Answers
Answer:
3 pieces
Step-by-step explanation:
Given: Figure
To find: Number of 8.5 in. × 11 in. pieces used to cover the floors of a room and a hallway in her dollhouse
Solution:
In the given figure, AC = 22 in.
AB + BC = 22 in.
AB + EF = 22 (As BC = EF being opposite sides of rectangle)
AB + 10 = 22
AB = 22 - 10 = 12 in.
Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches
(area of rectangle = length × breadth )
CE = CD + DE = AH + GF (As CD = AH and DE = GF)
CE = 5 + 15 = 20 inches
Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches
(BC = EF = 10 in.)
Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches
Area of pieces of felt = 8.5 × 11
So,
Number of pieces required = Total area of the figure / Area of pieces of felt = 3 pieces
Related Questions
Solve the following linear inequalities given in the first column and choose the appropriate results
Answers
Solution 1
7(g - 19) ≥ -14
7g - 133 ≥ -14
7g ≥ -14 + 133
7g ≥ 119
g ≥ 17
Solution 2
3(7g+17) > -19 + 14g
21g + 51 > -19 + 14g
21g - 14g > -19 -51
7g > -70
g > -10
Solution 3
6(-6g + 6) > -2(19g - 17)
-36g +36 > -38g + 34
-36g + 38g > 34 - 36
2g > -2
g > -1
Which of the following is true about a "cumulative ACK witha sequence number M in the Go-Back-N protocol) A When received by the sender, it retransmits all da packets in the window up to sequence number M When received by the sender, it slides its window by b When sent by the receiver, all packets up to sequer number M were correctly received and delivered D. Both (B) and (C) B. C. 11. The function that is not a cause of extra overhead of routers used to forward IPv4 datagrams is: A. The datagram header checksum B. The datagram fragmentation C. The datagram options D. The datagram reassembly 12. In the Selective-Repeat protocol, if the timer expires, A. All packets in the window are retransmitted and t is restarted B The packet, for which the timer has exp retransmitted immediately and its timeout in Part 1: (20 points, I point each) Choose the best answer for each of the following multiple-choice questions 1. Which of the following Internet transport-layer services provide error checking" A. TCP B. UDP C Neither TCP nor UDP D. Both TCP and UDP 2. The type of delay that is not caused by the store-and-forward strategy used by the switching devices is: A. The processing delay B. The queuing delay C. The transmission delay D. The propagation delay 3. In a statistical multiplexed system, if the average queuing delay is very close to zero, then: A. The system is very well-engineered B. The traffic intensity is greater than 50% C. The system resources are inefficiently utilized D. None of the above
Answers
TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.
TCP provides error checking to ensure reliable data delivery, making option A the correct answer.
The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.
The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.
Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
3. The correct answer is A. The system is very well-engineered.
In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.
Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.
When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.
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Determine the no-arbitrage price today of a 5 year $1,000 US
Treasury note with a coupon rate of 2% and a YTM of 4.25% (APR) (to
the penny)
A. $739.65
B. $900.53
C. $819.76
D. $89
Answers
The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.
To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.
Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,
where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.
Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.
Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.
Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.
Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.
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Determine the measure of CEB and then m Need asap!!
Answers
The two tangent angle theorem indicates that where the measure of the arc EB is 150° then we get;
The measure of the arc CEB = 210°
The measure of the angle m∠CDB = 30°
What is the two tangent angle theorem?The two tangent angle theorem states that the angle formed at the intersection point of two tangent to a circle is half the difference of the measure of the intercepted arc.
The two tangent angle theorem indicates that the measure of the angle m∠CDB = (m\(\widehat{CEB}\) - m\(\widehat{CB}\))/2
The measure of the arc m\(\widehat{CEB}\) = 360° - 150° = 210°
Therefore; m∠CDB = (m\(\widehat{CEB}\) - m\(\widehat{CB}\))/2
m∠CDB = (210° - 150°)/2 = 30°
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can anyone find the value of b?
Answers
Answer:
\(b=56\)
Step-by-step explanation:
Angles in a straight line add up to 180°.
\(180-99\)
\(=81\)
Angles in a triangle add up to 180°.
\(180-81-43=b\)
\(56=b\)
Answer:
b=56
Step-by-step explanation:
first angle is 43
second angle is 180-99=81
the sum of angles of triangle= 180
b+43+81=180
b=180-124=56
Miguel is making trail mix. He uses 513 ounces of nuts and 234 ounces of raisins. Which of these is a reasonable estimate for how many more ounces of nuts than raisins Miguel uses?
Answers
Answer:
2.58 more nuts Miguel uses than raisins
Hope this helps!
solve the equation
pic:
Answers
The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891
How to solve the equationFrom the question, we have the following parameters that can be used in our computation:
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)
Using the following trigonometry ratio
sin²(x) + cos²(x) = 1
We have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)
The sum to infinity of a geometric series is
S = a/(1 - r)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)
Evaluate the sum
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)
This gives
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)
Hence, the solution to the equation is 10.3891
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...................................
