Answer:
1.5
2.1/5
Step-by-step explanation:
the angle of elevation from a rowboat moored 75 feet from a cliff is 73.8 degrees.find the height of the cliff to the nearest foot.
The height of the cliff is approximately 269 feet.
We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.
The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).
To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.
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A. In the figure below find LK
AJKL~ATUV
40
U
V
108
60
K
T
L
6x +12
The length of the side LK is 48
How to determine the valueFrom the information given, we have that;
The triangles JKL and the triangle TUV are equal
Then, we have that;
The adjacent side of JKL is 40
The adjacent side of TUV is 6x + 12
Now, equate the lengths of the sides, we have;
6x + 12 = 48
Now, collect the like terms, we have;
6x = 48-12
subtract the values, we have;
6x = 36
Divide both sides by the coefficient, we get;
x = 6
Then, LK = 6(6) + 12 = 36 + 12 = 48
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Which fraction and decimal forms match the long division problem?
Answer: C
Step-by-step explanation: C
2 divided into 9 parts is 2/9.
Let's' explain this visually
Take this pizza, (image below)
Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.
Now 2/9=0.2 repeating!
This is how I got my answer sorry for the vague explanation
The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of
symmetry of the transformed graph?
Answer:
x = -1
Step-by-step explanation:
The axis of symmetry of the graph \(y=(x-3)^2\) is x=3 but,
If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:
\(x=3-4\\x=-1\)
-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is
(-1 , -2) I attached an image so you can visualize clearly
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer: Reflect across the Y and and move it 7 down
Step-by-step explanation: Reflecting across the Y will turn the (X,Y) into (-X,Y) then you just count how many places the image is away from the preimage.
Perform the following operation and express the answer in scientific notation 9.2x10^7 / 3.7x10^9
Answer:
the coefficient is 96 and the exponent is 16... should I explain how?
The solution of the expression is 2.486 * 10⁻².
What is Scientific Notation?Scientific Notations are used to write very small and very large numbers.
The expression is (9.2 * 10⁷ ) / (3.7 *10⁹)
The exponent rule will be applied to solve this expression
\(\rm \dfrac{a^m}{a^n} = a^{m-n}\)
9.2/3.7 = 2.486
10⁷ / 10⁹ = 10⁻²
The solution of the expression is 2.486 * 10⁻².
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Calculate expression value : G = 2x^3 + 35x^2 + 15x + 1 with x = -17
Find all the real fourth roots of 256/2401:
a. 4/7 and 16/49
b. -4/7 and 4/7
c. 4/7, -4/7, 16/49, and -16/49
d. 4/7
how to graph two step inequalities?
Pleaseeeeeee helpppp!!!!!!!
Answer:
It's somewhat easy:
Step-by-step explanation:
1. Undo the addition/subtraction first (using the inverse operations)
2. Then undo the multiplication/division
Holly earned 800 more than she did last year what integer what represents this scenario?
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Express the formula d=rt in terms of the time,t. Use your formula to find the time when the distance is 40 and the rate is 8.
The expression for d=rt in terms of the time is t = d/r; t = 5.
What is time? Time can be defined as a continuous and ongoing sequence of events that occur consecutively from the past to the present to the future. Time is used to measure, measure or compare the duration of events or the intervals between them, and even the sequence of events. Time is a useful concept that we use in our daily life. We have to watch when we cook, play, study, go to school, meet someone, etc. So knowing the right time is very important. Time is usually the answer to when an event happens or happened. The concept of time determines when a certain event occurs, has occurred or will occur. Time is a measurable quantity and is also infinite. The time is calculated in seconds, minutes, hours, days, months and years.Therefore,
In the equation d=rt
t = d/r
when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
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find two consecutive odd integers whose sum is 112
Answer:
55 and 57
Step-by-step explanation:
hope this helps
How do I find the Area of a Cylinder
Answer:
A=2πrh+2πr^2
Step-by-step explanation:
Rain is falling steadily at 5.2 millimeter per hour. How much rain fall in 90 minutes?
