PLEASE ANSWER ASAP WILL GIVE brainiest TO THE FIRST CORRECT ANSWER
You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.
Answers
The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.
Therefore, the hypotenuse side is the bridge length.
c² = a² + b²
where
c = hypotenusea and b are the other legsHence,
c² = 1170² + 520²
c² = 1368900 + 270400
c = √1639300
c = 1280.35151423
The bridge is the prefered option when the cost is within $1500. Therefore,
cost of the bridge = 11 × 1280.35151423 = $14083.87
Therefore, the bridge is not the prefered option
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Related Questions
Three boxes are stacked one on top of the other. One box is 6 feet 6 inches tall, one is 4 feet 11 inches tall, and one is 5 feet 8 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches.
Answers
Heyo xD! Its easy since we have been asked to find out the total height of the stack which will be equal to the sum of height of each box. Thus, we can easily add them up and get our answer.
Given :-
Box 1 = 6 ft. 6 inches Box 2 = 4 ft. 11 inchesBox 3 = 5 ft. 8 inchesTo Find :-
The height of the stackSolution :-
Height of the stack,
=> 6 ft. 6 inches + 4 ft. 11 inches + 5 ft. 8 inches
=> 15 ft. 15 inches
And we know that 12 inches = 1 ft.
Thus, 15 inches = 1 ft. 3 inches
Thus,
=> 15ft. + 1 ft. 3 inches
=> 16 ft. 3 inches
Thus, the height of the stack is 16 ft. 3 inches.
Answer:
17 feet and 1 inch
Step-by-step explanation:
6 feet and 6 inches + 4 feet and 11 inches equals 10 feet and 17 inches.
10 feet and 17 inches + 5 feet and 8 inches equals 15 feet and 25 inches.
When converted the answer is 17 feet and 1 inch. This is so because 25 divided by 12 equals 2 remainder 1 . 2 feet plus 15 feet equals 17 feet and the remainder is 1 which is 1 inch.
So, the answer is 17 feet and 1 inch.
3,5,6 please help me with these
Answers
Answer:
you cant do these they are 3rd and 4th questions
Step-by-step explanation:
Answer:
You can find the answers by dividing the numbers
Step-by-step explanation:
Hmu if u still need help :)
These are so hard I’m not sure how to do them :((
Answers
Answer:
8 out of 52
or
4 out of 26
Step-by-step explanation:
So you have a 52 deck of cards there are:
Number 6 cards = 4
Number 10 cards = 4
there is a 8 out of 52 chance of you pulling a 6 or 10 card
or (simplify)
4 out of 26 chance
~Denki Kaminari here~
here, this may help you on how to solve probability:
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%
The best example for understanding probability is flipping a coin: There are two possible outcomes—heads or tails.
What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.You might intuitively know that the likelihood is half/half, or 50%. But how do we work that out? Probability = one chance that it we can calculate/ one chance on pure probability
Formula for calculating the probability of certain outcomes for an event
Formula for calculating the probability of certain outcomes for an event
In this case:
Probability of a coin landing on heads
Probability of a coin landing on tails
Probability of an event = (# of ways it can happen) / (total number of outcomes)
P(A) = (# of ways A can happen) / (Total number of outcomes)hope this helps :D
can someone solve this
Answers
Answer:
check the image for solution
Step-by-step explanation:
Trudie is playing a game with identical-sized colored sticks. She has a container with a total of 10 red, 12 green, 19 blue, and 9 yellow sticks.
If Trudie picks a stick without looking, what is the probability the stick will be green?
A 12%
B 24%
C 76%
D 88%
Answers
Answer:
B. 24%
Step-by-step explanation:
Filling the character requirement lol
Answer:
b
Step-by-step explanation:
it gies in and out the equation
6. The angles of triangle ABC measure 30 degrees, 40 degrees, and 110 degrees. Will
its circumcenter fall inside the triangle, on the triangle, or outside the
triangle? Explain your reasoning.
