Answer:
arlind paid 5 % because 900:18000= 0,05 and 0,05 is 5%
The angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30°. Find the height of the tree.
•
A. 39.1 ft
•
B. 43.3 ft
•
C. 14.4 ft
•
D. 17.7 ft
Given
\( \text{Length of the tree= 25 feet} \\ \text{Angle of Elevation= 30°}\)
To Find\( \text{Height Of The Tree}\)
\( \text{Let The Height of the Tree be ‘x’}\)
We Know:-
\( \tan\theta = \frac{ \text{perpendicular}}{ \text{base} }\)
\( \tan \theta = \frac{ \text{height of the tree}}{ \text{length of the base}} \\ \\ \implies \tan30 = \frac{ \text{x}}{25} \\ \\ \implies \text{x }= 25 \times \tan30 \\ \\ \implies \text{x }= 25 \times 0.577 \\ \\ \implies \text{x} = 14.425 \\ \\ \implies \text{x} = 14.43\)
\( \therefore \text{height of the tree(\text{x})} = \red{14.43 \: \text{feet}}\)
Option C is the correct answer
Hope This Helps!!Find the product
-3.15 x -2.6 =
Answer
1
_ ×(-63x-52)
2
Step-by-step explanation:
If the vertex of a parabola is (3,5), what is the symmetry
Answer:
axis of symmtery: x = 3 or h = 3
Step-by-step explanation:
The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where x = h.
In the standard form of quadratic equation, y = ax² + bx + c, the equation of the axis of symmetry is: \(x = \frac{-b}{2a}\).In the vertex form of the quadratic equation, y = a(x - h)² + k, the equation of the axis of symmetry is: \(h = \frac{-b}{2a}\).Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence, x = h.
Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.
Hello, I really need some help with this problem. I will give 10 points!
Solve for the missing side length. Round to the nearest tenth.
13.9
13.7
14.1
14.3
Answer:
14.3
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(14^{2}\) + \(3^{2}\) = \(c^{2}\)
196 + 9 = \(c^{2}\)
205 = \(c^{2}\)
\(\sqrt{205}\) = \(\sqrt{c^{2} }\)
14.3178210633 ≈ c
14.3 Rounded.
Helping in the name of Jesus.
there are $n$ different points on a circle. the number of triangles whose vertices are among the $n$ points is positive, and equal to the number of hexagons whose vertices are among the $n$ points. what is $n?$
The number of points on circle or the value of 'n' is 9.
From the combination formula, C(n, r) = n!/(r!(n - r)!)
So here total number of points on circle is = n
The number of points needed to form a triangle is = 3.
So number of triangles whose vertices are among those n points is = C(n, 3)
The number of points needed to form a hexagon = 6
So number of hexagon whose vertices are among those n points is = C(n, 6)
According to given information this numbers are equal, so the equation best suited to this situation is,
C(n, 3) = C(n, 6)
n!/(3!(n - 3)!) = n!/(6!(n - 6)!)
[n(n - 1)(n - 2)]/3! = [n(n - 1)(n - 2)(n -3)(n - 4)(n - 5)]/6!
(n - 3)(n - 4)(n - 5) = 6!/3!
(n - 3)(n - 4)(n - 5) = 6*5*4
We can see that both sides form AP. So comparing the both sides,
n - 3 = 6
n = 6 + 3 = 9
Again from n - 4 = 5
n = 5 + 4 = 9
Again from n - 5 = 4
n = 4 + 5 = 9
Hence the number of points is 9.
To know more about combination formula here
https://brainly.com/question/28065038
#SPJ4
Instructions: Complete the following proof by dragging and
dropping the correct reason into the space provided.
Given: m/1 = m/3
Prove M/1 =M/3
m<EBA = m<DBC because the triangle has the same angle measures
How to prove the statementTo prove that m<EBA = m<DBC, we need to know the following;
Adjacent angles are equalCorresponding angles are equalAn obtuse angle is usually more than 180 degreesAngles at a point is 360 degreesFrom the information given, we have that;
m<1 = m<3
Then, we can say that m<EBA = m<DBC because the triangle has the same angle measures
Triangle EDB is an isosceles triangle such that two of its sides and angles are equal
Learn more about angles at: https://brainly.com/question/25716982
#SPJ1
Translate this sentence into an equation.
Six more than the quotient of a number and 7 is equal to S
Use the variable c for the unknown number.
The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.
What is the quotient?
A quotient is defined as when dividing one number by another, the result is called the quotient.
What is the equation?
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given a variable c therefore, the translation of the given equation :
six more than can be expressed as 6+ or +6.
