Juan will put fencing around the outside of the enclosure. How much fencing does he need for the enclosure?
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Related Questions
Can someone help me with this?
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.. cos(78°) = (5 ft)/?
.. ? = (5 ft)/cos(78°) ≈ 24.0 ft
Which expressions are polynomials? Select each correct answer.
20x2y
20x²
20x² + y
20x2+y12
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A polynomial is the sum or difference of one or more monomials. A monomial is a variable, a constant, or the product of variables and constants. Each of these is a monomial, so it is a polynomial as well.
These expressions satisfy the criteria for being polynomials based on their structure and components.
[tex]\( 20x^2y \)[/tex]
[tex]\( 20x^2 \)[/tex]
[tex]\( 20x^2 + y \)[/tex]
Let's analyze each expression:
1. [tex]20x^2y[/tex]
This expression can be rewritten as [tex]\( 20x^2y \).[/tex]
It consists of variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex], coefficients ([tex]20[/tex]), and exponents ([tex]2[/tex] on [tex]\( x \))[/tex]
It involves multiplication and addition (implied by the terms).
Conclusion: This expression is a polynomial.
2. [tex]20x^2[/tex]
This expression can be rewritten as [tex]\( 20x^2 \)[/tex].
It consists of variable [tex]\( x \)[/tex], coefficient ([tex]20[/tex]), and exponent ([tex]2[/tex]).
It involves multiplication and addition (implied by the term).
Conclusion: This expression is a polynomial.
3. [tex]20x^2+ y[/tex]
This expression consists of two terms: [tex]\( 20x^2 \)[/tex] and [tex]\( y \)[/tex]
[tex]\( 20x^2 \)[/tex] is a polynomial (as identified above).
[tex]\( y \)[/tex] is also a polynomial (since it can be seen as [tex]\( 1y^1 \)[/tex], where the coefficient is [tex]1[/tex] and the exponent is [tex]1[/tex]).
The expression involves addition and multiplication.
Conclusion: This expression is a polynomial.
4. [tex]20x^2+y^{12[/tex]
This expression is not standard notation and appears to be incorrectly formatted:
It lacks clear separation between terms.
It combines numeric digits directly without appropriate variables and exponents.
Conclusion: This expression is not a polynomial.
What is the volume of the right rectangular prism?
17 in³
68 in³
108 in³
168 in³
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In this problem, you multiply all the measurements:
2 × 9 × 6 = 108
The answer is 108 in squared, or the third option.
Hope this helped!
Seventy concert tickets were sold for $550. Each adult ticket cost $9 and each children's ticket cost $5. Find the number of adult tickets and the number of children's tickets sold.
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Total cost = $550
Adult's ticket = $9
Child's ticket = $5
Difference = 9 - 5 = $4
Assume all 70 are child's tickets
5 x 70 = 350
But the total cost was 550
550 - 350 = $200
The $200 must have come from Adult's tickets, which has a difference of $4.
200 ÷ 4 = 50
So there are 50 adult's tickets.
70 - 50 = 20
And there are 20 child's tickets.
There were 50 adult tickets and 20 children's tickets sold.
To determine the number of adult and children's concert tickets sold, we use a system of equations: x + y = 70 (total tickets) and 9x + 5y = 550 (total revenue). Solving these, we find 50 adult tickets and 20 children's tickets were sold.
To find the number of adult and children's concert tickets sold, given the total revenue and the price of each ticket, we can set up a system of linear equations. Let's define x as the number of adult tickets and y as the number of children's tickets. We are given that:
The total number of tickets sold is 70: x + y = 70The total revenue from the tickets sold is $550: 9x + 5y = 550Now we have the following linear equations:
x + y = 709x + 5y = 550We can solve this system using either the substitution or elimination method. For simplicity, we'll use the elimination method.
Multiply the first equation by 5 to match the coefficient of y in the second equation:
5x + 5y = 350Now subtract the new equation from the second equation given:
(9x + 5y) - (5x + 5y) = 550 - 3504x = 200x = 50Using the value of x in the first equation, we find y:
50 + y = 70y = 20Therefore, there were 50 adult tickets and 20 children's tickets sold.
