Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.
Answers
Answer:
Dimension 1 = 12 x 8
Dimension 2 = 14 x 6
Chris should choose Dimension 1
Step-by-step explanation:
Perimeter of a rectangle = 2 × width + 2 × length
= 2(width + length)
Given:
perimeter = 40m⇒ 40 = 2(width + length)
⇒ width + length = 20 m
Therefore, possible dimensions:
Dimension 1 = 12 x 8 (as 12 + 8 = 20)Dimension 2 = 14 x 6 (as 14 + 6 = 20)We need to calculate the area of both choices. The choice with the greatest area will allow the most vegetables to be planted.
Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²Therefore, Chris should choose Dimension 1 (12 x 8).
Related Questions
help 1 hour left please
Answers
Answer: 110 degrees
Step-by-step explanation:
A snack-size bag of pretzels contains 0.5 ounce. How many ounces of pretzels come in a bulk pack that contains 64 snack size bags.
Answers
[tex]__________________________[/tex]
Given:Each bag of pretzels contain = 0.5 ozAnswer & Solution:64 x 0.5 oz = 32 oz
Therefore, 64 bags of pretzels contains 32 oz of pretzels.
Jake opens a credit card with 18% annual interest compounded monthly. If he charges $800 on the card and never pays it off, how much will he owe the credit card company in 2
years? Round to the nearest cent.
Answers
Work Shown:
A = P*(1+r/n)^(n*t)
A = 800*(1+0.18/12)^(12*2)
A = 1,143.60224954321
A = 1,143.60
Notes:
P = 800 is the principal. It is the amount loaned to Jake.r = 0.18 is the decimal form of the 18% interest raten = 12 because we're compounding monthly, i.e. 12 times a yeart = 2 = number of yearsFor more information, check out the compound interest formula.1) on a test suzy has a diagram of a regular prism and pyramid. both have a height of 4 inches, both have square bases with the side lengths of 6 inches, and the pyramid has a slant height of 5 inches. which shape has the larger surface area? a) they have the same surface area. b) the prism does by 72 square inches. c) the pyramid does by 72 square inches. d) there is not enough information to determine the surface area.
Answers
The Prism has a larger surface area than the pyramid.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
Surface area of Prism = 2 * base area + 4(base length)(height)
Surface area of Prism = 2(6 * 6) + 4(6)(4) = 168 in²
Surface area of pyramid = (base area) + 2(base length)(slant height)
Surface area of pyramid = (6 * 6) + 2(6)(5) = 96 in²
The Prism has a larger surface area than the pyramid.
Find out more on area at: https://brainly.com/question/25292087
Please help answer the attached question
Answers
Answer:
angle BCD = 108
Step-by-step explanation:
opposite angles in a cyclic quadrilateral add to 180
so angle BDC is 180 - 72 = 108
what are the angles 32 and 114 there for??
653005 number with commas as per the international number system
Answers
Answer:
653005 = 653,005 in the International System of Numeration, the number is (Six hundred fifty-three thousand and five)
I
For each of the following functions find f(-x) and -f(x), then determine whether it
is even, odd or neither. Justify your answer.
f(x)=x^3-7/x
f(x)=|-x|
f(x)=25-x^3
f(x)=72-x^4
Answers
By using the definition of even and odd functions, we will see that:
a) oddb) even.c) neitherd) even.What is an odd and an even function?A function f(x) is even if:
f(x) = f(-x)
And the function is odd if:
f(-x) = -f(x).
Now let's check it for all the given functions.
a) f(x) = x^3 - 7/x
-f(x) = -x^3 + 7/xf(-x) = (-x)^3 - 7/(-x) = -x^3 + 7/xSo this function is odd.
b) f(x) = |-x|
-f(x) = -|-x|f(-x) = |-(-x)| = |x| = |-x|This function is even.
c) f(x)=25-x^3
-f(x) = -25 + x^3f(-x) = 25 - (-x)^3 = 25 + x^3This function is neither odd nor even.
d) f(x) = 72-x^4
-f(x) = -72 + x^4f(-x) = 72 - (-x)^4 = 72 - x^4 = f(x)This function is even.
