Answers
Hi there!
[tex]\large\boxed{AC \approx 483 ft}}[/tex]
AC is the hypotenuse, so we can use a trig formula to solve.
We are given the adjacent side, AB, so we must use cosine. Recall that:
cosθ = A/H
Thus:
cos(21.3) = 450 / H
Rearrange:
H = 450 / cos(21.3)
Use a calculator to evaluate:
H = 482.99 ≈ 483 ft.
Answer:
AC ≈ 483
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos21.3° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{450}{AC}[/tex] ( multiply both sides by AC )
AC × cos21.3° = 450 ( divide both sides by cos21.3° )
AC = [tex]\frac{450}{cos21.3}[/tex] ≈ 483 ( to the nearest whole number )
Related Questions
Work out the size of the angle marked X.
Give your answer correct to 1 decimal place.
Answers
Answer:
41.8°
Step-by-step explanation:
We solve using the Trigonometric function of Sine
Hypotenuse = 15cm
x = θ
Opposite = 10cm
sin θ = Opposite/Hypotenuse
sin θ = 10/15
θ = arc sin ( 10/15)
θ = 41.810314896°
θ = Approximately to 1 decimal place = 41.8°
Therefore, x = θ = 41.8°
Awnser this please and thank you if u don’t not give me bad awnsers I will give u a brainliest
Answers
Answer:
slope = 20
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (10, 200) ← 2 points on the line
m = [tex]\frac{200-0}{10-0}[/tex] = [tex]\frac{200}{10}[/tex] = 20
A tire has a diameter of 42 inches. How far along the ground does the tire travel if it rolls and makes 5 revolutions? Use 3.14 as an approximation for
Answers
Answer:
659.4 inches
Step-by-step explanation:
C = 2*3.14*21
C = 131.88
131.88*5 = 659.4 inches
Select the perfect square trinomial from among the options below!
you will be marked as brainliest
Answers
A ) ( x - 3 )( x + 1 ) [ not perfect ]
B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]
C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]
D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]
Thus the correct answer is option D .
Select all expressions that equal −7−(−12) .
A
7+(−12)
B
−7+(−12)
C
−7+12
D
7+12
Answers
Answer:
C, -7+12
Step-by-step explanation:
-7--12= 5
-7--12 can also be -7+12
Answer:
The answer is c
Step-by-step explanation:
-7-(-12) = 5
On a quiz there are four multiple-choice questions worth 3 points each and two true/false questionsworth 1 point each . Each multiple-choice question has five possible choices . If a student randomlyguesses on each question , what is the expected value of the student's score on the test ?
Answers
Answer:
The expected value of the student's score on the test is 3.4.
Step-by-step explanation:
Multiple choice questions:
worth 3 points.
Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:
[tex]m = 3\frac{1}{5} = 0.6[/tex]
True/false questions:
worth 1 point.
2 options, one of which is correct, so the expected value for each is:
[tex]t = 1\frac{1}{2} = 0.5[/tex]
What is the expected value of the student's score on the test ?
4 multiple choice, two true-false. So
[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]
The expected value of the student's score on the test is 3.4.
3/4 + (1/3 ÷ 1/6) - (-1/2)
Please give answer as a fraction
Answers
Answer: 13/4
Step-by-step explanation: it was 3.25 and that as a fraction is 13/4
3/4 + ( 1/3 × 6 ) + 1/2 =
3/4 + 2/4 + ( 2 ) =
3 + 2/4 + 8/4 =
5/4 + 8/4 =
5 + 8/4 =
13/4
The width of a rectangle is 5 feet shorter than its length. If the area of the rectangle is 24 square feet, find the dimensions of the rectangle.
Answers
Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.
PLEASE HELP!! THIS FOR THE LAST ASSIGNMENT FOR THE SUMMER!!! 20 POINTS FOR ANSWER AND END OF SCHOOL YEAR!!!
A writer has just finished typing the manuscript for a book that is 354 pages long. There is one illustration on every thirtieth page, starting on page 1. How many illustrations are there?
