The calculated length of the segment AD is 14
How to determine the length of the segment ADFrom the question, we have the following parameters that can be used in our computation:
B is the midpoint of AC
BD = 9 and BC = 5
Using the above as a guide, we have the following:
AB = BC = 5
CD = BD - BC
So, we have
CD = 9 - 5
Evaluate
CD = 4
So, we have
AD = AB + BC + CD
substitute the known values in the above equation, so, we have the following representation
AD = 5 + 5 + 4
Evaluate
AD = 14
Hence, the length of the segment AD is 14
Read more about line segments at
https://brainly.com/question/24778489
#SPJ1
The students who returned their signed envelopes were able to wear jeans onFriday. If there are 580 7th graders, and 1/8 brought back their envelopes, howmany students were able to wear jeans on Friday?
The students who returned their signed envelopes were able to wear jeans on
Friday. If there are 580 7th graders, and 1/8 brought back their envelopes, how
many students were able to wear jeans on Friday?
we have that
Multiply 580 by 1/8
so
580(1/8)=72.5
therefore
the answer is
72 studentsA playground is in the shape of a rectangle. The length of the rectangle is three times its width. The area of the playground is 19,500 square feet. What is the length of the playground? Round to the nearest foot. Hint: use A=LW
The length of the rectangular playground is 241.86 foot.
How to calculate length of the rectangle?Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.
Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.
Calculation:A=LW
As given A= 19,500 sq.ft and considering L=3W,
19,500 = 3W*W
19,500 = 3W^2
∴ W^2 = 6500
∴ W = \(\sqrt{6500}\)
∴ W = 80.6225 ft. ≈ 80.62 ft.
Now putting the value W = 80.62 in equation L =3W,
L = 3* 80.62
L = 241.86 ft.
The length of the rectangular playground is 241.86 foot.
To know more about calculation of length of rectangle, check out:
https://brainly.com/question/2607596
#SPJ4
Two of the angles in a triangle measure 1 degree and 5 degrees.what is the measure of the third angle?
Answer:
174
Step-by-step explanation:
All 3 angles in a triangle add up to 180.
So we are given 2 angles and we need to find angle 3. I am going to call the missing 3rd angle 'x'.
1 + 5 + x = 180.
Solve for x
6 + x = 180
Subtract 6 from both sides
x = 174
Find the exact value of sec(theta) if cot(theta)= -1/2 and the terminal side of theta lies in quadrant ii.
a. sec(theta)= -sqrt(5)/2
b. sec(theta)= sqrt(t)/2
c. sec(theta)= -sqrt(5)
d. sec(theta)= sqrt(5)
Using trigonometric identities, it is found that the exact value of the secant of the angle is given by:
c. \(\sec{\theta} = - \sqrt{5}\)
How is the tangent related to the secant?According to the following identity:
\(\sec^2{\theta} = 1 + \tan^2{\theta}\)
The tangent is the inverse of the cotangent, hence in this problem, we have that:
\(\tan{\theta} = -2\)
Then, the secant is given as follows:
\(\sec^2{\theta} = 1 + (-2)^2\)
\(\sec^2{\theta} = 5\)
\(\sec{\theta} = \pm \sqrt{5}\)
The angle is in the second quadrant, where the cosine is negative, hence the secant also is and option c is correct, that is:
c. \(\sec{\theta} = - \sqrt{5}\)
More can be learned about trigonometric identities at https://brainly.com/question/24496175
#SPJ1
trigonometry and trigonometric functions
Answer:
The trigonometric functions include the following 6 functions: sine, cosine, tangent, cotangent, secant, and cosecant. For each of these functions, there is an inverse trigonometric function. The trigonometric functions can be defined using the unit circle.
Step-by-step explanation:
Describe shock ads then provide an example of a shock ad, which
you feel is effective.
Shock advertisement are a type of advertising strategy that aims to provoke strong emotional responses from viewers by presenting controversial, shocking, or disturbing content.
An example of a shock add is Poking fun at events
What are shock advertisement?By displaying content that is debatable, surprising, or upsetting, shock advertisement try to elicit strong emotional reactions from their target audience.
The goals of shock advertisements are to draw attention, leave a lasting impression, and elicit conversation about the good or message they are promoting.
These commercials frequently defy accepted norms, step outside of the box, and employ vivid imagery or provocative storytelling approaches.
