3. The rectangle below has an area of 297 in. Find the length of the diagonal.
14
27 in.
odhad.
Answers
9514 1404 393
Answer:
29.15 in
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Filling in the given information, we can find the missing side length.
297 in² = (27 in)h
h = (297 in²)/(27 in) = 11 in
The length of the diagonal can be found from the Pythagorean theorem.
d² = 27² + 11² = 729 +121 = 850
d = √850 = 5√34 ≈ 29.15476
The length of the diagonal is about 29.15 inches.
Related Questions
A snack recipe calls for 5 3/4 cups of cereal and 3 5/12 cups less of raisins. How many total cups of snack mix does the recipe make? Write in simplest form.
Answers
Answer:
10 1/12 cups
Step-by-step explanation:
Ok, so since we know that the recipe calls for 5 3/4 cups of cereal we can go ahead and say it's at least that much.
Then we have where it says there are 3 5/12 less cups of raisins we need to subtract this from 5 3/4 cups and we get 2 4/12 of raisins.
Final equation: 5 3/4+2 4/12= 10 1/12 cups
Hope this helps!!
Estimate the sum by rounding the numbers to the nearest hundred and then adding: 539 + 221
Answers
Answer:
700
Step-by-step explanation:
539 rounded to 500
221 rounded to 200
500 plus 200 is 700
The following data points represent the number of guests at Hunter’s Ribeye BBQ House each day since they opened.
96, 279, 255, 254, 75, 211, 271, 291, 102
Display the data in a histogram.
Answers
Step-by-step explanation: first one goes to 2 second one goes to 0 and third one goes to 6 I said "get help" on khan academy
The histogram for the given data is displayed below.
What is histogram?A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.
The given data is 96, 279, 255, 254, 75, 211, 271, 291, 102.
Data in order 75, 96, 102, 211, 254, 255, 271, 279, 291.
From the graph, with intervals 0-74 there are 0 observations
75-149 there are 3 observations
150-224 there is 1 observation
225-299 there are 5 observations
Therefore, the histogram for the given data is displayed below.
Learn more about the histogram here:
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The solutions to quadratic equation are called (select all that applies)
Maximum or Minimum
Parabolas
Line of Symmetry
Zeros
Roots
Answers
Answer:
zeros
roots
Step-by-step explanation:
The manager of the customer service department of an e-commerce company wants to know the average hold time for customers who call the department. The department receives about 850 calls each hour. The following data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2. Calculate the approximate hold time for all customers who call the customer service department.
The approximate hold time for all customers who call the customer service department is A 4 minutes. B 3 minutes. cannot be calculated from the given data. d 7 minutes
Answers
Answer:
The answer is approximately 3.
Step-by-step explanation:
You add all the numbers and then divide by 10
The approximate hold time for all customers who call the customer service department is 3 minutes.
What is a mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
For the given situation,
The department receives about 850 calls each hour.
The data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2.
The approximate hold time for all customers who call the customer service department is calculated by mean as
⇒ [tex]\frac{sum of number of data sets}{Total number of data sets}[/tex]
⇒ [tex]\frac{2+1+4+5+3+3+7+4+3+2}{10}[/tex]
⇒ [tex]\frac{34}{10}[/tex]
⇒ [tex]3.4[/tex] ≈ [tex]3[/tex]
Hence we can conclude that the approximate hold time for all customers who call the customer service department is 3 minutes.
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A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?
Answers
Answer:
6 years
Step-by-step explanation:
What is 37/40 in simplest form
Answers
Answer:
It is already explained in simplest form
Step-by-step explanation:
It can be written as 0.925 in decimal form (rounded to 6 decimal places).
(q4)Find the area of the region bounded by the graphs of
and x = y - 4.
Answers
The area of the region bounded by the graphs is 3.33 .Option B
To find the area of the region bounded by the graphs, we need to determine the points of intersection and integrate the appropriate functions within the bounds.
First, let's find the points of intersection between the graphs.
Setting the equations equal to each other, we have:
x = y - 4
x = ±√(y - 2)
To solve this system of equations, we can square both sides of the second equation:
[tex]x^2 = y - 2[/tex]
Now, we can substitute x from the first equation into the squared equation:
[tex](y - 4)^2 = y - 2[/tex]
Expanding and rearranging the equation:
[tex]y^2 - 8y + 16 = y - 2\\y^2 - 9y + 18 = 0[/tex]
Factoring the quadratic equation:
(y - 3)(y - 6) = 0
So we have two solutions: y = 3 and y = 6.
