Find the angle of the sun above the horizon when a person 5.94 ft tall casts a shadow 9.74 ft long.
Answers
The angle of the sun above the horizon when a person 5.94 ft tall casts a shadow 9.74 ft long is approximately 34.45 degrees.
To find the angle, we can use the concept of similar triangles. The person's height, the length of the shadow, and the distance between the person and the tip of the shadow form a right triangle.
Let's denote the angle of the sun above the horizon as "θ". We can use the tangent function to find the angle:
tan(θ) = opposite/adjacent
In this case, the opposite side is the person's height (5.94 ft) and the adjacent side is the length of the shadow (9.74 ft).
tan(θ) = 5.94/9.74
To find the angle θ, we can take the inverse tangent (arctan) of both sides:
θ = arctan(5.94/9.74)
Using a calculator, we can evaluate this expression to find that θ is approximately 34.45 degrees.
Therefore, the angle of the sun above the horizon when a person 5.94 ft tall casts a shadow 9.74 ft long is approximately 34.45 degrees.
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Related Questions
Solve for v
6v=96
Simplify your answer as much as possible.
Answers
3x+9+4x+x=
3x+9+4x+x=
Answers
Answer:
-9/8
Step-by-step explanation:
3x + 9 + 4x + x
Collect like terms
3x + 4x + x = -9
8x = -9
Divide both sides by 8
8x/8 = -9/8
x = -9/8
Artie, growing a mustache? Looks good.
- Hear about Frankie?
- Yeah.
- You going to the funeral?
- No, I'm not going.
Everybody knows,
sting someone, you die.
Don't waste it on a squirrel.
Such a hothead.
I guess he could have
just gotten out of the way.
I love this incorporating
an amusement park into our day.
That's why we don't need vacations.
Boy, quite a bit of pomp...
under the circumstances.
- Well, Adam, today we are men.
- We are!
- Bee-men.
- Amen!
Hallelujah!
Students, faculty, distinguished bees,
please welcome Dean Buzzwell.
Welcome, New Hive Oity
graduating class of...
...9:15.
That concludes our ceremonies.
And begins your career
at Honex Industries!
Will we pick ourjob today?
I heard it's just orientation.
Heads up! Here we go.
Keep your hands and antennas
inside the tram at all times.
- Wonder what it'll be like?
- A little scary.
Welcome to Honex,
a division of Honesco
and a part of the Hexagon Group.
This is it!
Wow.
Answers
Answer:
Definitely not math but English
Step-by-step explanation:
To get to 1, divide 88 by .... From 1, multiply by ....to get to 104. OR, in a single step, multiply 88 by .... to get to 104.
Answers
Answer:
step 1: Divide 88 by 104 to get the number as a decimal. 88 / 104 = 0.85.
Step 2: Multiply 0.85 by 100. 0.85 times 100 = 84.62. That's all there is to it!
Step-by-step explanation:
Select the correct answer from each drop-down menu.
AABC is translated 6 units up and 3 units left to create AABC
If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at
Reset
V
and vertex B is at
Next
Answers
From the translation described, If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at (-4, 8). See the justification for the same below.
What is a vertex?A vertex is a specific point of a mathematical object that is often where two or more lines or edges intersect. Angles, polygons, polyhedra, and graphs are the most typical places to find vertices. Nodes are another name for graph vertices.
The explanation of the translation is given as follows:
According to the translation rule for translating a point h units left is given as:- (x, y) → (x-h, k)
The translation rule for translating point k units up is given as:
(x,y) → (x, y+k).
Since ∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at (1, 5).
Then,
The vertex A' =
A (-1, 2) → (-1 -3, 2+6)
= (-4, 8)
Therefore, the vertex A' is at (-4,8).
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From the translation described, the vertex A' is at the point (-4,8).
What is a vertex?A vertex is a specific point of a mathematical object that is often where two or more lines or edges intersect.
Angles, polygons, and graphs are the most typical places to locate the vertices.
The explanation of the translation will be:
Based on the translation rule for translating a point h units left is follows as
(x, y) → (x-h, k)
The translation rule for point k units up is follows as:
(x,y) → (x, y+k).
Since ∆ABC is translated to the 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at; (1, 5).
The vertex A' ;
A (-1, 2)
(-1 -3, 2+6)
= (-4, 8)
Therefore, the vertex A' is at the point (-4,8).
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What are the 3 angle bisectors of a triangle intersect?.
