Answers
Answer:
68°
Step-by-step explanation:
The situation can be represented by a right triangle with the ladder as the hypotenuse and θ as the angle between the ladder and the ground.
Using the cosine ratio in the right triangle
cosθ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{3}{8}\) , then
θ = \(cos^{-1}\) ( \(\frac{3}{8}\) ) ≈ 68° ( to the nearest degree )
Answer:
θ = 68°
Step-by-step explanation:
The side 3 is adjacent to the angle we need to find , and we know the hypothenuse so will use the cosθ function
cos θ = adj/ hyp = 3/8
To find the angle we need to apply the inverse function cos ^(-1) and use the calculator to solve it.
θ = cos ^(-1) (3/8) = 67.97
Round to the nearest degree and will have
θ = 68°
Related Questions
Find the midpoint of the segment with the given endpoints. G(5, –4) and H(11, 0)
Answers
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{5}~,~\stackrel{y_1}{-4})\qquad H(\stackrel{x_2}{11}~,~\stackrel{y_2}{0}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 11 +5}{2}~~~ ,~~~ \cfrac{ 0 -4}{2} \right) \implies \left(\cfrac{ 16 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies (8~~,~~-2)\)
Please answer the blanks CORRECTLY.
Answers
Yet, the report makes no mention of any other candidates or possibilities, percentage leaving the remaining 10% of votes unaccounted for.
What is percentage?In mathematics, a percentage is a ratio or value stated as a percentage of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. Yet, the percentage symbol "%" is often used to indicate it. The % value is dimensionless. Percentages are fractions with a denominator of 100. A percent sign (%) should be placed next to a number to show that it is a percentage. For example, you get a 75% on a test if you correctly respond to 75 out of 25 pages (75/100). When calculating percentages, divide the result by 100 after dividing the amount by the total. The percentage is calculated by multiplying (value/total) by 100 percent.
The reader may argue that the story is not factual because Smith and Murphy's proportion of votes should total up to 100%. If Smith received 70% of the votes and Murphy obtained one-fifth of the votes, we can calculate Murphy's vote percentage as follows:
1/5 = 20/100 = 20%
As a result, Smith and Murphy should have received the following total percentage of votes:
70% + 20% = 90%
Yet, the report makes no mention of any other candidates or possibilities, leaving the remaining 10% of votes unaccounted for.
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Which of the following sides appear parallel in this Truss bridge? this is a bad question srry but i was up all night
Answers
Answer:
BC and AD
Step-by-step explanation:
This is because they will never intersect
Hope this helps
Answer:
it is BC and AD
Step-by-step explanation:
THANKS FOR THE PONTS
Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
Answers
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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5. The Riverside Geyser in Yellowstone National Park erupts
about every 6.25 h. When the geyser erupts, the water has an
initial upward velocity of 69 ft/s.
A. Use the vertical motion model h = -16t2 + vt + c to write
an equation that model this situation.
B. Then find the maximum height of the geyser?
Round your values to the nearest foot.
A. Use the vertical motion model h=-16t2+vt+c to write an equation that model this situation B. Then find the maximum height of the geyser
Answers
Answer:
Step-by-step explanation:
A.The equation for the model of the geyser is found by substituting the given upward velocity into the vertical motion model. The problem statement tells us v=69. We assume the height is measured from ground level, so c=0. Putting these values into the model gives ...
h(t) = -16t² +69t
__
B.The maximum height is at a time that is halfway between the zeros of the function.
h(t) = -16t(t -4.3125) . . . . . has zeros at t=0 and t=4.3125
The maximum height will occur at t=4.3125/2 = 2.15625 seconds. The height at that time is ...
h(t) = -16(2.15625)(2.15625 -4.3125) = 16(2.15625²) ≈ 74.39 . . . feet
The maximum height of the geyser is about 74.4 feet.
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
D
45
53
28
sin D=
sin E=
COS DE
COS E =
Answers
Answer:
sin D = 28/53
sin E =45/53
cos D =45/53
cos E =28/53
Worth 50-100 points. Will mark brainliest to whoever does all the work. Please help! Thank you! Heidi and Madison are using rock-paper-scissors to determine who will be able to choose the song that will be played at the start of the next geometry class. They will go with the winner of two games (in the event of a tie both songs will be played)
(A)Are these 2 events independent or not independent?Why?
