Using relations in a right triangle, it is found that the angle of depression from the satellite to the horizon is of 89.35º.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.First, we consider that:
The opposite side to the internal angle at the satellite is of 4000 mi.The hypotenuse is of 4000 mi + d mi = 17500 mi.Hence the sine of the angle is given as follows:
sin(θ) = 4000/175000
θ = arcsin(4000/175000)
θ = 1.31º.
Twice the angle of depression x and θ are supplementary, hence:
2x + 1.31 = 180
2x = 178.69.
x = 178.69/2
x = 89.35º.
The angle of depression from the satellite to the horizon is of 89.35º.
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I have two questions
1.
In the following relation {(2,1),(0,1),(3,3),(1,10),(2,5)}. Choose the domain from the options below
(2 Points)
{2,0,3,1,2}
{2,0,3,1}
{1,1,3,10,5}
{0,1,2,3}
2.
Is the following relation {(2,1),(0,1),(3,3),(1,10),(2,5)} a function?
True
False
1. The domain will be {0, 1, 2, 3}. Thus, the correct option is D.
2. The relation is not a function. Thus, the statement is false.
1. In the following relation {(2,1),(0,1),(3,3),(1,10),(2,5)}. Then the domain of the function is given as,
Domain = {0, 1, 2, 3}
Thus, the correct option is D.
2. For a function, the number of values of 'y' should be one for each value of 'x'.
At x = 2, the number of values of the function is two that is 1 and 5. So, the relation is not a function.
Thus, the statement is false.
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make x subject
u= cos 0.5x
By making x the subject of the formula in this equation u = cos(0.5x) gives x = 2cos⁻¹(u).
How to make x the subject of the formula?In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.
In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.
By taking the arc cosine of both sides of the equation, we have the following:
u = cos(0.5x)
cos⁻¹(u) = 0.5x
By multiplying both sides of the mathematical equation by 2, we have the following:
2 × cos⁻¹(u) = 0.5x × 2
x = 2cos⁻¹(u)
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Which pair of angles are supplementary?
Answer:
1 and 7
Step-by-step explanation:
supplementary means that they add up to 180º
1,3 5,6 1,7
2,4 7,8 2,8
1,2 5,7 3,5
3,4 6,8 4,6
There are still some more but my hands are tired of typing.
Answer:
A: 1 and 7
Step-by-step explanation:
when 2 angles are put next to each other on a straight line with a line going through the middle those two angles always add to 180 since 180 is equal to a straight line.
supplementary angles are 2 angles that together make 180.
out of the options given, all of them except 1 and 7 are equal angles and as a result would not add to 180. if you put angles 1 and 7 on a straight line together, they do, thus the answer is A, aka 1 and 7.
10 POINTS !!!! solve using elimination -2x - y = 5 3x -y = -20 ( , )
Answer:
(-5,5)
Step-by-step explanation: add the equations in order to solve first variable. put the value in the other equations to solve the remaining variables- math way
Calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag.
The probability is approximately 0.129 or 12.9%.
Describe probability ?Probability can also be used to describe more complex events, such as the likelihood of a stock price increasing by a certain amount in a given period of time, or the probability of a medical treatment being effective for a certain disease.
To calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag, we need to use the binomial probability formula:
P(X >= 48) = 1 - P(X < 48)
Where
X is the number of orange Stattles in a 14 ounce bag
P(X < 48) is the probability of getting less than 48 orange Stattles in a 14 ounce bag
To calculate P(X < 48), we need to use the binomial probability formula:
\(P(X = x) = (nCx) * p^x * q^{(n-x)\)
Where
n is the number of Stattles in a 14 ounce bag (we don't know this value)
x is the number of orange Stattles in a 14 ounce bag (we want to find the probability of getting less than 48)
p is the probability of getting an orange Stattle (0.4)
q is the probability of getting a non-orange Stattle (0.6)
nCx is the binomial coefficient
nCx is the binomial coefficient, which can be calculated using the formula:
nCx = n! / (x! * (n-x)!)
where ! denotes the factorial function.
We can use a cumulative binomial distribution table or a binomial calculator to find the probability of getting less than 48 orange Stattles in a 14 ounce bag. For example, using an online calculator, we find that:
P(X < 48) = 0.871
Therefore, the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is:
P(X >= 48) = 1 - P(X < 48) = 1 - 0.871 = 0.129
So, the probability is approximately 0.129 or 12.9%.
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what is the initial value of the exponential function shown on the graph? a. 0, b. 1, c. 2, d. 4
Answer:
D
Step-by-step explanation:
4 is the initial value of the exponential function shown on the graph.
Have a great day
PLEASE HURRY AND ANSWER!!!!
The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.