Answers
Answer:
,................................
Step-by-step explanation:
.......................
an airplane descends 2.2 miles to an elevation of 5.95 miles. find the elevation of the plane before its descent.
Answers
Answer:
8.15 miles
Step-by-step explanation:
5.95+2.2=8.15
Analia wants to know which school has higher academic achievements relative to the number of teachers per student.
1) analia thought of two different ways to define this quantity. identify these two definitions among the following options.
Answers
There are two different quantities that Analia thought to measure which school has higher academic performance are :
Graduation rate / Budget per student
SAT average / Budget per student
In other to explain the quantity that measures academic achievement.
We should take the ratio of a related metric or the parameter which is used to measure the academic performance of the student in each school and the budget of every student in each school.
There are some parameters that are used to measure academic achievement ;
1. The graduation rate of each school.
2. The SAT average of each school.
Therefore, the quantity to measure academic achievement relative to budget per student is expressed as:
Graduation rate / Budget per student
SAT average / Budget per student.
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The graph of the function g(x) is a transformation of the parent function f(x)=x^2.
Which equation describes the function g?
A) g(x)=x2−4
B) g(x)=x2+4
C) g(x)=(x−4)2
D) g(x)=(x+4)2
Answers
Meg is a veterinarian. She found that 3, or 50%, of the dogs she saw this week were boxers. Steve
is also a veterinarian. He found that 4 of the 20 dogs he saw this week were boxers. Does each
person need to find the part, the whole, or the percent?
Answers
Answer:
fhjunghkolghjkolipjhbvghkli
5(x + y) what is tje anser
Answers
Use the distributive property:
5(x + y) becomes 5x + 5y
with the information provided in the question that is as much as can be done.
answer: 5x + 5y
Multiply 5 by x and 5 by y
You can’t add them because they are not like terms
So the answer is
5x+5y
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on
their shelf. The volume of the box is 10,000 cm3. The base of the box is 25 cm by 10 cm.
How tall is the box of cereal?
am
Answers
Answer:
40cm
Step-by-step explanation:
A box is normally in the shape of a cube
formula of volume of a cube;
We want to find the height(tallness)
Volume=LengthxWidthxHeight
10000=25x10xHeight
10000=250H. (divide both side by 250 to remain with H only)
10000/250=250H/250
40cm=Height
What does SSS and SAS mean?
Answers
SSS and SAS are congruence theorems of triangles.
What are congruent triangles?
Congruent triangles are triangles that have the same size and shape. In other words, if you were to superimpose one triangle on top of the other, the two triangles would fit perfectly together, with all of the sides and angles being equal in measure.
Side-Side-Side (SSS) Congruence Theorem: If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Side-Angle-Side (SAS) Congruence Theorem: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Hence, SSS and SAS are congruence theorems of triangles.
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Find the mean for n = 200 and p = 0.24 when the conditions for the binomial distribution are met.
Answers
The mean value of expected value for a binomial distribution is given by the next formula:
\(\mu_x=n\cdot p\)Where n is the number of trials and p is the probability of success. So, using the given data:
\(\begin{gathered} \mu_x=200\cdot0.24 \\ \mu_x=48 \end{gathered}\)So the expected value or mean is 48
Answer to the question please
Answers
Answer:
it is 40*
Step-by-step explanation:
because you know 1 and 3 is 20*
so that would make 2 and 4 the same
witch is 40*
Answer:
∠ 2 = 160°
Step-by-step explanation:
1 and 2 are adjacent angles and are supplementary, thus
1 + 2 = 180° , that is
20° + 2 = 180° ( subtract 20° from both sides )
A = 160°
Find the value of x, y and z
Answers
The measure of angle x, y and w in the parallelogram are 127 degrees, 53 degrees and 53 degrees respectively.
What is the value of angle x, y and z?The figure in the image is that of a parallelogram.
First, we determine the value angle w:
Note that: sum of angles on straight line equal 180 degrees.
Hence:
w + 53 = 180
w + 53 - 53 = 180 - 53
w = 180 - 53
w = 127°
Also note that: opposite angles of parallelogram are equal and consecutive angles in a parallelogram are supplementary.
Hence:
Angle w = angle x
127° = x
x = 127°
Since consecutive angles in a parallelogram are supplementary.
x + y = 180
127 + y = 180
y = 180 - 127
y = 53°
Opposite angle of parallelogram are equal:
Angle y = angle z
53 = z
z = 53°
Therefore, the measure of angle z is 53 degrees.
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HEELPG HLOHEHEO HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer: A
Step-by-step explanation:
adding two circles to the left side would result in square triangle circle circle and if you add a square to the right it would be circle circle triangle square thus balancing it
HELP I WILL GIVE 30 POINTS!
Select all the pairs of quantities that are proportional to each other.
A) radius and diameter of a circle
B) radius and circumference of a circle
C) radius and area of a circle
D) diameter and circumference of a circle
E) diameter and area of a circle
Answers
Answer:
its c
Step-by-step explanation:
easy 23 simple mulitply then add
Quantities that are proportional to each other are,
A) radius and diameter of a circle
B) radius and circumference of a circle
C) radius and area of a circle
D) diameter and circumference of a circle
E) diameter and area of a circle
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
We know the radius of a circle is r and the diameter of a circle is 2r.
