The height of the pole is 18.18 feet
Given data ,
Elka uses similar triangles to find the height of the pole. The situation forms two similar right triangles: one with the pole and the mirror, and another with Elka's eyes and the mirror.
Let's denote the height of the pole as "h" feet.
Distance from the base of the pole to the mirror = 20 feet
Distance Elka moves back away from the mirror = 5.5 feet
Height of Elka's eyes above the ground = 5 feet
Using the concept of similar triangles, we can set up the following proportion:
h / 20 = 5 / 5.5
Multiply by 20 on both sides , we get
h = 100 / 5.5
h = 18.18 feet
Hence , the height of the flagpole is approximately 18.18 feet
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PLEASE I NEED HELP ON THIS QUESTION
Answer:
A: -1 B: 2 C: -4 1/2
Step-by-step explanation:
answer this math question
The table in this problem is completed as follows:
8 pints for 1 gallon.40 pints for 5 gallons.64 pints for 8 gallons.What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
The constant for the relationship is:
k = 16/2
k = 8.
Hence the equation is:
y = 8x.
In which:
x is the number of gallons.y is the number of pints.Then the numeric values are:
x = 1, y = 8 x 1 = 8.x = 5, y = 8 x 5 = 40.x = 8, y = 8 x 8 = 64.More can be learned about proportional relationships at https://brainly.com/question/7723640
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For a confidence level of 99% with a sample size of 19, find the critical t value.
Greta's neighborhood is having a picnic to celebrate the end of the school year. She has been
asked to prepare potato salad. Greta actually has to work at 2pm when the picnic is scheduled, so
she asks Lynn, the neighbor coordinating food, if she can drop off the potato salad at the park
when she goes into work at 10am. Lynn is not sure this will work. Describe why Lynn is hesitant
and what might happen if Greta's potato salad sits out in the sun until the picnic begins at 2pm.
Then offer at least one suggestion to solve Greta and Lynn's problem.
Answer:
Step-by-step explanation:
they do not have enough time
Step-by-step explanation:
they do not have enough time
K In a poll of 514 human resource professionals, 45.5% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below. a. Among the 514 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags? 234 (Round to the nearest integer as needed.) b. Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags.
234 of them said that body piercings and tattoos were big personal grooming red flags and the 99% confidence interval is 0.412 to 0.498.
a) Among the 514 human resource professionals who were surveyed, the number who said that body piercings and tattoos were big personal grooming red flags is:
45.5% of 514 = 0.455 × 514 ≈ 234
Rounding to the nearest integer, we get 234.
b) To construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags, we can use the following formula:
CI = p ± z√(p(1-p)/n)
where p is the sample proportion, n is the sample size, z is the critical value from the standard normal distribution corresponding to the desired confidence level (99% in this case), and √(p(1-p)/n) is the standard error of the proportion.
Substituting the values from the given information, we have:
p = 0.455
n = 514
z = 2.576 (from standard normal distribution table)
Using these values, we can calculate the confidence interval:
CI = 0.455 ± 2.576√(0.455(1-0.455)/514)
≈ 0.412 to 0.498
Therefore, we can be 99% confident that the true proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags lies between 0.412 and 0.498.
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Some states now allow online gambling. As a marketing manager for a casino, you need to determine the percentage of adults in those states who gamble online. How many adults must you survey in order to be 99% confident that your estimate is in error by no more than three percentage points? Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of adults who gamble online. n= (Round up to the nearest integer.)
The sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%
We have,
It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
MOE =Z_{score} * s/√n
Where Z_{score} is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
MOE = 2% = 0.02 and
α = 1-0.95 = 0.05
Let's assume the value of p = 0.5, and q = 0.5
From the table:
Z_(0.05/2)
= Z_(0.025)
= 1.96
n = 2401
For part (b):
p = 18% = 0.18, and q = 0.82
so, we get,
n = 1417.5 = 1417
Thus, the sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%
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Amy works in a bakery that bakes all types of breads. She sells a loaf of yeast bread for five dollars and a loaf of brown bread for two dollars. She needs to sell over 100 loaves of bread and make at least $350.