Learn more about advertising at: https://brainly.com/question/1020696
#SPJ1
how much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is 47 degrees f? (round your answer to 2 decimal places.)
The amount of natural gas that homeowners can expect to use per month is influenced by various factors, including insulation levels and outdoor temperature.
However, without additional information or an established relationship between these factors, it is not possible to provide a precise estimate.
Insulation levels and outdoor temperature are just a few of the many factors that affect natural gas usage.
Other factors such as the size and efficiency of the heating system, the size and layout of the home, the insulation of walls and windows, and individual usage patterns can significantly impact gas consumption.
To obtain a more accurate estimate, it is recommended to consult energy professionals, utility companies, or use energy consumption calculators specifically designed for estimating natural gas usage based on multiple variables.
These tools take into account various factors to provide a more accurate estimation of monthly natural gas consumption.
To know more about natural gas refer here:
https://brainly.com/question/12200462#
#SPJ11
Mandy is selling pancakes and waffles at her diner. On Monday she sold a total of 300 pancakes and waffles. If she charges $3 per pancake, $1 per waffle, and made a total of $800, how many pancakes did she sell? Waffles?
Answer:
Mandy sold 250 pancakes and 50 waffles.
Step-by-step explanation:
From the information given, you can say that the sum of pancakes and waffles is equal to 300:
x+y=300
Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:
3x+y=800
You have the following equations:
x+y=300 (1)
3x+y=800 (2), where:
x is the number of pancakes she sold
y is the number of waffles she sold
Now, you can solve for x in (1):
x=300-y (3)
Then, you can replace (3) in (2):
3(300-y)+y=800
900-3y+y=800
900-800=2y
100=2y
y=100/2
y=50
Finally, you can replace the value of y in (3) to find x:
x=300-50
x=250
According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.
ABCD is a parallelogram
CE=CF
Prove that y=x
Step-by-step explanation:
ABCD:-
CE=CF
Prove:y=x
y=x (x is opposite to y)
x=y
Hence,x=y and y=x.
Write the equation of a line that goes through (4,3) and has a slope of m=2
Answer:
y = 2x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, then
y = 2x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = 8 + c ⇒ c = 3 - 8 = - 5
y = 2x - 5 ← equation of line
which of the following sets of numbers could represent sides of a triangle?
Answer:
Hey mate...
Step-by-step explanation:
This is ur answer.....
The sum of the lengths of any two sides of a triangle must be greater than the third side. (a)(8,11,19)⇒8+11 not greater than 19 , (N.G.) (d)(13,4,8)⇒4+8<13 , (NG). Hence, option (b) is the only answer.
Hope it helps!
Brainliest pls!
Follow me! :)
The Statue of Liberty weighs about 2.04 x 10 to the power of 5 kg. The Washington Monument weighs about 9.07 x 10 to the power of 7 kg. About how many more kilograms does the Washington Monument weigh than the Statue of Liberty?
Need This answered ASAP
Answer:
44460 times more probably
Step-by-step explanation:
by diving those two numbers
Answer:
the answer is D
Step-by-step explanation:
have a good day!
For what value of x is AABC - ADEF?
HELP PLEASE!!
Answer:
A) x = 12
Step-by-step explanation:
4x-6 = 42
4 = 48
x = 12
7x+10 = 94
7x = 82
x = 12
Jackie's register shows a debit card payment on 10/4 in the amount of $158.45, an ATM
withdrawal on 10/5 in the amount of $40.00, and a deposit on 10/9 in the amount of $521 48
What should the balance be in Jackie's register? Use this bank statement,
Account Number 0024124821
Beginning Balance
$742.05
Total Deposits
$588.44
Statement period: 9/2/2013 to 10/3/2013
Total Withdrawals Ending Balance
$72598
500451
Ref #
390
391
Date
9/4
917
9/13
9/20
9/28
10/3
Description
Check
Check
ATM - Super Mall
Deposit
Auto Pay - Electric Company
Check
Debits (-) Credits (+)
154 14
215.74
140.00
588 44
164 58
51.52
Balance
587 91
372.17
232.17
820.61
666.03
604 51
392
$927.54
Answer:
$1065.08
Step-by-step explanation:
Given the following from the question
Beginning balance = $742.05
Total deposits = $521 48
Credit amount in the bank= $742.05+$521 48
Credit amount in the bank = $1,263.53
Debits
Debit card payment = $158.45
Withdrawal on 10/5 = $40.0
Total debit = $198.45
Balance in Jackie's register = $1,263.53-$198.45
Balance in Jackie's register = $1065.08
Answer:
The answer actually is 927.54
Step-by-step explanation:
Find the perimeter of the figure
Answer:
82in
Step-by-step explanation:
brainliest?