How to calculate the probability of the chosen event?To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:
Probability = possible outcome/ sample space
Where possible outcome = 2
sample space = A,B,B,B,C,C,D,D,D,E = 10
Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.
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[3r-15] if r is less than 5
When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.
Given that r is less than 5, let's substitute r = 4 into the expression:
[3(4) - 15]
= [12 - 15]
= -3
Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.
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b) The radius of a bicycle wheel is 50cm. In one-ninth of a second, it turns through 80°
about its center, which is fixed. How many kilometers does a point on the rim of the
wheel travel in one hour?
Answer:
Given data:
Radius r = 50cm
Time taken by the wheel to turn 80 degree = 1/9 seconds
= > In one second, wheel turns 720 degree
We know that one revolution is 360 degree
Therefore in one second, it takes 2 revolutions
In one hour i.e. 3600 seconds, it takes 7200 revolutions
Distance travelled by the wheel in one revolution is equal to the circumference of the wheel.
Distance travelled in one revolution = 2 π r = 2 π x 50 = 100 π cm
Distance travelled in one hour i.e. for 7200 revolution = 720000 π cm
So, distance travelled by the point on the rim of the wheel in an hour = 7.2 π km = 22.6 km
Step-by-step explanation:
Juan Hernandez, a Cuban athlete who visits the United States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffel bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The three most popular items in Cuba are denim jeans, CD players, and CDs of U.S. rock groups. The weight and profit (in U.S. dollars) of each item are as follows:
Item Weight (lb.) Profit
Denim jeans 2.1 $40
CD players 3.2 48
Compact discs 0.8 16
uan wants to determine the combination of items he should pack in his duffel bag to maximize his profit. This problem is an example of a type of integer programming problem known as a "knapsack" problem. Formulate and solve the problem.
Answer:
z (max) = 96
x₁ = 2
x₂ = 0
x₃ = 1
Step-by-step explanation:
Fromproblem statement:
weight (lb) . Profit $
Denim jeans 2.1 40
CD players 3.2 48
Compact Discs 0.8 16
Objective Function z is:
z = 40*x₁ + 48*x₂ + 16*x₃ to maximize
Subject to:
Weight constrain: 5 lb
2.1*x₁ + 3.2*x₂ + 0.8*x₃
x₁≥ 0 x₂ ≥ 0 x₃ ≥ 0 All integers
Using AtomZmath on-line solver and after 2 iterations
Solution:
z (max) = 96
x₁ = 2
x₂ = 0
x₃ = 1
The maximized profit is the highest profit Juan can get by selling his items.
The maximized profit is $96
Let x represents the Denim jeans, y represents the CD players and z represent the compact discs.
So, we have the following parameters
Weights
\(x = 2.1\)
\(y = 3.2\)
\(z = 0.8\)
The weight cannot exceed 5 pounds.
So, the constraint is
\(2.1x + 3.2y + 0.8z \le 5\)
The profit is given as:
\(x = 40\)
\(y = 48\)
\(z = 16\)
So, the objective function to maximize is
\(Max\ Z = 40x + 48y + 16z\)
The integer programming model is then represented as:
\(Max\ Z = 40x + 48y + 16z\)
Subject to:
\(2.1x + 3.2y + 0.8z \le 5\)
\(x,y,z \ge 0\)
Using a graphing calculator, the values that maximize the objective function are:
\(x = 2\)
\(y = 0\)
\(z = 1\)
Substitute these values in the objective function
\(Max\ Z = 40x + 48y + 16z\)
\(Z = 40 \times 2 + 48 \times 0 + 16 \times 1\)
\(Z = 80 + 0 + 16\)
\(Z = 96\)
Hence, the maximized profit is $96
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Which graph represents the function p(x) = |x – 1|?
On a coordinate plane, an absolute value graph has a vertex at (0, 1).
On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).
On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).
The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).
The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).
Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.
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What are the x-intercepts of the graph below ?
Answer:
(3, 0)(-2, 0)Step-by-step explanation:
You want to identify the x-intercepts on the graph.
X-interceptAn "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.
The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...
(-2, 0) and (3, 0)
<95141404393>
Write in order least to greatest!
Hello! :)
√99=9.95...
π²=9.9
9.8888...
So I think the numbers should be written like this:
9.8888, √99, π²
Hope it helps!
~Just a determined gal
\(MysteriousNature\)
The scatterplot above displays the relationship between the amount of food hippopotamuses eat per day and their age. Describe and explain any associations and data features on the scatterplot. Then, use the variables on the graph to interpret the relationship that is shown.
The scatter plot shows a [positive linear] association.
How to determine the association of the scatterplotFrom the question, we have the following parameters that can be used in our computation:
The image of the scatter plot
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values increases
This represents a positive linear association.