If x represents the loaves of bread sold, and y represents the loaves of yeast bread sold, which of the following graphs represent the situation above?
The equations that represent both scenarios are x + y > 100 and 2x + 5y ≥ 350
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
Let x represents the loaves of bread sold, and y represents the loaves of yeast bread sold.
She needs to sell over 100 loaves of bread, hence:
x + y > 100
Also, she needs to make at least $350, hence:
2x + 5y ≥ 350
Plotting both equations gives the graph attached.
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Need help will give brainliest and 5 stars!
For this graph, for each vertical asymptote, write down the two limits that describe the graph of the function near the asymptote.
The limits on the vertical asymptotes of the function are given as follows:
[tex]\lim_{x \rightarrow -6^{-}} f(x) = \infty[/tex][tex]\lim_{x \rightarrow -6^{+}} f(x) = -\infty[/tex][tex]\lim_{x \rightarrow -2^{-}} f(x) = \infty[/tex][tex]\lim_{x \rightarrow -2^{+}} f(x) = -\infty[/tex][tex]\lim_{x \rightarrow 6^{-}} f(x) = -\infty[/tex][tex]\lim_{x \rightarrow 6^{+}} f(x) = \infty[/tex]What are the vertical asymptotes of a function?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
On a graph, at the vertical asymptotes, the graph just approaches the point, it does not cross the point.
Hence the vertical asymptotes are given as follows:
x = -6, x = -2 and x = 2.
We must observe the limits to the left(denoted by the - sign) and to the right (denoted by the + sign) of each asymptote.
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ng
he
34. The dimensions of Dawn's porch are shown.
Dawn's Porch
6 feet
A
B
6 feet
A. 32
2 feet
11 feet
What is the area, in square feet, of Dawn's porch?
B. 42
2 feet
C. 46
D. 50
Answer:
[tex]the \: answer \: for \: the \: question \: is \: 50[/tex]
Find the value of x. Assume that segments that appear to be tangent are tangent.
x =
(50 POINTs will give BRAINIEST FOR EFFORT)
Answer:
x = 28.27 units-------------------------
Tangent line is perpendicular to radius at the point of tangency.
It means the given is a right triangle.
Use Pythagorean theorem to find the missing side length.
One of legs is x, second leg is 15 units and the hypotenuse is the sum of 17 units and radius.
x² + 15² = (17 + 15)²x² + 225 = 1024x² = 1024 - 225x² = 799x = √799x = 28.27 units (rounded to the nearest hundredths)Question 6(Multiple Choice Worth 1 points)
(05.03 MC)
Solve the system of equations using elimination.
-2x + 3y = 13
x + y = 11
(-5, 1)
(-3, 3)
(3,8)
(4,7)
(4,7 ) are solution of linear equations .
What is a linear equation in mathematics?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
Solve the system of equations using elimination.
-2x + 3y = 13
x + y = 11
Multiply by 2
-2x + 3y = 13
2x + 2y = 22
5y = 35
y = 7
put in equation
x + y = 11
x = 11 - 7 = 4
so (x,y) = (4,7 )
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A new apartment complex with 90 one bedroom apartment units and 100 two bedrooms apartment units was built near a lake. Rental prices that will provide full occupancy are estimated as $1200 for one bedroom unit and $1800 for two bedrooms unit. A market survey suggests that for every $20 increase in price of one bedroom unit one less customer will sign a lease and for every $60 increase in price of two bedrooms unit two less customers will sign a lease. What rental price should the manager charge to maximize revenue?
Rental Price for One bedroom ____
Rental Price for Two bedroom ____
The manager should charge $1200 for one bedroom unit and $1800 for two bedroom unit to maximize revenue.
To maximize revenue, the manager should charge the prices that will provide full occupancy. According to the market survey, for every $20 increase in price of one bedroom unit, one less customer will sign a lease.
Therefore, the manager should charge $1200 for one bedroom unit to maximize occupancy. Similarly, for every $60 increase in price of two bedrooms unit, two less customers will sign a lease.