A parcel delivery service has contracted you to design a closed box with a square base that has a volume of 8500 cubic inches.
A) Express the surface area of the box as a function of X
B) Graph the function found in part a .
C) What is the minimum amount of cardboard that can be used to construct the box.
D) What are the dimensions of the box that minimize the surface area.
E) why might UPS be interested in designing a box that minimize the surface area.
A) Let the side length of the square base be x, and the height of the box be h. Then, the volume of the box is given by:
V = \(x^2\) * h = 8500
Solving for h, we get:
h = 8500 / \(x^2\)
The surface area of the box can be expressed as:
S = 2x^2 + 4xh
Substituting the value of h obtained above, we get:
S = \(2x^2\) + 4x(8500 / \(x^2\)) = 2\(x^2\)+ 34000 / x
Thus, the surface area of the box can be expressed as a function of x.
B) To graph the function, plot the surface area (S) on the y-axis and the side length of the square base (x) on the x-axis. Since x cannot be negative, the domain of the function is (0, infinity). As x gets very large or very small, the surface area approaches infinity, so we should only graph the function for values of x that make sense in the context of the problem.
C) The minimum amount of cardboard required to construct the box is equal to the surface area of the box. To find the minimum surface area, we need to find the minimum of the function S(x) obtained in part A.
D) To find the dimensions of the box that minimize the surface area, we need to find the value of x that minimizes the function S(x). We can do this by taking the derivative of S(x) with respect to x, setting it equal to zero, and solving for x. This gives us:
dS/dx = 4x - 34000/\(x^2\) = 0
Multiplying both sides by \(x^2\) and solving for x, we get:
x = (8500/2\()^(1/3)\) ≈ 18.3
Therefore, the dimensions of the box that minimize the surface area are a square base with side length of approximately 18.3 inches, and a height of:
h = 8500 / \(x^2\) ≈ 26.2 inches
E) UPS might be interested in designing a box that minimizes the surface area because it can reduce the amount of cardboard used in each box, resulting in cost savings and a reduced environmental impact. Additionally, minimizing the surface area of a box can make it more efficient to stack and transport, reducing shipping costs and making the overall process more sustainable.
Learn more about square base,
https://brainly.com/question/3028557
#SPJ4
A) The Surface Area = \(X^2 + 34000/X\)
B) The y-axis and the side length X on the x-axis.
C) The minimum amount of cardboard required to construct the box is approximately 1649.39 square inches.
D) The dimensions of the box that minimize the surface area are X = 20.5 inches and Y = 16.87 inches.
E) Smaller boxes take up less space in delivery trucks and planes, allowing more packages to be shipped at once and reducing transportation costs.
A) Express the surface area of the box as a function of X:
Let the side length of the square base be X and the height of the box be Y. Then, we know that the volume of the box is 8500 cubic inches, so:
\(X^{2Y} = 8500\)
To find the surface area of the box, we need to add up the area of each face. There are 5 faces in total (the bottom square and 4 identical rectangular sides), so:
Surface Area = \(X^2 + 4XY\)
We can substitute the value of Y from the equation for volume, giving:
Surface Area = \(X^2 + 4X(8500/X^2)\)
Surface Area = \(X^2 + 34000/X\)
B) Graph the function found in part a:
To graph this function, we can plot the surface area on the y-axis and the side length X on the x-axis. The graph will have a minimum value, which we can find using calculus or by using a graphing calculator.
