If the length of one side of Rory's garden is \(5^{2}\) then the area of the garden will be equal to 625 \(feet^{2}\).
Given that Rory' garden is square in shape and the length of one side of the garden is \(5^{2}\) feet.
We are required to find the area of the garden.
Area is basically the quantity that expresses the extent of a region on the plane or on a curved surface.
Area of square=Side*Side
Area=\(5^{2}\)*\(5^{2}\)
=\(5^{4}\)
=625 \(feet^{2}\)
Hence if the length of one side of Rory's garden is \(5^{2}\) then the area of the garden will be equal to 625 \(feet^{2}\).
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Do the ratios and
4/8 and 1/7 form a proportion
The given two ratios are not form a proportion.
What is ratio and proportion?
Ratio is defined as the comparison of two quantities of the same kind by the method of division.
Proportion is an equation it is formed when two ratios are equivalent to each other.
The given two ratios are 4/8 and 1/7.
i.e., 4:8 and 1:7
By simplifying this ratio 4:8 we get 1:2
That is these two ratios are not equal.
proportion is formed only when the two ratios are equal.
Hence, the given two ratios are not form a proportion.
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u=(8,-2) and v=(5,-5) what is angle between u and v
The angle between u and v is approximately 26.6 degrees.
To find the angle between two vectors, u and v, we can use the dot product formula:
u · v = ||u|| ||v|| cosθ
where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.
Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:
u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50
Next, we find the magnitudes of u and v:
||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246
||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071
Substituting these values into the dot product formula:
50 = 8.246 * 7.071 * cosθ
Simplifying, we have:
cosθ = 50 / (8.246 * 7.071) ≈ 0.899
Taking the inverse cosine (arccos) of 0.899, we find:
θ ≈ 26.6 degrees
Therefore,To find the angle between two vectors, u and v, we can use the dot product formula:
u · v = ||u|| ||v|| cosθ
where u · v represents the dot product of u and v, ||u|| and ||v|| represent the magnitudes of u and v respectively, and θ represents the angle between the vectors.
Given that u = (8, -2) and v = (5, -5), we can calculate the dot product as follows:
u · v = (8 * 5) + (-2 * -5) = 40 + 10 = 50
Next, we find the magnitudes of u and v:
||u|| = √(8^2 + (-2)^2) = √(64 + 4) = √68 ≈ 8.246
||v|| = √(5^2 + (-5)^2) = √(25 + 25) = √50 ≈ 7.071
Substituting these values into the dot product formula:
50 = 8.246 * 7.071 * cosθ
Simplifying, we have:
cosθ = 50 / (8.246 * 7.071) ≈ 0.899
Taking the inverse cosine (arccos) of 0.899, we find:
θ ≈ 26.6 degrees
Therefore, the angle between u and v is approximately 26.6 degrees.
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Omar keeps his sneaker collection carefully arranged on the floor of his closet. 8 pairs of
sneakers fit perfectly side-by-side from one end of the closet to the other. The closet is 60
inches wide.
How wide is each pair of sneakers?
Answer:
7.5 inches wide. I wasnt wrong. for a second i thought it was asking for the width of each individual sneaker.
Answer:
each pair of sneakers are 7.5 inches wide
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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In the Sketch below KN: NL = 30:7 NP//LM , KL= 50cm , PM = 42 cm.
What is the length of LM
alg 2 - transformations of functions. need asap
(brainliest + 15 pts)
Answer:
\(y = f(x - 1) + 2\)
Step-by-step explanation:
Let's say that the dotted graph is y.
See f(3) = 0 or (3,0). Let's call that the point of interest. Notice that our point of interest has to move to the right by 1 unit to get to the dotted graph. so
\(y = f(x - 1)\)
And it has to go up by two units so
\(y = f(x - 2) + 2\)
Lorraine prepared a 4.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.5 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
3 jars
9 jars
10 jars
12 jars
12
Step-by-step explanation:
bc i did the math
Answer: The answer is 12.
Step-by-step explanation:
The answer is twelve because if you divide 1.5 by 4, it equals 0.375, and then you divide 4.5 by 0.375, you get 12! hope this helps!
What is the circumstance of the circle
Answer:
c=pie r squared is the equations and the answer is 50.27
Step-by-step explanation:
A jar of peanut butter contains 50 tablespoons of peanut butter.