Answer:
7.8 ml
Step-by-step explanation:
1 hour = 5.2 ml of rain
90 mins = 1 hours and 30 mins
5.2 / 2 = 2.6
5.2 + 2.6 = 7.8
the point p is on the unit circle. if the y-coordinate of p is 48 , and p is in quadrant ii , then
The x-coordinate of P is -√(-2303), which is found to be approximately -47.9894.
The point P is on the unit circle. If the y-coordinate of P is 48, and P is in Quadrant II, then, to find out the x-coordinate of P, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let O be the origin (0, 0), and let A be the point on the unit circle that intersects the line y = 48 and is in Quadrant II.
We know that OA = 1, and we need to find the x-coordinate of A.
Since A is in Quadrant II, its x-coordinate is negative.
The y-coordinate of A is the length of the side opposite to the angle between the hypotenuse and the x-axis, and the hypotenuse is 1 unit long.
Therefore, the length of the adjacent side (the x-coordinate of A) is given by:
x = -√(1² - 48²)
= -√(1 - 2304)
= -√(-2303) ≈ -47.9894
Therefore, the point A is approximately (-47.9894, 48) on the unit circle. In summary, the x-coordinate of P is -√(-2303), which is approximately -47.9894.
The point A is approximately (-47.9894, 48) on the unit circle.
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f(x)=(x^2-x)/(x+1)
pls show work
Answer:
x - 2 + 2/(x + 1)
Step-by-step explanation:
These are really hard to type out and get the spacing right, so see the attached printout from a website that does carefully show steps in a polynomial division problem.
The website is:
https://www.emathhelp.net/calculators/algebra-1/polynomial-long-division-calculator/?numer=x%5E2-x&denom=x%2B1
Of the 650 students at Westmoreland Junior high, 80% will attend the field trip. How many student will attend the field trip?
Answer:
520 students
Step-by-step explanation:
Rewrite 80% as a fraction:
8/10
Multiply the total students at school by the fraction going on the field trip:
650 * (8/10) = 5200/10 = 520
need help with this question
The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.
What is an explicit formula?
The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.
Here, we have
Given: the sequence 14,16,18,….
First term a₁ = 14
Common difference d = 16 - 14 = 2
Now, plug the values into the above formula and simplify.
aₙ = a₁ + d( n - 1 )
aₙ = 14 + 2( n - 1 )
aₙ = 14 + 2n - 2
aₙ = 14 - 2 + 2n
aₙ = 2n + 12
Hence, the explicit formula is aₙ = 2n + 12.
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Which expression does the graphic represent?
Answer:8-1
Step-by-step explanation:If you have eight dollars and you spend one you are 1 dollar short
Which of the following number sentences illustrates the associative property of addition?
35 + 2 = 2 + 35
8+ 0 = 8
14 + 10 = 24
19 + (1 + 17) = (19 + 1) + 17
Answer:
the last one
Step-by-step explanation:
think of the numbers 'associating' with each other
in 19 + (1 + 17) the numbers 1 and 17 are associating
in (19 + 1) + 17 the numbers 19 and 1 are associating
35 and 50 (make a chart, list all factors, and make factor tree)
Answer:
35 50
1 2
5 5
7 10
35 25
50
Factor Trees are in the images!
Find the H.C.F of the following numbers by the prime factorization method
a)18 and 27
b)35and 75
c)144and 360
d)30,40and45
e)144,384and432
Answer:
Step-by-step explanation:
is a 18 and 27 yes to the following question
a) 18 = 2 x 3^2
27 = 3^3
-> HCF = 3^2 = 9
b) 35 = 5 x 7
75 = 3 x 5^2
-> HCF = 5
c) 144 = 2^4 x 3^2
360 = 2^3 x 3^2 x 5
-> HCF = 2^3 x 3^2 = 72.
d) 30 = 2 x 3 x 5
40 = 2^3 x 5
45 = 3^2 x 5
-> HCF = 5
e) 144 = 2^4 x 3^2
384 = 2^7 x 3
432 = 2^4 x 3^3
-> HCF = 2^4 x 3 = 48.
Use the picture below to
# 1) Your realized income is $3,543.22/month.
determine your fixed expenses each month. How much could you save per
month if you take 25% of your discretionary monies and put it in a savings
account?
The amount you could save per month would be 25% of your discretionary money.