C) What is the minimum amount of cardboard that can be used to construct the box:
The minimum amount of cardboard required to construct the box is the surface area of the box. To find this minimum value, we need to find the minimum point on the graph in part b. From the graph or by using calculus, we can see that the minimum occurs at X = sqrt(8500/5) = 20.5 inches. Substituting this value into the equation for surface area, we get:
Surface Area = \(20.5^2 + 4(20.5)(8500/20.5^2)\)= 1649.39 square inches
D) What are the dimensions of the box that minimize the surface area:
From part c, we know that the minimum occurs at X = sqrt(8500/5) = 20.5 inches. To find the height of the box, we can substitute this value of X into the equation for volume:
\(X^2Y = 8500\)
\((20.5)^2 Y = 8500\)
\(Y = 8500/(20.5)^2 = 16.87\) inches
E) Why might UPS be interested in designing a box that minimizes the surface area:
UPS and other parcel delivery services are always looking for ways to reduce their costs and increase efficiency. By designing a box that minimizes the surface area while still containing the same volume of goods, they can reduce the amount of cardboard used for each shipment. This would save them money on materials and shipping costs, while also reducing their environmental impact. Additionally, smaller boxes take up less space in delivery trucks and planes, allowing more packages to be shipped at once and reducing transportation costs.
for such more questions on surface area
https://brainly.com/question/26403859
#SPJ11
Refrigerators in a random sample of 60 refrigerators, the mean repair cost was $150. 00 and the standard deviation was $15. 50. Construct a 99% confidence interval for the population mean repair cost. Interpret the results
Mean repair cost of 60 samples, 99% may lie (144.8373, 155.1626) i-e 1% may fall outside of this confidence Interval.
X: Repair the cost of refrigerators.
Given that,
X=N(μ, σ²)
where X is the mean cost
then x= $150
σ = $15.50
n = random sample size = 60
100 (1-α)% C.I. is given by
X-\(Z_{\alpha /2}\)×σ/√n, X+\(Z_{\alpha /2}\)×σ/√n,
100 (1-α)% = 99%
α= 0.01
99% confidence interval is
= 150-(2.58 x 15.50/√60)+150+ (2.58 x 15.50/√60)
= (144.8373, 155.1626)
i.e. mean repair cost of 60 samples. 99% may lie (144.8373, 155.1626) i-e 1% may fall outside of this confidence interval.
To learn more about statistics and probability,
https://brainly.com/question/23091366
#SPJ4
It costs the class $203.00 to purchase 29 tickets for a performance at the Orpheum. Write an equation that can be used to find the total cost (c) for any number of tickets (t) they would buy.
Answer:
c=29÷203.
Step-by-step explanation:
i think that might be what you want. pretty sure there's a better way to wright it though.
What is the angle between vectors u = <5, -2, 4> and v=<4, 6, 2> ? (rounded to the nearest degree)1º359°10°71°
The formula is;
\(\begin{gathered} u.v=\lvert{u\lvert{}\rvert v}\rvert cos\theta \\ \end{gathered}\)\(\begin{gathered} u.v=5(4)+(-2)(6)+4(2) \\ u.v=16 \end{gathered}\)\(\begin{gathered} \lvert{u}\rvert=\sqrt{(5^2+-2^2+4^2)}\text{ } \\ \lvert{u=\sqrt{45}}\rvert \end{gathered}\)\(\begin{gathered} \lvert{v}\rvert=\sqrt{4^2+6^2+2^2} \\ \lvert{v}\rvert=\sqrt{56} \end{gathered}\)\(16=\sqrt{45}X\sqrt{56}\text{ }cos\theta\text{ }\)\(\cos\theta=\frac{16}{\sqrt{45}X\sqrt{56}}=\frac{16}{50.1996}=0.3187\)\(\theta=\cos^{-1}(0.3187)=\text{ 71}\degree\)θ = 71°
PLEASE HELP I’LL PROMISE TO GIVE BRAINLESSNESS
Flushing Meadows park has a very large circular pond as part of the center where their biggest attraction, the globe, is located. The pond needs to be renovated by summer. The pond is 400 feet wide. . Use the Math Toolbox to help you answer each of the questions below:
Area: r2 Circumference: 2πr OR πd Radius: d2 Diameter:2r
1a) If the designer measures the pond and determines that the length of the pond across is 400 feet wide, what is the length of the radius? Show your work.
b) The designer wants to plant new flowers around the pond. How many feet of flowers would she need to plant in this new design? Round to the nearest hundredth. Show your work.
c) The designer wants to determine how much water is covered on the surface once the pond is filled up. She claims that the area would be 160,000 square feet. Is she correct? Justify your answer showing work
Answer:
a) If the diameter is 400 feet wide, then the radius is half that, which is 200 feet wide.
b) The circumfernce is π times the diameter, which is 400 feet. 400×π≈1256.64
c) She is not correct. She squared 400, which is 160000, when she should have squared 200, which is 40000. Then, multiply by π.
