To find the housing block dimensions, we set up a system of equations based on the total fencing and area given, and then solve for the length and width.
Explanation:The student has asked about finding the dimensions of a housing block where a new fence is constructed on three sides and the total area of the block is 240 m2. Given that 52 m of fencing is used, to determine the dimensions, we need to solve a system of equations derived from the perimeter and area provided.
Let's assume the length of the block is L meters, and the width is W meters. The area of the block (A) can thus be defined as A = L × W. Given that A = 240 m2, we have L × W = 240. Since the fence covers three sides, the total length of fencing used would be L + 2W, which is equal to 52 meters. Therefore, we have L + 2W = 52 meters.
To solve for L and W, we set up the system of equations:
L × W = 240L + 2W = 52From the second equation, we can express L as L = 52 - 2W and then substitute into the first equation to find W. Finally, we can determine the value for L using the found value of W.
Identify the type of sequence AND provide the next 3 terms:
5 , 9, 13, 17…
-1, 2, -4, 8…
8, 1, -6, -13…
What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (4, −3) and has (5, 2) as its vertex. What is the standard form of the equation?
Answer:
y = x² - 10x + 27
Step-by-step explanation:
Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.
For which of the inequalities below is v = 4 a solution? A v + 5 ≥ 9 B v + 5 > 9 C v + 5 < 8 D v + 5 ≤ 8
Tim bought 5 pencils for .25 cents each. he also bought 2 packs of paper for $1.25 each. he paid with a $10.00 bill. how much change could tim receive
Find the approximate circumference of a circle with a radius of 2.6 millimeters. Use = 3.14.
A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will it take him to reach the ground?
1. What is the median of the following set of numbers?
48.4, 47, 43, 47, 43.6, 41.6, 45, 51.4, 38.6
Hint: Order the numbers from least to greatest first!
A. 48.4 B. 43.6 C. 45
2. Each of the five math teachers are comparing the number of students in their homeroom classes. The number of boys and girls in each teachers’ classes are recorded in the table below.
Hint: Mean is the average.
Which statement best describes the means of the two sets of data?
A. The mean number of girls in 7 times greater than the mean numbers of boys in the homeroom classes.
B. The mean number of girls is the same as the mean number of bboys in the homeroom classes.
C. The mean number of girls is 7 more than the mean number of boys in the homeroom classes.
Answer:b
Step-by-step explanation:divided look around the chart
Solve the system using substitution or elimination and describe your steps. Be sure to verify your solution. • x = y - 3 2x + y = 12
Range for the equation 2y=8-4x if the domain is (-2,-1,0,2,5)
What is the percent chance a coin lands on heads with 3 tosses?
A certain arithmetic sequence has the recursive formula an = an-1 + d. If the common difference between the terms of the sequence is -13, what term follows the term that has the value 13?
The angle of depression from point R to point S is angle .
The question involves high school level mathematics, specifically geometry and trigonometry, discussing the angle of depression, cross-sectional area, angles, distances, and congruent triangles.
Explanation:The question relates to the angle of depression and concepts of geometry involving angles and distances. In the context provided, the angle of depression from point R to S is being discussed, but not enough information is given to define the angle. The references to cross-sectional area, small-angle approximation, and congruent triangles touch on topics in geometry and trigonometry that are critical to understanding the properties of shapes, sizes, and angles in mathematical problems.
In the mathematical equations provided, 'S' is used as a variable representing a stress value, with reference to pressure units of N/m², and 'r' represents a radius which is then used to calculate an area. The references to a graph with a slope and 'y = mx + b' appear to relate to linear equations and representations in coordinate geometry.
The descriptions involving angle vector, position vector, arc length vector, and angle of distance between two points separated by an angle further contribute to the idea that this question falls under the Mathematics category, addressing high school level concepts in geometry and trigonometry.
Which expression is equivalent to .02m(n-5)-.02(m+10)
Answer:
thank you
Step-by-step explanation:
please help type the integer that represents the correct answer the absolute value of 7
A card is being drawn from a standard deck of playing cards. Find each probability.
1.P(Jack or ten)
2.P(red or black)
3.P(queen or club)
4.P(red or ace)
5.P(diamond or black)
6.P(face card or spade)
Which of the following describes the probability distribution below?
A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
B.) The mean is greater than the median, and the majority of the data points are to the right of the mean.
C.) The median is greater than the mean, and the majority of the data points are to the left of the mean.
D.) The median is greater than the mean, and the majority of the data points are to the right of the mean.
Answer: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
It is clear that most of the data (around 75%) is consist of value 1, which is the leftmost part of the data. Since it was more than 50% of the data, the median should be 1.
if 75% data is 1, it need 25% data with value at least 5 to make the means equal to 2. The means would be bigger than 1 but less than 2, so most(75% data is 1) of the data would be on the left of the mean
If we draw a normal distribution bell curve as shown in the attachment, we can see that the bell curve is skewed to the right . This means it has a right tail. This means few points are to the right of the mean. In other words, we can say that majority of the data points are to the left of the mean
Since the majority of the data points are to the left, the median will also be to the left of the mean which indicates median is lesser than mean . In other words, mean is greater than median
So, answer is: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
Which expression is equivalent to square root 55x^7 y^6/11x^11 y^8? Assume x > 0 and y > 0.
