An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on the other side of the river and suddenly has an idea.
Describe how she will sketch her idea to be able to determine the distance. Make a sketch and support you figure by number use meter as unit.
Answers
Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = \(\frac{opposite}{adjacent}\)
= \(\frac{x}{d}\)
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is \(30^{o}\), and the height of the tree is 10 m, then the distance, d, across the river would be;
d = \(\frac{10}{0.5774}\)
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
Related Questions
The graph shows the relationship between time and the
number of soda bottles a machine can make. Use the points
(4,200) and (7,350) to find the number of soda bottles the
machine can make each minute.
Answers
Answer:
Answer should be fifty if the graph is the only thing youre allowed to use.
I just need help with this, please! 10 points!
Answers
The given data comprises of a right triangle in which the base is denoted by x whose value is found to be 10.01.
Define trigonometric identity of sine?It states that the ratio of the length of the side opposite to the angle to the length of the hypotenuse is equal to the sine of the angle.
The given data comprises of a right triangle in which the base is denoted by x and the perpendicular is 8. The angle formed between the base and hypotenuse is 53 degree.
To solve this problem, we can use the trigonometric identity of sine.
Mathematically, it can be expressed as:
sin 53° = Perpendicular/Hypotenuse
8/x = sin 53°
x = 8/sin 53°
x = 8/ 0.7986
x ≈ 10.01
Hence, the value of x is 10.01.
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41 points. What is the range of this data set? 2.1, 2.6, 7.2, 5.5, 4.1, 5.5, 7.5, 6.1 A. 5.1 B. 5.5 C. 5.4 D. 7.5
Answers
Answer:
C. 5.4
Step-by-step explanation:
Range means highest number minus lowest number.
7.5 - 2.1 = 5.4
\(answer =5.4 \\ given \: data = 2.1 , 2.6 , 7.2 , 5.5 ,4.1 , 5.5 ,7.5 , 6.1 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: = \: 7.5 - 2.1 \\ \: \: \: \: \: = 5.4 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)
Find part b m of c and m if a. Please explain.
Answers
Answer:
Step-by-step explanation:
a) the opposite angles of a quadrilateral inscribed in a circle are supplementary
70 + angle D = 180
angle D = 180 - 70
angle D = 110 degrees
b) DAB is a semicircle, so angle A and angle C are two circumference angles whose sides passes through the extremes of the diameter.
The centre angle of a semicircle is 180 degrees and its circumference angle is half that measure, so its value is 90 degrees
A = 90 degrees
C = 90 degrees
Is Figure A a reflection of figure b explain your reasoning
Answers
Because the line of symmetry goes vertically down the centre of the box figure A is in and figure B appears on the opposite side of the box
Given that E is the midpoint of AD and BC, which of the following proves that AB∥CD?
HELP ASAP!
Answers
The proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. \(\overline{AE} \cong \overline{ED}\) ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. \(\overline{BE} \cong \overline{EC}\) ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
The given figure showing ΔABE ≅ ΔDCE is in the image attached below.
We know that:
E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.
E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.
∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.
This means that ΔAEB and ΔDEC have:
two pairs of congruent sides - AE ≅ ED and BE ≅ EC
one pair of congruent included side - ∠AEB ≅ ∠CED
Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.
If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.
Therefore, AB∥CD by the CPCTC Theorem.
Thus, the proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. \(\overline{AE} \cong \overline{ED}\) ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. \(\overline{BE} \cong \overline{EC}\) ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
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What are the solutions for the given equation?
Ox= -2±2√//5
O x = -2±i√5
O x = -2±2i √5
0 x = -2± √√√5
x² + 4x +9=0
Answers
The equation x² + 4x + 9 = 0 are complex numbers: x = -2 + i√5 and x = -2 - i√5.
To find the solutions for the equation x² + 4x + 9 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Comparing this equation with the given equation x² + 4x + 9 = 0, we can see that a = 1, b = 4, and c = 9.