Answers
Answer: Outside the triangle
Step-by-step explanation:
Because one of the angles has a measure greater than 90 degrees, we know that the triangle must be obtuse. Therefore, the circumcenter must fall outside the triangle because in an obtuse triangle, the circumcenter is always located outside of the triangle.
why does a week have seven days
Answers
Hi!the week has seven days because the Babylonians, who lived in modern-day Iraq, were astute observers and interpreters of the heavens, and it is largely thanks to them that our weeks are seven days long. The reason they adopted the number seven was that they observed seven celestial bodies — the Sun, the Moon, Mercury, Venus, Mars, Jupiter and Saturn.
the main reason is :
Avid astronomers and astrologers, the developed a kind of horoscope around 500 where each day of the week was assigned to one of the classical planets – the seven celestial bodies visible to the eye. These are the Sun, the Moon, Mars, Mercury, Jupiter, Venus, and saturn
What is the slope of
the line?
[?]
[]
Give your answer as
a fraction in simplest
form.
Answers
Answer:
slope = 3/2
Step-by-step explanation:
we rise 3 and run 2 which gives us y=3/2x
What is the equation of the line that passes through the point(6,-2) And has an undefined slope
Answers
Answer:
X=6
Step-by-step explanation:
A cube has a volume of (0.75xy)3 cubic centimeters.
What is the volume of the cube expressed as a fraction?
Answers
Answer:
[tex]\frac{27}{64} x^{3} y^{3} cm^{3}[/tex]
Step-by-step explanation:
0.75 means 75/100 which is equal to 3/4.
Cube of 3/4 is [tex]\frac{3^{3} }{4^{3} }[/tex]= 27/64
x cube means x will be multiplied with itself thrice, which is [tex]x^{3}[/tex]and following the same logic, y cube means y will be multiplied with itself three times which is [tex]y^{3}[/tex]. The unit [tex]cm^{3}[/tex]at the last is very important, because, without it, the value does not show that this value is used to represent a volume so we write the units after writing the value.
if 1/5 of 100 oranges is given to Ade and 1/4 of the remaining orange is given to Hardy what fraction of the orange is left
Answers
Answer:
3/5
Step-by-step explanation:
5/5 - 1/5 = 4/5
4/5 × 4/4 = 16/20
16/20 - 4/20 (1/4) = 12/20
12/20=3/5
I think this is right
The remaining fraction of oranges left is A = 3/5 of the total oranges
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the remaining fraction of oranges be A
And , if 1/5 of 100 oranges is given to Ade, then Ade gets:
1/5 * 100 = 20 oranges
The remaining oranges are:
100 - 20 = 80 oranges
Now , if 1/4 of the remaining oranges is given to Hardy, then Hardy gets:
1/4 * 80 = 20 oranges
So the total number of oranges given away is:
20 (Ade) + 20 (Hardy) = 40 oranges
The fraction of the oranges that is left is:
(100 - 40) / 100 = 60 / 100 = 3/5
Hence , 3/5 of the oranges are left
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A biologist is studying the exponential growth of a colony of bacterial cells. The table gives the
number of cells, y, in the colony over time, x, in hours.
Time, x (hours)
0
Number of Cells, y
100
1
200
N
400
h
6,400
Replace the values of A, b, x, and y to write an exponential equation that represents the number of
cells present at h hours.
Answers
The exponential function that represents the number of cells present at x hours is y = 100(2)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Let y represent the number of cells after x hours.
From the table, at point (0, 100):
100 = ab⁰
a = 100
At point (1, 200):
200 = 100b
b = 2
The exponential function is y = 100(2)ˣ
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Answer:
100(2)^h=6,400
Step-by-step explanation:
Explanation:
For an equation in the form A(b)^x=y, A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100.
Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2. So the growth rate, or b, is 2.
The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is .100(2)^h=6,400
Please help me, I don't understand this-
Ms. Martin's new truck weighs 2 tons. 2 Which measurement is equivalent to the weight of her truck? F 2.500 pounds H 4,500 pounds G 6,000 pounds J 5,000 pounds
Answers
Answer:
i think its J 5,000 pounds
Step-by-step explanation:
What is the BEST evidence that the author would make a good sportswriter?
A) the poem's admiring attitude toward athletes
B) the fact that she has failed at almost every sport
C) the poem itself, which is a funny description of sports
D) the fact that she has loved sports since she was very young
Answers
Answer:
C
Step-by-step explanation:
The poem itself, which is a funny description of sports.
Answer: C) the peom itself which is funny description of sports.
Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.
PLEASE HELP ME!!!