40000 × π ≈ 125663.7
What is the simplified value of the expression m/n if m=4/5 and n= −0.25
Answer:
The simplified value of the expression m/n if m=4/5 and n= −0.25 is -16.
Step-by-step explanation:
GIVE ME BRAINLEST!!!!!!!!!!!!!!!!!!!
Find the area of a circle whose radius is 2.5cm
Answer:
19.6349540849
Step-by-step explanation:
π × 2.5^2 = 19.6349540849
240 V, and require special electrical lines. If a stove requires 2,929 W to operate and normally uses 240 V, how much power would the stove actually get if it was run on 120 V ?
If the stove is run on 120 V instead of 240 V, it would receive approximately 61.02 W of power.
To determine the power the stove would receive if it was run on 120 V instead of the normal 240 V, we can use the relationship between power, voltage, and current.
The power equation is given by:
P = V * I
Where:
P is the power (in watts)
V is the voltage (in volts)
I is the current (in amperes)
We can rearrange the equation to solve for the current:
I = P / V
Given that the stove requires 2,929 W to operate at 240 V, we can calculate the current at 240 V:
I1 = 2929 W / 240 V
Next, we can calculate the power at 120 V using the current at 240 V:
P2 = V2 * I1
Where:
V2 is the new voltage (120 V)
I1 is the current at 240 V
Substituting the values:
P2 = 120 V * (2929 W / 240 V)
Simplifying:
P2 = 14645 W / 240
Calculating the value:
P2 ≈ 61.02 W
Therefore, if the stove is run on 120 V instead of 240 V, it would receive approximately 61.02 W of power.
To know more about voltage, visit:
https://brainly.com/question/32002804
#SPJ11
which choice is equvalent to the expression below 5^9.96
a. 5^9 • 5^96/10 • 5^9/100
b. 5^9•5^9/10•5^6/100•5^9/1000
c. 5^9+5^9/10+6^6/100
d. 5^9+9/10+9/10+6/1000
Answer:
B
Step-by-step explanation:
5^9•5^9/10•5^6/100•5^9/1000 = 5^(9+0.9+0.06+0.009) = 5^9.969
9) What two operations are needed to solve 2x - 4 = 16?
a. Addition & division
b. Addition & subtraction
c.Multiplication & subtraction
Answer:
a. Addition & division
Step-by-step explanation:
2x - 4 = 16 (adding 4 to both sides)
2x = 16 + 4
2x = 20 (dividing both sides by 2)
x = 20/2 = 10
Hence we can see that the two operations are addition and then division
To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $1 for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. What is the probability that a person with one combination of five numbers will win
Using the combination formula, the probability that a person with one combination of five numbers will win is:
\(\frac{1}{1,221,759}\)
What is the combination formula?\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
For this problem, 5 numbers are taken from a set of 45, hence the number of combinations is:
\(C_{45,5} = \frac{45!}{5!40!} = 1,221,759\)
Hence the probability is:
\(\frac{1}{1,221,759}\)
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
I need to know the answer
Solve the problem.
The area of a rectangle is 30m2 - 20m - 10. Find the length if the width is 5m - 5.
The length of the rectangle is 6m - 2.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Area = 30m² - 20m - 10
Width = 5m - 5
Now,
Area = Length x Width
30m² - 20m - 10 = Length x (5m - 5)
10(3m² - 2m - 1) = Length x (5m - 5)
10(3m² - (3 - 1)m - 1 = Length x (5m - 5)
10 (3m² - 3m + m - 1) = Length x (5m - 5)
10 (3m(m - 1) + 1(m - 1)) = Length x (5m - 5)
10 (3m + 1)(m - 1) = Length x 5(m - 1)
(m - 1) gets canceled.
10(3m - 1) = Length x 5
2(3m - 1) = Length
Length = 6m - 2
Thus,
6m - 2 is the length of the rectangle.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ1
I need help, please ASAP. The photo is attached down below.
Enter the correct answer in the box. The graph shows function j, a transformation of f(x)= x^1/2
The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is \(j(x)= (x+2)^{1/2}\) .
As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as \(j(x)= (x+2)^{1/2}\) where the domain of j is all real numbers greater then or equal to -2.
Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is \(j(x)= (x+2)^{1/2}\) .
Learn more about the transformation of the function here:
https://brainly.com/question/26896273
#SPJ1
In the question the graph is missing, a graph has been added on behalf of the incomplete question.