We also know that the circumference of a circle is 2πr and the area of a circle is π(r)².
Now the quantities that will be related to each other are the quantities that are together linked in the formula of circumference and area.
∴ Radius and diameter of a circle, Radius, and circumference of a circle, Radius and area of a circle, Diameter and circumference of a circle, and Diameter and area of a circle all are related to each other and are directly proportional.
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A recipe calls for 4 cups of flour and 2 cups of sugar. What is the ratio of flour to sugar in simplest form
Answers
the ratio of flour to sugar is:
flour : sugar= 4 : 2 = 2 : 1
Answer:
2:1, 2 to 1, or 2/1
Step-by-step explanation:
Devide 4 and the two by two and it makes it 2:1
SOMEONE PLEASE HELP MEEEEE
Answers
Answer:
16x^2=49 square root both sides
4x=7
x=7/4
When solving an equation
Rylee gets to the last line
of her work and is left
with "4 = 4".
What does this mean?
Answers
Answer:that 4 equals 4??
Step-by-step explanation:
Find the volume please :)
Answers
Answer:
268.08 cm^3
Step-by-step explanation:
the formula for the volume of a sphere is 4/3*pi*r^3 where r is the radius.
so put in the value 4/3*pi*4^3
4/3*pi*64
=268.08 cm^3
Answer:
268 cm^3
Step-by-step explanation:
Volume of sphere is \(\frac{4}{3} \pi r^3\)
so(assuming pi is 3.14) \(\frac{4}{3}*3.14(\pi )*4^3\)
4/3*3.14=4.187
\(4^3=64\)
4.187*64=267.968
So volume would round up to 268 cm.
Hope this helps :)
Han drinks three gallons of iced tea each day. Each gallon of iced tea contains ¾ cups of sugar. How much sugar does Han drink when drinking her iced tea each day?
Answers
Answer:
3 cups of sugar.
Step-by-step explanation:
Han drinks 3/4 of a cup of sugar each day when she drinks iced tea. She drinks 3 gallons, and each contains 3/4. If each contains only 3/4, we will have to multiply 3/4 by 3 gallons to find our answer to this question.
\(\frac{3}{4} = 1 \text{-gallon}\)
So, now we will have to multiply 3/4 by the number 3.
\(\frac{3}{4}\) × \(3\) = \(\frac{12}{4}\)
12/4 is equal to 3, so the answer is 3.
3+(−4)−8−(−1)
can guy help me pls
Answers
Answer:
-10
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find
three angles of the triangle.
Answers
Answer: 49°, 49°, 82°
Step-by-step explanation:
Let x represent the base angles
then 2x - 16 is the vertex angle.
Triangle Sum Theorem states that the sum of the angles is 180°
(x) + (x) + (2x - 16) = 180
4x - 16 = 180
4x = 196
x = 49
Base angles: x = 49
Vertex angle: 2(49) - 16 = 82
Which solutions, if any, do the inequalities -5 (x+4) > 10 and x + 3 < - 7 have in common? Show your work.
Answers
The solution set that satisfies both inequalities is x < -10.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The system of inequalities is given in the question, as follows:
-5 (x+4) > 10 and x + 3 < - 7
-5(x+4) > 10
Distribute the -5:
-5x - 20 > 10
Add 20 to both sides:
-5x > 30
Divide by -5, remembering to flip the inequality sign:
x < -6
So the first inequality is true when x is less than -6.
x + 3 < -7
Subtract 3 from both sides:
x < -10
So the second inequality is true when x is less than -10.
Since both inequalities have the same direction (less than), we just need to take the common region of the two solutions, which is x < -10.
Therefore, the solution set that satisfies both inequalities is x < -10.
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B. locate and plot (square root of)15 on a number line. find a better approximation using decimals.
Answers
The number line for √15 is shown in the figure and the value of √15 is approximately 3.87298.
Number line:
Number line used for visual representation of numbers on a straight line.
Given:
Here we need to locate and plot √15 on a number line.
Steps for the construction:
Step 1) Draw a line AB that is 15 in length, and then add 1 to C so that the distance from A to C is 16.
Step 2) From the midpoint of A C on the line, use your compass and make a half circle from A to C.
Step 3) Draw a vertical line up from B until it touches the red half circle you made in Step 2.
Step 4) From B on the number line, use your compass and make a quarter circle from D to E.
The square root of 15 is the distance from B to E. To make things clearer, we have also created the illustration below showing where B, E, and the square root of 15 are located on the number line, labeled with numbers instead of the half circle, quarter circle and vertical line.
Based on the steps the number line is looks like,
Therefore, The square root of 15 (√15) is approximately 3.87298.
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Please help!! What is the answer? What is the square rout of 88 rounded to the nearest 100th?
Answers
9.38
please don't trust this answer