into feet.
The correct answer here is 1 feet/2.54 cm because the cm would cancel out, leaving us with the feet only.
It would be a case like;
1 feet/2.54 cm * 45 cm
So, we would have;
(45 cm * 1 feet)/2.54 cm
The difference between twelve and 2/3 of a number is 18. What is the number?
Answers
Answer:
FUVULYFVULO 8O75V IYDKLL RU,KJBUUCD
Step-by-step explanation:
5GTIDHKIIIIIIIIFH LVS65344B 5649IOKNJMHXJBN LO9
IJKNBKJSIHERk?/ q
WQRIUUHOFJG
IUVNIGTR
FKNGIKSG'FJDJFSD
DJXFN
DNGKDM
SNFIDSFJOSE9IR9WQ3W
If BD=7x-10, BC=4x-29,and CD=5x-9 what is x ?
Answers
From the question, we know that the sum of BC and CD equals BD.
BD = BC + CD = 7x - 10
BC = 4x - 29
CD = 5x - 9
Let's set BC and CD equal to BD
4x - 29 + 5x - 9 = 7x - 10
Combine like terms on the left side.
9x - 38 = 7x - 10
Add 38 to both sides and subtract 7x from both sides.
2x = 28
Divide both sides by 2
x = 14
Answer:
Step-by-step explanation:
Hope this helps
Jacy has a collection of 140 coins worth $19.00. She has only nickels, dimes, and quarters. The difference in the number of dimes and the number of quarters is 10. Using matrices, how many nickels are in Jacy's collection? 38 50 95 130
Answers
Answer: She has 38 nickels
Step-by-step explanation:
Let's define:
N as the number of nickels, D as the number of dimes, and Q as the number of quarters.
She has 140 coins in total, so we can writen:
N + D + Q = 140.
And the total value is $19.00
Then we have:
N*0.05 + D*0.10 + Q*0.25 = 19
And "The difference in the number of dimes and the number of quarters is 10."
D - Q = 10.
So we have a system of 3 equations and 3 variables:
N + D + Q = 140.
N*0.05 + D*0.10 + Q*0.25 = 19
D - Q = 10.
First, let's isolate one of the variables in the third equation, i will isolate D.
D = 10 + Q.
Now we can replace this in the other two equations:
N + (10 + Q) + Q = 140
N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.
Now we can isolate Q in the first equation:
N + 10 + 2*Q = 140
2*Q = 140 - 10 - N
Q = 130/2 - N/2. = 65 - N/2
Now we can replace this in the other equation:
N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19
N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19
Now we can find the number of nickels.
N*0.05 + 1 + 22.75 - N*0.175 = 19
23.75 - N*(0.175 - 0.05) = 19
23.75 - 19 = N*0.125
4.75/0.125 = N
38 = N
She has 38 nickels
Answer:
A or 38 nickels
Step-by-step explanation:
Point g is on line segment FH. Given FG=5x+2, GH= 3x-1, and FH= 9, determine the numerical length of FG.
Answers
Answer:
Step-by-step explanation: fg + Gh = fh
8x+1=9
8x=8
X=1
The numerical length of the line segment FG is 7 units.
Given that, FG=5x+2, GH= 3x-1, and FH= 9.
We need to find the numerical length of FG.
What is a line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Now, FH=FG+GH
⇒9=5x+2+3x-1
⇒8x+1=9
⇒8x=8
⇒x=1
So, FG=5x+2=7
Therefore, the numerical length of the line segment FG is 7 units.
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185=-5(10r+3) please help me with this question
Answers
Steps to solve:
185 = -5(10r + 3)
~Distribute right side
185 = -50r - 15
~Add 15 to both sides
200 = -50r
~Divide -50 to both sides
-4 = r
Best of Luck!
Answer:
r=-4
Step-by-step explanation:
185= - 5 10 r + 3
37= 10 r + 3
10r = - 3 - 37
10 r = - 40
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two
sets of data?
3
O median
O mode
mean
• skandard deviation
Answers
Answer:
He would use mean as a statistic to compare the spread of the two sets of data.
Step-by-step explanation:
What is mean?
Arithmetic Mean represents a number that is obtained by dividing the sum of the values of a data set by the total number of values
What is statistic?
A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose.
The mean takes into account the whole spread of the data among the various statistic and is helpful in comparing data.
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Answer:
D. standard deviation
Step-by-step explanation:
100% on edge
At a grocery store, Rick bought 4 loaves of bread and 3 gallons of milk for $20. Danny bought 6 loaves of bread and 2 gallons of milk for $25. Identify the cost of a loaf of bread and a gallon of milk
Answers
Hey there! I'm happy to help!
Let's call the cost of a bread loaf b and the cost of a milk gallon m. Here is the info we have.
4b+3m=20
6b+2m=25
We solve one equation for b or m (we will solve the first one for b.
4b+3m=20
Subtract 3m from both sides.
4b=20-3m
We divide both sides by 4.
b=5-3/4m
We plug this value of b into the second equation to solve for m.
6(5-3/4m)+2m=25
We use distributive property to undo the parentheses.