A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quilt?
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L = 7
W = 5
P= ???
P = 2*7 + 2*5
P = 14 + 10
P = 24 feet of lace.
The rectangular quilt has length 7 feet and width as 5 feet.
In order to find the perimeter, we have this formula:
[tex] P = 2(l+w) [/tex]
Plugging these values in the formula:
[tex] P = 2(7+5) [/tex]
Perimeter = 24 feet.
So 24 feet of lace are needed to cover the edges of the quilt.
sum of 5 z and 4 divided by two is 7
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[tex]Sum: + (add) \\ \\ 5:5 \\ \\ z:z \\ \\ 4:4 \\ \\ divided by: division \\ \\ 2:2 \\ \\ is: = \\ \\ 7:7 [/tex]
Answer: [tex] \frac{5z +4}{2} = 7 [/tex]
_______________________________________________________________
[tex] \frac{5(2)+4}{2} [/tex]
[tex]5(2) = 10 [/tex]
[tex]10 + 4 = 14 [/tex]
[tex] \frac{14}{2} = 7 [/tex]
Answer: [tex]z = 2[/tex]
__________________________________________________________________
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
You are having a discussion about sequences with your classmate. She insists the the sequence 2,3,5,8,12 must be either arithmatic or geometric. Is she correct or incorrect? Explain.
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.. a[n] = (n*(n -1))/2 +2
First differences are increasing, so the sequence will not be arithmetic. An arithmetic sequence has constant first differences.
Second differences are constant, so the sequence will not be geometric. A geometric sequence will have first-, second-, third-differences, and those to any level, that have the same constant ratio as the terms of the original sequence.
An 8-foot piece of pipe is cut into 1/3 foot sections. How many sections of pipe are there?
A) 20
B) 24
C) 30
D) 36
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how can you tell before dividing that the first digit of the quotient 2,874/3 is in the hundreds place?
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Final answer:
You can tell that the first digit of the quotient of 2,874 divided by 3 is in the hundreds place by using estimation and recognizing that 287 (the first three digits) is greater than 3 multiplied by 100, thus ensuring the quotient reaches the hundreds place.
Explanation:
To determine if the first digit of the quotient of 2,874 divided by 3 is in the hundreds place before actually dividing, we can use an estimation technique. Estimation helps us to predict the placement of the quotient's digits without doing the full calculation. For the divisor 3 to produce a number in the hundreds place, it must be able to go into the first three digits of the dividend (here, 2,874).
We look at the thousands and hundreds places of the dividend. Since the number 2,874 has a 2 in the thousands place, we know 3 cannot be divided into 2 to give us a number in the hundreds place. But when we include the next digit in the hundreds place, we have 287, which is greater than 3 imes 100. Therefore, we can say that 3 will go into 287 at least 100 times, making the first digit of the quotient in the hundreds place.
This estimation is further validated by the recognition that the number in the hundreds place of 2,874 (which is 8) is more than twice 3, and therefore, dividing it by 3 will definitely yield a number greater than 100 but less than 1,000.
Give an example of a set of data displayed in a line graph
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Answer:
data displayed in a line graph represents change over time
Step-by-step explanation:
and example could be effects of different soil on the same kind of plant over a week
all my points to person who has best answer plz make it simpule
Solve 8 x^2 + 5 = 35 Round to the nearest hundredth.Enter your answers in the boxes.The solutions are approximately and .
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this is the answer because you subtract the 5 on both sides then divide by 8 which would be x^2=3.75, finally take the square root of both sides to get x=1.94 after rounding
8x² = 35 - 5
8x² = 30
x² = 30/8
x² = 3.75
x = ±1.94 to the nearest hundredth
So x₁ = -1.94 and x₂ = 1.94
Which line is the best model for the data in the scatter plot?
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i.e. the points are closely related to the line.
Also, the other properties of a trend line are--The magnitude of the negative and positive residual values must be same.
( i.e. Not all point could lie above the line and not all points could lie below the line )
( In graph A most of the points lie below the line.
Hence, Graph A is not the correct answer.
In graph most of the points lie above the line.