Now, let's find the corresponding x-values for each y-value.
For y = 3:
x = y - 4 = 3 - 4 = -1
For y = 6:
x = y - 4 = 6 - 4 = 2
We have found the points of intersection: (-1, 3) and (2, 6).
To find the area, we need to integrate the appropriate functions within the bounds.
For the first part of the region, bounded by the graphs x = y - 4 and x = -√(y - 2), we integrate with respect to y:
A1 = ∫[3, 6] [(y - 4) - (-√(y - 2))] dy
Simplifying:
A1 = ∫[3, 6] [y - 4 + √(y - 2)] dy
To evaluate this integral, we need to use numerical methods or software. The result is approximately 2.08 sq. units.
For the second part of the region, bounded by the graphs x = y - 4 and x = √(y - 2), we integrate with respect to y:
A2 = ∫[3, 6] [(y - 4) - √(y - 2)] dy
Simplifying:
A2 = ∫[3, 6] [y - 4 - √(y - 2)] dy
Again, we need to use numerical methods or software to evaluate this integral. The result is approximately 1.25 sq. units.
Finally, we find the total area by adding A1 and A2:
Total area = A1 + A2 = 2.08 + 1.25 = 3.33 sq. units.Therefore, the correct answer is Option B
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Help quickly pleaseee
Answers
Answer:
I'm corona positive and isolated feeling depressed just logged in to talk someone but people ignoring me thanks for this behaviour got disappointed bye everyone logging out had a great time
Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C. What is the distance from A to C (the velocity of the ball relative to the ground), correct to two decimal places? Assume that all the points in the diagram lie in the same plane. A. 21.14 m/s B. 18.03 m/s C. 17.20 m/s D. 15.00 m/s
Answers
A and C are separated by 21.14 miles. The right answer is A.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
The ratio of the object's distance travelled at a certain time is known as its velocity. As a vector quantity, the velocity requires both the magnitude and the direction.
Assuming that the distance from A to B in the diagram represents the train's speed in relation to the ground. The distance from B to C represents the velocity of a ball thrown inside a train at an angle of 66° to the train.
The following formula will be used to determine how far A is from C:
2×15×10×cos(180-66)=15²+10²-AC²
-300 cos 66=225+100-AC²
AC=√(325+300 cos 66)
AC = 21.17 m/s
As a result, A and C are separated by 21.14 miles. The right
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Find the circumference of a circular dog pen that has a radius of 35 meters. Use 227 for π.
Answers
Answer:
220
Step-by-step explanation:
Circumference of a circle is=diameter times pi
70=diameter because diameter is twice the radius
(22/7)70 is your answer
who is the current vice president of the us? is this a statistical question or a non statistical question why or why not? Explain your answer
Answers
Answer:
The current vice president (as of 4-16-2021) of the U.S. is Kamala Harris. This is a non-statistical question.
Step-by-step explanation:
A statistical question can be answered by collecting data and where there will be variability in that data. The proposed question (Who is the current vice president of the U.S.?) does not allow for variability in the data as there is only one legitimate answer to the question, thus it is NOT a statistical question.
Answer: statistical question
Step-by-step explanation:
cause your asking the current vice president.
what is the area of the trapozoid?
Answers
Answer:
8units²
Step-by-step explanation:
area of trapezoid=½(a+b)*h
a=2
b=6
h=2
area of trapezoid=½(2+6)*2
area of trapezoid=½(8)*2
area of trapezoid=4*2
=8units²
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden? (List what the original speed of grey wolf can be)
Answers
Answer:
9 km/h or 48 km/hStep-by-step explanation:
Let the distance is d, speed is sAs per given we have:
d/s = 536/s + (d - 36)/(s + 3) = 5 - 1/4Substitute d with 5s and solve for s:
36/s + (5s - 36)/(s + 3) = 19/436(s + 3) + s(5s - 36) = 19s(s + 3)/44(36s + 108 + 5s² - 36s) = 19s² + 57s20s² + 432 = 19s² + 57ss² - 57s + 432 = 0s² - 9s - 48s + 432 = 0s(s - 9) - 48(s - 9) = 0(s - 9)(s - 48) = 0s -9 = 0 ⇒ s = 9 km/hs - 48 = 0 ⇒ s = 48 km/hThe original speed of grey wolf can be 9 km/h or 48 km/h
holt mcdougal chapter 7 online answer key
Answers
Answer:
saan po yung pic hindi kopo maindihan
plz hurry Cari is 3 years older than her brother Mark. Write Cari's age (c) as a function of Mark's age (m) and determine how old Cari will be when Mark is 15.
