a 6-foot person standing 29 from a street light casts an 8-foot shadow. what is the height of the street light?
Answers
The height of the street light can be calculated by using the ratio of the person's height to their shadow length. The street light is 17 feet tall.
The height of the street light can be calculated by using the ratio of the person's height to their shadow length. In this case, the person is 6 feet tall and their shadow is 8 feet long. This gives us a ratio of 6:8 or 3:4. Since we know the person is standing 29 feet away from the street light, we can use this ratio to calculate the height of the street light. Using the ratio, we can say that for every 4 feet the person is away from the street light, the light is 3 feet tall. So if the person is 29 feet away from the street light, the light must be 3 x 29 ÷ 4 = 21.75 feet tall. However, since the height of the street light must be a whole number, we can round up and say that the street light is 17 feet tall.
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Related Questions
The back-to-back stemplots compare the ages of players from two minor-league hockey teams (1|9 = 19 years). Which statement is NOT true according to the plots? A) The age ranges of both teams are similar. B) The median age of both teams is the same. C) Both age distributions are skewed to the right. D) There are no outliers by the 1.5IQR rule in either distribution.
Answers
Answer: D) There are NO outliers by the 1.5lQR rule in either distribution
Step-by-step explanation:
Which approach to probability assumes that the events are equally likely?a. mutually exclusiveb. empiricalc. subjectived. classical
Answers
The approach to probability that assumes that the events are equally likely is d. classical probability.
Classical probability, also known as a priori or theoretical probability, is based on the assumption that all possible outcomes of an experiment or event are equally likely. In this approach, probability is determined by the ratio of favorable outcomes to the total number of equally likely outcomes.
For example, when rolling a fair six-sided die, the classical probability of rolling a specific number, such as a 3, is 1 out of 6 because there is one favorable outcome (rolling a 3) out of six equally likely outcomes (rolling any number from 1 to 6).
Classical probability is often used in situations where the outcomes are known and the sample space is well-defined. However, in practice, events may not always have equally likely outcomes, and other approaches such as empirical or subjective probability may be more appropriate.
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PLEASE HELP!!!
Find the slope of the line graphed below.
Answers
Answer:
slope = -8/5
Step-by-step explanation:
m= y2-y1/x2-x1
m=(4-(-4))/(-1-4)
m= 8/-5
Answer:
-8/5
Step-by-step explanation:
Sally and anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Which expression can be used to find how much money each woman spent? one-half (9 + 1. 35 + 3. 50 + 1. 74) 9 + 1. 35 + one-half (3. 50 + 1. 74) 18 + 2. 70 + one-half (3. 50 + 1. 74) 9+1. 35+2(3. 50+1. 7).
Answers
Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
As given in the question,
Condition for the expression:
Sally and Anne both went for a movie.
Each one purchased a drink.
Shared one popcorn and one veggie bought by them.
Consider movie ticket price = 9
drink price = 1.35
Popcorn price = 3.50
Veggie price = 1.74
Explanation for different expressions are:
1. one-half (9 + 1. 35 + 3. 50 + 1. 74)
Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.
2. 9 + 1. 35 + one-half (3. 50 + 1. 74)
This is correct option as it represents :
Movie ticket price = 9
Drink = 1.35
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
3. 18 + 2. 70 + one-half (3. 50 + 1. 74)
As per consideration of price this is not correct option.
Movie ticket price =18
Drink = 2.70
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
4. 9+1. 35+2(3. 50+1. 7)
This is not correct option as popcorn and veggie price is doubled.
Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
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:>) The senior class at Wildgrove High School is graduating. The number of students
receiving diplomas dictates the duration of the graduation ceremony.
)) s = the number of students receiving diplomas
d = the duration of the graduation ceremony
=
)) Which of the variables is independent and which is dependent?
1)
s is the independent variable and d is the dependent
variable
d is the independent variable and s is the dependent
variable
Submit
Answers
Answer:
s is the independent variable and d is the dependent variable.
Step-by-step explanation:
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Calculate the area of the regular pentagon below:
A regular pentagon with side length of 22.3 inches and dotted line from center to middle of side of 15.4 inches.
(4 points)
a
686.84 square inches
b
732.34 square inches
c
858.55 square inches
d
1717.1 square inches
Answers
The area of the regular pentagon is approximately 732.34 square inches.
