A u-shaped walkway surrounds a garden area. A diagram of the walkway is point shown. Which measure represents the area of the walkway?* 3 ft 3 ft 6 ft 4 ft -- 4 ft
Answers
Solution
We can find the individual parts of the area and we got:
\(A_1=3\cdot6=18ft^2\)\(A_2=\frac{1}{2}(3\cdot4)=6ft^2\)\(A_3=4\cdot4=16ft^2\)\(A_4=\frac{1}{2}(3\cdot4)=6ft^2\)\(A_5=3\cdot6=18ft^2\)And the total area would be:
\(A=18+6+16+6+18=64ft^2\)then the final answer would be 64 ft^2
Related Questions
Choose the standard form equation that equals the combination of the two given equations.4x+5=-4 and y-3=2A.x-y=14B.4x-y=-14C.4x-y=-4D.x-4y=-14
Answers
the standard form equation that equals the combination of the two given equations is 4x+5=-4 and y-3=2
How do you solve for standard form?
The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side. Use inverse operations to move terms.
learn more about of equation here
https://brainly.com/question/29078197
#SPJ4
Which expressions are equivalent to - 8z + (-4.5) +2.5z+3y-3.5?
Select all that apply.
A. -8+3y + 5.5z
B. -5.5z+3y-8
C. -8+3y +(-5.5z)
D. 3y +(-5.5z)-4.5
E. 3y-8-5.5z
Answers
Answer:
A&D
Step-by-step explanation:
a bernoulli differential equation is one of the form observe that, if or , the bernoulli equation is linear. for other values of , the substitution transforms the bernoulli equation into the linear equation consider the initial value problem (a) this differential equation can be written in the form with 1/x , 5 , and 2 . (b) the substitution y^-1 will transform it into the linear equation -1/x -5 . (c) using the substitution in part (b), we rewrite the initial condition in terms of and : 1/5 . (d) now solve the linear equation in part (b), and find the solution that satisfies the initial condition in part (c).
Answers
The Bernoulli differential equation is a nonlinear ordinary differential equation of the form:
dy/dx + P(x)y = Q(x)y^n, where n ≠ 0, 1.
For n = 0 or n = 1, the equation is linear. For other values of n, a common technique to linearize the equation is to make the substitution y = v^(-1/n-1). The resulting equation is:
dv/dx + (P(x) + Q(x)/v^(1/n-1)) * (1/n-1) * v^(1/n-2) * dv/dx = 0.
For the initial value problem given, we have P(x) = -1/x, Q(x) = -5, and n = 2.
We make the substitution y = v^(-1), so v = y^(-1), and dv/dx = -y^(-2)dy/dx. The equation becomes:
-y^(-2)dy/dx + (-1/x - 5y^2) = 0.
We have the initial condition y(1) = 1/5. In terms of v, the initial condition becomes v(1) = 1/(1/5)^2 = 25.
Now, the differential equation is linear, and we can solve it using standard methods, such as separation of variables. To find the solution that satisfies the initial condition, we may use numerical methods such as the Euler method or Runge-Kutta method.
To Know more about Bernoulli equation
https://brainly.com/question/15396422
#SPJ4
Which figure has more than one line of symmetry?
Answers
Answer:
Figure C
Step-by-step explanation:
With Figure C, you can see a line up and down to represent 2 symmetrical halves. This is the same if you go from left to right.
In the figure third which is hexagon has more than one line of symmetry option (C) is correct.
What is line of symmetry?It is defined as the line which will make exactly two halves with similar shape and size in the geomerty. For two-dimensional shape there is a line of symmerty, and for the three-dimensional shapes there is plane of symmerty. In other words if we make a mirror image of the shape around the line of symmerty we will get exactly same half portion.
In the first figure a kite like shape is showing if we break it vertically by a vertical line, we will get half of this shape, and if we breake with horizontal line we will not get similar portion, hence in this figure there is only one line of symmetry.
Similarly,
In the second figure there is also only one line of symmetry.
In the third figure there is more than one line of symmetry.
In the fourth figure there is only one line of symmetry.
In the last figure there is only one line of symmetry.
Thus, in the figure third which is hexagon has more than one line of symmetry option (C) is correct.
Learn more about the line of symmetry here:
https://brainly.com/question/1597409
Wei wants to prove that the segment joining midpoints of two sides of a
triangle is parallel to the third side.
Select the appropriate rephrased statement for Wei's proof.