How many sandwiches can you make from the jar of peanut butter, assuming you have plenty of bread and jelly?
A. 25 sandwiches
B. 9 sandwiches
C. 10 sandwiches
D. 50 sandwiches
Answer:
the correct answer is A. 25 sandwiches.
Step-by-step explanation:
Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.
Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.
So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.
Therefore, the correct answer is A. 25 sandwiches.
Answer: 25
Step-by-step explanation:
We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.
2+2...=50
At a parade, if one person occupies 2.5 square feet...and people stand along the parade route on either side of two sides of the street that is 14 feet wide by 1 mile long, how many people could comfortably attend the parade?
A) 5913.6
B) 59,136
C) 591,136
D) 5,91136
Answer:
A
Step-by-step explanation:
Which of the following linear equations are in Standard Form?
y = –23 – 1
3x + y = 4.
17 3 x + 2 y = 2
- 2x – 4y=7
3x + 6y = 12
3x + 4y = 12
Step-by-step explanation:
if the first equation is y=-23x-1 than the answer is A
1. BOWLING Brooke went bowling with her friends. She bowled 3 games, and
her average score for those games was 121. She had 117 her first game and
108 her second game. Write and solve an equation to find g, the score of
her third game.
pls show your work
Answer: x = 138
Step-by-step explanation:
\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)
If we expect to get a number less than 3, sixty times rolling a number cube, how many times would we have rolled? a.60 b.180 c.30 d.90
Answer:
c. 30
Step-by-step explanation:
60/2=30 can i get brainliest?
Six more than 7 times a number equals 10 times the number minus 12.
Answer: 64
Step-by-step explanation:
Answer:
7x + 6 = 10x - 12
Step-by-step explanation:
x = the number
six more than is +6
7 times a number is 7x
10 times the number is 10x
and minus 7 is -7
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and number of units of the image of triangle JKL if vertex J′ is at (−3, −5).
4 units down
4 units up
2 units to the right
2 units to the left
A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.
Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.
Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.
Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.
We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.
The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.
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PLEASE TELL ME WHAT TO WRITE HEREee :’)
The inequality is 12b > 180 and the number of books, b, she must sell in order to meet her goal must be more than 15 (b > 15)
How to write and solve an inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.
Given that:
Erin sells books for $12 each.
She wants to make more than $180 in book sales.
The number of books, b
Erin sells books for $12 each: 12 × b = 12b
More than $180 in book sales: > $180 (i.e greater than $180)
Thus, the inequality is:
12b > 180
Solve for b:
12b > 180
Divide both sides by 12
b > 180/12
b > 15
Therefore, the inequality is 12b > 180 and the number of books, b, she must sell in order to meet her goal is b > 15 (greater than 15)
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lim. INT(x+5)=x→4.6+
Answer:
\(\lim _{x\to4.6+}\text{INT(x}+5)=10\)Explanation: Assuming INT(x+5) is a function that returns an integer value and we need to round the answer to the nearest integer, then the answer must be as follows:
\(\begin{gathered} \lim _{x\to4.6+}\text{INT(x}+5)=\text{INT}(4.6+5)=\text{INT}(9.6) \\ \text{ 9.6 rounded to a nearest integer is 10 so:} \\ \text{INT(}9.6)=10 \end{gathered}\)Therefore the answer is 10
24, coloring books, 60 crayons, and 84 markers can be packaged into at most how many identical packages? How many of each package contain
Answer:
12 packages 2 books 5 crayons and 7 markers
Step-by-step explanation:
Due in 3 minutes Need help ASAP
Will mark you brainlist
Answer:
I think it's 10 gallons less than Evan
Members of a cross-country track team ran 142 kilometers one week. The next week the team members ran 14 more kilometers than they ran the first week Tyler estimated that the team ran 400 kilometers in the two weeks. Explain the mistake that Tyler made to get his estimate.
To answer this question, we have that:
1. We have that the members of a cross-country track team ran 142 km one week.
2. The next weak team members ran 14 km more than the first week.
Then, we have that in the two weeks they ran:
\(142+(142+14)=298\)They ran 298 km in total (this is the correct distance they ran).
Then, if we rounded this number to the nearest hundred we obtain 300 km.
When we estimate, we can round these estimations to the nearest ten, the nearest hundred, and so on.