Plugging in these values into the quadratic formula, we have:
x = (-4 ± √(4² - 4(1)(9))) / (2(1))
x = (-4 ± √(16 - 36)) / 2
x = (-4 ± √(-20)) / 2
Since the value inside the square root is negative, we know that the solutions will involve complex numbers. Simplifying further, we have:
x = (-4 ± i√20) / 2
x = (-4 ± 2i√5) / 2
Simplifying the expression by dividing both the numerator and denominator by 2, we get:
x = -2 ± i√5
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what assumption is necessary about the population distribution in order to perform a dependent means hypothesis test?
Answers
The assumption of the differences between the paired observations is necessary about the population distribution in order to perform a dependent means hypothesis test.
A dependent means hypothesis test, also known as paired or matched samples, must be conducted on the presumption that the population's differences between the paired observations are normally distributed. Because the test is dependent on the distribution of the sample mean differences, which is presumed to be normally distributed, this assumption is required.
The standard error of the mean difference and the construction of confidence intervals both need the assumption of normality. Other techniques, including non-parametric testing, may be more suited if the population distribution is not normal.
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100 points
.
I know the answer I just need explanation as to why this is the answer!
The question:
3. Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.
The answer:
Student A is Wrong and student B is correct!
The work of the students:
You are given line AB and point C. Construct a line parallel to line AB that passes through point C.
Student A Steps:
Draw a line that intersects points B and C.
Draw a line through point C and point G.
Keep the compass at the same width, and place it on point C.
Keeping the compass at the same width, place it on point F.
Mark the intersection of the two arcs as point G.
Open the compass to the width between points D and E.
Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.
Swing an arc that crosses line BC, and label the point F.
Swing an arc that intersects the arc created from line BC at point C.
Student B steps:
Draw a line that intersects points B and C.
Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.
Keep the compass at the same width, and place it on point C.
Swing an arc that crosses line BC, and label the point F.
Open the compass to the width between points D and E.
Keeping the compass at the same width, place it on point F.
Swing an arc that intersects the arc created from line BC at point C.
Mark the intersection of the two arcs as point G.
Draw a line through point C and point G.
Answers
Student A is wrong and Student B is correct.
How?
Direction is saying to construct a line that passes through C The last step is enough to describe that A is wrong.Its saying to swing an arc(Should be line).On the other hand Student B has done correct By passing point through C and G it satisfies our required construction.at a booth at the school carnival in past years, they've found that 22% of students win a stuffed toy ($3.60), 16% of students win a jump rope ($1.20), and 6% of students win a t-shirt ($7.90). the remaining students do not win a prize. if 150 students play the game at the booth, how much money should the carnival committee expect to pay for prizes for that booth?
Answers
The carnival committee should expect to pay $218.70 for prizes at the booth.
We can start by calculating the expected number of students who win each prize:
Stuffed toy: 22% of 150 students = 0.22 x 150 = 33 students
Jump rope: 16% of 150 students = 0.16 x 150 = 24 students
T-shirt: 6% of 150 students = 0.06 x 150 = 9 students
No prize: 100% - (22% + 16% + 6%) = 56% of 150 students = 0.56 x 150 = 84 students
Next, we can calculate the total amount of money that the carnival committee should expect to pay for prizes at the booth:
Stuffed toy: 33 students x $3.60 per toy = $118.80
Jump rope: 24 students x $1.20 per rope = $28.80
T-shirt: 9 students x $7.90 per shirt = $71.10
Total cost of prizes = $118.80 + $28.80 + $71.10 = $218.70
Therefore, the carnival committee should expect to pay $218.70 for prizes at the booth.
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what is the difference of ( 3x^2 - 2x +5 ) - ( x^2 + 4x - 11 ) written in standard form ?
Answers
Answer:
–3x + 22
Step-by-step explanation:
x + 2(x – [3x – 8] + 3)
x + 2(x – 1[3x – 8] + 3)
x + 2(x – 1[3x] – 1[–8] + 3)
x + 2(x – 3x + 8 + 3)
x + 2(–2x + 11)
x + 2(–2x) + 2(+11)
x – 4x + 22
1x – 4x + 22
–3x + 22
Negative six plus 2x by (x plus 1)
Step-by-step explanation:
(3x^2 - 2x + 5) - (x^2 + 4x - 11)
(3x^2 - 2x + 5) - (x^2 + 4x - 11)
3x^2 - 2x + 5 - x^2 + 4x - 11
2x^2 + 2x - 6
= -6 + 2x (x + 1)
i need help fast pls
Answers
Answer:
positive numbers show deposits so it'd be A! $126.40
Fill in the blank.
The square of the _______ of a right triangle equals the sum of the squares of the lengths of the two legs.
Answers
Answer:
Its the hypotenuse!
Step-by-step explanation:
The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs of the right triangle.
Hope this helps!
Which of the following number lines shows the solution to the compound inequality given below?
-2<3r+4<13
Answers
Answer:
We get -2 < r < 3
Corresponding to the fourth choice
The fourth number line is the correct option
Step-by-step explanation:
-2 < 3r+4 < 13
We have to isolate r,
subtracting 4 from each term,
-2-4< 3r + 4 - 4 < 13 - 4
-6 < 3r < 9
divding each term by 3,
-6/3 < r < 9/3
-2 < r < 3
so, the interval is (-2,3)
or, -2 < r < 3
this corresponds to
The fourth choice (since there is no equality sign)
weights of american adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. what is the probability that a randomly selected individual will be between 185 and 190 pounds?proposed solution: pnorm(190-185,180,8)
Answers
There is 16.2% probability that a randomly selected individual will be between 185 and 190.
What is probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
What is Z score?
A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.
z = (x - μ) / σ
where μ is the mean, x = raw score and σ is the standard deviation.
Given,
mean = 180
standard deviation = 8 pounds.
For 185
z = (185 - 180)/8 = 0.625
for 190
z = (190 - 180)/8 = 1.25
P(185 < x < 190) = P(0.625 < z < 1.25) = P(z < 1.25) - P(z < 0.625) = 0.8944 - 0.7324 = 16.2%
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Which of the following represents the prime factorization of 72?
23 ∙ 32
22 ∙ 33
23 ∙ 32 ∙ 4
2 ∙ 32 ∙ 42
plz help and fast
Answers
Answer:
2^3.3^2
Step-by-step explanation:
\( {2}^{3 ?} = 8 \\ {?3}^{2?} = 9 \\ 8 \times 9 = 72\)
Answer:
2.2.2.3.3.
72 / 2 = 36
36/2 = 18
18/2 = 9
9/ 3= 3.
So the answer to your question is 2.2.2.3.3.
Hope this helps!
Have a great day and stay safe! :))))))
Which option describes the end behavior of the function f(x) = -7(x - 3)(x+3)(6x + 1)? Select the correct answer below: O falling to the left, falling to the right O falling to the left, rising to the right O rising to the left, falling to the right O rising to the left, rising to the right
Answers
Rising to the left, rising to the right describes the end behavior of the function f(x) = -7(x - 3)(x+3)(6x + 1). The correct answer is D.
The end behavior of a function refers to the behavior of the function as x approaches positive or negative infinity.
In the given function f(x) = -7(x - 3)(x + 3)(6x + 1), we can determine the end behavior by looking at the leading term, which is the term with the highest degree.
The highest degree term in the function is (6x + 1). As x approaches positive infinity, the term (6x + 1) will dominate the other terms, and its behavior will determine the overall end behavior of the function.
Since the coefficient of the leading term is positive (6x + 1), the function will rise to the left as x approaches negative infinity and rise to the right as x approaches positive infinity.
Therefore, the correct answer is D O rising to the left, rising to the right.
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How do I do this?
.
.
Answers
Answer:
the answer is 4 i believe
Step-by-step explanation:
Fatoumata has a points card for a movie theater.
She receives 70 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 165 points for a free movie ticket.
What is the least number of visits she needs to make in order to earn a free movie ticket?
Answers
Answer:
8 visits.
Step-by-step explanation:
To earn a free movie ticket, Fatoumata needs to earn at least 165 points. She has already received 70 points for signing up, so she needs to earn an additional 165 - 70 = 95 points. Since she earns 12.5 points per visit to the movie theater, she needs to make at least 95 / 12.5 = <<95/12.5=7.6>>7.6 visits to the movie theater. Since she can't visit the movie theater a fraction of a time.