A quotient, commonly known as c/7, is the solution to a division issue and can also be a fraction.
and "equals 5" is clearly equal to 5 or =5, hence the result is 6 + (c/7) = 5.
The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.
Learn more about the quotient here:
brainly.com/question/27796160
#SPJ1
Tell whether the triangle with the given side lengths is a right triangle. 45 in., 26 in., 51 in.
A it is nearly but not a right angled triangle.
Step-by-step explanation:
I used pythagorous theorum.
Answer:
No it is not
Step-by-step explanation:
Hypotenuse is the longest side
A ² = B² + C² (Using Pythagoras theorem)
51² = 45² + 26²
2601 =2025 +676
2601 = 2701
This is not a right angle triangle
Square root of 2701 is 51.57 and that is equivalent to 52
it is not necessary to have a base case in all recursive algorithms true or false
False. It is necessary to have a base case in all recursive algorithms.
A base case is a condition that stops the recursion process and returns a result. Every recursive algorithm must have a base case. The base case is the point at which the recursion will stop, and the function will begin to return the values from the call stack. The base case is necessary to stop the recursive algorithm from entering an infinite loop that will cause it to consume all available resources, resulting in a stack overflow error. If there is no base case, the algorithm will continue to call itself until the stack overflows, which will result in a runtime error.
In conclusion, a base case is essential in all recursive algorithms, and the lack of one can result in a stack overflow error.
To know more about recursive algorithms visit:
brainly.com/question/32999356
#SPJ11
Suppose you and your twin have different insurance plans. Your insurance plan has a fixed copay of $40 for each doctor's visit, but your twin's copay is 20% of the total cost. The local dentist charges $150 for a cleaning. Which of the following is most likely true? You will visit the dentist more. Your twin will visit the dentist more. You and your twin will visit the dentist the same number of times. Your twin will switch insurance plans.
Your twin is likely to visit the dentist more frequently than you due to the difference in insurance plans.
Based on the given information, your insurance plan has a fixed copay of $40 for each doctor's visit, while your twin's copay is 20% of the total cost. Considering the local dentist charges $150 for a cleaning, you would pay a fixed copay of $40 regardless of the total cost. On the other hand, your twin's copay would be 20% of $150, which amounts to $30. Therefore, your twin would have a lower out-of-pocket expense for each dentist visit compared to you.
Due to the lower copay, your twin is more likely to visit the dentist more frequently. The difference in copayments means that your twin would save $10 on each visit, making it more cost-effective for them to seek dental care. This financial advantage would incentivize your twin to take better advantage of their insurance plan and visit the dentist more often.
Based on this reasoning, it is unlikely that you and your twin would visit the dentist the same number of times. Furthermore, there is no indication in the given information that your twin would switch insurance plans, as their plan offers a more favorable copayment structure for dental visits.
Learn more about difference here:
https://brainly.com/question/30241588
#SPJ11
Write the equation of the line that passes through the points (4, -3) and
(3,2). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
y+3=-5(x-4)
Add 20 characters to explain the point
\sqrt{-81} *\sqrt{-49}
Answer: -63
Work Shown:
\(\sqrt{-81} *\sqrt{-49}\\\\9i *7i\\\\63i^2\\\\63(-1)\\\\-63\\\\\)
Find an equation of the circle that has center (-2, 6) and passes through (6, 2)
Please help! I’ve tried looking for the answer and trying to solve the problem but none of the answers I’ve done are right. I need to get this question right so it’s be much appreciated if you helped me out. Thank you so much and have a great day!
Answer:
(x+2)^2+(y-6)^2=80
Step-by-step explanation:
equation of a circle : \((x-a)^{2} +(y-b)^{2}=r^2\\\)
where (a,b) is the center and r is the radius
r = distance between two points
r = \(\sqrt{(6-(-2))^2+(2-6)^2} =\sqrt{8^2+(-4)^2} =\sqrt{64+16} =\sqrt{80}\)
equation of the circle = \((x+2)^2+(y-6)^2=80\)
The circle below has center C
well, we know that the angle DCE is 100°, and since a circle has a total of 360°, angle DFE must be 260°, and we also know that its radius is 7.
\(\textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=7\\ \theta = 260 \end{cases}\implies \begin{array}{llll} s=\cfrac{\pi (260)(7)}{180}\implies s=\cfrac{91\pi }{9} \\\\\\ ~\hfill s\approx 31.76 \end{array}\)
Iready: using a graph to analyze a functional relationship.
Describe the function between x = -4 and x = -1
Answer:
A
Step-by-step explanation:
Hello! The answer is linear and increasing !
Step-by-step explanation:
As you see on the graph it’s increasing ! And it’s linear !
How many solutions does this equation have x^4 - 6x^2 -7 = 0
Answer:
2 solutions
Step-by-step explanation:
x^4-6x^2-7=0
Replace x^2 by y
(x^2)^2-6x^2-7=0
y^2-6y-7=0
D=b^2-4ac= (-6)^2-4*1*(-7)= 36+28=64
sqrtD=8
y1=(-b-sqrtD)/2a=-2/2=-1
y2= (-b+sqrtD)/2a=14/2=7
x^2=-1(n0 roots) x^2=7 x=sqrt7 or x=-sqrt7
2 roots
Help me please guys
Answer:
m = 5, n = - 1
Step-by-step explanation:
Given
x² + 4x - 5
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)
The factors are + 5 and - 1 , since
5 × - 1 = - 5 and 5 - 1 = + 4 , then
x² + 4x - 5 = (x + 5)(x - 1)
with m = 5 and n = - 1
what measurement is equivalent to 3 meters
A- 9 centimeters
B- 36 centimeters
C- 100 centimeters
D- 300 centimeters
the square root of 50x^4 y^6 z^7
Answer:
Image attached with work shown.
The system of equations y = negative one-half x + 4 and y = 2x – 1 is shown on the graph below. According to the graph, what is the solution to this system of equations? (2, 3) (3, 2) (–1, 4) (4, –1)
Answer:
(2, 3 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
point of intersection = (2, 3 ) ← is the solution
let g = a × a where a is cyclic of order p, p a prime. how many automorphisms does g have?
The answer to this question is that the number of automorphisms of g, where g = a × a and a is cyclic of order p, is equal to 2.
An automorphism is a bijective homomorphism from a group to itself. In other words, an automorphism preserves the group structure and the bijection property. For g = a × a, we can define an automorphism f(g) as f(g) = a^-1ga.
To show that there are only two automorphisms for g, we can consider the possible values of f(a) for the automorphism f(g). Since f(g) must preserve the group structure, f(a) must be an element of the cyclic group generated by a. Therefore, f(a) can only be a^k, where k is some integer between 0 and p-1.
However, we also know that f(g) = a^-1ga. So if f(a) = a^k, then f(g) = a^-1(a^ka)a = a^(k+1). Therefore, there are only two possible automorphisms for g: the identity automorphism (which maps a to itself) and the automorphism which maps a to a^-1.
In summary, the number of automorphisms of g = a × a, where a is cyclic of order p, is equal to 2: the identity automorphism and the automorphism which maps a to a^-1.
To learn about Cyclic quadrilaterals, visit:
https://brainly.com/question/10057464
#SPJ11
Give another name for angle three
Angle DEG
Angle DGE
Angle FDG
Angle EDG
Answer:
edc
Step-by-step explanation:
I think because those all connect
Noise levels at 5 airports were measured in decibels yielding the following data:
162,176,162,141,159
Construct the 90% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
Step 1 of 4:
Calculate the sample mean for the given sample data. Round your answer to one decimal place.
Step 2 of 4:
Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.
Step 3 of 4:
Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Step 4 of 4:
Construct the 90% confidence interval. Round your answer to one decimal place.
The 90% confidence interval for the mean noise level at these airport locations is approximately (148.1, 171.9).
Step 1 of 4:
To calculate the sample mean for the given sample data, we sum all the values and divide by the sample size.
Sample mean = (162 + 176 + 162 + 141 + 159) / 5 ≈ 160.0 (rounded to one decimal place)
Step 2 of 4:
To calculate the sample standard deviation, we need to find the differences between each data point and the sample mean, square those differences, sum them up, divide by the sample size minus 1, and then take the square root.
Deviation from mean: (162 - 160)^2, (176 - 160)^2, (162 - 160)^2, (141 - 160)^2, (159 - 160)^2
Sum of squared deviations = (2^2 + 16^2 + 2^2 + (-19)^2 + (-1)^2) = 590
Sample standard deviation = sqrt(590 / (5 - 1)) ≈ 9.6 (rounded to one decimal place)
Step 3 of 4:
To find the critical value for a 90% confidence interval, we need to look up the t-value in the t-distribution table with (n-1) degrees of freedom. Here, n is the sample size, which is 5.
Degrees of freedom = 5 - 1 = 4
Looking up the t-value for a 90% confidence level and 4 degrees of freedom, we find it to be approximately 2.776 (rounded to three decimal places).