Hence, the association is a positive linear association.
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Assessment
What is a brokerage account?
A. An online account used to pay expenses.
B. A deposit account at a financial institution that allows
withdrawals and deposits.
C. An interest-paying deposit account at a financial
institution that provides a modest interest rate.
D. An account used to buy investments like stocks, bonds,
and mutual funds.
5/10
Answer:
Step-by-step explanation:
A brokerage account is an investment account that allows you to buy and sell a variety of investments, such as stocks, bonds, mutual funds, and ETFs.
Therefore the answer is D
Find the value of x.
Answer:
x = 124
Step-by-step explanation:
You want the value of the exterior angle x°, given that the remote interior angles are 83° and 41°.
Exterior angleThe exterior angle of a triangle is equal to the sum of the remote interior angles:
x° = 83° +41°
x° = 124°
x = 124
__
Check
The interior angle adjacent to x° is its supplement:
180° -124° = 56°
The sum of the interior angles of the triangle is 180°:
83° +41° +56° = 180° . . . . . true
The theorem we cite above is a consequence of the fact that the missing interior angle is supplementary to both x° and the sum of the other two interior angles. It saves having to find the measure of the missing interior angle.
Can somebody please help?? i’ll give Brainliest to whoever answers first.
There are 625 students in Leon's school. He takes a random sample of 75 students from the entire school population. In the sample, 33
students are planning to attend the end of year picnic.
Based on his data, how many students from the entire school are planning to attend the end of year picnic? Show ALL your work!
Answer:
The answer is 275 students.
Step-by-step explanation:
In 75 students, 33 students attend.
So the ratio is 33/75.
so multiply with 625.
625 x 33/75 = 275
Tell which of the following distributions would have the least variation a. Weights of 20 year old women b. Weights of adult men c. Weights of 20-year olds d. Weights of all adults
From the given distributions, the distribution that would have the least variation is weights of 20-year-old women. (Option A)
A variation refers to a relation between a set of values of one variable and a set of values of other variables. Hence, in a distribution, variability indicates how far apart points lie from each other and from the center of a distribution or a data set. Variability is also referred to as spread, scatter, or dispersion. There are many ways to describe variability or spread including range, interquartile range (IQR), and variance and standard deviation. The variance is defined as the sum of the squared distances of each term in the distribution from the mean (μ), divided by the number of terms in the distribution (N). The distributions which will have least variation would be weights of 20-year-old women, as due to smaller range, the difference between the values and the mean would be smaller as well. Hence, the variance would be least for this distribution.
Note: The question is incomplete. The complete question probably is: From the following distributions, which distributions would have the least variation. (A) Weight of 20-year-old woman (B) Weight of all adult men (C) Weight of all adults (D) Weight of 20 year old.
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Which of the following is the graph of f(x) = -0.5|x +3|-2?
Answer:
The answer is D
Mark ne as brianlist
HELP. I NEED TO KNOW HOW TO ANSWER THIS QUESTION QUICKLY SO I CAN DO IT IN MY EXAMS. PLEASE NO SPAM AND GIVE AN EXPLANATION WITH YOUR ANSWER.
Answer:
- 1,3 -1,4 - 1,5 in think pls check it
need help plz can someone please help
Answer:
D
Step-by-step explanation:
Answer:
d. 40
Step-by-step explanation:
Help with this, thank you
The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.
What are perpendicular lines?In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).
From the information provided above, the slope for the equation of line m is given by:
x - 2y = -8
2y = x + 8
y = x/2 + 4
slope (m) of line m = 1/2
In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:
m₁ × m₂ = -1
1/2 × m₂ = -1
m₂ = -2
Slope, m₂ of perpendicular line = -2
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Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
3(y+1/4)>3/4 determine the value of y for the inequality
Therefore, the solution to the inequality 3(y + 1/4) > 3/4 is y > 0.
What is inequality?An inequality is a mathematical statement that shows a relationship between two values, which are not necessarily equal. Inequalities are represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). Inequalities are commonly used in algebra and other areas of mathematics, as well as in real-world applications such as finance, economics, and science. They can be used to represent constraints or limits on a variable, such as the maximum or minimum value that it can take.