Question 1 Part D (2 points): Which of the following is NOT an example of the closure property as it relates to polynomials?
A.
(x + 2)(2x - 1) = 2x² + 3x - 2
B.
(x³ - x² + 4) - (2x² + 5) = x³ - 3x² - 1
C.
(2x)(0) = 0
D.
(2x³ - x² - 5x + 4) + (x³ - 2x² + 1) = 3x³ - 3x² - 5x + 5
E.
None of the above because all are examples of the closure property as it relates to polynomials
Answers
None of the above because all are examples of the closure property as it relates to polynomials.
Closure property of the functionA function is known to be closed if its input value is equal to its output.
Accordng to the question, we need to select the function that obeys the law of closure.
To select the correct polynmials, we need to determine the function that has its left hand side equal to the right.
From the given options,we can see that all their right hand sides are equal to the left, hence we can conclude that "none of the above because all are examples of the closure property as it relates to polynomials"
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Gavyn, Pip and Mark share £102 in a ratio 1:2:3. How much money does each person get?
Answers
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio , 1 + 2 + 3 = 6 parts
divide the amount by 6 to find the value of one part of the ratio
£102 ÷ 6 = £17 ← value of 1 part of the ratio , then
2 parts = 2 × £17 = £34
3 parts = 3 × £17 = £51
Gavyn gets £17
Pip gets £34
Mark gets £51
G=£17
P=£34
M=£51
Anna took a job that paid $100 the first week she qaa guaranteed a raise of 5% each week how much money will she make in all over 8 weeks round the answer to the nearest cent
Answers
Answer:
140.71
Step-by-step explanation:
WEEK 1- 100
WEEK 2- 105
WEEK 3-110.25
WEEK 4-115.7625
WEEK 5-121.550625
WEEK 6-127.62815625
WEEK 7-134.009564063
WEEK 8-140.710042266
By using an exponential equation, we will see that in the first 8 weeks she makes $954.90.
How much will she make in 8 weeks?
We know that the first week she makes $100, and for each week after that, she makes an extra 5%.
Then, the second week she makes:
W(2) = $100*(1 + 5%/100%) = $100*(1.05)
The third week she makes:
W(3) = $100*(1.05)*(1 + 5%/100%) = $100*(1.05)^2
We already can see the exponential pattern, for the N-th week, the salary will be:
W(N) = $100*(1.05)^(N - 1)
Then what she wins in the first 8 weeks is:
W(1) = $100W(2) = $100*1.05 = $105W(3) = $100*(1.05)^2 = $110.25W(4) = $100*(1.05)^3 = $115.75W(5) = $100*(1.05)^4 = $121.55W(6) = $100*(1.05)^5 = $127.63W(7) = $100*(1.05)^6 = $134.01W(8) = $100*(1.05)^7 = $140.71Now we just need to add these 8 values, we will see that the total money that she makes in these 8 weeks is:
M = $954.90
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Put these numbers in order from greatest to least
-2/8
34/40
9/12
4
Answers
Answer:
4, 34/40, 9/12, -2/8
Step-by-step explanation:
Hope this helps!
Write the equation for the function graphed attached
f(x)=
Answers
Answer:
here
Step-by-step explanation:
Find the measure of each angle in the isosceles trapezoid.
Answers
Answer:
R = 98 degree
Q = 82 degree
T = 98 degree
Margin of error: 0.005 ; confidence level: 96%; p^ and q^ unknown
Answers
Using the z-distribution, it is found that the minimum sample size required is of 42,190.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 96% confidence level, hence[tex]\alpha = 0.96[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.96}{2} = 0.98[/tex], so the critical value is z = 2.054.
As for the other parameters, we have that M = 0.005 and [tex]\pi = 0.5[/tex], as there are no estimates of the proportion. Hence, we solve for n to find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.005 = 2.054\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.005\sqrt{n} = 2.054(0.5)[/tex]
[tex]\sqrt{n} = \frac{2.054(0.5)}{0.005}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.054(0.5)}{0.005}\right)^2[/tex]
[tex]n = 42189.16[/tex]
Rounding up, the minimum sample size required is of 42,190.
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Each month, Edward budgets $1860 for fixed expenses, $860 for living expenses
and $250 for annual expenses. His annual net income is $32,508.