(A) c = m + 3; 18 years old
(B) c = m − 3; 12 years old
(C) m = c + 3; 12 years old
(D) m = c − 3; 18 years old
Answers
Answer:
A
Step-by-step explanation:
Because she is 3 years older then her brother you would be adding 3 to the age to get cari's age
Biased or Random?
Michael wants to determine the amount of time that 7th graders spend studying for tests. He surveys 80 7th grade students as they get to school.
Answers
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Hope this helped! :)
Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
Answers
Answer:
Increase in dollars = $1,539
Balance in the account at the end of the year = $6,939
Step by step explanation:
5400*.285=$1539
So increase in dollars is $1,539
That is the money growth. Now add to initial balance to find the account total after the end of the year
5400+1539=$6,939
Money in the account at the end of the year $6,939
What is the range for the set of data?
A. 4
B. 6
C. 3.5
D. 0
I don’t want a link, so if you were gonna send one, ignore this instead
Answers
Please help
❤️❤️❤️❤️❤️❤️❤️❤️
Thanks besties
Answers
Answer:
62.33 degrees Fahrenheit.
Anytime bestie <3
Justin buys ice cream and apples at the store.
He pays a total of $25.24.
He pays a total of $5.14 for the ice cream.
He buys 5 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of apples costs.
Answers
Answer:
$4.02
Step-by-step explanation:
Subtract $5.14 from $25.24.
$25.24-$5.14=20.10
Divide 5 and $20.10
20.10/5= 4.02
so each bag of apples costs $4.02
Which graph shows the solution to the following system of inequalities?
{x - y = 1
y - x = 1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).
Answers
(Use desmos calculator for these problems)
Hank and lynn are paying off car loans.
·Hank paid $2,000 up front when he bought his car,and he pays 200$ each month.
·Lynn did not pay any money up front when she bought her car, and she pays 275$ each month.
Is the relationship between the number of months an the total amount paid proportional for both hanks and lynns loans?
A graph that shows the number of months and the total amount paid by hank would
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
A graph that shows the number of months and the total amount paid by lynn would.
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
the relationship between the number of months and the total amount paid is proportional for
A: lynns loans only
B: neither loans
C: both loans
D: Hanks loan only
Answers
Answer:
1.B 2.C 3.C
Step-by-step explanation:
Answer:
BCC
Step-by-step explanation:
in how many ways can 4 mangoes and 3 apples be distributed among 7 children if each child receives only 2 fruit?
Answers
solution
this is what I did. total number of ways without any restriction =900. we have to subtract the case when at least one child doesn't get any fruit. let that be C1∪C2∪C3 and we use the principle of mutual inclusion and exclusion to find that. C1∪C2∪C3=C1+C2+C3−(all two intersections)+3 intersections (no one gets a fruit case) =3⋅60−3+1=178 so case where each child gets at least one fruit =900−178=722.
Is this right, someone saying answer =49
Robert bought an LED television set that is 32 inches long. The diagonal length
measures 40 inches. What is the width of the television screen?
Pythagorean
Answers
Make a right triangle from the square
Diagonal length = hypothenuse
Use Pythagorean theorem as stated
a^2 + b^2 = c^2
32^2 + b^2 = 40^2
1024 + b^2 = 1600
b^2 = 576
Square root of 576 = 24
Solution: the width is 24 inches
Kammys mom gave her $85 to go shopping if she spent $118 how much of her own money did curry use
Answers
Curry used $33 of her own money
What is 53.237 written in expanded form?
Answers
50 + 3 + 0.2 + 0.03 + 0.007
The segments shown below could form a triangle. True B. False
Answers
It won’t be a Prefect Triangle but it still is one
(sorry my drawing is bad)
Wat is a mixed number or whole number: 11/3
Answers
Answer:
Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3
Answer:
3 2/3 is the simplified version of 11/3
Step-by-step explanation: