Answers
First, EG is 24, so the halfway points are 12. Knowing Pythagorean triples, you can use 5,12,13 and 12,16,20.
DF = 5+16
DF = 21
If you don't know Pythagorean triples, I have worked it out on the image attached.
Applying the Pythagorean theorem, the length of diagonal DF is: C. 21 cm.
What is the Pythagorean Theorem?The sum of the squares of the two shorter legs of a right triangle equals the square of the length of the longest leg.
Let the point of intersection of the diagonals be O.
Diagonal FD bisects diagonal EG into equal segments EO and OG. EO = OG = 24/2 = 12 cm
Find the lengths of FO and OD using the Pythagorean theorem:
FO = √(20² - 12²) = 16 cm
OD = √(13² - 12²) = 5 cm
Length of diagonal DF = FO + OD = 16 + 5 = 21 cm.
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Related Questions
On a certain day, the company took 88 people on whale watching trips. There were 44 children aged twelve and under, of which some children were under three years. If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day?
(44 + x)35 + (88 – (44 + x)) ∙ 46 = C
(88 - x)35 + (88 – 44) ∙ 46 = C
(44 – x)35 + (88 – 44) ∙ 46 = C
(88 + x)35 + (88 – (44 + x)) ∙ 46 = C
Please explain why? ...?
Answers
Answer with explanation:
Total number of People who were on Whale Watching Trip =88 People
Number of People (Children ) who was 12 and under ,and some children who were under three years old=44
Number of three year and less old Children = x
Amount of Money charged for three year and less= $ 0
Amount Charged for Children who were above 12 years and less than or equal to 3 years=(44-x) = $ 35
Total Number of Adults =88-44
Amount charged for each Adult = $46
Total amount of money collected from tickets on that day=$ C
Writing the Above Statements in terms of Equation
⇒ (44 -x)×35+(88-44)×46=C
Option C
The equation to find the number of children under three years of age during a whale watching trip is (44 - x)35 + (44)46 = C, accounting for different ticket costs for children and adults.
The correct equation to find the value of x, which represents the number of children under three years, is (44 - x)35 + (88 - 44) \46 = C. This equation takes into account the cost of tickets for the children under three and those above three but under thirteen, as well as adults and older children, given that the cost of tickets might be different.
To explain, the total number of children is 44, and if we subtract the number of children under three (x), we have the number of children between the ages of four and twelve left.
We multiply this number by the ticket price for children in this age group, which is $35. The remaining passengers are adults, totaling 88 passengers minus the 44 children, which gives us the number of adult tickets sold. This number is then multiplied by the adult ticket price, which is $46. Finally, the sum of these two products gives us the total amount of money collected, C.
An apartment requires an initial deposit of $500 + $400 per month for rent.
Let C be the total cost of
the apartment.
Which shows the equation for the total cost for x number of months?
Answers
There are ten shirts in your closet, four blue, three green, and three red. You randomly select a different shirt each day. You wear a blue shirt Monday, Tuesday, and Wednesday.
Answers
Probability = Number favorable outcomes / total number of outcomes
Assuming there's no replacement (because clothes), the answer would be:
(2/5)•(1/3)•(1/4), which equals 2/60, or 1/30.
The reason:
On Monday, there are 10 shirts, 4 of them blue. So, your chances are 4 out of 10, or 4/10, which reduces to 2/5.
On Tuesday, there are 9 shirts left, 3 of them blue. So, 3/9, or 1/3.
On Wednesday, there are 8 shirts, 2 of them blue. So, 2/8, or 1/4.
You multiply all the fractions together (which is why simplifying helps A TON)
Hope this helps! And sorry about not answering sooner!
MRS. FARLY WANTS TO BUY A PENCIL FOR EACH OF HER 23 STUDENTS. PENCILS COME IN BOXES OF 5 PENCILS EACH. WHAT IS THE LEAST NUMBER OF BOXES SHE MUST BUY TO HAVE A PENCIL FOR EACH STUDENT. A. 2, B3, C4, OR D 5
Answers
Find the slope of the line tangent to the
graph of ln(xy)-2x=0 when x= -1
answer choices..
1. slope = 3/2e^-2
2. slope= 3/2e^2
3. slope= 3e^-2
4. slope= -3e^2
5. slope= -3/2e^2
6. slope= -3e^-2
Answers
slope of the tangent line = derivative of the function
[ln(xy)]' = [2x]'
[1/(xy)] [y + xy'] = 2
y + xy' = 2(xy)
xy' = 2xy - y =y(2x-1)
y' = y(2x-1)/x
Now use x = -1 to find y and after to find y'
ln(xy) = 2x
x=-1
ln(-y) =-2
-y = e^-2
y = - e^-2
y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2
Answer: option 6. from the list
Answer:n
Step-by-step explanation:
help me please tryna finish
Answers
start at 5 1/2 add 1 1/5
Answers
6 7/10
Will upvote!
I just need two or three points on the graph
Graph −7y+8=21x−6
Answers
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i + y j + 7 k S is the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 6
Answers
To find the flux of the vector field F across the boundary of the described cylindrical region, the surface integral must be computed with outward normals, parameterizing each surface portion, setting appropriate bounds, and summing all contributions.
Explanation:The student has asked to evaluate the surface integral (flux) of the vector field F(x, y, z) = x i + y j + 7 k across the boundary of a cylindrical region defined by x2 + z2 = 1 and the planes y = 0 and x + y = 6. To solve this problem, we first define a consistent outward orientation for the surface normals.
It is important to carefully determine the components of the vector field that contribute to the flux through the various portions of the boundary surface - the curved cylindrical surface, the bottom plane at y = 0, and the slanted plane at x + y = 6.
We compute the surface integral by parameterizing each portion of the surface, setting up and evaluating the integrals for each, and summing these contributions.
This involves finding the antiderivatives with respect to both dimensions defining the surface area, considering the appropriate bounds derived from the region described.
To evaluate the surface integral of the given vector field F across the oriented surface S, parameterize the surface S as a combination of two surfaces and evaluate the surface integral of F · dS for each surface separately. Then, calculate the total flux of F across the surface S.
Explanation:To evaluate the surface integral of the given vector field F across the oriented surface S, we need to find the flux of F across S. The vector field F is given as F(x, y, z) = x i + y j + 7 k. The surface S is the boundary of the region enclosed by the cylinder x^2 + z^2 = 1 and the planes y = 0 and x + y = 6.
To evaluate the surface integral, we can use the formula Φ = ∫∫ F · dS, where F is the vector field, dS is the area element, and the integral is taken over the surface S. In this case, the surface S is the boundary of the region enclosed by the cylinder and the planes. We can parameterize the surface S and then use the formula to evaluate the integral.
By parameterizing the surface S as a combination of two surfaces, we can evaluate the surface integral of F · dS for each surface separately. The total flux of F across the surface S is the sum of the fluxes across the two surfaces. Using the formula and the parameterization, we can calculate the flux of F across the surface S.
The complete question is:content loaded
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i + y j + 7 k S is the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 6 is:
Your $1000 investment in an energy stock doubles. Your $1000 investment in a tech stock drops in half. What was the total return on the two investments?
Answers
Answer: 0.25 or 25%
Explanation:
1) The first stock will double its value ⇒ new value = $1,000 × 2 = $2000
2) The second stock wil dropt to half ⇒ new value = $ 1,000 / 2 = $500
3) Total value of the investments after the change of the values: $2,500 + $ 500 = $ 2,500.
4) Return on investment = benefit / investment
5) benefit = new value - investment = $2,500 - $2000 = $ 500
6) Return on investment = $500 / $2,000 = 0.25
Which you can also represent in percent form: 0.25 = 25%.
how to factor polynomial
u^2+uv+v^2
Answers
however, if you perhaps mistyped and meant u² + 2uv + v², you would be able to factor it into (u + v)(u + v).