Therefore, the manager should charge $1800 for two bedroom unit to maximize occupancy.
Therefore, the optimal rental price to maximize revenue is $1200 for one bedroom unit and $1800 for two bedroom unit.
Therefore, the manager should charge $1200 for one bedroom unit and $1800 for two bedroom unit to maximize revenue.
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Given f(x)=3x^2−5 and g(x)=6x+1, what is the value of (g∘f)(2)?
Enter your answer, in simplest form, in the box.
If f(x)=3x²−5 and g(x)=6x+1, then the value of (g∘f)(2) = 43.
What is function?
A connection or statement involving one or more variables is called a function. A set of inputs and outputs are present.
First, we need to find f(2):
f(2) = 3(2)² - 5
f(2) = 3(4) - 5
f(2) = 7
Now we need to apply g to f(2):
g(f(2)) = g(7) = 6(7) + 1 = 43
Therefore, (g∘f)(2) = 43.
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Which of the following rational functions is graphed below?
Answer:
The vertical asymptote is at x = -3, and the horizontal asymptote is at y = 1, so the correct answer is C.
A full waterbed mattress is 6 ft by 5 ft by 2 ft. The mattress is to be filled with water that weighs 62.4 lb/ft^3. Find the weight of the water in the mattress to the nearest pound.
The waterbed mattress contains approximately ___ lb of water
The waterbed mattress contains approximately 3,744 lb of water.
How to calculate the weight of the water in the mattress?To calculate the weight of the water in the mattress, the volume of the mattress is first calculated using the given formula below:
The measurement of the waterbed mattress = 6ft by 5 ft by 2 ft
The volume of the waterbed = Length× width × height
That is = 6×5×2 = 60ft³
If 62.4 lb = 1 ft³
X lb = 60 ft³
Make X the subject of formula;
X = 60× 62.4 = 3,744lb
Therefore, the weight of water that the mattress will contain would be= 3,744lb
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Hudson measure the volume of a sink basin by modeling it as a hemisphere. Hudson measures its circumference to be 91 3/4 inches. Find the sink's volume in cubic inches.
Round your answer to the nearest tenth if necessary.
Rounding to the nearest tenth, the sink's volume is approximately [tex]6328.2[/tex] cubic inches.
What is the Hudson measures?The circumference of a hemisphere is represented by the formula:
[tex]C = 2 \pi r[/tex]
here C is the circumference and r is the radius of the hemisphere.
it is given that the circumference C as [tex]91 3/4[/tex] inches. now convert into a decimal
[tex]91 3/4 inches = 91.75 inches[/tex]
we are having
[tex]91.75[/tex] inches [tex]= 2πr[/tex]
Solving for r, we get:
[tex]r = 91.75 / (2\pi) \approx 14.599[/tex] inches (rounded to three decimal places)
The volume of a hemisphere is represented by formula
[tex]V = (2/3)\pir^3[/tex]
Substituting our value of r, we get:
[tex]V = (2/3)\pi(14.599)^3 \approx 6328.2[/tex] cubic inches
Therefore, rounding to the nearest tenth, the sink's volume is approximately [tex]6328.2[/tex] cubic inches.
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PLEASE HELP I JUST HELP i dont know how to answer this please asap
Answer:
see picture
Step-by-step explanation:
found an answer by someone else on brainly
link to explanation: https://brainly.com/question/15188850
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answer:
A. [tex]n=100[/tex]
B. [tex]k=0[/tex]
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
Eli decides to estimate the volume of a coffee cup by modeling it as a right cylinder.
Eli measures its circumference as 18.3 cm and its volume as 221 cubic centimeters.
Find the height of the cup in centimeters. Round your answer to the nearest tenth if
necessary.
the height of the cup is approximately 6.2 centimeters. Rounded to the nearest tenth, this is 6.2 centimeters.
what is Rounded to the nearest tenth ?
Rounded to the nearest tenth means to round a number to the nearest value that has one decimal place. To do this, we look at the digit in the second decimal place (the tenths place) and round up or down depending on whether that digit is greater than or less than 5.
