Answers
9514 1404 393
Answer:
14.14
Step-by-step explanation:
The diagonal of a square is √2 times the side length.
AC = AB×√2
AC = 10√2 ≈ 14.14
_____
The diagonal of a square is the hypotenuse of an isosceles right triangle. If the sides of that are s and the diagonal is d, the Pythagorean theorem tells us ...
d² = s² + s²
d² = 2s²
d = (√2)(√s²) = s√2
This relation holds for any isosceles right triangle, not just for the diagonal of this square. It is useful to remember.
Related Questions
A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8.
Required:
What represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants?
Answers
Answer:
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
Step-by-step explanation:
Very clear deck :
n1 = 38
x1 = 89.2
s1 = 3.1
Sure seal
n2 = 37
x2 = 92.4
s2 = 3.8
Confidence interval for difference in sample means :
(X1 - X2) ± margin of error
(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))
Using the degree of freedom calculator ; df = 70
Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))
Tcritical at 90% confidence interval, df = 70 = 1.688
Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)
Confidence interval :
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
Find the lateral area of the prism.
4cm
3cm
6cm
5cm
Lateral Area = [?]cm2
Answers
Answer:
The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.
Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.
We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.
We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.
Solving for "h", we get h = LSA / (s1+s2+s3)
For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20
Zach wants to paint the top of the table shown. What is the approximate area that he will paint? Use 3.14 for pi Round to the nearest whole number of inches.
Answers
Answer:
≈4776
Step-by-step explanation:
r=78/2
r=39
A=3.14r^2
A=3.14(39)^2
A=3.14*1521
A≈4776
Hope this helps :)
Given f (x) = x + 1 and g(x) = x2, what is (gof)(x)?
Answers
Answer:
(gof)(x) = x² + 2x + 1
Step-by-step explanation:
You can solve this by plugging f into g and finding the result:
(gof)(x) = f(x)²
= (x + 1)²
= x² + 2x + 1
CAN SOMEONE LLEASE HELP ME IM SO LOST!!
Answers
Answer: 1324 in^2
Step-by-step explanation:
Need help with full work quick
Answers
Answer:
Step-by-step explanation:
36x^3 - 81x
9x(4x^2 - 9)
9x(2x - 3)(2x + 3)
She is right
Solve the inequality. m/-5 < or = 4
Answers
Answer:
M < or = -20
Step-by-step explanation:
Brainlist please
The Lemonade War is a book with 14 chapters. Each chapter
represents a
of the book. *
quarter
half
fraction
O third
Answers
What do you need to do first to solve this equation? -62 +4= -20
Answers
Answer:
Add -62 and 4
Step-by-step explanation:
Step-by-step explanation:
-62+4=-20
-58=-20
58=20
What is the distance between (2,8) and (8, 16)?
Answers
Answer:
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
(6, 8)
Step-by-step explanation:
please mark this answer as brainliest
Answer:
10
Step-by-step explanation:
John is moving from Portland to Sacramento, which is 600 miles away. He is traveling at an average speed of 55 miles per hour. Jon stops for gas after a couple of hours and wonders how much further he needs to go. If y represents distance from Sacramento and x represents time, which linear equation would indicate the amount of miles Jon still has to travel to Sacramento?
Answers
600-55x=y
Are you supposed to solve? Couple=2
If you plug in 2 to x you can solve
Are there any answer choices?
Answer:
Y=-55x + 600
Step-by-step explanation:
please help no links please.
Answers
Answer:
I think it's A, if you just subtract 25 from each top # you should get the right one
edit; yah it's A
Answer:
B is the correct answer
Step-by-step explanation:
Look at the graph. For every day, there should be 25 less containers of peanuts than popcorns. Let X represent popcorns. Everyday, X - 25 should be your amount of peanut containers.
Only A and B works, so now just add the total amount of containers for both peanuts and popcorns.
225 + 200 + 150 + 300 + 200 + 175 + 125 + 275 = 1650
Only B matches the description of 1650 total containers. So, B is your answer.
solve each system by eliminating one of the variables by addition or
subtraction.
Answers
Answer:
1) x- y = 8
x + y = 12
eliminate one variable by adding the equations
2x = 20
divided by 2 on both sides
x = 10
substitute the value of x in the equation 1
10 - y = 8
-y = 8- 10
y =2
[x , y]
[10 , 2]
2) 2x - y = 4
3x + y = 6
eliminate one variable by adding the equations
5x = 10
x = 2
substitute the value of x in the equation
2(2) - y = 4
4 - y = 4
y = 0
[x ; y]
[2; 0]
3) x + 2y = 10
x + 4y = 14
multiply equation 1 by - 1
-x -2y = -10
x + 4y = 14
eliminate one variable by adding the equations
2 y = 4
y = 2
substitute the value of y in the equation 1
x + 2(2) = 10
x + 4 = 10
x = 6
[x ; y]
[6 ; 2]
4 ) 3x + y = 9
y = 3x + 6
simplify the expression
3x + y = 9
- 3x + y = 6
eliminate one variable by adding the equations
2y = 15
y = 15/2
substitute the value of y in equation 1
3x + 15/ 2 = 9
3x = 3/2
x = 1/2
[x ; y]
[1/2 ; 15/ 2]
5) 4x + 5y = 15
6x - 5y = 18
eliminate one variable by adding the equations
10 x = 33
× = 33/10
substitute the value of x in equation I
4 (33/10) + 5y = 15
66/5 + 5y =15
5y = 9/5
y = 9/25
[x ; y]
[33/10 ; 9/25]
6) 5x = 7y
x + 7y = 21
in equation I move the variable to the left
5x - 7y = 0
x + 7 y = 21
eliminate one variable by adding the equations
6x = 21
x = 7/2
substitute the value of x in the equation
5(7/2) = 7y
35/2 = 7y
5/2 = y
[x ; y ]
[7/2 ; 5/2 ]
Brandon needs to order some new supplies for the restaurant where he works. The restaurant needs at least 549 spoons. There are currently 273 spoons. If each set on sale contains 10 spoons, write and solve an inequality which can be used to determine ss, the number of sets of spoons Brandon could buy for the restaurant to have enough spoons.