Jina's earnings vary directly with the number of hours she works. Suppose that she worked 8 hours yesterday and earned $88 . How much will she earn today if she works 11 hours?
Answers
1 hours $11.
11 hours $121.
Which of the following measurements is the most accurate for a pellet with a mass of 3.25 grams?
a.
3 grams
b.
3.20 grams
c.
3.27 grams
d.
3.50 gram
Answers
it s near 3.25
answer is c
Answer:
the nearest value of the mass is 3.27 grams
it s near 3.25
answer is c
Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species B is 10 cm tall and grows 3 cm per month. Which system of equations models the height of each species H(m) as a function of months m.
H(m ) = 12 + 2m
H(m ) = 3 + 10m
H(m ) = 2 + 12m
H(m ) = 3 + 10m
H(m ) = 12 + 2m
H(m ) = 10 + 3m
H(m ) = 2 + 12m
H(m ) = 10 + 3m
Answers
Second one has initial height of 10 cm and grows 3cm per month which can be written as 3m + 10
Now we just have to find those expressions in offered equations to find answer.
We can see that system of equations is:
H(m) = 12 + 2m
H(m) = 10 + 3m
or third pair.
How do you find the perimeter and area?
Answers
Area - depends on geometric shape, a lot of formulas. All about multiplication.
A graduate student is studying bacteria known to have a growth rate of 15% per day. If the population of a bacterial sample is currently 29,000 bacteria, then how many bacteria will there be in 3 days?
Answers
The population of bacteria in 3 days will be approximately 44,503 bacteria.
Explanation:To calculate the future population of bacteria, we can use the formula P = P0(1+r)t, where P0 is the initial population, r is the growth rate, and t is the time in days. In this case, P0 is 29,000 bacteria, r is 15% or 0.15, and t is 3 days. Plugging in these values, we get:
P = 29000(1+0.15)3
Calculating this expression, we find that P is approximately 44,503 bacteria
Final answer:
The population of bacteria will be approximately 44,076 in 3 days, given an initial population of 29,000 and a growth rate of 15% per day.
Explanation:
To calculate the population of bacteria in 3 days, we need to use the formula:
P = P0 * (1 + r)^t
Where P is the final population, P0 is the initial population, r is the growth rate per day (expressed as a decimal), and t is the time in days.
In this case, the initial population is 29,000 and the growth rate is 15% per day (0.15). Plugging these values into the formula, we get:
P = 29,000 * (1 + 0.15)³
Simplifying the equation gives:
P = 29,000 * 1.15³
P = 29,000 * 1.520875
P ≈ 44,076
Therefore, there will be approximately 44,076 bacteria in 3 days.
describe how to find the number of $4 train tickets you can buy with $32.
Answers
Answer is 8 train tickets
Is the system of equations is consistent, consistent and coincident, or inconsistent?
y=−3x+12y=−6x+2
Answers
The system of equations given is y=-3x+12 and y=-6x+2. Comparing their slopes and y-intercepts, the slopes are different and the y-intercepts are different too. Hence, the system is consistent.
Explanation:The system of equations given is y=-3x+12 and y=-6x+2. To determine whether these equations are inconsistent, consistent, or consistently coincident, we must compare their slopes and y-intercepts. If the slopes are the same (-3 and -6 are not similar) and the y-intercepts are different (12 and 2 are not equal), then the system is inconsistent. If the slopes and the y-intercepts are identical, then the system is consistent and coincident. Otherwise, if the slopes are different, which is the case in this scenario, the system is consistent.
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write an equation in point-slope form for the line through the given point with the given slope.