30-4.5m+2m=25
We combine like terms.
30-2.5m=25
We subtract 30 from both sides.
-2.5m=-5
We divide both sides by -2.5
m=2
We plug this m into one of the original equations to find b.
4b+3(2)=20
4b+6=20
Subtract 6 from both sides.
4b=14
Divide both sides by 4.
b=3.5
So, a loaf of bread costs $3.50 and a gallon of milk costs $2.00.
Have a wonderful day!:D
If ab=4x-10,Bc=x-1 and b is the midpoint of ac, find ab
Answers
Answer:
AB = 2Step-by-step explanation:
If B is the midpoint of AC then:
AB = BC
4x - 10 = x - 1
+10 +10
4x = x + 9
-x -x
3x = 9
÷3 ÷3
x = 3
AB = 4x - 10 = 4×3 - 10 = 12 - 10 = 2
The length of a board is 2 5/8 feet long . Of 5/6 of a foot is trimmed off ,find the new length
Answers
Answer:
I think it is 25 ft and 10 in
Step-by-step explanation:
BTW i'm probably wrong because my mom says i suck at math but friend me please lol
Answer: 1 19/24 ft
Step-by-step explanation: You multiply the fractions by the numbers needed to get the common denominator of 24 in this case 5/8 (put the two to the side for now.) multiply both top and bottom by 3 which will get you 15/24 then the whole number 2, your going to take it and subtract one from it so now there is only one whole number then with the one you subtracted you multiply (1x24)+15 *for the numerator* so now its 39/24 and for the second fraction 5/6 multiply both top and bottom by 4 now your fraction is 20/24 now...--> 39/24 - 20/24=19/24 and the left over whole number from the beginning goes down in front so the final answer is 1 19/24
Could someone help me out, I’m not sure how to do these :,)
Answers
Answer:
1.) Reflection over y=1
2.) Translation rule: (x-5, y-3)
3.) Reflection over the y axis
4.)Translation rule: (x-4, y+1)
Step-by-step explanation:
can anyone help asap?
Answers
two decimals in the tenth place equal a decimal in the hundredths place
answer:
i think the answer is D it's been a really long time since i've done that
hope that helps!
Is 0.45 repeating an integer
Answers
Answer:
Yes
Step-by-step explanation:
Short cut: write down the recurring digitswrite a 9 for each recurring digit.
When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50. Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store. Write the function's formula.
Answers
Answer:
R(t)=10+0.50t
Step-by-step explanation:
His rate is based on time, for the first side of the equation.
His beginning pay would be 10, so 10 would act as the y intercept. The rate increases by 0.50, so for every year (t) it would increase by 0.50, why you add 0.50 and multiply by the amount of years he works.
Jenny invests $8500 for 3 years in a savings account. She gets 2.3% per year compound interest. How much money will Jenny have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.
Answers
Answer:$9,100.09
Step-by-step explanation:
how is scientific notation used in the real world
Answers
Answer:
Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.
Step-by-step explanation:
These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.
Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:
Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.
Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).
Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².
Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.
Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.
Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.
Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.
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PLEASE HELP!!!!! ITS DUE SOON
Answers
For b), you replace your total cost, C, with $11,175, so it will be 11 175 = 7500 + 175n.
Then, it would be 11 175 - 7500 = 175n
(7500 becomes negative when you move it to the other side of the equal sign).
Then, 3675 = 175n
Then, 3675/175 = 175n/175 ( a / means division)
That leaves you with n = 21.
So, the answer for b) is 21 tons.
Anyone understand how to do this?
Answers
Step-by-step explanation:
[tex]\angle L\\
\angle GLJ\\
\angle JLG\\
\angle 2[/tex]
Answer:
<L
<GLJ
< JLG
<2
Step-by-step explanation:
There are 4 different ways to name this angle
By the vertex <L
With the sides and vertex ( vertex in the middle) <GLJ or < JLG
or by the number in the middle <2
Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3
Answers
Given the area of a rectangular pool is 6x^3+19x^2+2x-20 and the length of one side of the pool is 2x+5, find the measure of the missing side.
The missing side length is
Answers
Answer:
The missing side length is 3x^2 + 2x -4
Step-by-step explanation:
Here, we are interested in calculating the length of the missing side.
Mathematically, the area of a rectangle = L * B
So since we have the area and one side, to get the other side, we shall need to divide the area by the side we have ;
Thus, the missing side length will be;
6x^3+19x^2+2x-20/2x+ 5
Please check attachment for the polynomial long division
The value of the other factor after the polynomial long division is 3x*2 + 2x -4
the circumference of a circle is 264 cm find its area
Answers
Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
Ten times the sum of half a number and 6 is 8
Answers
Answer:
I think it's 7
Step-by-step explanation:
I'm guessing I think
Maria is making a skirt with rows of ribbon around the bottom. Each row of ribbon is 1.75 yards long. How many rows will she have if she is cutting the pieces from 5.25 yards long?
Answers
Answer:
3 rows
Step-by-step explanation:
Answer:
3 rows
Step-by-step explanation:
you just divide
please answer this question for geometry
Answers
Answer:
D is the correct answer in 95% sure :)