Answers
The three angle bisector of a triangle intersect at a single point that point of concurrency of the angle of bisectors is called the incenter.
Given:
the 3 angle bisectors of a triangle intersect.
when three angle bisector of a triangle intersect then that point of concurrency is called incenter.
Incenter:
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.
Incenter formula:
= (ax1+bx2+x3 / a+b+c , ay1+by2+y3 / a+b+c).
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FMECA is a bottom-up (Hardware) or top-down (Functional) approach to risk assessment. It is inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode and Causes/ Mechanisms. These elements closely resemble the modern 5 Why technique. Thus answer: To estimate reliability of software, most software prediction models use probability density function to predict, choose one Group of answer choices Mean time between failures Consensus of the team Number of failures observed in each test interval Mean time to failurel
Answers
FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."
FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.
However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.
PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.
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It takes 120 minutes to drive home at 60kmh
how long it will take to drive home at 120kmh
Answers
Answer: 240 mins
Step-by-step explanation:
Answer = 60mins
A group of volunteers for a clinical trial consists of 123 women and 178 men. 54 of the women and 46 of the men have high blood pressure. If one of the volunteers is selected at random find the probability that the person is a man given that they have high blood pressure.
Answers
The probability that a person is a man given that they have high blood pressure is 0.46 or 46%.
We are given that there are 123 ladies and 178 men within the bunch of volunteers for a clinical trial, and 54 of the ladies and 46 of the men have tall blood weights.
We are inquired to discover the likelihood that an arbitrarily selected volunteer who has a tall blood weight may be a man.
Let M be the occasion that a volunteer could be a man,
and H be the occasion that a volunteer has a tall blood weight.
We need to discover P(M|H), the likelihood that a volunteer could be a man given that they have tall blood weight.
By Bayes' hypothesis, we have:
P(M|H) = P(H|M) * P(M) / P(H)
Ready to find the probabilities on the right-hand side of this condition as taken after
P(H|M) = 46/178, the likelihood that a man has a tall blood weight
P(M) = 178/(123+178), the likelihood that a volunteer may be a man
P(H) = (54+46)/(123+178), the likelihood that a volunteer has tall blood weight
Substituting these values into the condition, we get:
P(M|H) = (46/178) * (178/(123+178)) / ((54+46)/(123+178))
P(M|H) = 46/100
P(M|H) = 0.46
Therefore, the likelihood that a haphazardly(randomly) chosen volunteer who has high blood weight could be a man is 0.46 or 46%.
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pls hurry. 10. Select all numbers that represent a solution of the equation below.
Answers
\(x^2=196\\x=-\sqrt{196} \vee x=\sqrt{196}\\x=-14 \vee x=14\)
Therefore, it's A and D.
✨I NEED A SMART PERSON✨ (math)
Answers
Answer:
A and E.
Step-by-step explanation:
Using the math from 7th grade, 6 rooted is 36/9=4+10 is 14. Everything else you must multiply everything in parenthesis, by the outside number, then you add them. E is right because -15+35=20-6=14. Yw.
Will mark brainliest. Please help ASAP
Answers
Answer:
1/4000
1 milimeter on paper means 4000 in real
In hypothesis testing, what does an extreme value for the test statistic indicate?.
Answers
An extreme value for the test statistic indicates that the null hypothesis is false.
The test statistic is a measure of the difference between the two groups being compared. An extreme value means that the difference between the two groups is large. This means that the null hypothesis, which states that there is no difference between the two groups, is false.
The test statistic is a measure of the difference between the observed data and the expected data under the null hypothesis. The null hypothesis is the hypothesis that there is no difference between the observed data and the expected data. The extreme value of the test statistic indicates that the observed data is very different from the expected data, and that the null hypothesis is false.
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Expand 4(x + 2).
4(x + 2) =
Answers
Answer:
\(4x + 8\)
Step-by-step explanation:
Hi!
So we have to use the distributive property here and distribute 4 to both the x and the 2.
So we do
\((4*x)+(4*2)\)
Simplify further:
\(4x + 8\)
That's your answer
Let u, v and w be nonzero vectors in R3. If u and v are each
orthogonal to w, then
2u − 3v is orthogonal to w. Is this true or false and why?
Answers
This statement is true. In other words, if vectors u and v are each orthogonal to vector w, then the vector 2u - 3v is also orthogonal to vector w.
Given that, let u, v and w be nonzero vectors in R3. If u and v are each
orthogonal to w
If vectors u and v are each orthogonal to vector w, it means that the dot product of u and w is zero and the dot product of v and w is also zero. Mathematically, this can be expressed as u · w = 0 and v · w = 0.
Now, let's consider the vector 2u - 3v. We can find its dot product with vector w as follows:
(2u - 3v) · w = (2u) · w - (3v) · w.
Since both u and v are orthogonal to w, their dot products with w are zero. Therefore, we can simplify the expression as follows:
(2u - 3v) · w = 2(u · w) - 3(v · w) = 2(0) - 3(0) = 0.
Hence, the dot product of 2u - 3v and w is zero, which implies that the vector 2u - 3v is orthogonal to vector w.
Therefore, if vectors u and v are each orthogonal to vector w, then the vector 2u - 3v is also orthogonal to vector w.
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Simplify
3(2x^4y^6)^5
——————-
(3x^6y^3)^4
Answers
Answer:
10/ 3
Step-by-step explanation:
3 × (48 xy) × 5/ (54 x y) × 4
3 × 48x y x 5/ 54 xy × 4
12 × 5/ 18
2 × 5 / 3
10/ 3
hope it helps!
Determine whether each of these statements is true or false.a) 0 ∈ ∅ b) ∅∈{0}c) {0}⊂∅ d) ∅⊂{0}e) {0}∈{0} f ) {0}⊂{0}g) {∅} ⊆ {∅}
Answers
a) True, b) False, c) False, d) True, e) False, f) False, g) True
a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.
b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.
c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.
d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.
e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.
f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.
g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.
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what’s 75 percent of 120
Answers
Answer:
90
Step-by-step explanation:
q
Multiply 75 by 100 and divide it by 120z
Rewrite and simplify. 64-3/4
Answers
Answer:
64 - .75
64 - .75 = 63.25
have a good day/night
Answer: 63.25 (Decimal) or 63 1/4 (fraction)
Step-by-step explanation: 64 - 3/4. 3/4 is 0.75 in decimal form, so subtracting it would be 63.25 which would be 63 1/4 in fraction form. I don’t think you can simplify it since 1/4 is already at it’s smallest form.
Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 6 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
Answers
It will take 25 minutes for the two containers to have the same amount of water .
In the question ,
it is given that ,
water present in container A = 200L
water present in container B = 500L
rate at which the water is filling in container A= 6 liter/minute
rate at which the water is draining in container B = 6 liter/minute
let the time taken = m minutes ,
So , According to the question ,
the equation representing the situation is
200 + 6m = 500 - 6m
Simplifying further , we get
6m + 6m = 500 - 200
12m = 300
m = 300/12
m = 25
Therefore , It will take 25 minutes for the two containers to have the same amount of water .
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2. Write the following number in standard form: (3.NSBT.4)
three hundred eighty-four thousand, twenty-two
T T
Answers
rms/d/e/1FAIpQLSÜDABFGIUJs31xO8JDRug2175ehNYt_F-yaPG7RkyQmW5_puw/viewform?hr_submission=Chki-
ara Sutton - Cla..
Clear selection
6 points
2. The seniors at our high school decided to play a prank on the principal
by completely filling his office with basketballs. To determine the number
of basketballs needed the students measured the room after moving out
the furniture. If the room measured 15 ft by 20 ft by 10 ft, approximately
how many basketballs did the students put in the principal's office? The
basketballs had a diameter of 9.2 inches. (Volume of sphere = (4/3)Nr3)
Answers
Answer:
12709 balls
Step-by-step explanation:
Given
Dimension of Room = 15 ft by 20 ft by 10 ft
Diameter of Ball = 9.2 inches
Required
Determine the number of balls that can be occupied by the room
First, we need to calculate the volume of the room
This is done by multiplying the dimensions of the room
\(Volume = 15ft * 20ft * 10ft\)
\(Volume = 3000ft^3\)
Next, we calculate the volume of the ball.
The ball is a sphere.
So:
\(Volume = \frac{4}{3}\pi r^3\)
Where
\(r = \frac{1}{2} * Diameter\)
\(r = \frac{1}{2} * 9.2\)
\(r = 4.6\ in\)
So:
\(Volume = \frac{4}{3}\ * \frac{22}{7} * (4.6in)^3\)
\(Volume = 407.88419\ in^3\)
To calculate the number of balls, we then divide the volume of the room by volume of a ball
\(Balls = \frac{3000\ ft^3}{407.88419\ in^3}\)
Convert ft^3 to in^3
\(Balls = \frac{3000 * 1728in^3}{407.88419\ in^3}\)
\(Balls = \frac{3000 * 1728}{407.88419}\)
\(Balls = \frac{5184000}{407.88419}\)
\(Balls = 12709.4899167\)
\(Balls = 12709\) -- approximated
Hence, the room will contain 12709 balls
Practice adding and subtracting rational expressions with
ASSIGNMENT like denominators.