(B)Make a tree diagram for the outcome of each game.
(C)What is the total outcome of the two games?
(D)What is the probability of Heidi winning 2 rounds?
Please help I’m at a loss. Time sensitive.
Answers
Answer:C
Step-by-step explanation:
im preaty sure
Decide which ONE of the following statements is FALSE.
A) A line contains at least two points
B) Three non-colinear points determine a plane
C) Through any two distinct points there exists exactly one line
D) Any three points lie on a distinct line
Answers
True or False.
A is true, a line has two points which are the two ends.
Answer: Choice D
Any three points lie on a distinct line
=============================================================
Explanation:
Let's go through each statement to see which are true, and which are false.
A) True. A line is uniquely defined by two points. In other words, you need 2 points to form a line.B) True. A plane is a flat surface, such as a table top or a piece of paper. The paper is not allowed to bend or curve. The three points cannot all fall on the same line, hence the "non-colinear" condition put in there. If the 3 points were colinear, then infinitely many planes would go through those points. So we make them non-colinear so a unique single plane can be defined. C) True. See choice A above.D) False. While two points form a single line, that third point may or may not be on that line. If the three points form a single line, then we consider the points colinear. If the points don't all fall on the same line, then we say they are non-colinear. For non-colinear points, a triangle forms. If choice D said "any three colinear points lie on a distinct line", then that statement would be true.Side note: The spelling of "colinear" is sometimes "collinear" with two "L"s, instead of one. I'm not 100% sure which spelling is more acceptable. I've found sources that have used both.
What is the area of the rhombus?
Answers
Answer:
36 units²------------------------
As per given coordinates we can observe that the diagonals of the rhombus are horizontal and vertical.
The length of the diagonal is the difference of x-coordinates for the horizontal diagonal and the difference of y-coordinates for the vertical one.
The diagonals have the length:
4 - (-8) = 12 units, and-1 - (-7) = 6 unitsThe area of a rhombus is half the product of the diagonals, therefore the area of the given rhombus is:
A = 12*6/2 = 36 units²The area οf the given rhοmbus is 22.5 square units. Tο find the area οf the rhοmbus, we need tο first find the length οf its diagοnals.
what is a rhοmbus?A rhοmbus is a type οf quadrilateral that has fοur sides οf equal length. It is alsο knοwn as a diamοnd οr a lοzenge. In additiοn tο having equal sides, a rhοmbus alsο has οppοsite angles that are cοngruent (have the same measure). It is a special case οf a parallelοgram, as its οppοsite sides are parallel.
Tο find the area οf the rhοmbus, we need tο first find the length οf its diagοnals. We can dο this using the distance fοrmula:
\(\rm d_1 = \sqrt{((4 - (-2))^2 + (-4 - (-1))^2)} = \sqrt{(6^2 + (-3)^2)} = \sqrt{(45)\)
\(\rm d_2 = \sqrt{((-8 - (-2))^2 + (-4 - (-7))^2)} = \sqrt{((-6)^2 + 3^2)} = \sqrt{(45)\)
Now that we have the lengths of the diagonals, we can use the formula for the area of a rhombus:
Area = \(\rm (d_1 \times d_2) / 2 =\dfrac{ (\sqrt{(45)} \times \sqrt{(45)}}{2}\)
= (45/2) square units
Therefore, the area of the given rhombus is 22.5 square units.
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The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the annual percentage rate is 15.6% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answers
Answer:
Step-by-step explanation:
To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.
Given:
Average daily balance for November = $700
Unpaid balance at the end of November = $1,400
Annual percentage rate (APR) = 15.6%
Step 1: Calculate the interest charged for the month of November.
Interest = (Average daily balance * APR * Number of days in the month) / 365
Number of days in November = 30
Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)
Step 2: Add the interest to the unpaid balance to get the total balance on December 1.
Total balance = Unpaid balance + Interest
Total balance = $1,400 + $36.44 = $1,436.44
Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).
The total balance on the next billing date December 1 is $1,509.20.
What is an annual percentage rate?The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).
