The approximate total amount of string needed to keep the tree perpendicular to the ground is 4.02 feet, which is closest to answer choice C, 5.83 ft.
Assuming that Luis attached the ropes at the same height on the tree, the length of the rope needed for each side of the tree would be equal to the distance from the tree to the stake.
To keep the tree perpendicular to the ground, the distance from the tree to the stake should be equal to half of the diameter of the tree's canopy.
However, since the diameter of the canopy is not given, we can estimate it based on the height of the tree.
According to some tree experts, the average height-to-canopy-diameter ratio for a mature tree is about 5:1.
This means that if the tree is 20 feet tall, its canopy diameter is approximately 4 feet.
Using this estimate, we can assume that the canopy diameter of Luis's tree is about 4 feet, or 1.33 yards.
Thus, the distance from the tree to the stake should be approximately 0.67 yards.
Since there are two sides of the tree, Luis would need a total of 2 times 0.67 yards, or approximately 1.34 yards of rope.
Converting yards to feet, we get:
\(1.34 yards * 3 feet/yard = 4.02 feet\)
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2.2. South African friends of the Netherlands couple departed from Pretoria at 04h30am to spend the holiday with them. Their journey is described as follows: On their way from Polokwane they took the turn-off to the R521 route. Rest for 45 minutes at Dendron and took 15 minutes to do someshopping and till up the car's fuel tank at All days. 2.2.1. If the scale of the map is given as 1: 3 000 000 and the distance measured on the map between Beitbridge and Musina is 1,3 cm. calculate (in km) the actual distance between Beitbridge and Musina. ● (3)
The actual distance between Beitbridge and Musina is 3,900,000 kilometers.
To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.
The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.
The measured distance on the map between Beitbridge and Musina is 1.3 cm.
To find the actual distance, we can set up a proportion using the scale:
1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.
Simplifying the proportion, we have:
1 / 3,000,000 = 1.3 / x.
Cross-multiplying, we get:
x = (1.3 * 3,000,000) / 1.
x = 3,900,000 / 1.
x = 3,900,000 km.
The actual distance between Beitbridge and Musina is 3,900,000 kilometers.
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At a county fair carnival game there are 25 balloons on a board, of which 10 balloons are yellow, 8 are red, and 7 are green. A player throws darts at the balloons to win a prize and randomly hits one of them. Given that the first balloon hit is yellow, what is the probability that the next balloon hit is also yellow?
The probability of hitting a yellow balloon on the first try is 10/25 or 2/5. After hitting the first yellow balloon, there are now 24 balloons left on the board, with 9 of them being yellow. The probability of hitting a yellow balloon on the second try is 9/24 or 3/8. To find the probability of both events happening, we multiply the probabilities together:
P(first yellow) * P(second yellow) = (2/5) * (3/8) = 6/40 = 3/20
Therefore, the probability that the next balloon hit is also yellow given that the first balloon hit is yellow is 3/20.
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b(-3)=-12
Find the solution
Answer:
b =4
Step-by-step explanation:
Remove parentheses.\(b * -3 =-12\)
2. Regroup terms
\(-3b=-12\)
3. Divide both sides by -3.
\(b=\frac{-12}{-3}\)
4. Two negatives make a positive.
\(b=\frac{12}{3}\)
5. Simplify \(\frac{12}{3}\) to 4.
b = 4
Find the value of 2c - 3D when c = 6 and d = 4
Stone runs 1 mile five times a week. How many miles does 4 he run each week? Write the equation you would use to solve. Then, fill in the grid with your answer. Tip: Fill in your answer as a fraction greater than 1.
The number of miles in 4 weeks is 20 mules
How to determine the number of milesFrom the question, we have the following parameters that can be used in our computation:
Stone runs 1 mile five times a week
This means that the rate is
Rate = 1 mile * 5 per week
So, we have
Rate = 5 miles per week
For 4 weeks, we have
Distance = 5 * 4
Evaluate
Distance = 20 miles
Hence, the distance is 20 miles
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Which ordered pair or pairs are solutions to the equation? Select ALL that apply.
Y-1= 1/6(x+5)
A. (1,2)
B.(1,-2)
C.(5,0)
D.(5,6)
Answer:
c
Step-by-step explanation:
its c because i got 100% on the topic test
Express the interval using inequality notation,
-4,5
Answer:
First you mark me Brainlyist
Step-by-step explanation:
Then you you use the intervol of I don’t know then you ask someone else
In how many ways can you arrange nine CDs one after another on a shelf?
Answer:
The number of arrangements of the 9 CDs along a shelf is 362,880.
Step-by-step explanation:
MARK AS BRAINLIEST PLZ :)
Answer:
the answer to your question is 362880
the measure of 2 angles are (3y+11) and (11 y+15). What is the value of y if the angles are congruent
As a result, if the two angles' measurements are (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.