If you want to learn more about odd and even functions, you can read:
https://brainly.com/question/2284364
Which of the following best explains why one graph appears skewed and one graph appears symmetrical? The scale of the box-and-whisker plot does not start at zero. The interval of the box-and-whisker plot is too large. The interval of the stem-and-leaf plot is not consistent. The scale of the stem-and-leaf plot is too small for the set of data.
Answers
The statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.
What is a symmetric distribution?A symmetric distribution oftenly refers to the distribution which looks symmetric about a fixed line.
For this case, the missing image is attached below.
The stem leaf plot represents the considered bar plot.
But stem leaf plot seems symmetric whereas the box plot isn't.
This is because the stem and leaf plot is missing '5' in its stem, making the interval inconsistent.
Doing inconsistant graphing isn't allowed as that represents distorted data, as for this case, the data seems symmetric when it isn't.
Thus, the statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.
Learn more about box plot here:
https://brainly.com/question/1523909
Answer:c edge
Step-by-step explanation:
what is the way to find inverse of matrix?
Answers
Formula for inverse of matrix:
matrix → inverse matrix
[tex]A = \bold{ \sf { \begin{pmatrix}a&b\\ c&d\end{pmatrix} \ \ \ \rightarrow \ \ A^{-1} = \dfrac{1}{(ad-bc)} \begin{pmatrix}d&-b\\ -c&a\end{pmatrix} }}[/tex]
After door-to-door canvassing, census workers determine the number of unoccupied homes. The table shown to the
right lists the number of homes, in millions, that were unoccupied in four census years.
Answer questions a through c.
Answers
The exponential regression equation of the census predicts the number of unoccupied homes
The exponential regression equation is y = 5.247256 * 1.033157^x
How to determine the exponential regression equation?The dataset is given as:
x y
0 5.3
10 7.3
20 9.7
30 14.3
To determine the exponential regression equation, we make use of a graphing calculator.
The calculation summary from the graphing calculator are:
Regression Equation: y = 5.247256 * 1.033157^xCorrelation: r = 0.998002R-squared: r^2 = 0.996008Hence, the exponential regression equation is y = 5.247256 * 1.033157^x
Read more about regression equations at:
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Use the distributive property (expand) to write an equivalent expression for: 3(4x-2t). Type your answer ( I NEED THIS RIGHT AWAY PLS)
Answers
Answer:
The distributive property here is to just multiply each value by tree number outside the parenthesis.
3 ( 4x - 2t)
12x - 6t
That would be your answer.
Let $a_1 a_2 a_3 \dotsb a_{10}$ be a regular polygon. A rotation centered at $a_1$ with an angle of $\alpha$ takes $a_4$ to $a_8$. Given that $\alpha < 180^\circ$, find $\alpha,$ in degrees
Answers
Answer:
72°
Step-by-step explanation:
The required angle of rotation can be found by considering the regular polygon to be inscribed in a circle. Each of its 10 vertices will be separated by a central angle of 360°/10 = 36°. So, the vertices a8 and a4 will be separated by a central angle of (8 -4)(36°) = 144°.
The angle a4-a1-a8 is an inscribed angle, so will have half the measure of the central angle intercepting the a4-a8 arc. The desired angle of rotation to map a4 to a8 is ...
α = 144°/2 = 72°
The value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. A polygon's sides or edges are made up of straight-line segments that are joined end to end to form a closed shape. The vertices or corners are the points where two line segments meet, and an angle is generated as a result.
Consider the regular polygon to be inscribed in a circle to get the required angle of rotation.
A center angle of 360°
=360°/10 = 36°
It will separate each of its 10 vertices.
The central angle:
= (8 - 4)×(36°) = 144°
An inscribed angle is a4-a1-a8:
So α will be:
α = 144/2 ⇒ 72°
Thus, the value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1
Learn more about the regular polygon here:
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#SPJ4
Each square below represents one whole
Answers
Answer:
52.
Step-by-step explanation:
shaded = (3²) + (2²)
shaded = 9 + 4
shaded = 13
Unshaded = (3 x 2) + (2 x 3)
Unshaded = 6 + 6
Unshaded = 12
All = 12 + 13
All = 25
100 / 25 = 4
4 x 13 = 26 x 2
26 x 2 = 52.