What is Polygon?A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
To calculate the area of a regular pentagon, we can use the formula:
Area = (1/4) ×√(5(5 + 2√5)) × side²
the side length of the pentagon is 22.3 inches, we can substitute this value into the formula:
Area = (1/4)√(5 (5 + 2√5)) (22.3)²
Area = 732.34 square inches
Therefore, the area of the regular pentagon is approximately 732.34 square inches.
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100 points plz answer
Answers
Answer:
The answer to this is 3x+8
Answer:
x + 4
Step-by-step explanation:
Factor the polynomial.
6 (x+4)^2
Dan and Paul share some money in the ratio 9:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?
Answers
Answer:
Ratio is 9:5 so 14 parts of x. Paul gets 5/14 of x.
Dan gives Paul 32 to make it even split.
So 5/14 ( x) + 32 = 7/14(x)
32 = (7/14 - 5/14)x = 2/14 x = x/7
x= 7(32) = 224
(5/14)224 = 80.
Paul received £80 at first.
An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
Answers
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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Write an equation of the line
Answers
Answer:
y= -2/1x + 8 or y= -2x + 8
Step-by-step explanation:
Please help, im so lost
Answers
Answer:
The Angle is AABC
they met at =46
mSAU= 92
SV=22
If the scale factor between the sides is 5, what are the scale factors between the surface areas and volumes?
Answers
If the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.
When the scale factor between the sides of a shape is given, the scale factors between the surface areas and volumes can be determined by considering the relationship between the dimensions.
Let's denote the scale factor between the sides as "k."
For surface area:
The surface area of a shape is determined by the square of its linear dimensions. Therefore, the scale factor for the surface area will be k^2. In this case, if the scale factor between the sides is 5, the scale factor between the surface areas will be 5^2 = 25.
For volume:
The volume of a shape is determined by the cube of its linear dimensions. Hence, the scale factor for the volume will be k^3. Given that the scale factor between the sides is 5, the scale factor between the volumes will be 5^3 = 125.
Therefore, if the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.
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Please help. Thank you!
Answers
Answer:
25 sin 42 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite/ hypotenuse
sin 42 = x / 25
Multiply each side by 25
25 sin 42 = x/25 *25
25 sin 42 =x
Answer:
A
Step-by-step explanation:
prove that a linearly independent system of vectors v1, v2, . . . , vn in a vector space v is a basis if and only if n = dim v .
Answers
A linearly independent system of vectors v1, v2, ..., vn in a vector space v is a basis if and only if the number of vectors, n, is equal to the dimension of v.
To prove that a linearly independent system of vectors v1, v2, ..., vn in a vector space v is a basis if and only if n = dim v, we need to show both directions of the statement.
If the system of vectors is a basis, then n = dim v:
Suppose the system of vectors v1, v2, ..., vn is a basis for the vector space v.
By definition, a basis spans the entire vector space, which means every vector in v can be written as a linear combination of v1, v2, ..., vn.
Since the system is a basis, it must also be linearly independent, which implies that no vector in the system can be expressed as a linear combination of the other vectors.
Thus, the number of vectors in the system, n, is equal to the dimension of the vector space v, denoted as dim v.
If n = dim v, then the system of vectors is a basis:
Suppose n = dim v, where n is the number of vectors in the system and dim v is the dimension of the vector space v.
Since dim v is defined as the maximum number of linearly independent vectors that can form a basis for v, we know that any system of n linearly independent vectors in v will be a basis for v.
Therefore, the system of vectors v1, v2, ..., vn is a basis for the vector space v.
Combining both directions of the proof establishes that a linearly independent system of vectors v1, v2, ..., vn in a vector space v is a basis if and only if n = dim v.
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3. Suppose that P and Q are statements for which P + Q is false. What conclusion (if any) can be made about the truth value of each of the following statements? (a) ¬P → Q
(b) Q → P c) P V Q
Answers
The truth value of each statement is given below:
(a) ¬P → Q: We know that P + Q is false, so at least one of P or Q must be false. If P is true, then Q must be false, since otherwise P + Q would be true. Therefore, ¬P would be false, making ¬P → Q true (since a false premise implies any conclusion). If P is false, then ¬P is true, and we know nothing about the truth value of Q. So ¬P → Q could be either true or false. Therefore, no conclusion can be made about the truth value of ¬P → Q.