Here,
We can solve the inequality 3(y + 1/4) > 3/4 by first distributing the 3 to the expression inside the parentheses:
3y + 3/4 > 3/4
Next, we can simplify by subtracting 3/4 from both sides:
3y > 0
Finally, we can solve for y by dividing both sides by 3:
y > 0/3
y > 0
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i need everything answered
Using the circles:
radius - RTdiameter - QTSchord that is not a diameter - PScentral angle - Tminor arc - QPmajor arc - QSPsemicircle - QRSA = 201.06 square inches, C = 50.27 inchesA = 314.16 square meters, C = 62.83 metersmJKP = mJKN = 90° mJLK = 63° and mPLJ + mJLP = 207°How to calculate areas and circumference?A circle with a radius of 8 inches has an area and circumference given by:
A = πr² = π(8²) ≈ 201.06 square inches
C = 2πr = 2π(8) ≈ 50.27 inches
Rounding to the nearest hundredth:
A ≈ 201.06 square inches
C ≈ 50.27 inches
Therefore, the area is approximately 201.06 square inches and the circumference is approximately 50.27 inches.
A circle with a diameter of 20 meters has a radius of 10 meters. The area and circumference are given by:
A = πr² = π(10²) ≈ 314.16 square meters
C = 2πr = 2π(10) ≈ 62.83 meters
Rounding to the nearest hundredth:
A ≈ 314.16 square meters
C ≈ 62.83 meters
Therefore, the area is approximately 314.16 square meters and the circumference is approximately 62.83 meters.
Using these relationships, find the measures of some of the angles:
a) mJKP = mJKN (by vertical angles) and mJKP + mPKL = 90° (by complementary angles), so mJKN + mPKL = 90°.
b) mJKN = mJKP (by vertical angles) and mJKN + mKNM = 90° (by complementary angles), so mJKP + mKNM = 90°.
c) mJLK = mMPL (by alternate interior angles) and mMPL = 63°, so mJLK = 63°.
d) mKNM = 90° - mJKN (by complementary angles). We cannot determine the measure of mJKN.
e) mJLK = mMPL (by alternate interior angles) and mJLR = mJLP (by vertical angles), so:
mJLK + mKLP + mPLJ + mJLP = 360° (by the sum of angles in a quadrilateral)
63° + 90° + mPLJ + mJLP = 360°
mPLJ + mJLP = 207°
f) mJLR = mJLP (by vertical angles) and mKPL = 90°, so:
mJLR + mJLP + mKPL = 180° (by the angles in a triangle)
mJLR + mJLP + 90° = 180°
mJLR + mJLP = 90°
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Image transcribed:
Use the circle below for questions 1-7.
1. Name a radius.
2. Name a diameter.
1.
2.
3.
R
3. Name a chord that is not a diameter.
P
4. Name a central angle.
4.
S
5. Name a minor arc.
5.
6. Name a major arc.
7.
7. Name a semicircle.
For questions 8 and 9, find the area and circumference. Round to the nearest hundredth.
8.
A =
C=
9.
A =
20 m
8 in
C=
10. If m∠MPL = 63°, find each measure.
K
a) mR= =
= m KNM d) 이이
=
b) - =
c) L
=
f) mJLR =
N
M
Gina Wilson (All Things Algebra, LLC), 201
Estimate the sum of 379+409=
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
Find the vertex of the parabola defined by the following equation. 3x^2-12x+11
Answer:
y= 3(x-2)^2-1
Step-by-step explanation:
In the revenue equation R = –360p2 + 28,800p, what is the maximum revenue that can be expected?
Group of answer choices
The revenue equation is given by:
R = –360p^2 + 28,800p
To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:
Vertex = (-b/2a, f(-b/2a))
where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In this case, a = -360 and b = 28,800.
The x-coordinate of the vertex is given by:
x = -b/2a = -28,800/(2*(-360)) = 40
Substituting x = 40 into the revenue equation gives:
R = –360(40)^2 + 28,800(40) = 576,000
Therefore, the maximum revenue that can be expected is $576,000.
Again let me know what other ones you need help with
Write an equation of the line passing through point P(−2, 6) that is parallel to the line x=−5.
Answer:
x = -2
Step-by-step explanation:
x = -5 is a vertical line going through the x-axis, so any line that is x = a number will be parallel to it.
The equation of a line passing through point P(-2,6) and parallel to x = -5 is x = - 2.
What is slope undefined?A slope is the rate of change of the y-axis with respect to the x-axis.
The slope of a vertical line is undefined because tan90° is undefined.
First, a line that has an equation x = -5 is a vertical line at x = - 5 all the values of y from negative infinity to positive infinity along the y-axis, and the slope is undefined.
Line parallel to the line x = -5 and has coordinate points P(-2,6) is also a vertical line at x = -2 for every possible real value of y.
So, it's equation is x = -2.
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In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be (other things being equal
Answer:
15% above the trend.
Step-by-step explanation:
A time series represented by Y comprises of dataset observed over a particular period of time. Time series is handy in determining the future of a particular business.
In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be
Y = T × C × S × 1
where;
Seasonal S = 1.15
As such Y would increase by 15% above the trend if all other things are being equal.