In the given question,
We know that the volume (V) of a right cylinder is given by the formula:
V = πr²h
where r is the radius of the cylinder and h is its height.
We also know that the circumference (C) of a right cylinder is related to its radius (r) by the formula:
C = 2πr
From the given information, we can use the circumference to find the radius of the cylinder:
C = 2πr
18.3 = 2πr
r = 18.3 / (2π) ≈ 2.91
Now we can use the radius and the volume to find the height of the cylinder:
V = πr²h
221 = π(2.91)²h
h = 221 / (π(2.91)²) ≈ 6.2
Therefore, the height of the cup is approximately 6.2 centimeters. Rounded to the nearest tenth, this is 6.2 centimeters.
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Jenna threw a disc 18 yards to Karl, who threw it 11 yards in the same direction to Alice.
Start at 0 on the number line and move _____ to the right to represent Jenna throwing the disc to Karl.
Then move ______ to the right to represent Karl throwing the disc to Alice the result shows that.
In total the disc thrown 29 yards.
Start at 0 on the number line and move 18 yards to the right to represent Jenna throwing the disc to Karl.
Then move 11 yards to the right to represent Karl throwing the disc to Alice.
The result shows that Jenna threw the disc 29 yards (18 + 11) in the same direction to Alice.
Therefore, in total the disc thrown 29 yards.
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help me solve this
Answer: ∠BEA
Step-by-step explanation:
Congruent: Same Angle Measure
Starting: ∠BHK
Congruent Angle: ∠BEA
Question 1 of 10
All else being equal, a study with which margin of error would give you the
most confidence in the results?
OA. ±20 percentage points
OB. +5 percentage points
O C. 15 percentage points
D. ±10 percentage points
Answer:
±5 percentage points
Step-by-step explanation:
i can't really understand what was equal, because there isn't data about it.
But in case you really don't know it, the lower the margin of error of something is, the more confident you are it is correct, because the lower the error is, the more accurate it is to the theoretical result, so in this case it is ±5.
Evaluate pqr - s2t, if p = -2, q = 5, r = -7, s = 0, and t = 4.
I need help fast!!
The answer of the given expression is 70.
What is the meaning of Evaluation?Evaluation refers to the process of assessing, examining, or appraising something to determine its worth, effectiveness, or quality. It involves the systematic and objective assessment of various aspects or criteria to form an informed judgment or opinion.
What is known by expression?An expression refers to a combination of numbers, symbols, and mathematical operations that represents a mathematical computation or relationship. It can be as simple as a single number or variable, or it can be more complex involving multiple terms, operations, and functions.
we have to find pqr-s2t:
if p=-2, q=5, r=-7, s=0, t=4
putting values in the expression we get
-2×5×(-7)-0×2×4= 70
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Kylie, a youth leader at a summer camp, is making clear slime for an activity with the kids. She is placing the slime in 2-ounce plastic containers with lids. If Kylie can mix up the slime and fill 75 containers in 50 minutes, how long will it take her to make the slime and fill up 450 of the 2-ounce plastic containers??
A. 6 hours
B. 5 hours
C. 4 hours
D. 9 hours
Answer: B
Step-by-step explanation:
First, you want to find out how many ounces of slime she filled per minute. So 75 containers that are 2 ounces each, 75 x 2 equals to 150 ounces. We know that she has filled 150 ounces in 50 minutes, so we'll divide this to figure out how many ounces she fills per minute. So 150 divided by 50 equals to 3 ounces filled per minute. Now we want to figure out how many ounces she would need to fill up the 450 containers. We'll multiply 450 by 2, which gives 900 ounces. We want to divide 900 ounces by 3 ounces per minute, in order to know how much time it would take to fill it up, which is 300 minutes. Because the answers are in hours, we'll divide 300 by 60 (total number of minutes in 1 hour) and the answer we get is 5. Therefore, it will take Kylie 5 hours to fill up 450 of the 2-ounce plastic containers.