Find the sum:
2
x+3
x + 1
+1
2x+1
2x? +2
x + 1
aft.
2x + 1
X2+1
2
Tutor
DONE
Answers
Answer:
The answer is c
Step-by-step explanation:
calculator
which graph of ordered pais shows a proportional relationship? i need help lol
Answers
Taylor and Anya live 63 miles apart. Sometimes on a Saturday, they ride their bikes toward each other's houses and meet somewhere in between. Taylor is a very consistent rider - she finds that her speed is always very close to 12.5 miles per hour. Anya rides more slowly than Taylor, but she is working out and so she is becoming a faster rider as the weeks go by. On a Saturday in July, the two friends set out on their bikes at 8 am. Taylor rides at 12.5 miles per hour, and Anya rides at 5.5 miles per hour. After one hour, how far apart are they?
Answers
Answer:
Answer should be 45 tell me if i am wrong!
Step-by-step explanation:
One eighth of a number is less than or equal to 3
Answers
\(\huge\underline\color{skyblue}{Answer ☘}\)
let the number be x.
according to Question...
\( \frac{1}{8} x \leqslant 3 \\ x \leqslant 3 \times 8 \\ x \leqslant 24\)
hope helpful~
Recurring decimal rational of 0,124
Answers
Answer:
124/999
Step-by-step explanation:
A recurring decimal fraction can be expressed as a rational number by using the recurring digits in the numerator and an equal number of 9s in the denominator:
\(0.\overline{124}=\dfrac{124}{999}\)
This fraction cannot be reduced.
_____
Additional comment
If the recurring digits don't start at the decimal point, then you can determine the fraction by ...
Multiply the number by 10^n, where n is the number of recurring digitsSubtract the original number. This will cancel the recurring part of the number so the difference is a finite decimal.Divide by (10^n -1) and simplify the fraction.In this case, you would get ...
\(1000x = 124.\overline{124}\\\\1000x-x=124.\overline{124}-0.\overline{124}=124\\\\x=\dfrac{124}{999}\)
Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Answer:
(-2, 11) and (2, 3)
Step-by-step explanation:
Given system of equations:
1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3
2) f(x) = -2x + 7 ⇒ y = -2x + 7
Solve Using the Substitution Method:
Step 1: Substitute the the first equation into the second.
⇒ x² - 2x + 3 = -2x + 7
Step 2: Solve for x.
x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]
x² - 2x + 2x + 3 = -2x + 2x + 7
⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]
x² + 3 - 3 = 7 - 3
⇒ x² = 4 [ Take the square root of both sides. ]
√x² = √4
x = ± 2
⇒ x = -2, x = 2
Step 3: Solve for y.
Substitute the found x-values into one of the given equations.
y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11
y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3
The solutions to the system of equations are: (-2, 11) and (2, 3).
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write a pythogorean triplet whose smallest number is 16
Answers
Answer:
(16, 63, 65)
Step-by-step explanation:
A Pythagorean Triple is a set of positive integers, a, b and c that fits the rule: a² + b² = c²
Use the formula for generating triples (a, b, c):
(2m, m² - 1, m² + 1) where 2m is the smallest number
Let
a = 2mb = m² - 1c = m² + 1Given a = 16 ⇒ m = 8
⇒ b = 8² - 1 = 63
⇒ c = 8² + 1 = 65
So the pythogorean triple whose smallest number is 16 is (16, 63, 65)
Find f.
write your answer as an integer or as a decimal rounded to the nearest tenth.
Answers
In the give diagram, the value of f is 6.0
The Law of sinesFrom the question, we are to determine the value of f
Using the law of sines, we can write that
\(\frac{f}{sinF} =\frac{e}{sinE}\)
From the given information,
F = 27°
e = 13
E = 98°
Putting the parameters into the equation, we get
\(\frac{f}{sin(27)} =\frac{13}{sin(98)}\)
\(\frac{f}{0.4540} =\frac{13}{0.9903}\)
\(f=\frac{13 \times 0.4540}{0.9903}\)
f = 5.9598
f ≅ 6.0
Hence, the value of f is 6.0
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