Answer:
48%
Step-by-step explanation:
25 total boxes
12 are filled
12/25=48%
Hi, good morning. i will give u brainlest if u help me thanks and if u get the answer correct.
Answers
Answer:
22.50
Step-by-step explanation:
Given:
Selling everything in his store for 5/8 of the marked price.
find a t-shirt that is marked at $36
Solve:
36 * 5/8
[tex]\frac{36}{1}\cdot \frac{5}{8}[/tex]
[tex]\frac{9\cdot \:5}{2}[/tex]
[tex]\frac{45}{2}[/tex]
22.50
~lenvy~
A stunt plane ended a maneuver
100 meters above the top of a
skyscraper before dropping more
than 12 meters. What is the
highest altitude the plane could be
after the drop?
Answers
Answer:
The stunt plane finally finished his stunt at a height of 300m above the skyscraper which means he is at a height of h0 + 300 above sea level
Therefore , the total elevation (e) would be :
e = 300 + 100
= 400m
Thank you for your help please help thanks
Answers
Answer: 147m²
Step-by-step explanation:
The rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two people know the secret on day 0, and 20 people know it on day 2, how long will it take for the whole school (4000 people) to know?
Answers
Answer:
between 222 and 223 days
Step-by-step explanation:
This relation includes the point (0, 2).
A proportional relation must include the point (0, 0).
This is not proportional, but it may be linear.
Points: (0, 2), (2, 20)
y = mx + b
20 = (20 - 2)/(2 - 0) × 2 + b
20 = 18/2 × 2 + b
b = 2
y = 18x + 2
When 4000 people know, y = 4000.
y = 18x + 2
4000 = 18x + 2
3998 = 18x
x = 3998/18
x = 222.111...
Answer: between 222 and 223 days
if (3/8)/(2/3)=(3/8)*(3/x), then x= ?
Answers
Answer:
[tex]\fbox{x=4.5}[/tex]
Step-by-step explanation:
[tex] \frac{ \frac{3}{8}}{ \frac{2}{3} } = \frac{ \frac{3}{8}}{ \frac{3}{x} } [/tex]
Multiplying LHS & RHS with 3/8,
[tex]\frac{1}{\frac{2}{3}} = \frac{1}{\frac{3}{x}}[/tex]
Taking reciprocal both the side,
[tex] \frac{3}{2} = \frac{x}{3} [/tex]
Cross multiplying and dividing,
[tex]9 = 2x \\ x= \frac{9}{2} \\ x= 4.5[/tex]
[tex]\fbox{x=4.5}[/tex]
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each team in a youth soccer league pays $784 to join the league. if a team consists of 12 players and the fee is divided equally among the players, how much does each player pay?
Answers
Answer:
$65.33
Step-by-step explanation:
12x = 784
÷12 ÷12
x = 65.33
They would each have to pay $65.33.
I hope this helps!
The cost price of 12 candles is equal to the sellering price of 15 candles. Find the loss percent.
Answers
Answer: Let SP of 15 candles = Rs.100. CP of 12 candles = SP of 15 candles = Rs.100 CP of 15 candles = = Rs.125 Loss = CP – SP = 125 – 100 = 25 = 20% 10.
Step-by-step explanation: This was a simple answer also CP means sale price
what is c² + 6c - 6 if c = 4?
Answers
Answer:
34
Step-by-step explanation:
In order to solve this problem, you would have to plug-in 4 in letter c.
So the equation would go from:
c² + 6c - 6 to
(4)² + 6(4) - 6
4 to the square power is 16
6 times 4 is 24
So you would write this equation next
16 + 24 - 6
after adding and subtracting you should get 34 as your final answer.
Hope this helps!
SIDE NOTE: REMEMBER TO FOLLOW THE RULES OF PEMDAS WHEN ANSWERING THESE PROBLEMS!
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
34
Step-by-step explanation:
In order to solve the equation, all you would have to do is substitute your answer by the number given. It would look something like this:
(4)^2+6(4)-6
Remember to follow PEMDAS when solving it.
(4)^2 --> 4*4=16
6(4)=24
16+24-6=34
So, your final answer would be 34.