Answers
Answer:
28 sets
Step-by-step explanation:
Because 10x3=30+73=103 then 103+200=303 keep that in mind then you
^
3 sets
Do 549-303=246=25 sets then 25 sets+3sets=28 sets
Answer:
Inequality: 10s + 273 ≥ 549
Answer: s ≥ 27.6
Step-by-step explanation:
Have a good day :)
Plzzzz answer fast..
Answers
Answer:
A) Yes; AA Similarity
Step-by-step explanation:
Yes; AA Similarity
Leo buys a new car for $17,600. The simple interest rate is 8.4% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Round your answer to the nearest dollar and do not round until the final answer.
Answers
Answer:
$24,992
Step-by-step explanation:
The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.
I = (17,600)(0.084)(5)
I = 7,392
The total amount that must be repaid is the interest + the principal:
7,392 + 17,600 = 24,992
Please let me know if you have questions
Madison was given a large box of 48 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?
Answers
Answer:
The answer is 23 chocolates
Step-by-step explanation:
You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23
Tyra's kitchen is 42 m wide and 6.3 m long. She is pasting a decorative border strip that costs $5.95 per meter around the top edge of all the walls. How much will she spend?
Answers
Answer:
$124.95Step-by-step explanation:
The length of the strip is equal to perimeter of the kitchen.
P = 2(4.2 + 6.3) = 21 mCost of the strip is:
21*$5.95 = $124.95Freddy swims at the community center each week. He wonders about the area of
the pool. He thinks he cannot figure it out because the pool is not rectangular. Can
you figure out the area of the swimming pool at Freddy's community center?
Answers
Answer:
Yes you can.
Step-by-step explanation:
Multiply length x width.
Other:
If you want me to find the exact answer, it is not currently possible as you haven't given me any dimensions.
HELP MEEEE !!!
Plsssss
Answers
This is because you have to work out the range of both periods
The range is the highest number - the lowest number
Range for period 1: 92-81=11
Range for period 3:92-74=18
As you can see the range for period 3 is 7 points greater than period 1 therefore the answer is the second option ( option B)
Hope this helped
Which of the following shows the correct first step to solve x^2-16x=-21 by completing the square? I'll give brainiest ASAP
`
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The perfect square of the given expression can be created by adding 36 to the expression, then the expression will reduce to,
(x-6)² = x² - 12x + 36
Hence, the correct option is C.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
look at pic 10 pts will mark brainilest
Answers
Answer:
C) It will not change
Hope this helps! :)
Find the interest earned on $5,750 deposited into a savings account for 3 1/2 years at an annual interest rate of 4.5%
Answers
interest = (5750)(0.045)(3.5)
interest = $905.63
The required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.
Principal amount (p) = $ 5750, Rate = 4.5%
Tenure or time = 3 1/2 = 3.5 years. Interest earned to be determined.
Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.
Here,
[tex]Interest = principle*rate*time[/tex]
Interest = 5750 * 4.5%*3.5
interest = 5750*0.045*3.5
= 2587.75*3.5
= 905.63
Intrest earned = $905.63 against $5,750 deposited into savings account for 3 1/2 years.
Thus, the required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.
Learn more about interest here:
https://brainly.com/question/13324776
#SPJ2
Get this answer correct u get a brainleist
That is the volume of a basketball
if u look it up u dont get it
Answers
Answer:
Imma guess around 350 cubic inches
Step-by-step explanation:
I'm just going off of my hand compared to my basketball
Answer:
About 433.526 inches^3
Step-by-step explanation:
Goal: Calculate the volume of a Basketball as accurately as possible. Objective 1: Calculate the volume of a basketball.
Step One: Find the radius of the basket ball inflated at 8 PSI. To do this we used a string to measure the circumference of the basket ball arriving at a measurement of 29 inches. Next we inserted that number into the formula C = 2πR where C= circumference and R= Radius. We found that where C= 29inches, R= 4.615 inches.
Solve with Volume of a ball or sphere = 4/3*pi*radius
Can someone please help me?
Answers
Answer:
D
Step-by-step explanation:
This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].
which of the following is equal to the rational expression?
Answers
Answer:
d
Step-by-step explanation:
please mark as brainliest if correct
thank you
have a great day/night
:)
A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
members of the 7th grade class, then how many students can be expected to prefer the zoo?
zoo
MUSEUM
18
SPORTS COMPLEX
10
7TH GRADE
12
8TH GRADE
14
19
7
39
48
120
66
Answers
Answer:
66 students prefer the zoo
Step-by-step explanation:
I got it correct :)
Y=-4. Y=x-8 solve for substitution
Answers
Or x=4, y=-4
Answer:
ok
Step-by-step explanation:
I think
At the beginning of January of the current year, Thomas Law Center's ledger reflected a normal balance of $55,000 for accounts receivable. During January, the company collected $17,800 from customers on account and provided additional services to customers on account totaling $14,000. Additionally, during January one customer paid Thomas $6,500 for services to be provided in the future. At the end of January, the balance in the accounts receivable account should be:
Answers
Help please thanks!!!
Answers
Answer:
Four tenths
Step-by-step explanation:
You are correct. The dot is on 0.4. the 4 is in the tenths place, so four tenths.