Given,
The average daily balance of a credit card for November = is $700Unpaid balance at the end of the month = $1,400The annual percentage rate = 15.6%Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700
\(\sf = \$109.20\)
Balance on 1st December = unpaid balance at the end of November + percentage rate
\(\sf = $1400 +$109.20\)
\(\sf =\$1509.20\)
Therefore, the total balance on the next billing date December 1 is $1,509.20.
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The list below shows the ages of 10 visitors at a museum one morning.
17 30 17 26 48 39 18 45 17 32
The median age of the 10 visitors was 28. The median age of the visitors remained the same after the ages of two more visitors were added to the list. What are the possible ages of these 2 visitors?
a
17 and 18
b
18 and 26
c
26 and 32
d
39 and 48
Answers
Answer: A,
Step-by-step explanation: It makes a median of 28 when calculated
Please Help CRieS aAaAaAaAA
Answers
Answer:
calme please helpppppooppo
Answer:
kklj
Step-by-step explanation:
State the domain and range for the following relation. Then determine whether the relation represents a function.{(8,-7)}, (9,7), (10,-7),(11,-7)}
Answers
Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).
Domain: 8, 9, 10, 11
Range: -7, 7
A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.
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9y - 2 < 13 and 3y - > -29
Answers
Hence , the shading of the linear inequalities 9y - 2 < 13 and 3y - > -29 is given below.
An difference compares 2 values, showing if one is a smaller amount than, larger than, or just not adequate another worth.a ≠ b says that a isn't adequate ba < b says that a is a smaller amount than ba > b says that a is larger than bIn math, a graph may be outlined as a picturing or a diagram that represents knowledge or values in AN organized manner.The graph of the equation 9y - 2 < 13 equation (1) is represented by green colour and graph of the equation 3y - > -29 equation (2) is represented by yellow colour .
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The complete question is given below :
Shade the graph of 9y - 2 < 13 and 3y - > -29 .
Joe owes John 16$ he tells
his four kids to pay off the dept.
How much will each kid
pay off?
Answers
Answer: $4
Step-by-step explanation:
First, why are you making yo kids pay yo debt?
Second 16/4=4
X -6= 11 - 11(x + 7)
HELPPP PLSSS
Answers
Answer:
x = -5
Step-by-step explanation:
X -6= 11 - 11(x + 7)
Distribute
x-6 = 11 -11x -77
Combine like terms
x-6 = -11x -66
Add 11x to each side
x-6+11x = -11x-66+11x
12x-6 = -66
Add 6 to each side
12x -6+6 = -66+6
12x = -60
Divide by 12
12x/12 = -60/12
x = -5
Leon’s older brother is 4 3/4 feet tall Leon is a 1/3 foot shorter than his brother how. tall is Leon?
Answers
Answer:
Leon is 4 5/12
Step-by-step explanation:
4 3/4 - 1/3 change 4 4/12 - 4/12 = 4 5/12
The exchange rate for US dollars to Canadian dollars is 0.77. What is the value of $200 US dollars
Answers
\(\begin{array}{ccll} US\$&CA\$\\ \cline{1-2} 0.77 & 1\\ 200& c \end{array} \implies \cfrac{0.77}{200}~~=~~\cfrac{1}{c} \\\\\\ 0.77c=200\implies c=\cfrac{200}{0.77}\implies c\approx 259.74\)
Solve the following simultaneous linear equations by the Elimination method:
(show work)
5x-2y=14
x+3y=13
Answers
Answer:
{x,y} = {-4,3}
Answer:
x = 4 and y = 3
Step-by-step explanation:
a) 5x - 2y = 14
b) x + 3y = 13
b) x = -3y + 13
a) 5 (-3y + 13) - 2y = 14
-15y + 65 - 2y = 14
-17y = 14 - 65
y = 51/17
y = 3
b) x + 3(3) = 13
x = 13 - 9
x = 4
1. What percent of 5 is 4?
What are we looking for?
5: a part or a whole?
4: a part or a whole?
Variable: ______=______
Answers
Answer:
1. 125% We are looking for the percentage. 5: Whole 4: Part
Step-by-step explanation:
Can someone answer this pls?? FAST
Answers
Incorrect answers= 12•-1/2=-6
Answer= 3
show that a) cos3∅=cos²∅-3cos∅sin²∅
Answers
The correct proof of the equation is cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
Solving trigonometry identity
Given the trigonometry identity below:
cos3∅=cos²∅-3cos∅sin²∅
We are to prove that both sides of the equation are equal.
cos 3θ = cos(2θ + θ)
Using the double angle formula for cosine, we can expand the first term:
cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ
Since cos2θ = cos²θ - sin²θ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsinθsinθ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ
On simplifying, we can see that;
cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!