25
Which equation best represents the relationship between x and y in the graph?
Y
9
S
2
5
4
3
2
1
-2
3
Ay=-4-3
4
3
BY--x-3
c y = - 8x - 4
D y = - 3X -4
Cy
7X
Dy=-31
*
Answers
Answer:
-3/4 x -3
Step-by-step explanation:
Put all Answer choice on graph:
-3/4 x -3
-4/3 x - 3
-3/4 x -4
Base on the graphs below:
we can see that -3/4 x -3 is the best represents..
~Lenvy~
Part A
Find the website for your state’s department of motor vehicles (DMV). Investigate the minimum coverage requirements established by your state, and list these coverage requirements:
Injury or death to one person
Injury or death to more than one person
Damage to property
Answers
California often needs the following minimum insurance coverage:
That is $15000 for any kind of bodily Injury or death to one person.That is $30000 for any kind of bodily $30,000 for injury or death to more than one person.That is $5000 for any form of property damage liability.What does minimum mean?The phrase minimum coverage in terms of car insurance policy is known to be the bodily injury liability and property damage liability that one has to cover.
It is known to often differ per state. Note that all the minimum coverage requirements above are paid by the person who cause the accident.
Learn more about minimum coverage from
https://brainly.com/question/4539405
Y+1.27=7.23 solve for y
Answers
Answer:
y=5.96
Step-by-step explanation:
You can do a reverse equation and do 7.23 - 1.27 = 5.96
What heat transfer is Christmas lights radiation or convention or conduction
Answers
Answer:
The heat from the sun or heat released from the filament of a light bulb is the example of radiation.
please help me please
Answers
Answer:
Heres the answer Hope this helps!:)
troy organizes a samll party there are 30 glasses of drinks at the party 20 of which contain an orange flavored drink what is the probability that a randomly selected drink will be orange flavored
Answers
Answer:
66(2/3) %
Step-by-step explanation:
There are 30 possible outcomes because there are 30 cold drinks.
The Probability of orange flavored 20/30 = 2/3 = 0.6666....
66.6666....%= 66(2/3) %
Find the area of the rectangle or square 19 3 km and 38.4 km.
Answers
Answer:
Area of rectangle is 741.12km^2
Area of square is 1474.56km^2
Step-by-step explanation:
Formula for Area of a rectangle= length x breadth
Area = l x b = 19.3 km x 38.4 km (substitute the numbers)
Area = 741 km^2
OR
Area of square = length x length
Area = l x l = 38.4 x 38.4
Area = 1474.56 km^2
What is the general equation of a sine function with an amplitude of 2, a period of Pi and a horizontal shift of Pi units? y = 2 sine (2 (x minus pi)) y = 2 sine (4 (x pi)) y = sine (0. 5 (x minus pi)) y = sine (2 (x pi)).
Answers
The general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex]. The sine and cosine of an acute angle are utilized to find the angle of the triangle.
What is sin function?The sine and cosine of an angle are trigonometric functions. In the context of a right triangle, the sine and cosine of an acute angle are used to find the angle of the triangle.
The standard general equation of a sine function is given as;
[tex]\rm y= AsinB(x-C)+D[/tex]
Where A denotes the amplitude, B is the frequency, D is the vertical shift and C is the phase shift.
The given data in the problem is;
A is the amplitude= 2
B is the frequency=2
D is the vertical shift =0
C is the phase shift.=[tex]\pi[/tex]
The general equation is found as;
[tex]\rm y= 2sin(2(x-\pi)[/tex]
Hence the general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex].
To learn more about the sin function refer to the link;
https://brainly.com/question/6826226
Eric runs a coffee shop and bought 5,480 cups at the beginning of the week. At the end of the week, he had 20% of the cups left. How many cups does Eric have left?
Answers
Answer: 1,096 cups
Step-by-step explanation:
Answer: 1096 cups left.
Step-by-step explanation: 20% of 5,480 is 1096. This is accurate because 20% is one-fifth of 100%. In this case, 5,480 is our 100%. When you divide 5,480 by 5, you get the answer 1,096, which is 20% of the 5,480 cups that Eric started with.
Have a great day! :)