Hence, Graph C could not be the best model.
In graph D most of the points lie above the line and hence it could not be the best model)
whereas in Graph B there are equal number of points above and below the line.
pose a word problem that will match the solution
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Hope this helps!
what is the formula for this?
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To find the area of a parallelogram, you multiply the length and the width together, the exact same method you would use to find the area of a rectangle or square.
The reason you would use the same area formula of a rectangle/square to find the area of a parallelogram would be that all rectangles are parallelograms (however, not all parallelograms are rectangles).
**Rectangles are a special kind of parallelogram: they are parallelograms with right angles formed in the corners of the figure.
Another thing to keep in mind is to imagine this: if you were to split the parallelogram from the top left corner straight down, you will get a triangular figure. If you were to move this triangular figure to fill in the right slanted part of the parallelogram, you would have a rectangle.
Now, to solve for the area. Because the formula is A=Base (or the length)*Height (or the width), you should have this expression:
A=20*27
This would simplify to 540 cm squared, which would be your answer.
Hope this helps and have a wonderful day! :)
What is the arc length of arc CD in the circle below? Circle A is shown with a radius labeled 8 feet and a central angle marked 35 degrees. 3.14 feet 4.88 feet 6.98 feet 11.78 feet
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we know that
the length of the circumference (L)=2*pi*r
r=8 ft
so
L=2*pi*8=16*pi ft
the length of arc CD is 35°-------->let's transform the degrees to feet
we apply a rule of three
if 360° -----------------> 16*pi
35°---------------X
X=35*16*pi/360--------> 4.88 ft
the answer is 4.88 ft
1.
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B', has the coordinates (2, –3). What is the scale factor of the dilation?
110
15
5
10
2.
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A' has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.
The coordinates of C' are (0.75, 0.5).
The coordinates of C' are (1.5, 1).
The scale factor is 18
.
The scale factor is 8.
The scale factor is 14
.
The scale factor is 4.
The coordinates of B' are (-0.25, 1).
The coordinates of B' are (-0.5, 2).
3.
What is the scale factor of a triangle with a vertex of A(–6, 4) that has been dilated with a center of dilation at the origin so the vertex of its image is A'(–24, 16)?
4.
Three transformations will be performed on triangle ABC. Which set of transformations will always produce a congruent triangle?
Dilation, rotation, translation
Reflection, dilation, translation
Rotation, reflection, dilation
Rotation, translation, reflection
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The scale factor is [tex] \frac{1}{5} [/tex]
Question (2):
scale factor = [tex] \frac{1}{8} [/tex]
coordinates of C' are (0.75 , 0.5)
coordinates of B' are (-0.25,1)
Question (3):
The scale factor is 4
Question (4):
Rotation, translation, reflection
Exact steps and explanation for each question are shown in the attached images.
Hope this helps :)
Answer:The scale factor is \frac{1}{5}
Step-by-step explanation:
Sally surveyed 20 of her friends to determine their favorite color. Her data shows that 25% said blue, 15% said green, 10% said yellow, and the rest said red.
Which circle graph best represents Sally's data?
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Answer:
The circle graph that represents Sally's data in the attahed figure
Step-by-step explanation:
we know that
The color blue represent [tex]25\%[/tex]------> Is a quarter of circle
The color yellow plus the color green represent [tex]10\%+15\%=25\%[/tex] -----> Is a quarter of circle
The color red represent [tex]100\%-50\%=50\%[/tex]------> Is a half circle
therefore
The answer in the attached figure
HEEEEEEELPPPP PLSSSSSSSSSSSS
A circle has a radius of 13 inches.
Which equation can be used to find the diameter of this circle?
d=2π(13)
d=12(13)
d=2(13)
d=132
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ANSWER: d= 2(13)
Hope this helps! :)
Answer:
d=2(13)
Step-by-step explanation:
Dennis is thinking of two number. The only common factors of the number are 1 and 3.Thier first common multiple is 18.One of the number is 9. What is the other number?
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Final answer:
Dennis's other number, considering the conditions of only having 1 and 3 as common factors and 18 as the least common multiple with 9, is 6.
Explanation:
To solve the problem regarding Dennis's numbers, it's crucial to understand the conditions provided: the numbers only share common factors of 1 and 3, one of the numbers is 9, and their first common multiple is 18. To find the other number, knowing one of the numbers allows us to apply the rule of least common multiples (LCM). Since 9's factors are 1, 3, and 9, and the LCM with the other number is 18, this other number must be divisible by itself and 3 but not be a multiple of 9 to maintain the unique common factors condition. The only number that satisfies the condition in which 18 is the LCM and shares only 1 and 3 as common factors with 9, would be 6, since 18 is the smallest number that both 9 and 6 can divide into without other common multiples.
Rewrite 3x + 4y = 10 using function notation.
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[tex]3x+4y=10 \\ 4y=-3x+10 \\ y = \frac{-3}{4}x+ \frac{5}{2} \\ \\ f(x) = \frac{-3}{4}x+ \frac{5}{2} [/tex]
What is the area of this parallelogram?
A: 104 m²
B:88 m²
C:56 m²
D:32 m²
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b = 7 + 4 = 11
h = 8
11(8) = 88
The correct answer is B. 88 m^2
Can someone help me!! I’m trying to find equivalent measures! 15!points if you can help!
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0.85 L = (0.85 L)*(1000 mL/1 L) = (0.85*1000) mL = 850 mL
So, 0.85 liters is equivalent to 850 milliliters
jerry was playing a video game. it took him 10 lives to beat the 2nd world, 5 times as many as it took him to beat the 1st world. how many lives did he use to the 1st world?
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lst world = 5 x 10 = 50 lives
Final answer:
Jerry used 2 lives to beat the 1st world, determined by dividing the 10 lives used for the 2nd world by 5.
Explanation:
Jerry used 10 lives to beat the 2nd world and it took him 5 times as many lives as it did to beat the 1st world. To find out how many lives it took him to beat the 1st world, we need to divide the number of lives used for the 2nd world by 5.
Let x represent the number of lives Jerry used to beat the 1st world. The equation based on the given information is:
5 * x = 10
Now, we solve for x:
x = 10 / 5
x = 2 lives
Therefore, Jerry used 2 lives to beat the 1st world.
Gerry folded 3/8 of the pile of shirts. Molly folded 1/8 of the pile of shirts. Together did they fold more than half the shirts? Explain your answer.
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Gerry folded 3/8 of the pile of shirts and Molly folded 1/8 of the pile of shirts, so in total they folded 4/8 of the pile of shirts.
A N S W E R:
4 is half of 8, but it is not more than half of 8, so, together, Gerry and Molly did NOT fold more than half the shirts.
Question: Given: m∠AEC = 104° and m∠CBD = 31°, Explain why angles ACE, ACB and BCD have a sum of 180°. Use the transversal (line GF) as the basis for your argument.
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104+31+45= 180
In a trapezium pqrs , pq is parallel to Sr , pq = ps = qr and psr = 66 , calculate
A) qrs. B) pqs
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Answer: A) qrs.
Hoping this helps you!
What is the rule to represent the number of tiles in figure x?
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figure 2 has 14 tiles
figure 3 has 22 tiles
I'm guessing the 2 on the side hints for us to do something+2
the inside parts are
figure 1: 6
figure 2: 12
figure 3: 20
hmm, the width is 1+number figure
height is 2+figure number
so therefor, figure x is (1+x)(2+x)+2
so the rule is figure x has (x+1)(x+2)+2 or [tex]x^2+3x+4[/tex] tiles
a. the rule is figure x has (x+1)(x+2)+2 or [tex]x^2+3x+4[/tex] tiles
b. it is quadratic because it has [tex]x^2[/tex] in it
A farmer has 112 pecan tree and 97 walnij tree. How many more pecan Teresa does the farmer have than walnij tree? Desrcibe what you would do
I would regroup the tens
I would add 12 + 97
I would subtract 7 ones from 12 ones
Which answer is correct?
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Patty ordered a pizza to be delivered. The bill was $12.00. Patty pays $15 and tells the delivery person to keep the change as a tip. What percent tip did she give?
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(15-12)/12=1/4....
uppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value