Answer:
Basically the answer is C.
the weight of 1in ^3 of water is 0.036 pounds. A container contains
528.768 pounds of water. what is the volume of water in the container
The volume of the water in the container is calculated by dividing the total weight of water (528.768 pounds) by the weight of one cubic inch of water (0.036 pounds), resulting in 14688 cubic inches.
To find the volume of water in the container, we first consider the weight of 1 cubic inch of water, which is given as 0.036 pounds. We know that the container holds 528.768 pounds of water. To find the volume, we divide the total weight of water in the container by the weight of one cubic inch of water.
Volume = Total Weight / Weight per Unit Volume
Volume = 528.768 pounds / 0.036 pounds/in³
Volume = 14688 cubic inches
If you need the volume in other units, such as gallons, you must convert cubic inches to gallons using the appropriate conversion factor.
HURRY PLZ
Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. Right Triangle Not a Right Triangle.
Determine whether each set of side lengths could be the sides of a right triangle.
Drag and drop each set of side lengths to the correct box.
Right Triangle Not a Right Triangle.
6cm, 22.9cm, 20.1cm.
10.5cm, 20.8cm, 23.3cm
Answer:
Second option is the correct answer.
Step-by-step explanation:
To know if the given set of numbers can be possible lengths for a right triangle, we will use the Pythagorean theorem that states:
[tex]a^{2}+b^{2} =c^{2}[/tex]
a and b are smaller lengths.
Option first:
6cm, 22.9cm, 20.1cm.
[tex]6^{2}+20.1^{2} =22.9^{2}[/tex]
=> [tex]36+404.01=524.41[/tex]
=> [tex]440.01\neq 524.41[/tex]
This is not a right triangle.
Option second:
10.5cm, 20.8cm, 23.3cm
[tex]10.5^{2}+20.8^{2} =23.3^{2}[/tex]
=> [tex]110.25+432.64=542.89[/tex]
=> [tex]542.89=542.89[/tex]
This is a right triangle.
HELP ASAP
What are the coordinates of the vertices of the triangle after a dilation by a scale factor of
1
4
, centered at the origin?
U → U'
V → V'
W → W'
The coordinates of a triangle's vertices after a dilation by a scale factor of 1/4, centered at the origin, are found by multiplying each of the original vertex coordinates by 1/4.
The coordinates of the vertices of the triangle after a dilation by a scale factor of 1/4, centered at the origin, can be found by multiplying the original coordinates of each vertex by 1/4. If the original coordinates are (x, y), then the coordinates after the dilation will be (x/4, y/4).
This applies to all vertices of the triangle, so the transformed triangle, denoted by U', V', and W', will have vertices with coordinates calculated by taking the original vertex coordinates of U, V, and W and scaling them down by a factor of 1/4.
With a quick explanation please
Company A charges a $120 annual fee plus $7 per hour car share fee. Company B charges $100 plus $9 per hour. What is the minimum number of hours that a car share needs to be used per year to make company A a better deal?
Answer:
11
Step-by-step explanation:
Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.
the pictures in order are
a
b
c
d
and the last picture is a figure if an awnser is missing please tell me if that one is the correct one
Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.
Explanation: Since, [tex]\triangle EFA[/tex] and [tex]\triangle KFD[/tex] are similar triangles.
Because, [tex]\angle FAE= \angle FDK[/tex] and [tex]\angle FEA= \angle FKD[/tex] (because EA and KD are parallels. And, [tex]\angle F[/tex] is common angle for these triangles.
Therefore, according to the property of similar triangles.
FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .
Thus, first, second and third options are correct.
grant is rolling a standard six sided number die eight times. how many outcomes are possible
We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.
Grant is rolling six sided number die. Hence, we can say that
Number of outcomes if rolled once = 6
Number of outcomes if rolled twice = [tex]6\times 6= 6^2[/tex]
Number of outcomes if rolled thrice= [tex]6\times 6 \times 6= 6^3[/tex]
We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.
Hence, if rolled 8 times then we have an exponent 8 on 6.
Therefore, the possible number of outcomes should be [tex]6^8= 1679616[/tex]
Hence, the number of possible outcomes is 1679616
The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?
The art museum will hang 3 famous paintings in a row. How many different ways could the paintings be hung?
There are six different ways to hang three unique paintings.
The question on how many different ways the paintings could be hung pertains to a mathematical concept known as permutations. Since there are three paintings and each one must occupy a unique position in the row, we need to calculate the number of permutations of three items. In permutations, the order matters, so the sequence ABC is different from ACB even though they contain the same paintings.
To solve this, we use the formula for permutations without repetition, which is n! (n factorial), where n is the number of items to arrange. For three paintings, this gives us:
3! = 3 × 2 × 1 = 6 different ways
Therefore, there are six different ways to hang the three paintings.
A group consists of five men and seven women. four people are selected to attend a conference.
a. in how many ways can four people be selected from this group of twelve?
b. in how many ways can four women be selected from the seven women?
c. find the probability that the selected group will consist of all women.0
Based on the density graph below, what is the probability of a value in the sample space being anywhere from 60 to 80?
A.50%
B.75%
C.100%
D.25%
Answer:
75%
Step-by-step explanation:
What is the smallest natural number that 2, 10, 14, and 36 will divide evenly?