What is angle?An angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. The rays are also known as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees. Angles can also be measured in radians, which are another unit of angular measurement used in mathematics and physics. One radian is equal to the angle subtended by an arc of a circle that has a length equal to the radius of the circle. The size of an angle is determined by the amount of rotation that occurs between the two rays. This is typically measured relative to the positive x-axis, with counterclockwise rotations being considered positive and clockwise rotations being considered negative. Angles are used in a wide range of mathematical and scientific applications, including geometry, trigonometry, physics, engineering, and architecture. They are also used in many everyday situations, such as measuring the size of an opening or the angle of incidence of sunlight on a surface.
Here,
If the two angles are congruent, then they must have the same measure.
So we can set the expressions for the measures of the two angles equal to each other and solve for y:
3y + 11 = 11y + 15
Subtracting 3y from both sides:
11 = 8y + 15
Subtracting 15 from both sides:
-4 = 8y
Dividing both sides by 8:
y = -1/2
Therefore, if the measure of the two angles is (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.
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what is the maximum of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
B
the test statistic for testing equality of proportions multiple select question. assumes when samples are large that p1 - p2 is normally distributed. uses a pooled proportion to calculate the standard error. is a t statistic. is a z score
The test statistic for testing equality of proportions is a z-score. It is calculated by dividing the difference in sample proportions by the standard error. The resulting z-score is then compared to critical values from the standard normal distribution to determine the statistical significance of the difference in proportions.
The correct options for the test statistic for testing the equality of proportions in a multiple-select question are:
Assumes when samples are large that p1 - p2 is normally distributed.
Uses a pooled proportion to calculate the standard error.
Is a z-score.
When the samples are large, the difference between two proportions (p1 - p2) can be approximated to follow a normal distribution. This assumption is based on the Central Limit Theorem.
To calculate the standard error in this scenario, a pooled proportion is used. The pooled proportion combines the proportions from both samples to estimate the common population proportion.
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Eight of the 50 digital video recorders (dvrs) in an inventory are known to be defective. what is the probability that a randomly selected item is defective?
The probability of selecting a defective bulb is 0.16.
Given: 8 Bulbs are defective out of 50 bulbs. To find the probability that a randomly selected item is defective.
What is probability?
Probability shows the possibility of how likely an event is happening to occur out of all the possibilities.
Let’s solve the problem:
Total number of video recorders: 50
The sample space n(S) = 50
Number of defective bulbs: 8
Let E be the event of selecting a defective bulb.
Then n(E) = 8
Therefore, the probability of selecting a defective bulb: Number of defective bulbs / Total number of bulbs
=> n(E) / n(S)
=> 8 / 50
=> 0.16
Hence the probability of selecting a defective bulb is 0.16.
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Sixty tickets at $70 each cost
Answer:
60x$70=$4100
Step-by-step explanation:
ekdjnsjs
Answer:
60 x 70= 4200$
Step-by-step explanation:
60
70 x
_____
(jk no need to do this just multiply them this way,because there are zeros just multiply 6 and 7 which equals 42 then add the zeros which are equal to= 4200$
A garden table and a bench cost $746 combined. The garden table costs $46 more than the bench. What is the cost of the bench?
Answer: The bench would cost about 396$
hope I helped you :D
Answer:
the bench costs $350
Step-by-step explanation:
Let's assume cost of table be T and bench be B
therefore, T+B= 746 ...........(1)
while we are given T= B+46 ............(2)
using (2) in (1)
[B+46] + B =746
2B= 700
B=350
So, cost of bench= $350
after paying 5.12 salad , kamauri has 27.10
The amount of money that Kamauri has at first will be 32.22.
How to calculate the cost?From the information, it was stated that after paying 5.12 for salad, Kamauri has 27.10.
Based on the information given, the total amount of money that he had at first will be the addition of the cost of salad and the change left.
This will be illustrated as:
= 5.12 + 27.10
= 32.22
The amount is 32.22.
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After paying 5.12 for salad, Kamauri has 27.10. What was the total amount of money that he had at first?
4 - Зc — 5c2
write the polynomial in standard form.
A bottle of perfume cost $26.00 for a 1/2 ounce bottle what is the price per ounce
Answer:
52
Step-by-step explanation:
If half is 26, then the whole ounce would be 2x 26
=52
if r=1 and 0=5pi/6 what is the approximate arc length?
Answer:
B. 2.618 units
Step-by-step explanation:
the arc length = (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
The arc length is = 2.618 units
what is arc length of a circle?Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc. Arc length is a fraction of the circumference of the circle.
Given : r=1, \(\theta\)= 5π/6
Now, arc length
= \(\theta\)/ 2π * 2πr
= (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
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hu and colleagues (2001) studied how organizational citizens affect customer service. the conclusions they drew were limited because tellers were not randomly assigned to treatment conditions. how did they address such concerns?
Hu and colleagues (2001) addressed concerns about the lack of random assignment to treatment conditions by using a quasi-experimental design.
In their study, Hu and colleagues (2001) used a quasi-experimental design to examine how organizational citizenship behaviors (OCBs) of bank tellers affect customer service. A quasi-experimental design is a type of research design that lacks the random assignment of participants to treatment conditions, which is a key characteristic of true experimental designs.