Answers
Now we know PR∥QX , according to construction with transversal line TX.
∠PTS=∠QXS (Alternate angle)
In △PTS and △QSX
∠PTS=∠QXS (Alternate angle)
∠PST=∠QSX(vertically opposite angles)
PS=SQ(S is mid point of PQ)
△PTS≅△QSX(AAS rule)
So, TP=QX(CPCT)
As we know, TP=TR (T is midpoint)
Hence, TR=QX
Now, in quadrilateral TSQR
TS∥QR
Hence proved.
Know more about triangle,
https://brainly.com/question/13677972
#SPJ1
a standardized test has 125 questions with a total of 1300 points
Answers
Answer:
Ummmm.... Whats your qustion???? Im confused...
Step-by-step explanation:
A barn roof has a 35° rise, and the barn is 32 feet wide.a.How high does the roof rise?b. What length rafter is needed to have a 6 inch overhang?
Answers
a)
\(\begin{gathered} \theta\text{ = 35} \\ \text{opposite = Height} \\ \text{Adjacent = 32} \\ \tan \theta\text{ = }\frac{opposite}{\text{adjacent}} \\ \tan 35\text{ = }\frac{H}{32} \\ 0.7\text{ = }\frac{H}{32} \\ H=32\text{ x 0.7} \\ H\text{ = }22.4\text{ f}eet \end{gathered}\)
b)
Hypotanuse = length of rafter = x
\(\begin{gathered} \cos \theta\text{ = }\frac{adjacent}{\text{hypotanuse}} \\ \cos \text{ 35 = }\frac{32}{x} \\ 0.819\text{ = }\frac{32}{x} \\ \text{Cross multiple} \\ 0.819x\text{ = 32} \\ \text{divide through by 0.819} \\ x\text{ = }\frac{32}{0.819} \\ x\text{ = 39.07 f}eet\text{ } \\ \\ \end{gathered}\)
Given the function f(a) = 5a + 14, solve for f(a) = 0.
Give an exact answer; do not round.
Answers
Answer:
a = 14
Step-by-step explanation:
Step 1: Write out your problem
f (a) = 5a + 14 | f (a) = 0
Step 2: Solve
f (a) = 5 (0) + 14 , Input a.
f (a) = 0 + 14 , 5 x 0 = 0
(a) = 14 , 0 + 14
a = 14
f(a)=5a+14
so basically y=5x+14 and x=0
plug in 0 for your x
y=0
The length of a rectangular garden is 22 feet longer than its width. If the area of the garden is 408 square feet, what are the dimensions of the garden?
Length=
Width=
Answers
Answer:
Length = 34 ft
Width = 22 ft
I know for SURE!
Pls mar branliest!!
Answer:
Length = 34
Width = 12
Step-by-step explanation:
Let the lenght of the garden be denoted by L, and let the width of the gardne be denoted by W.
The length of a rectangular garden is 22 feet longer than its width: L=W+22
The area of the garden is 408 square feet: A=LW=408
SubW+22 in for L in the equation LW=408 :
LW=408
(W+22)W=408
\(W^{2}\)+22W-408=0
(W-12)(W+34)=0
So we have W=12 and W=-34. However, W can't be equal to -34 as width can't be negative. Therefore, the width of the garden is 12feet.
L=W+22=12+22=34. The length of the garden is 34feet.
Scientists have steadily increased the amount of grain that farms can produce each year. The yield for farms in France is given by y=−2.73x2+11000x−11000000 where x is the year and y is the grain yield in kilograms per hectare (kg/ha).
What does the y-intercept of this function represent?
Answers
9514 1404 393
Answer:
the yield in year 0
Step-by-step explanation:
The y-value is the yield for farms in France in year x. The y-value when x=0 is the yield for farms in France in year 0.
_____
Additional comment
The reasonable domain for this function is approximately 1843 ≤ x ≤ 2186. The function is effectively undefined for values of x outside this domain, so the y-intercept is meaningless by itself.
What equation of the line which passes through the point (-1, 2) and is parallel to the line y=x+4
Answers
Answer:
Thus, the equation of line for point (-1, 2) is y = x + 3.
Step-by-step explanation:
Answer:
The equation of the line is y = x + 3.
Step-by-step explanation:
A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.
y = mx + b
y = 1 * -1 + b
y = -1 + b
b = y + 1
b = 2 + 1
b = 3
What’s the correct answer for this?
Answers
Answer
D.
Explanation
mIH = 44
mIJ = 46
mJK = 77
ADDING THEM ALL TO FIND THE MEASURE OF m<HOK
<HOK = 44+46+77
<HOK = 167°
Find all of the subsets of C. C = {a,b, e, f}
Answers
Answer:
b and e I think not sure :) :) :)
in a survey of 200 students 120 were taking mathematics and 50 were taking speech what is the least number of students who could have been taking both courses.
Answers
200-120-50=30
Thank yall for helping me
Answers
Answer:
11g+15-4g+5
11g-4g+15+5
15g+20
I think it's the answer because there is no
equals to ( = )
Use the function f(x) to answer the questions:
f(x) = 2x2 − 5x + 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answers
The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.
2x^2 - 5x + 3 = 0
To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.
2x^2 - 3x - 2x + 3 = 0
x(2x - 3) - 1(2x - 3) = 0
(2x - 3)(x - 1) = 0
Setting each factor equal to zero, we get:
2x - 3 = 0 --> x = 3/2
x - 1 = 0 --> x = 1
Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.
Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.
To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.
x = -(-5) / (2*2) = 5/4
Substituting this value of x back into the equation, we can find the y-coordinate:
f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8
Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.
Part C: To graph f(x), we can use the information obtained in Part A and Part B.
- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.
- The vertex is at (5/4, 3/8). This is the minimum point of the graph.
We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.
Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.
By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).
For more such questions on Vertex .
https://brainly.com/question/28747454
#SPJ8
The population of Boom town is 775,000 and is increasing at a rate of 6.75% each year. How many years will it take to reach a population of 1,395,000?
Answers
To study population growth, we use the following formula
\(P=P_0\cdot e^{rt}\)Where,
\(\begin{gathered} P=1,395,000 \\ P_0=775,000 \\ r=0.0675 \end{gathered}\)Let's replace the values above, and solve for t.
\(\begin{gathered} 1,395,000=775,000\cdot e^{0.0675t} \\ e^{0.0675t}=\frac{1,395,000}{775,000} \\ e^{0.0675t}=1.8 \\ \ln (e^{0.0675t})=\ln (1.8) \\ 0.0675t=\ln (1.8) \\ t=\frac{\ln (1.8)}{0.0675} \\ t\approx8.7 \end{gathered}\)Hence, it would take 8.7 years to reach a population of 1,395,000.find the slope of the line
Answers
Answer:
1/2
Step-by-step explanation:
(2,1)(4,2)
x1-y1/x2-y2
slope:m=1/2
CAN SOMEONE PLEASE HELP me with the correct answer!!!!! I need this done please help like please
Answers
reasoning: circle = 360 degrees
360-115= 245
245-81= (164 degrees)
Declan's friend Luka claims that he can read minds. To test Luka's abilities, Declan draws 5 cards without replacement from a standard deck of 52 playing cards. Declan then asks Luka to identify in any order which 5 cards he drew without looking. Assume that Luka has no special abilities and is randomly guessing the cards. What is the probability that Luka correctly identifies all 5 cards in any order? :
Answers
Answer:
1/52c5 (b)
Step-by-step explanation:
The probability Luka correctly identifies all 5 cards in any order is \(\frac{1}{^{52}C_{5}}\).
What is probability?"Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen."
We have
The number of favorable outcomes are Luka correctly identifying all 5
5 cards in any order, and this can be done in \(^{5}C_{5}\) ways. This is equal to 1.
∴ The number of favorable outcomes are 1
Luke can identify 5 cards from 52 cards in \(^{52}C_{5}\) ways (because there is no order followed here).
∴ The total number of outcomes are \(^{52}C_{5}\)
Formula for probability of an event happening
= \(\frac{Number of Favorable Outcomes}{Total Number of Favorable Outcomes}\)
So the probability Luka correctly identifies all 5 cards in any order is
= \(\frac{1}{^{52}C_{5}}\)
Hence, the probability Luka correctly identifies all 5 cards in any order is \(\frac{1}{^{52}C_{5}}\).
Learn more about probability here
https://brainly.com/question/12090187
#SPJ2
5x + 7 / 2 = 3x / 2 - 14 help me fast
Answers
Answer:
X= -5
Step-by-step explanation:
do you need steps?
5x +7/2 = 3x/2 -14
10x+7/2 = 3x-28/2
2(10x+7) = 2(3x-28)
20x +14 = 6x - 56
20x -6x = -56 - (14)
14x = -70
x = -70/14
x = -5
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
learn more about word problem from
https://brainly.com/question/21405634
#SPJ1
PLEASE HELP!!!