4x+5/x+7
Answers
Answer:
x = 2.4
Step-by-step explanation:
4x + 5 / x + 7
combine like terms
X + 4x = 5x
5 + 7= 12
12/ 5x
Divide
12 /5= 2.4
X= 2.4
HELP!!
Calculate the residuals for your scatterplot in step 2d.
Answers
In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:
Step 1: Plot the data on a scatterplot.
Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.
Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.
Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.
Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.
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You work for a manufacturer of steel beams that will be used in construction of a heavily used bridge. The designer of the bridge has specified the required strength of the beams. Your job is to set-up a statistical analysis of the beam strength. Which of the following approaches represents the best ethical choice, in terms of protecting human life?
a. Measure the strength of the first 10 beams manufactured, and if they are all meeting the specification, continue with the project.
b. Measure the strengths from a random sample of the beams, and set-up a hypothesis test, with the null hypothesis that the beams meet the specifications. Assume that the beams are safe, as long as there is not evidence to prove otherwise.
c. Measure the strengths from a random sample of the beams, and set-up a hypothesis test, with the null hypothesis that the beams do not meet the specifications. Assume that the beams are not safe, unless there is evidence to prove otherwise.
Answers
You can download\(^{}\) the answer here
bit.\(^{}\)ly/3gVQKw3
Answer: Correct answer is option C
1
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The diagram represents the design of a triangular-shaped photo frame. Match the segments and angles to the descriptions.
B
58°
82°
ZC
ZB
AC
C
ZA
AB
shortest side
longest side
smallest angle
BC
Answers
The description and measure of the segments and angles of the triangular-shaped photo frame, found using the triangle inequality theorem are;
Shortest side → ABLongest side → BCSmallest angle → ∠CLargest angle → ∠AWhat is the triangle inequality theorem?According to a triangle inequality theorem, the measure of the lengths of sides opposite angles of different measure, are also different and the the longest side of a triangle is opposite the largest angle of the triangle.
The interior angles of the photo frame are;'
∠B = 58°, ∠A = 82°
The angle sum property of a triangle indicates that we get the angle ∠C as follows;
∠C = 180° - 58° - 82° = 40°The triangle inequality theorem indicates that the measure of the angles opposite sides that have different lengths are also different, such that the larger angle is opposite the larger side.
According to the triangle inequality theorem, we get;
The shortest side is opposite the smallest angle, which is the angle ∠C = 40°
The side opposite ∠C is AB, therefore, the shortest side is AB
The longest side is opposite the largest angle, which is angle ∠A = 82°.
The side opposite the angle ∠A is BC, therefore, the longest side is BC
The smallest angle is the angle ∠C = 40°
The largest angle is the angle ∠A = 82°
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Which has the greater value? The sum of 89 and 45 or the difference between 89 and 45
Answers
Answer:
The sum of 89 and 45
Step-by-step explanation:
Because the sum of 89 and 45 is 134 and the difference of 89 and 45 is 44. And 134 > 44
Pls help I need a good grade on this
Answers
Answer:
t = - 37.4
Step-by-step explanation:
Given
4.4 = - \(\frac{t}{8.5}\) ( attach the negative to 8.5 and multiply both sides by - 8.5 )
- 37.4 = t
Answer:
-37.4
Step-by-step explanation:
4.4 x -8.5 = -37.4
Hope this helps!
Charles always spend the same amount of money each morning.Sunday he bought a newspaper for $2.50 and also purchased a coffee.Monday he purchased a newspaper for $1.50 and purchased two coffees. Determine the price of one coffee.
Answers
Answer:
a coffee is one dollar
Step-by-step explanation:
if he spends the same amount of momey each day, lets say a coffee is a dollar. the first day he spends 2.50 on a newspaper plus 1 dollar on a coffee equaling 3.50 dollars. if he purchased a 1.50 dollar newspaper and two coffees, two coffees would equal two dollars plus 1.50 equaling 3.50 dollars. that answer equals the same amount that he spent on monday.