To address the concerns about the lack of random assignment in their study, Hu and colleagues (2001) used statistical techniques to control for potential confounding variables and to increase the internal validity of their findings. They also carefully selected their sample of bank tellers and customers to ensure that the groups were as similar as possible, which helped to increase the external validity of their study.
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Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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Which of the following polygons are quadrilaterals? Select all that apply.
Factor each expression that can be factored. For an expression that cannot be factored into a product of two binomials, explain why. x²+2 x+1 .
The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ x² + 2x + 1
Factorize the expression, then the factor of the expression will be
⇒ x² + x + x + 1
⇒ x(x + 1)x + 1(x + 1)
⇒ (x + 1)(x + 1)
⇒ (x + 1)²
The product of two binomials will be (x + 1) and (x + 1).
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Given that the two triangles shown are congruent, explain one way to verify that the corresponding angles of the two triangles are congruent.
Answer:
A) Is correct
Step-by-step explanation:
Tran baked 152 desserts in 11-
11/1 months. Find Tran's dessert making
rate in desserts per month.
Answer:
First, we need to convert 11-11/1 months into a decimal number of months.
11-11/1 months = 11 - 1/1 = 10
Now we can calculate Tran’s dessert making rate:
152 desserts / 10 months = 15.2 desserts per month
So Tran’s dessert making rate is 15.2 desserts per month.
Step-by-step explanation:
Square inscribed in a circle with radius 16.
I’ll mark u as a brainliest!!
Answer:
if your trying to find the area of the square it's 1024 if your trying to find the circumference of the circle it's 32π ( also known as 32 x pi)
Order the following events in terms of likelihood. Start with the least likely event and end with the most likely.*You randomly select an ace from a regular deck of 52 playing cards.*There is a full moon at night.*You roll a die and a 6 appears.*A politician fulfills all his or her campaign promises.*You randomly select the queen of hearts from a regular deck of 52 playing cards.*Someone flies safely from Chicago to New York City, but his or her luggage may or may not have been so lucky.*You randomly select a black card from a regular deck of 52 playing cards.
Starting with the least likely event, the chances of a politician fulfilling all his or her campaign promises can be quite low due to the complexities of politics and the potential for unforeseen circumstances.
Next, while full moons are relatively common, they occur approximately once a month, making it more likely than the politician's scenario but less likely than the other events.
Rolling a die and getting a 6 has a higher likelihood as there is a 1 in 6 chance of rolling a 6 on a fair six-sided die. The safe arrival of a person in New York City from Chicago is more probable than the previous events but still has an element of uncertainty regarding the fate of their luggage.
Randomly selecting an ace from a regular deck of 52 playing cards has a higher probability compared to the previous events, as there are four aces in a deck. The likelihood increases further when randomly selecting the queen of hearts, which is only one specific card out of the 52-card deck.
Finally, selecting a black card from a regular deck has the highest probability among the listed events since there are 26 black cards in the deck, including all the clubs and spades.
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What value of will make the triangles similar by the similarity theorem?
As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.
Similarity theorem:
In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Given,
Here we need to find the t value of will make the triangles similar by the similarity theorem.
For example, we are told that the 2 triangles are similar by SSS theorem.
Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Therefore, in the triangles ,applying the SSS postulate gives;
=> x/35 = 44/20
Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;
=> x = (44 * 35)/20
When we simplify this one then we get,
=> x = 77
Therefore, the value of x is 77.
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let t1 and t2 be linear transformations from v to w. if t1 and t2 are both one-to-one, then t1 t2 is one-to-one
The statement is true. If both t1 and t2 are one-to-one, then t1 t2 is one-to-one.
How do one-to-one linear transformations affect composition?Where t1 and t2 are both linear transformations from vector space V to vector space W, this is the result of the composition of functions. The composition t1 t2 is a new function that is formed by applying t1 to the output of t2. If both t1 and t2 are one-to-one, then the composition t1 t2 is also one-to-one.
To prove this, let's assume that t1 t2 is not one-to-one, which means that there exist two different inputs in V that produce the same output in W under t1 t2. Let's call these two inputs x1 and x2, and their corresponding outputs y in W. Since t1 is one-to-one, it follows that t1(x1) and t1(x2) are different vectors in W. However, since t1 t2(x1) = t1 t2(x2) = y, we can see that t2(x1) and t2(x2) are the same vector in V.
This contradicts the assumption that t2 is one-to-one, and therefore the original assumption that t1 t2 is not one-to-one is false. Thus, we can conclude that if t1 and t2 are both one-to-one, then t1 t2 is also one-to-one.
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Give an example to show that when two prime numbers are added, the result
may be an odd number.
Answer:
2+3=5
Step-by-step explanation:
prime numbers =2 and 3
sum =5 which is odd
What is the unit rate?
please help! whoever answers first and gets it right gets marked brainliest!
Answer:
1200 miles per hour :)
Step-by-step explanation:
if you need more details let me know :)
Answer:
For every miles, the rover gains 12,000 miles
Step-by-step explanation:
I was able to determine this by looking at the graph and determining what the difference between the points. When I found out the each 2 miles is 24,000, i divided 24,000 by two find the unit rate.