T/F your dentist tells all ucsb students that eating chocolate increases tooth decay. as a result, the equilibrium price of chocolate at ucsb
Answers
Answer:
true
Step-by-step explanation:
It would really help if someone could tell me the answers for those questions
Answers
1) 2.4
2) 6.4
3) 7.7
4) 9.9
5) 2.8
Hope it helps <3
Just basic simplification, make 1 of the variable alone on one side
can someone help me with the code
Answers
The price of one adult ticket is $16.30 and the price of one child ticket is $7.76.
We are given that;
Number of tickets=8
Money made=$88
The method of elimination to find the price of one adult ticket and one child ticket. Let x be the price of one adult ticket and y be the price of one child ticket. Then we can write a system of linear equations based on the given information:
3x + 8y = 66
8x + 15y = 147.50
To eliminate x, we can multiply the first equation by -8 and add it to the second equation:
-24x - 64y = -528
8x + 15y = 147.50
-49y = -380.50
y = 7.76
To eliminate y, we can multiply the first equation by -15 and add it to the second equation:
-45x - 120y = -990
120x + 225y = 2212.50
75x = 1222.50
x = 16.30
Therefore, by algebra the answer will be $16.30 and $7.76.
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Which situation is best represented by the equation y = 5x + 10?
Answers
Answer:
i will say its A
Step-by-step explanation:
Find the Area! Need help asap
Answers
Answer:
5.6ft squared
Step-by-step explanation:
4x7 = 28 divided by 5 which is 5.6
Evaluate (4)^-4 pls answer!!!
Answers
Answer:
Fraction: 1/256 or
Decimal: 0.00390625 or 0.00391
Step-by-step explanation:
4^-4=1/4^4
4^4=256
=1/256
What is the value of the rational expression when x = 2?
Answers
Answer:
4
Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.
Find the circumferences of of both circles to the nearest hundredth.
9 ft
2.5 ft
L
18
The circumference of the yellow circle is about
ft.
The circumference of the purple circle is about
ft.
ty
Answers
Answer:
yellow circle = 43.96 ft
purple circle = 28.26 ft
Step-by-step explanation:
yellow circle = πd = (3.14)(14) = 43.96 ft
purple circle = πd = (3.14)(9) = 28.26 ft
I NEED HELP REALLY FAST AND EXPLAIN HOW YOU SOLVED IT PLEASE
Answers
Answer:
C
Step-by-step explanation:
All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.
If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25
because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is _____ to outliers.
Answers
Answer:
resistant
because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.
lou and mira want to rescind their contract under which lou sold an mp3 player to mira for $50. to rescind the contract
Answers
Lou and Mira can rescind the contract to sell an MP3 player to Mira for $50 if both parties agree to the terms of rescission and sign a written agreement.
Rescission of a contract refers to an equitable remedy granted by the courts or given as a contractual right to one party to terminate a contract. This remedy returns the parties to their former positions before the contract's execution, which requires that both parties to a contract return whatever benefits they had received during the transaction.
In Lou and Mira's scenario, the rescission of their contract to sell an MP3 player to Mira for $50 can be possible if the parties reach an agreement to rescind the contract in writing. The following steps should be taken to rescind the contract:
1. The parties should agree to rescind the contract: For a rescission to be effective, both parties must consent to rescind the contract. This is possible if both parties agree to the terms of rescission and sign a written agreement. The agreement must state the date of rescission, the reason for the rescission, and the terms of the agreement.
2. Restitution: Restitution refers to the return of the subject matter of the contract. Since it is an MP3 player, Lou must return the MP3 player to Mira. In turn, Mira must also return the $50 to Lou. This will effectively end the contract, and the parties can go their separate ways.
3. Cancellation of any obligations: The parties must agree to cancel any obligation that arose from the contract. In this case, no obligations may arise from the rescission of the contract, so no further action is required.
4. Record keeping: It is crucial to keep a record of the rescission agreement. This record will serve as evidence of the rescission if any legal issues arise. It should include the date of rescission, the reasons for rescission, and the terms of the agreement. The parties must keep a copy of the document for their records.
In conclusion, Lou and Mira can rescind the contract to sell an MP3 player to Mira for $50 if both parties agree to the terms of rescission and sign a written agreement. The agreement must include the date of rescission, the reason for rescission, and the terms of the agreement.
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