To put it into numbers:
75 x 2 = 150
150 ÷ 50 = 3
450 x 2 = 900
900 ÷ 3 = 300
300 ÷ 60 = 5
(You could also use the total amounts in order to get the answer for this question. We know that it takes 50 minutes to fill 75 containers, so we divide 450 by 75. In turn, we get 6, now we multiply 50 minutes by 6 which still gives us 300 minutes. Divide 300 minutes by 6 and again we get 5 hours.)
In all honesty, this question first confused me when I read it. For example, are we taking into account the time she used to mix the slime into the 50 minutes? However, I thought that something is better than no answer at all, so I tried to work out an answer that was included in the options given (A, B, C, D). But I cannot say with 100% certainty that this may be the correct answer. It's your choice whether you want to use this explanation for your problem, so I sincerely hope that this helped you out.
write 0.08 as a percentage.
Answer:
8%
Step-by-step explanation:
18 students each collected the same number of Cans for a project. If the students collected a total of 306 cans, how many cans did each student Collect?
Using division operation, the number of cans collected by each of the 18 students is 17.
What is division operation?Division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.
Division operation involves the dividend (the number being divided), the divisor (the number dividing the dividend), and the product called the quotient.
The total number of students engaged in the can collection project = 18
The total number of cans collected = 306
The number of cans collected by each, if each collected the same quantity = 17 (306 ÷ 18)
Thus, based on a division operation, the number of cans each student collected is 17.
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I just want the answers, I’ve been on the same lesson since Thursday and no teacher from my school will help ♀️
The standard form of the equation, based on the foci and co - vertices would x ² / 250 + y ² / 25 = 1 .
How to write the standard form ?The foci and co-vertices must be known to compose the equation of an ellipse, which requires determining a, b, and c values. The major axis, minor axis and distance between the center and foci are related to these variables.
Their connection can be symbolized as follows: a for major axis, b for minor axis, and c for the length of the distance between the center and foci:
a ² = b ² + c ²
a ² = 5 ² + 15 ²
a ² = 25 + 225
a ² = 250
a = √ 250
The standard equation would be:
x ² / a ² + y ² / b ² = 1
x ² / 250 + y ² / 25 = 1
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If x = 5 and y = -6 find the value of 3(x - y) + xy
Answer:
The value of the given equation is 3.
Step-by-step explanation:
QUESTION :If :
x = 5 y = -6Find the value of 3(x - y) + xy
SOLUTION :[tex] \longrightarrow{\sf{3(x - y) + xy}}[/tex]
Substituting the given values in the equation :
[tex] \longrightarrow{\sf{3 \bigg(5 - (-6) \bigg) + 5 \times - 6}}[/tex]
[tex] \longrightarrow{\sf{3 \bigg( 5 + 6 \bigg) - 30}}[/tex]
[tex] \longrightarrow{\sf{3 \bigg( 11 \bigg) - 30}}[/tex]
[tex] \longrightarrow{\sf{ 33 - 30}}[/tex]
[tex]\longrightarrow{\sf{\underline{\underline{ 3}}}}[/tex]
Hence, the value of the given equation is 3.
————————————————draw a net for making a rectangular prism 5cm by 3cm by 1cm
Here is a net for making a rectangular prism with dimensions of 5 cm by 3 cm by 1 cm:
________
/ / |
/ / |
/_______ / |
| | |
| | |
| | |
| | /
| | /
|________|
The above net consists of six rectangles, where the first rectangle represents the base of the prism with dimensions of 5 cm by 3 cm, and the remaining five rectangles represent the sides of the prism.
What is a rectangular prism?A rectangular prism, also known as a rectangular cuboid, is a three-dimensional geometric shape that has six rectangular faces, where each face meets at right angles with its adjacent faces.
It is common in everyday objects such as boxes, books, and bricks, and they are used in various applications in mathematics, physics, engineering, etc.
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Does anyone have the answer for this?
Answer:
m<CAD=m<CBD - alternate interior angles
Step-by-step explanation:
I'm not sure what the question wants you to put, but the way to solve this question would be to prove the angles are congruent, and then use CPCTC (corresponding parts of congruent triangles are congruent) to prove that BD= CA. I hope this helped!