Step 4 of 4:
To construct the 90% confidence interval, we use the formula:
Confidence interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))
Confidence interval = 160.0 ± (2.776 * (9.6 / sqrt(5)))
Calculating this expression will give us the lower and upper bounds of the confidence interval.
Confidence interval = 160.0 ± (2.776 * 4.297) ≈ 160.0 ± 11.9 (rounded to one decimal place)
Using the sample mean, standard deviation, and critical value, we constructed a 90% confidence interval for the mean noise level, which is approximately (148.1, 171.9) decibels. This confidence interval provides an estimate of the range within which the true mean noise level at these airports is likely to fall with 90% confidence.
To know more about confidence interval refer here:
https://brainly.com/question/32278466?#
#SPJ11
33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 50 college students are randomly selected, find the probability that exactly 14 of them major in STEM.
The probability that exactly 14 college students major in STEM out of 50 randomly selected students is 0.118 or approximately 11.8%. Probability is a part of statistics that is used to calculate the likelihood of an event occurring.
Probability is a part of statistics that is used to calculate the likelihood of an event occurring. It is the branch of mathematics that focuses on measuring uncertainty and predicting the likelihood of an event's occurrence. In this problem, we are trying to calculate the probability that exactly 14 college students major in STEM when 50 students are randomly selected from all college students.
The probability of exactly 14 students out of 50 majoring in STEM can be calculated using the binomial probability formula. This formula is used when there are only two possible outcomes, success or failure, for each trial. In this case, a student can either major in STEM or not major in STEM.
The formula for calculating the probability of x successes in n trials is:
P(x) = nCx * \(p^x\) * \(q^{(n-x)\)
where
P(x) is the probability of x successes
n is the total number of trials
x is the number of successes
p is the probability of success
q is the probability of failure, which is equal to 1 - p
nCx is the number of ways to choose x items out of n items
Using the formula, we can calculate the probability of exactly 14 college students majoring in STEM out of 50. Here, p = 0.33 and q = 0.67.
P(14) = 50C14 * \(0.33^{14\) * \(0.67^{36\)
= 0.118
Therefore, the probability that exactly 14 college students major in STEM out of 50 randomly selected students is 0.118 or approximately 11.8%.
To know more about probability visit: https://brainly.com/question/31828911
#SPJ11
the poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.truefalse
The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.
The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.
Learn more about “ probability of occurrence “ visit here;
https://brainly.com/question/28320298
#SPJ4
The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.
Given statement is False.
Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.
The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.
The Poisson distribution has several important properties, including:
Its mean is equal to λ, and its variance is also equal to λ.
It is a discrete distribution, meaning that it models only whole numbers of events.
It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.
For similar question on poisson distribution.
https://brainly.com/question/9123296
#SPJ11
9 to the 2 power fwiadshjfha
Answer:
Step-by-step explanation:
\(9^2=9(9)=81\)
9²= 9x9= 81 is the answer
Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
To know more about Convenience purchases:
https://brainly.com/question/30247858
#SPJ4
Translation along vector (-3, 1
Rotation 360 degrees about the origin
Rotation 270 degrees counterclockwise about the origin
Translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).
Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).
Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' = (5 , 4).
Given, the points
J(2 , -5) , K(-1 , -3) and L(-4 , 5)
(a) Now, Translation along the vector (-3 , 1) is
J' = (2 - 3 , -5 + 1) = (-1 , -4)
K' = (-1 - 3 , -3 + 1) = (-4 , -2)
L' = (-4 - 3 , 1 + 1) = (-7 , 2)
(b) Now, Rotation of 360° about the origin is
J' = (2 , -5)
K' = (-1 , -3)
L' = (-4 , 5)
(c) Now, Rotation of 270° counterclockwise about the origin is
J' = (-5 , -2)
K' = (-3 , 1)
L' = (5 , 4)
Hence, translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).
Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).
Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' = (5 , 4).
Learn more about Coordinate Geometry here https://brainly.com/question/18269861
#SPJ9
help me please please please!!!
What formula should be used to calculate an unknown side of a right angled triangle
when the hypotenuse (c) and one other side (b) are known?
a) Oa^2 = b^2-c^2
b) Oa^2 = c^2 + b^2
c) Oa^2 = c^2-b^2
d) Oc^2 = a^2 - b^2
e) Oc^2 = b^2- a^2
Answer:
c) Oa^2 = c^2-b^2
Step-by-step explanation:
the formula of finding hypotenuse (c) is
c^2 = a^2 + b^2
that means c^2 - b^2 = a^2
a^2 = c^2 - b^2.