What is the angle of elevation of the sun when a 50-ft mast casts a 10 ft shadow
Answers
Answer: 78.69 degrees
Step-by-step explanation:
We can use trigonometry to find the angle of elevation of the sun. Let's call the angle we're looking for θ. We know that:
tan(θ) = opposite/adjacent
In this case, the opposite side is the height of the mast (50 ft) and the adjacent side is the length of the shadow (10 ft). So we can write:
tan(θ) = 50/10
tan(θ) = 5
To find θ, we need to take the inverse tangent (or arctangent) of both sides:
θ = tan^(-1)(5)
Using a calculator, we find that:
θ ≈ 78.69 degrees
So the angle of elevation of the sun is approximately 78.69 degrees.
Related Questions
What is the IQR for 10, 14, 15, 15, 16, 18, 19, 21
Answers
Answer:
15-18
Step-by-step explanation:
The IQR is the middle 50% of a set of numbers
There are 8 numbers, so its the middle 4
The middle 4 consists of 15,15,16,18
The range is 15-18
PLZ ANSWER ASASP ALMOST DUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D) The third side could be 4 meters long.
Step-by-step explanation:
The third side of a triangle must be greater than the difference and less than the sum of the other two sides.
5-4=1
5+4=9
So the third side must be GREATER THAN 1 and LESS THAN 9. (1<x<9)
Therefore, the answer can't be A or C. The second one could be correct, depending on how much less than 4 it is. But the last one is definitely correct.
5x-1 indicated measures
Answers
Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix. Original Matrix New Row-Equivalent Matrix 3 −1 −4 −5 3 8 3 −1 −4 4 0 −4 Add 3 times Row 2 to Row 1. Add 3 times Row 1 to Row 2. Multiply Row 2 by three. Multiply Row 1 by three. Interchange Row 1 and Row 2.
Answers
Answer:
Add 3 times row 1 to row 2 to obtain the new matrix
Step-by-step explanation:
Attached below is the solution
To obtain the new matrix we will add 3 times Row 1 to row 2
\(\left[\begin{array}{ccc}3&-1&-4\\-5&3&8\\\end{array}\right]\) original matrix
\(\left[\begin{array}{ccc}3&-1&-4\\4&0&-4\\\end{array}\right]\) New Matrix
Explain I need help pls
Answers
Answer:
20,000 + 4,000 + 200 + 40 + 1
Step-by-step explanation:
Answer
20,000+4,000+200+40+1
Step-by-step explanation:
but the explanation is its a way to write a number by adding the value of its didgets.
Write an equation for a line perpendicular to y=4x−3 and passing through the point (4,1)
Answers
y=4x-3(4,1)x2 (2-0) perpedkdkke
using the line of best fit
Answers
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Three swimmers competed in a race.
Karen finished 4.367 seconds ahead of Mary.
Brenda finished in 35.04 seconds.
Brenda finished 2.45 seconds behind Mary.
What was Karen’s finish time?
Answers
Answer:
33.123
Step-by-step explanation:
Brenda is at 35.04 seconds which is 2.45 seconds behind Mary so Mary is at 37.49 seconds.
Karen is ahead of Mary by 4.367 seconds which means she is at 33.123
Comparing teaching assistants (TAs). professor Holmes has two teaching assistant who grade homework for a Statistics 101 course. Professor Holmes gives each of the two teaching assistants a rubric (a clear scoring guide) for the TAs to use when they grade the assignments, Holmes gives each TA the same student's paper to grade and has TA grade the paper according to the rubric. Professor Holmes is doing this to try to guarantee the scores given by the TAs are
(a) not biased.
(b) predictive
(c) reliable.
(d) valid.
Answers
Professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.
What is reliable?Certain mistakes might never be corrected. It is also possible to later reverse an edit that fixed a mistake.
Wikipedia shouldn't be used as the sole source of information, for this reason.
The Signpost, non-article pages, articles, and non-English Wikipedias are all included in this.
In contrast to reference books, many items in the online encyclopedia are well-researched, reviewed for quality, and frequently kept up to date.
Nonetheless, even 20 years after its inception, the content of the encyclopedia can still be changed, sometimes almost imperceptibly.
Therefore, professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.
Know more about reliability here:
https://brainly.com/question/1265793
#SPJ1
Shown below is a wooden six-sided (hexagon) frame. Which of
the following best approximates the slopes of the six line
segments?
O The slopes are approximately -1.4, 0, and 1.4.
O The slopes are approximately -1.7, 0, and 1.7.
O The slopes are approximately -1.8, 1, and 1.4.
O The slopes are approximately -1.7,0, and 1.4
Answers
The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.