A. 13 illustrations
B. 11 illustrations
C. 14 illustrations
D.12 illustrations
Answers
B
Answer:
11
Step-by-step explanation:
dont forget to five-star and heart!
A ladder leans against the wall at the point B
(window end) from a ground level and makes an
angle horizontally at 52º. The height of ladder is 15
m. When the same ladder leans above the point B
at point A (window start) and makes an angle of 85°
horizontally. The distance between point A and
point B is
Answers
Answer:
..........
Step-by-step explanation:
Given:
The height of the ladder = 15 m
When the ladder leans at point B from the ground level, then it makes an angle of 52° with the horizontal
When the ladder leans at point A from the ground level, then it makes an angle of 85° with the horizontal
To find:
The distance between point A and point B is?
Solution:
To solve the above-given problem, we will use the following trigonometric ratio of a triangle:
Referring to the figure attached below, we will assume,
BD = AD = 15 m = height of the ladder
∠BDC = 52° = angle of elevation to the foot of the window
∠ADC = 85° = angle of elevation to the top of the window
Now,
In ΔBCD, we have
Opposite side = BC
Hypotenuse = BD = 15 m
θ = 52°
∴
and
In ΔACD, we have
Opposite side = AC
Hypotenuse = AD = 15 m
θ = 85°
∴
∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m
Thus, the distance between point A and point B is 3.12 m.
-----------------------------------------------------------------------------------------------
Also View:
A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.
write answer in equation y=mx+b
Answers
Answer:
y = 50x + 150
Step-by-step explanation:
The y-intercept is 150. b = 150
The slope is found using two points such as (2014, 450) and (2010, 250)
m = (450 - 250)/(2014 - 2010) = 200/4 = 50
y = mx + b
y = 50x + 150
find the diameter of a circle with the circumference of 10cm
Answers
Can someone help me with this thank you
Answers
Answer:
30 sq cm
Step-by-step explanation:
The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:
Area = 10 cm x 3 cm
Area = 30 sq cm
Can you solve 8n- 4= 52
Answers
Answer:
Add 4 to both sides of the equation
8n-4=52
8n-4+_4=52+_4
The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 18cm
Work out the width of the rectangle
Answers
Answer:
18 cm
Step-by-step explanation:
Let X represent a square
For it to be a rectangle, needs to be:
X X X
X X X
X X X
(It's a giant square made of squares)
This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.
For Example:
X X X X
X X X X X
It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.
So if the length is 18cm, the width is also 18cm.
?????????!!?????????????!!!????
Answers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Which answer choice correctly names the circle?
Answers
Answer:
Step-by-step explanation:
Is their suppposed to be a pic
Petra invests $8000 for 4 years she earned $2000 as compound interest find rate of interest
Answers
Answer:
r = 5.74%
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^t
P is the principal = $8000
A = P+I =8000 + 2000 = $10000
time t = 4years
Substitute
10000 = 8000(1+r)^4
10000/8000 = (1+r)^4
10/8 = (1+r)^4
1.25 = (1+r)^4
1.05737126344 = 1+r
r = 1.05737126344 - 1
r = 0.05737126344
r = 5.74%
This gives the rate of interest
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Once you are logged in you need to find an article related to Math to read. If you click the search button and type in Math you will find hundreds of articles to choose from.
The name of the article I chose is ____ and the author is ______.
Please write one paragraph in response to the article. In your paragraph summarize the article and specifically explain the connection it has to math.
Contain at least 4 complete sentences.
Have sentences that start with capital letters and end with punctuation.
Be written in your own words.
Include a specific quote or evidence from the article to show the math connection.
Answers
Answer:
n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.
Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.
Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.
Step-by-step explanation:
Answer:
n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.
Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.
Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.
Step-by-step explanation:
Question 8 (1 point)
At your high school, you are trying to determine the probability that a student takes
Spanish given that the student is taking Marketing. Which of the following
statements explains how to BEST gather the data to determine this probability?
Determine the number of students taking Marketing, the number of students
taking Spanish, the total number of students, and the distribution of students.
Survey students taking Marketing to determine how many also take Spanish.
Survey students taking Spanish to determine how many also take Marketing.
Determine the number of students taking Marketing, the number of students
taking Spanish, and the total number of students.