How much could you save per month if you take 25% of your discretionary money?Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.
The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses
Amount to be saved = 25% of discretionary money
Amount to be saved = 0.25 * (Realized income - Fixed expenses)
Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.
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HELP ME PLEASE Graph the linear equation
Answer:
Hi! The answer is in the pictures!!
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Suppose you calculated a paired-samples t test, with 30 pairs of scores. Mean mean difference is 6 and the standard error is 2.1. What is the .95 confidence interval
This means that we can be 95% confident that the true population means difference lies between 1.7075 and 10.2925.
Confidence interval = Mean difference ± (t-value × standard error)
Substituting the given values into the formula, we get:
Confidence interval = 6 ± (2.045 × 2.1)
Confidence interval = 6 ± 4.2925
A confidence interval is a statistical concept used to estimate the range of values in which a population parameter is likely to fall. It is calculated using sample data and is used to provide an estimate of the true population parameter.
The confidence interval is a range of values that is constructed around a point estimate, such as the sample mean or proportion. This range is based on the level of confidence chosen by the researcher, typically 90%, 95%, or 99%. For example, a 95% confidence interval means that if we were to repeat the sampling process many times, we would expect the true population parameter to fall within the range of values calculated for 95% of those samples.
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An arrow is shot with an initial upward velocity of 100 feet per second from a height of 5 feet above the ground. The equation h= -16t^2 + 100t + 5 models the height in feet t seconds after the arrow is shot. After the arrow passes its maximum height, it comes down and hits a target that was placed 20 feet above the ground. About how long after the arrow was shot does it hit its intended target?
Since the question specified that the arrow had to reach the height only after reaching its maximum altitude, then the only correct answer is 6.096 seconds.
What is the equation referred to as?A mathematical expression with the equals sign is referred to as an equation. Algebra is frequently used in equations. When performing calculations but not knowing the precise number, algebra is used.
Give,
\(20 = -16t^{2} + 100t + 5\)
\(= > -16t^{2} + 100t - 15 = 0\)
\(= > t = \frac{-100 ± \sqrt{100^{2} - 4(-15)(-15) } }{2(-16)} \\\\= > t = \frac{-100 ± \sqrt{9040} }{-32} \\\\Here, \sqrt{9040} = 4\sqrt{565} \\ \\= > t = \frac{-100 ± \ 4sqrt{565} }{-32} \\\\= > t = \frac{-25 ± \ sqrt{565} }{-8} \\\\= > t_{1} = 6.096 sec \\ = > t_{2} = 0.154 sec\)
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let f be a function that is continuous on the closed interval 2 4 with f(2)=10 and f(4)=20
There exists a value c in the interval (2, 4) such that f(c) = 15.
Given that f is a function that is continuous on the closed interval [2, 4] and f(2) = 10 and f(4) = 20, we can use the Intermediate Value Theorem to show that there exists a value c in the interval (2, 4) such that f(c) = 15.
The Intermediate Value Theorem states that if a function f is continuous on a closed interval [a, b], and if M is any value between f(a) and f(b) (inclusive), then there exists at least one value c in the interval (a, b) such that f(c) = M.
In this case, f(2) = 10 and f(4) = 20, and we are interested in finding a value c such that f(c) = 15, which is between f(2) and f(4). Since f is continuous on the interval [2, 4], the Intermediate Value Theorem guarantees that such a value c exists.
Therefore, there exists a value c in the interval (2, 4) such that f(c) = 15.
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Betty has 42 butterfly stickers, as shown below.
She puts an equal number of stickers on each of 6 pages in her sticker book.
How many stickers does Betty put on each page in her sticker book?
Answer:
7
Step-by-step explanation:
42/6=7
b) Obtain reduced cost matrix for travelling sales person problem. Consider the instance define by the cost matrix: [8M] 00 5 1 10 6 4 12 7 1 Pa 8 a 3 7 6 1 8نرا 4 16 9 3 8 a 16 12 7 6 00 *****
The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.
This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.
Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.
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What are the solutions of the inequality |7x|≥21
\(|7x|>21\\7|x|>21\\|x|>3\\x>3 \vee x<-3\\x\in(-\infty,-3)\cup(3,\infty)\)