(8,3);m=6
a. y+3=6(x-8)
b. y-3=6(x-8)
c. y-3=6(x+8)
d. y+3=6(x+8)
Answers
[tex]y - y_0 = m(x-x_0)[/tex]
x0 = 8 , y0 = 3
[tex]y - 3 = 6(x-8)[/tex]
A customer is withdrawing $890 and wants as many $50 bills as possible. How many $50 bills should the Teller give her?
Answers
Which of the following best represents the average speed of a fast runner?
10 meters per second
10 miles per minute
10 centimeters per hour
10 kilometers per second
Answers
Here's why:
10 miles per minute is 600mph
10 centimeters per hour is
0.000062mph
10 kilometers per hour is 22369mph
Answer:
D
Step-by-step explanation:
kilo is faster than meters
A survey was given and here are the results "Number responding less than 1 week"
Gender - X N
Males - 71 411
Females - 64 253
a) Construct a 95% confidence interval for the difference in the proportions of males and females at this university. Who would respond less than one week?
b) does there appear to be evidence of a difference in the proportions of men and women at this university who would respond less than 1 week. Provide statistical justification
Answers
p1 = 64/253 = 0.2530
(p1 - p2) = 0.2530 - 0.1727 = 0.0803
SE = sqrt{[p1(1 - p1)/n1] + [p2(1 - p2)/n2]} = sqrt{[0.2530(1 - 0.2530)/253] + [0.1727(1 - 0.1727)/411]} = sqrt(0.000747 + 0.0003476) = sqrt(0.001095) = 0.0331
Therefore, 95% confidence interval for the difference in the proportions of males and females at this university who would respond less than one week = (p1 - p2) + or - 1.96(SE) = 0.0803 + or - 1.96(0.0331) = 0.0803 - 0.0648 to 0.0803 + 0.0648 = 0.0155 to 0.1451
b.) Yes.
given ab/bc = fe/ed find ac
Answers
Then you cancel out a on the left side of the equation by multiplying both sides by 1/a which then gives you c = f/ad.
Hope this helps!
Which inequality models this problem?
The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible value for the width?
A.
2w + 2 • (5w) ≤ 96
B.
2w + 2 • (5w) ≥ 96
C.
2w + 2 • (5w) < 96
D.
2w + 2 • (5w) > 96
Answers
A.
2w + 2 • (5w) ≤ 96
because
the value of 2w + 2L is
is at most 96 centimeters, it means 2w + 2L ≤ 96
Answer:the answer is A
Step-by-step explanation:took the test and got it right
Phil gets a commission of 25% on all sales. He sold $1500.00 worth of goods. What was the amount of his paycheck?
Answers
1500 x 0.25 = 375.00
Hope this is what you were looking for
375.00
Good luck on your quiz
What are all the factor pairs for 30?
Answers
the number 5 number 3 and 2
2x + 7y + 3x − 4y simplify
Answers
X(2+3)+y(7-4)
X.5+y.3
5x+3y
Multiply (2 – 7i)(9 + 5i)
Answers
To multiply complex numbers, use the distributive property and combine like terms.
Explanation:To multiply (2 - 7i)(9 + 5i), you can use the distributive property. Multiply the first terms, then multiply the outer terms, the inner terms, and finally the last terms. Then combine the like terms and simplify.
(2 - 7i)(9 + 5i) = 2 * 9 + 2 * 5i - 7i * 9 - 7i * 5i
= 18 + 10i - 63i - 35i²
= 18 + 10i - 63i + 35
= 53 - 53i
So, (2 - 7i)(9 + 5i) = 53 - 53i
Nam has a beginning balance of $815 in her checking account. She writes a check for $210 and has a debit transaction of $525. What is her new balance?
$125
$80
$1550
$120
Answers
Answer:the answer is ($80)
Step-by-step explanation:i took the test on k12 online school
plz give me bianleast it helps oh lot thank you
Initially, Heather has $125 in her savings account. At the end of each week, she deposits $25 into her account.
What is a explicit rule for amount of money Heather has after n weeks?