Answers
What is the approximate measure of the length of the tennis court, x? A. 49.9 ft B. 72.0 ft C. 93.1 ft D. 78.0 ft
Answers
DEFINATION OF HABIT IN 50 WORLDS?
Answers
Answer:
Something you do frequently or on a regular basis is known as a habit.
When he gets nervous, he has a cute habit of licking his lips. [includes]
...an investigation into the eating habits of people in the United Kingdom.
Step-by-step explanation:
Of the 585 people that live in Benton, 187 live within two miles of the post office. Use mental math to find how many people live farther than two miles from the post office.
Answers
It clearly states to use mental math not brainly, sorry bro can't do anything for you
How do you write 0.0006363 in scientific notation?
Answers
Answer:
Step-by-step explanation:
Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have
[tex]6.363*10^{-4[/tex]
In circle M secants overline PAMD and overline PBC are drawn from point P such that m arc BM=100 and m arc CD=62. Which of the following is the measure of angle P?
1) 19
2) 22
3) 34
4) 40
Answers
Jaime needs to buy a new refrigerator for his apartment. He found what he needed for
$1,300 at a well-known appliance store. The store is offering two options for Jaime to
finance the appliance:
Option: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate
2) The minimum monthly payment is $100 plus the monthly
finance charge
3) No down payment required
4) The loan is expected to be paid off in 12 months to avoid
additional penalties
Option II: The appliance store offers an installment loan for his purchase:
Loan charges a simple interest rate of 12,5%
2) Loan must be paid off in 12 equal payments to avoid penalties
A $300 down payment is required
A Which Option should Jaime choose if he wants the interest he pays to be as
small as possible?
Answers
The second option should be chosen as it depicts the amount with the lowest interest.
How to calculate the interestFor option 1, the annual interest will be:
= $1300 × 16.5% = $214.50
The monthly finance charge will be:
= $1300 × (0.165/12)
= $17.88
The minimum monthly payment for the first month will be:
= $100 + $17.88 = $117.88
Hence, the total amount paid will be:
= ($117.88 × 12) + $214.50
= $1629.06
For option 2, the simple interest will be:
= (1300 × 12.5%)
= $162.50
The amount that will be paid monthly will be:
= $1000/12
= $83.33.
In this case, the total amount paid will be:
= $162.50 + $1300
= $1462.50
Therefore, the second option is better as it's cheaper.
Learn more about interest on:
https://brainly.com/question/2294792
you don’t have to tell me the answer i just dk what to do for this problem
Answers
Answ either
Step-by-step explanation:
Carter needs to wrap seven presents. He lays the ribbon out flat and says that I'll have just enough pieces if I make six equally spaced cuts, I can use one piece for each package. And I won't have any pieces left over. Does he have enough pieces to wrap all the presents?
Answers
Answer:
Yes, he has enough pieces to wrap the present
Step-by-step explanation:
Given
[tex]Presents = 7[/tex]
[tex]Cuts = 6[/tex]
Required
Is there enough pieces to wrap all presents
As a general rule;
When a piece is cut in 1 place, you get 2 pieces
When a piece is cut in 2 places, you get 3 pieces
When a piece is cut in 3 place, you get 4 pieces
This implies that:
n cuts gives n + 1 pieces
i.e.
[tex]n \to n + 1[/tex]
So, we have:
[tex]6\ cuts \to (6 + 1) pieces[/tex]
[tex]6\ cuts \to 7\ pieces[/tex]
Hence, there are enough pieces.
what is the pattern rule for 1. 25, 1, 0.75, 0.50,0.25
Answers
Answer:
-0.25n + 1
Step-by-step explanation:
Difference between all numbers: -0.25
Hence,
[tex]t_n = -0.25n + 1[/tex]
Feel free to mark it as brainliest :D
Find the value of x.
6x
2x
11.25
0 16.25
58
032
Answers
Answer:
x = 11.25
Step-by-step explanation:
The sum of the angles is 90 degrees since it is a right angle
6x+2x = 90
8x = 90
Divide each side by 8
8x/8 =90/8
x =11.25