How to find the slope between two coordinates?The formula to find the slope between two coordinates is expressed as:
Slope = (y₂ - y₁)/(x₂ - x₁)
The slope of each line above the x-axis are:
Slope 1 = (5 - 0)/(5 - 8)
Slope 1 = -1.7
Slope 2 = (5 - 5)/(5 - (-2))
Slope 2 = 0
Slope 3 = (5 - 0)/(-2 - (-5))
Slope 3 = 5/3 = 1.7
Read more about slope between two coordinates at: https://brainly.com/question/3493733
#SPJ1
in order for the parallelogram to be a rhombus x=?
Answers
Answer:
x = 12
Step-by-step explanation:
In a rhombus, the diagonal is also the bisector of the angle, so the two vlaue must be congruent
2x + 35 = 8x- 37
6x = 72
x = 12
help me please reeeee
Answers
Answer:4/5 and 2 3/5
Step-by-step explanation:
A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions. Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0). Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points) Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points) Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
Answers
The maximum daily profit the company can earn is $2,350.
It is a set of points in a coordinate plane that represents the values of the function for different inputs.
The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.
Therefore, the maximum daily profit the company can earn is $2,350.
To know more about profit visit:
brainly.com/question/29959522
#SPJ1
what is 6 5/8 + 4 3/4 in simplest terms
Answers
Answer: To find the sum of 6 5/8 and 4 3/4, you need to express the two fractions with a common denominator. One way to do this is to express both fractions with a denominator of 8. To express 6 5/8 with a denominator of 8, you can rewrite it as 6 + 5/8, and to express 4 3/4 with a denominator of 8, you can rewrite it as 4 + 3/4. When you add these two fractions, you get:
6 + 5/8 + 4 + 3/4
= 10 + 8/8
= 10 + 1
= 11 1/8
So the sum of 6 5/8 and 4 3/4 is 11 1/8. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).
Answer:
\(\frac{91}{8}\)
Step-by-step explanation:
so your question is given in mixed number
\(6\frac{5}{8} + 4\frac{3}{4}\)
now simply multiply 6 with denominator and then add 5 to it . In denominator keep 8 as it is.Follow the same process for another term as well.
= \(\frac{6*8+5}{8}\) +\(\frac{4*4+3}{4}\)
=\(\frac{53}{8}\) + \(\frac{19}{4}\)
now take LCM
=\(\frac{53*1 +19*2}{8}\)
=\(\frac{53+38}{8}\)
=\(\frac{91}{8}\)
After this if it any cancelation can be done then do cancel in denominator and numerator but here we cannot cancel so your final answer is \(\frac{91}{8}\)
2 Select the correct answer. A circle with radius 5 and center A. The coordinates of the center of the circle are (-3, 12). What is the general form of the equation of the given circle with center A? A. x2 + y2 + 6x − 24y − 25 = 0 B. x2 + y2 − 6x + 24y + 128 = 0 C. x2 + y2 + 6x – 24y + 128 = 0 D. x2 + y2 + 6x − 24y + 148 = 0 Reset Next
Answers
The correct equation is D. x2 + y2 + 6x − 24y + 148 = 0.
What is equation?Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.
This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
To know more about equation click-
https://brainly.com/question/26408808
#SPJ1
Word Problem 9-22 (Static)
(LU 9-2 (1)]
The Social Security Administration increased the taxable wage base from $127,400 to $128,400. The 6.2% tax rate is unchanged. Joe
Burns earned over $130,000 each of the past two years.
a. What is the percent increase in the base? (Round your answer to the nearest hundredth percent.)
Percent increase
b. What is Joe's increase in Social Security tax for the new year?
Increase in social security tax?
Answers
Answer:
0.7849 %
$62
Step-by-step explanation:
Given that:
Initial taxable wage = $127,400
New taxable wage = $128,400
Amount earned each of the past two years = $130,000
The percentage increase :
((new wage - initial wage) / initial wage) * 100%
((128400 - 127400) / 127400) * 100%
0.0078492* 100%
= 0.7849 %
Increase in social security tax for the new year:
Increase in wage * social security tax rate
(128400 - 127400) * 6.2%
1000 * 6.2%
= $62
Cos 0 =
I need this as fast as I can please
Answers
Step-by-step explanation:
I hope you understand what I wrote
Answer:
cos=Adjacent / hypotenuse
\( \cos = \frac{35}{37} \)
choose B.
Write an equation in point-slope form for the line that passes through the point with the given slope.