If Tyler estimated that the team ran 400, it was because Tyler wrongly rounded:
1. Maybe he rounded 142 to the nearest hundred as 200 (it must be 100 km), and
2. (142 + 14 = 156) to the nearest hundred as 200 (it must be 200 km).
3. Then, Tyler obtained 200 km + 200 km = 400 km (it must be 100 + 200 = 300 km).
The correct estimation of 142 to the nearest hundred is 100 (because we do not have a number greater than 150). Therefore, the correct estimation to 156 is 200 (to the nearest hundred).
Hence, the correct estimation of both numbers to the nearest hundred is 300 km.
When we round to a place number, we need to look at the value to the right of this position, that is, if the value is 5 or bigger, we need to round up the place value. That is what we did, in part, in this answer.
Find the value of x and y in simplified radical form.
x and y have the values 7 and 7√2, respectively.
The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.
We can use this information to determine the values of x and y because the base is specified as being 7.
Let's give the perpendicular side the value of x, and the hypotenuse the value of y.
The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.
Consequently, x = 7.
We can determine that x:y:2x using the ratio of 1:1:2.
When we enter the value of x, we may calculate y:
7:y:√2(7)
Simplifying even more
7:y:7√2
Given that the hypotenuse (y) equals 72, we can write:
y = 7√2
Thus, x and y have the values 7 and 7√2, respectively.
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Michael spent $18 at a local farmers’ market. Apples cost $2 each and peppers cost $3 each. Select the equation that represents the scenario. O) p = 2a + 3a + 18 O) 2a + 3a = 18p O) 2p + 3a = 18 O) 2a + 3p = 18
Answer:
its B, C and E
Step-by-step explanation:
on edge
Answer:
2a + 3p = 18
Step-by-step explanation:
The total has to equal 18 so then you have $2 and $3. Apples cost $2 so the 2 should have an a for Apples. The peppers cost $3 so the 3 should have a p for peppers. So the equation would be 2a + 3p = 18.
What is (-2/3)+(7/8)?
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
\(\frac{(-2*24)/3+(7*24)/8}{24}\)=
\(\frac{-2*24/3+7*24/8}{24}\)=
\(\frac{-2*8+7*3}{24}\)=
\(\frac{-16+21}{24}\)=5/24
In the equation 3x=36+9 what is the next step in the equation solving sequence
Answer:
First step: Combine like terms, Answer: \(x=15\)
Step-by-step explanation:
First, we need the variable on the left side and constants on the right.
So, we combine like terms to get \(3x=36+9=45\).
Then, we can divide both sides by \(3\) to isolate the variable and get \(\boxed{x=15}\).
The height of a rectangular prism is 15 cm the area of its base is 270 square cm. What is the volume of the rectangular prism
Answer:
4050 cm cubed
Step-by-step explanation:
15 * 270 = 4050 cm cubed
Write a problem in which $180 would be a reasonable answer
Answer: Word problem: Mya goes to a carnival and buys food for her and her friends. She buys 5 funnel cakes that were $20 each. She buys 10 buckets of popcorn that were 8 dollars each.
Regular problem: $20+$15+$20+$100+$25=180
Step-by-step explanation: I didn't know what you needed. I'm sorry if that's not it, but hope it helps.
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
The factors of the polynomial function f(x) must be x, x + 6 and x + 3
How to determine the factorsFrom the question, we have the following parameters that can be used in our computation:
The graph (see attachment)
On the graph, we have the zeros of the function to be
x = -6, x = -3 and x = 0
Set the equations to 0
So, we have the following representation
x + 6 = 0, x + 3 = 0 and x = 0
This means that the factors are
x, x + 6 and x + 3
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Which is the graph of y - 3 = -2/3
=-(x + 6)?
6
Answer:
6 is the answer to your question
The table lists recommended amounts of food to order for 25 party guests. and are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these 45 "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with drop-in guests?
Answer:
667
Step-by-step explanation:
Answer:
It will be
1. 3
2.2
3.5
Step-by-step explanation:
HOpe this helps!
Large soda bottles are on sale three for six dollars. Sasha has eighteen dollars to spend on soda. How
many large bottles of soda can she buy?
Answer:
Sasha can buy 6 bottles of soda.
Step-by-step explanation:
6x2=18
3x2=6