Use the following table to answer the question. Mireya wants to buy 4 avocados. The local market sells avocados at the rate shown in the table. The store down the road is advertising 4 avocados for $5. In complete sentences, explain which store has the better rate.
$1.15
$2.30
$5.75
$11.50
1
2
5
10
Answers
Answer:
the local market
Step-by-step explanation:
4 avacados from the local would be $4.60 which is $0.40 less than from the store down the road
A sample of students is taken from the school's A honor roll. The school
estimates that there are actually 360 students on the A honor roll. Using this
sample, how many students on the A honor roll are 8th graders?
6th: 15
7th: 11
8th: 14
Please help don’t just like the others that don’t really help
Answers
Answer:
Number of 7th Graders= 360 - X
Step-by-step explanation:
As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from &th grade. As we know: Total number of students on the A honor roll = 360 We are asked to calculate, number of students from 7th grade on the A honor roll. So, let's assume that "X" represents the all the students who are on the A honor roll except 7th grade. Mathematical Expression: Number of 7th Graders = Total number of students on the A honor roll - X Number of 7th Graders = 360 - X So, if you know the value of X, you can easily calculate the number of students which are from 7th grade on the A honor roll.
Math hard
Question: Which of the following number sentences is an example of the commutation property of multiplication?
A:27+3=3+27
B:4x5=10x2
C:18x1=1x18
D:2x(9x14)=(2x9)x14
Answers
Answer:
C:18x1=1x18
when multiplying 2 numbers, the result is the same in either order.
C:18x1=1x18
Find the 45th term of the arithmetic sequence an = 2 + 4(n − 1).
Group of answer choices
182
178
145
264
Answers
Step-by-Step Explanation:
n = 45
Therefore, 2 + 4(n - 1)
Putting n = 45, we have
2 + 4(45 - 1)
= 2 + 4 × 44
= 2 + 176
= 178
Answer:
B) 178
Hope it helps.
If you have any query, feel free to ask.
PLEASE HELP ASAP!!!! FULL ANSWERS ONLY!!!!
Blake wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Blake has 950 feet of fencing, you can find the dimensions that maximize the area of the enclosure.
a) Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). Write a function for the area A of the enclosure in terms of w . (HINT: First write one equation with w and l and one equation with w and l and A. Solve for l in the first equation and substitute for l in the other). A ( w ) = ____________
b) What width w would maximize the area? w = __________________ ft
c) What is the maximum area? A = ______________ square feet
Answers
Answer:
(a) A(w) = w(950-2w) = 950w-2w^2
(b) w = 237.5
(c) A = 112812.5
Step-by-step explanation:
First of all the maximum area is always a square. You can get the answer first to check your work later.
950/4 = 237.5
One side is not needed so add that length to the non-parallel side.
237.5+237.5=475 feet is the length and 237.5 feet is the width(s)
A=475*237.5
A=112812.5 square feet
Doing the algebra...
P=l+2w
950=l+2w
950-2w=l
A=lw
A=(950-2w)w
A=950w-2w^2
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answers
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
A straw is placed in a rectangular box that is 6 inches by 4 inches by 8 inches, as shown. If the straw fits exactly in the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
Answers
Explanation
you can solve this by using the distance between 2 points formula
\(D_{ab}=\sqrt[]{(x-x_1)^2+(y-y_1)^2+(z-z_1)^2}\)then
Step 1
Let
P1(0,0,0)
P2(6,4,8)
now , replace
\(\begin{gathered} D_{ab}=\sqrt[]{(x-x_1)^2+(y-y_1)^2+(z-z_1)^2} \\ D_{ab}=\sqrt[]{(6-0)^2+(4-0)^2+(8-0)^2} \\ D_{ab}=\sqrt[]{(6)^2+(4)^2+(8)^2} \\ D_{ab}=\sqrt[]{36^{}+16+64} \\ D_{ab}=\sqrt[]{116} \\ D_{ab}=\sqrt[]{4\cdot29} \\ D_{ab}=2\sqrt[]{29} \end{gathered}\)I hope this helps you
Juan earns $625 per week. He is married and claims 3 withholding allowances. He pays $90 each week for childcare. If he participates in his employer's cafeteria plan and has the childcare expenses deducted from his wages before taxes, how much will he save in federal income and FICA tax each paycheck?
Answers
Answer:
help needed
Step-by-step explanation:
.