(2, 1); m=−32
Answers
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ - 32 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies {\Large \begin{array}{llll} y-\stackrel{y_1}{1}=\stackrel{m}{- 32}(x-\stackrel{x_1}{2}) \end{array}}\)
Finding Missing Angles in a Polygon
Answers
Answer:
\(\huge\boxed{\sf x = 130\°}\)
Step-by-step explanation:
Statement:In a quadrilateral (four sided polygon), the interior angles add up to 360 degrees.The angles with a small square on it represents 90 degrees.Solution:So,
90 + 90 + 50 + x = 360
230 + x = 360
Subtract 230 from both sidesx = 360 - 230
x = 130°\(\rule[225]{225}{2}\)
according to a recent pew research center report, many american adults have made money by selling something online. in a random sample of 4579 american adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met. construct a 98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year. (0.1859, 0.2133) (0.1899, 0.2093) (0.1994, 0.1998) (0.1880, 0.2112) (0.1937, 0.2037)
Answers
98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year by using z-score. The correct answer is (0.1859, 0.2133)
The point estimate for the proportion of American adults who earned money by selling something online in the previous year is:
p-hat = 914/4579 = 0.1995
To construct a 98% confidence interval for the population proportion, we can use the formula:
p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))
where z is the z-score associated with the desired confidence level (98% corresponds to a z-score of 2.33), and n is the sample size. Plugging in the values, we get:
0.1995 ± 2.33*(sqrt(0.1995*(1-0.1995)/4579))
Simplifying this expression, we get:
(0.1859, 0.2133)
Therefore, the correct answer is (0.1859, 0.2133). This means we are 98% confident that the true proportion of American adults who earned money by selling something online in the previous year lies between 0.1859 and 0.2133.
To know more about z-score:
https://brainly.com/question/15016913
#SPJ4
if 12 sec A +.5 cos A =13 prive that tan A= 12÷5
Answers
Answer:
To prove that tan A = 12/5, we can use the identity that relates the sine and cosine of an angle to its tangent:
tan A = sin A / cos A
We are given that 0.5 * cos A = 13, so cos A = 26.
Substituting this value into the identity above, we get:
tan A = sin A / 26
We are also given that 12 sec A = 13, so sec A = 13/12 = 1.083333.
The reciprocal of sec A is cosec A, so cosec A = 1/1.083333 = 0.9230769.
The sine of an angle is the reciprocal of the cosecant of the angle, so sin A = 1/0.9230769 = 1.083333.
Substituting this value into the identity tan A = sin A / cos A, we get:
tan A = 1.083333 / 26 = 12/5
Therefore, tan A = 12/5.
Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not
Square 4x-3=5
Answers
The solution of the equation 4x - 3 = 5 is not extraneous .
How to solve an equation?Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Therefore, let's solve the equation to know whether it is extraneous solution.
Hence,
4x - 3 = 5
add 3 to both sides of the equation
4x - 3 + 3 = 5 + 3
4x = 8
divide both sides of the equation by 4
4x / 4 = 8 / 4
x = 2
Therefore, it is not extraneous solution.
learn more on equation here: https://brainly.com/question/29135995
#SPJ1
Find the value of the expression: -35 / 7
Answers
Answer:
-5
Step-by-step explanation:
Much help needed thanks!
Answers
4325 as a product of its prime factors
Answers
Answer:
5*5*173=4325
Step-by-step explanation:
please mark brainiest hope it works out for you
Answer:
5²×173
Step-by-step explanation:
4325 as a product of its prime factors
5²×173
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answers
The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36
What is equation of a circle?We should know that a circle is a set of points on a circle that are equal from a fixed point
The standard form for finding the equation of a circle is expressed as;
(x-a)² + (y-b)² = b=r²
where; (a, b) is the center of the circle
r is the radius of the circle
Given the following
Diameter = 12 units
radius = 12/2 = 6 units
If the center lies on the y-axis, the center will be at (0, 3)
Therefore, Substituting into the formula, we will have (x-0)² + (y-3)² = 6² which is equivalent to x²+ (y-3)² = 36
Learn more about the equation of the circle on https://brainly.com/question/29288238
#SPJ1
Cómo se determina el condominio de la función cuadrática.
Answers
The domain is the set of all values in the set (- ∞, ∞).
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a quadratic function as follows -
ax² + bx + c
For any quadratic equation (with vertex at origin), the value of [y] or the range is either the set of all positive values from 0 to infinity when the quadratic function open upwards and the set of all negative values from 0 to -infinity when the quadratic function open downwards. The domain is the set of all values in the set (- ∞, ∞).
Therefore, the domain is the set of all values in the set (- ∞, ∞).
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ1
{Question in english language is as follows -
How the domain of the quadratic function is determined.}
3(w-52)=57 what is it
Answers
Answer: w = 71
Step-by-step explanation:
We can divide both sides by 3 to get:
w-52 = 57/3
Further simplifying, we get:
w-52 = 19
Adding both sides by 52, we get:
w = 71
How much interest does a $10,000 investment earn at 5.6% over 18 years?
Answers
- I hope this helps that was a lot of math lol
which number expression represents 1/2 the sum of 7 and 5 please help
Answers
Answer: = ( 7+5 ) x 1/2
Step-by-step explanation: