The angle of depression from plane to the building for the given situation of taking photographs is equal to 30.027°.
Height for the best photograph = 403ft
Distance from the top of the building = 810 ft
As the given figure represents it is right angled triangle.
Horizontal vision from top of the building to the base are parallel.
Angle of depression and angle of elevation represents alternate angles
This implies,
Measure of angle of depression = Measure of angle of elevation
Let us consider angle of elevation be α .
In right angled triangle,
sin α = ( height of the building ) / (distance from the building)
Substitute the values we have,
⇒ sin α = 403/ 810
⇒ α = sin⁻¹ ( 0.4975 )
⇒ α = 30.027°
Angle of depression = angle of elevation
⇒ Angle of depression = 30.027°
Therefore, the angle of depression from the plane to the building is equal to 30.027°.
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Ejemplo de elementos de un monomio porfis
Answer:
Monomial examples
A monomial is an expression in algebra that contains one term, like 3xy. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. Any number, all by itself, is a monomial, like 5 or 2,700.
Step-by-step explanation:
there are 3,681 students at west school. Three grades attend this school. There are the same number of students in each grade. How many students are in each grade.
Answer:
1,227
Step-by-step explanation:
3,000 divided by 3 is 1,000
600 divided by 3 is 200
80 divided by 3 is 26 r2
1 + r2 =3
and 3 divided by 3 is 1
1,000 + 200 + 26 + 1 = 1,227
Which of the following sets of vectors are linearly independent?
A) [8,1,-6], [-1,-5,-4]
B) [9,3,0], [-7,5,0], [-8,6,0]
C) [-1,-7],[9,-1]
D) [2,4,7],[-9,-2,-3],[7,-2,-4]
E) [7,-9], [-2,-3], [-4,-6]
F) [-4,-6], [4,6]
The sets of linearly independent vectors are A), C), and E).
Which of the sets of vectors are linearly independent?To determine whether a set of vectors is linearly independent or not, we can form a matrix with the vectors as columns, and then row reduce the matrix to see if any rows of zeros are produced. If there are no rows of zeros, then the vectors are linearly independent; otherwise, they are linearly dependent.
A)
| 8 -1 |
| 1 -5 |
| -6 -4 |
Performing row operations, we get:
| 1 0 |
| 0 1 |
| 0 0 |
Since there are no rows of zeros, the vectors are linearly independent.
B)
| 9 -7 -8 |
| 3 5 6 |
| 0 0 0 |
Performing row operations, we get:
| 1 0 -1 |
| 0 1 1 |
| 0 0 0 |
Since there is a row of zeros, the vectors are linearly dependent.
C)
| -1 9 |
| -7 -1 |
Performing row operations, we get:
| 1 0 |
| 0 1 |
Since there are no rows of zeros, the vectors are linearly independent.
D)
| 2 -9 7 |
| 4 -2 -2 |
| 7 -3 -4 |
Performing row operations, we get:
| 1 0 1 |
| 0 1 -1 |
| 0 0 0 |
Since there is a row of zeros, the vectors are linearly dependent.
E)
| 7 -2 -4 |
| -9 -3 -6 |
Performing row operations, we get:
| 1 0 2 |
| 0 1 1 |
Since there are no rows of zeros, the vectors are linearly independent.
F)
| -4 4 |
| -6 6 |
Performing row operations, we get:
| 1 -1 |
| 0 0 |
Since there is a row of zeros, the vectors are linearly dependent.
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In finance, we need to do partial observations of data and estimate the data generating process (DGP) -- for example, log-normal returns. Sometimes, we can observe only the data points of a certain process, but we don't know what is the function generating the process. Consider the following graph is a plot of the f ′
(x), of a function f(x) given. What is the underlaying function ( f(x −
i)) that is the generator of the observed points in the plot f ′
(x −
i), for points x −
1=−1,x −
2=−0.9,…,x −
n=1?
The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.
The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.
To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.
Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.
The constant of integration arises because integration does not provide a unique solution.
The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.
To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.
It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.
Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.
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please help me please
how many ways can rudy choose 5 pizza toppings from a menu of 20 toppings if each topping can only be chosen once?
A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.
Answer:
200 Software programs = $10,000 profit
225 video games = $7,875 profit
What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14, ...
Answer:
0.36
0.26
0.16
0.06
the answers doesn't come in -
A 1-m m^3 tank contains 2.1085 kg of steam at 0.6MPa. The gas constant, the critical pressure, and the critical temperature of steam are R=0.4615kPa⋅m^3/kg⋅K,TCr =647.1 K, and PCr =22.06MPa. Use data from the steam tables. Determine the temperature of the steam using the steam tables.
The temperature of the steam is 441.7 K.
A 1-m³ tank contains 2.1085 kg of steam at 0.6 MPa.
The gas constant, critical pressure, and critical temperature of steam are
R = 0.4615 kPa.m³/kg.K,
TCr = 647.1 K, and
PCr = 22.06 MPa.
Using data from the steam tables, let's find the temperature of the steam.
According to the steam table, the specific volume of the steam is 0.194 m³/kg at 0.6 MPa and 393.71 K. Since 1 m³ tank contains 2.1085 kg of steam, the total volume of steam is:
V = m/v
= (2.1085 kg)/(0.194 m³/kg)
= 10.8665 m³
The ideal gas equation of state is:
Pv = mRTor
T = PV/mR
Substituting the values we get:
T = (0.6 MPa)(10.8665 m³)/(2.1085 kg)(0.4615 kPa.m³/kg.K)
T = 441.7 K
Therefore, the temperature of the steam is 441.7 K.
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Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is m, a, e, i, o, u, t, h the empty set i a, e, i, o, u, y
Answer:
the Empty set
Step-by-step explanation:
Recall that the intersection of two sets is another set that contains the elements common to both of the intersected sets.
Since sets A and C have NO element in common, then the answer is:
that the intersecting set is: the Empty set.
Answer:
the empty set
Step-by-step explanation:
this simbol ∩ is the intersection and it works as follows
\(X={1,2,3}\\\\Y={2,5,6,3}\\\\\)
and X∩Y={2, 3}
because 2 and 3 are the only ones that are in both sets
so we have
A={a, e, i, o, u}
B={a, l, g, e, b, r}
C={m, y, t, h}
A∩C= the empty set
because A and C don't have any common subset
PLEASE SOMEONE HELP ME I NEED TO TURN IT IN BY 12 HELP THANK YOY
1. The table represents the number of ice cream cones sold at an ice cream shop on 15 randomly chosen days and the temperature outside on those days.
Temperature ( )
Ice Cream Cones Sold
35 100
40 110
43 120
45 100
50 130
54 250
55 300
60 400
66 450
70 550
73 50
84 650
85 750
90 750
96 800
(a) Construct a scatter plot using the data in the table.
(b) Is there an outlier? If so, what are the coordinates of the outlier?
(c) Is there a cluster? If so, what is the domain and range of the cluster?
(d) Does the scatter plot show an association between temperature and ice cream cones sold? If so, what type of association is shown?
Answer:
Its C
Thanks
Step-by-step explanation:
hope i helped
pls help
Simplify the given polynomials. Then, classify each polynomial by its degree and number of terms.
Answer:
for the answer above this, it is correct you just have to pair up the places where simplified form, name by degree, and name by number of terms in the right order and so on..... its going to look just like the answer just the last one is going to be 2 instead of a whole problem. I would give you the answer but I st*pidly moved onto the next problem and it wont let me back :)
Step-by-step explanation:
The polynomial (x-1/2)(6x+2) is quadratic polynomial, (7\(x^{2}\)+3x)-1/3(21\(x^{2} -12\)) is linear polynomial, 4(\(5x^{2} -9x+7)+2(-10x^{2} +18x-13)\) is constant.
What is polynomials?Polynomial is a combination of algebraic terms expressed in combination of addition,multiplication,subtraction and division.
How to identify type of polynomial?The first polynomial is (x-1/2)(6x+2),we have to solve the expression.
=6\(x^{2}\)+x-1
It is a quadratic polynomial.
The second polynomial is (7\(x^{2}\)+3x)-1/3(21\(x^{2}\)-12) , we have to solve the expression.
=3x-4
It is linear polynomial.
The third polynomial is 4\(5x^{2} -9x+7)+2(-10x^{2} +18x-13)\), we have to solve the expression.
=2
It is a constant.
Hence first polynomial is quadratic,second is linear polynomial and third polynomial is a constant.
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Whoever answers correctly without adding NO FILES OR LINKS gets brainliest
Answer:
C. 6.75n = 114.75
Step-by-step explanation:
The store collects $114.75, each magazine is 6.75, the number of magazines is shown by n.
Answer: The answer is A.
It is A because you have to divide the total by the cost to find out the amount of magazines purchased.
Graph the line x = - 1.
Answer: see below
Step-by-step explanation:
x=-1 is a vertical line at x=-1
A seed sprouted and grew
2
3
of a foot in 3 months. What was its rate of growth?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
feet per month
Answer:
\(x = 4 \frac{1}{2} \)
the triangles are congruent by
...........
Step-by-step explanation:
ASA, AAS and SAS
solve the inequality x^2-4x-7<0
Answer:
Inequality Form:
2 − √ 11 < x < 2 + √ 11
Interval Notation:
( 2 − √ 11 , 2 + √ 11 )
Step-by-step explanation:
Solve the inequality for x by finding a , b , and c of the quadratic then applying the quadratic formula.
Please help this is due in ten minutes!!!!!!!!!!!!
Use the figure to find the measures of <1 and <2.
I just need to know the first 8 quick bc it’s almost due thanks!!
d+7-8+e=j.............
Answer:
d-1+e=j
Step-by-step explanation:
d+7-8+e=j
subtract the like terms.
7-8=-1
d-1+e=j
Hope this helps.
calculate the surface area of the prism below. SA= blank cm^2
please help me!!
Answer:
144
Step-by-step explanation:
The combined area of the two triangular faces is \((4)(3)=12\) cm².
The area of the back rectangular face is \((3)(11)=33\) cm².
The area of the bottom rectangular face is \((11)(4)=44\) cm².
The area of the slanted rectangular face is \((5)(11)=55\) cm².
Taking the sum of these areas, the total surface area is \(12+33+44+55=144\) cm².
Find p and q...............
Step-by-step explanation:
There must be some variables on p or q
If u send those i can help u
Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
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a standard deck of cards contains 52 cards. the cards have 4 different suits: clubs, diamonds, hearts, and spades. for each suit, there are 13 cards: one for each of the values 2 through 10, jack (j), queen (q), king (k), and ace (a). in a standard deck of 52 cards, how many cards must be picked to be sure that - at least four of them are diamonds (i.e., have the suit diamonds)? - at least three of them are have the same face value? to ensure your answer gets graded correctly by canvas, each of your answers should be a single integer value (with no spaces).
To be sure that at least three of the cards have the same face value, you would need to pick 3 cards. This is because the lowest number of cards with the same face value that can be achieved is 3, so if you pick 3 cards, you will guarantee that at least 3 of them have the same face value.
To be sure that at least four of the cards are diamonds, you would need to pick 5 cards. This is because the other 3 suits (clubs, hearts and spades) each have 13 cards, so if you pick 5 cards, you would have at least 4 cards of one suit (diamonds). To be sure that at least three of the cards have the same face value, you would need to pick 3 cards. This is because the lowest number of cards with the same face value that can be achieved is 3, so if you pick 3 cards, you will guarantee that at least 3 of them have the same face value.
At least four of them are diamonds: 5 cards
At least three of them are have the same face value: 3 cards
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what's the answer to 3-10(-x+2)?
The expression 3-10(-x+2) is simplified to 10x - 17
What is an arithmetic operator?An arithmetic operator can simply be defined as a mathematical function which takes two operands and also performs a calculation on them simultaneously.
There are several arithmetic operators, they include;
AdditionSubtractionMultiplicationModulusDivisionFloor divisionExponentiationFrom the information given, we have the operation;
3-10(-x+2)
expand the bracket
3 + 10x - 20
Now, collect like terms
10x + 3 - 20
subtract like terms
10x - 17
Hence, the expression is 10x - 17
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Use the GCF and the Distributive Property to rewrite the following expression: 24 + 27. Please I need help
Answer:
= 6(4 + 5)
Step-by-step explanation:
GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.
Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac
The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)
24 divided by 6 = 4
30 divided by 6 = 5
This fits B the most: 6(4 + 5)
Step-by-step explanation:
the average starting salary for this year's graduates at a large university (lu) is $20,000 with a standard deviation of $8,000. furthermore, it is known that the starting salaries are normally distributed. a. what is the probability that a randomly selected lu graduate will have a starting salary of at least $30,400? b. individuals with starting salaries of less than $15,600 receive a low income tax break. what percentage of the graduates will receive the tax break? c. what are the minimum and the maximum starting salaries of the middle 95% of the lu graduates? d. if 189 of the recent graduates have salaries of at least $32,240, how many students graduated this year from this university?
(a) Probability that a randomly selected is 9.68%; (b) 29.12% will receive the tax break; (c) Minimum and the maximum starting salaries are 35,679.71 and 4,320.29. (d) 6.3% of the total number of students.
a) P(X>30,400) = P(Z>(30,400-20,000)/8,000)
= 1-P(Z<1.3)
= 0.0968
= 9.68%
b) P(X<15600) = P(Z<(15600-20000)/8000)
= 29.12%
c) Maximum of the starting salaries of the middle 95% is
(x - 20,000)/8,000 = 1,96
x = 35,679.71
Minimum of the starting salaries of the middle 95% is
(x - 20,000)/8,000 = -1,96
x = 4,320.29
d) P(X>32,240) = 1-P(Z<(32,240-20,000)/8,000)
= 0.063
Therefore, the 189 represents 6.3% of the total number of students, means that the total number is 3,000.
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add 6 to the quotient of j and k
Answer:
j/k + 6
Step-by-step explanation:
Add 6 to the quotient of j and k comes out to:
j/k + 6
Help please I am reviewing!!
Evaluate w-7/4+2w when w= -3
-(x-10)=7
Solve and Explain.
Answer:
you need to solve for x
Step-by-step explanation:
the ez way for me is by flipping it so now it is -(7-10)=x and 10 -7=3
Answer:
-7=3
Step-by-step explanation:
Hope this helps :D