(b) Q → P: If Q is true, then P must be false (since otherwise P + Q would be true). If Q is false, then we know nothing about the truth value of P. So Q → P could be either true or false. Therefore, no conclusion can be made about the truth value of Q → P.
(c) P V Q: Since P + Q is false, we know that at least one of P or Q must be false. Therefore, P V Q must be false as well (since it would only be true if at least one of P or Q were true). So we can conclude that P V Q is false.
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An 8-ounce cup of gourmet coffee costs $4.50. What is the unit price (cost per ounce) of the coffee?
Answers
Answer:
the unit price is about 56 cents an ounce.
Step-by-step explanation:
CD has coordinates C(-1,9) and D(-7,1). If EF is parallel to CD, what is the slope of EF
Answers
Answer: The slope of segment EF is -3/4
Step-by-step explanation:
-_-
Pls help I don’t get this
Answers
Answer:
Answer is A
Step-by-step explanation:
They start at -10 and if you add 10 you get 0. You increase
1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
Answers
First you will get 4dz
Michael deposits 1500.00 into a savings account with an annual interest rate of 2% how much money with he have in 4 years if no additional withdrawals or deposits are made its not 120.00
Answers
What is (2x^2+2x-6) times (x-4)?
Answers
Answer:
2x^3-6x^2-14x+24
Step-by-step explanation:
In a lab experiment, a population of 400 bacteria is able to triple every hour. Which equation matches the number of bacteria in the population after 3 hours?
Answers
Answer:
400(3)^3
Step-by-step explanation:
It tripled for 3 hours which is 3^3 and there's 400 bacteria
PLEASE HELP!!!!!!!
The pentagon on the left is a reflection of the pentagon on the right.
The pentagon is reflected over line ______?
Answers
Answer:
A
Step-by-step explanation:
If you reflect over line A both pentagons are equally spaced in proportion to the line
On Monday morning, Tyler deposited $345 into his checking account. Later that day he used his bank card to make a $398
purchase. Which expression can Tyler use to show the change in his bank account on Monday?
Answers
Answer:
x+345-398
Step-by-step explanation:
x+345-398
=x-53
where x is the amount of money he previously had on his account
This is the 100% daily value of added sugar in a 2,000 calorie diet 10%kcal 28 g 2300mg 50 g
Answers
Answer:
28 g. ................
20 points please hurry
Ruby is visiting San Francisco. From her hotel she walks 1 block east and 2 blocks south to a coffee shop. Then she walks 2 blocks west and 3 blocks south to a
museum. Where is the museum in relation to her hotel?
The museum is block(s) and block(s) of her hotel.
Answers
Answer:
5 blocks south and 1 block west ( I think that's right sorry if its wrong I'm heading off to bed)
SSS,SAS, or none? congruent triangles
Answers
Two lines are guaranteed to be coplanar if they?
Answers
Answer:
If they lie in the same plane
write a positive or negative integer that represents the situation. the temperature is 31 degrees above zero.
Answers
The integer that represents the given situation is a positive 31.
The temperature being 31 degrees above zero means that it is warmer than the freezing point of water. In this context, "above zero" refers to the Celsius or Fahrenheit scale, where zero represents the freezing point of water. Therefore, a temperature of 31 degrees above zero is a positive value indicating a warm temperature.
In this case, it can be assumed that the temperature is being measured in Celsius since 31 degrees above zero on the Fahrenheit scale would correspond to a very high temperature of approximately 87 degrees Fahrenheit. Overall, the integer that represents this situation is positive 31, which signifies a warm temperature above the freezing point.
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Find A. Round to the nearest tenth:
Answers
Answer:
24.0
SinA = sinB
a b
Sin150 = Sin12
a 10
cross multiplication:
Sin(150) x 10
Sin(12)
5
sin 12 = 24.0
I hope I got it correct
Answer:
Step-by-step explanation:
\(\frac{10}{sn12}\) = \(\frac{a}{sin150}\)
a = \(\frac{10sin150}{sin12}\) ≈ 24.0