Which statement best describes his monthly budget?
Answers
Answer:
His annual net income.
Step-by-step explanation:
Hope it helps.
A.
If you wrote the first letter of your name
(in upper-case) on a graph, would it be a
function? (yes/no)
Give the letter you are using to answer
the question.
(THE LETTER I WOULD BE USING IS J)
Answers
Answer:
Yes
J
Step-by-step explanation:
Placing a down payment on a home is a common practice among homebuyers and, in many cases, is required by the lender for eligibility reasons. As the Payans’ real estate agent suggested in part C, it’s also important to help keep the mortgage payment low and within the homebuyer’s monthly budget to avoid the risk of default. Write two to three sentences summarizing what might happen if the Payans were to default on their monthly mortgage payments.
Answers
Answer:
If the Payans were to default, their credit score could be lowered. The Payans could also lose their house. With both of those things on their record, it would make it harder for the Payans to qualify for another loan.
Hope this helps!
Find the value of xxx in the isosceles triangle shown below. Choose 1 answer: Choose 1 answer: (Choice A) A x = 20x=20x, equals, 20 (Choice B) B x = 7x=7x, equals, 7 (Choice C) C x=\sqrt{52}x= 52 x, equals, square root of, 52, end square root (Choice D) D x = \sqrt{40}x= 40 x, equals, square root of, 40, end square root
Answers
Answer:
look at pic
Step-by-step explanation:
In the given case, the value of "x" in the given isosceles triangle is 18 degrees.
The given triangle is an isosceles triangle, which means that it has two equal sides. Let's denote the length of each equal side as "x".
To find the value of "x", we need to use the properties of an isosceles triangle. In an isosceles triangle, the base angles (the angles opposite to the equal sides) are congruent (equal in measure).
Since the base angles are congruent, we can set up the following equation: 2x + 3x + 5x = 180 degrees
Combining like terms, we have: 10x = 180 degrees
To solve for "x", we divide both sides of the equation by 10: x = 18 degrees
Therefore, the value of "x" in the given isosceles triangle is 18 degrees.
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could someone help me super duper fast with factoring trinomials
my previous questions are worth 50 each by the way
Answers
Answer:
(3a+3b+1)(2a+2b+3)
Step-by-step explanation:
This is the farthest they could be factored
#1
6(a+b)²+11(a+b)+3Let a+b=x
6x²+11x+36x²+2x+9x+32x(3x+1)+3(3x+1)(2x+3)(3x+1)Put value
(2(a+b)+3)(3(a+b)+1)#2
8(x+1)²-14(x+1)+3Let x+1=y
8y²-14y+38y²-2y-12y+32y(4y-1)-3(4y-1)(2y-3)(4y-1)Put value
(2(x+1)-3)(4(x+1)-3)M is the midpoint of LN, LM = 2x + 10, and MN = 4x - 2, what is LM?
Answers
Answer:
LM=22
Step-by-step explanation:
Check out the attached photo
answer please hfghfg
Answers
Answer:
it is D 6 x 10,000+3x 1000+9 x100 +1 x10 +4 x1 +2 x0.1 +5 x0.01
Step-by-step explanation:
hope this helps pls makes as brainliest
Joseph wants to line his garden with a fence that cost $2.25 per foot. The length of the garden is 6 yards and the width is 2.5 yards. what is the total cost?
Answers
Answer:
$38.25
Step-by-step explanation:
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Given:
width = 2.5 ydlength = 6 yd⇒ perimeter = (2 x 2.5) + (2 x 6)
= 5 + 12
= 17 yd
Given:
cost of fence = $2.25 per foot⇒ total cost = 17 x 2.25
= $38.25
Perimeter:-
2(L+B)2(6+2.5)2(8.5)17ydToatl cost::
17(2.25)34+4.2538.25$Why is ten times ten?
Answers
Answer:
100
Step-by-step explanation:
10 · 10 = 100
Of course it all depends on what the symbols you’re using mean. Assuming the the * means “multiplied by,” the next question is “what is the meaning of the symbols 0 and 1,” but (conventionally) in any field, 0 denotes the additive identity and 1 the multiplicative identity. With those assumptions, the next question is “what is meant by the juxtaposition of those symbols?” Again, the commonly used convention is that, for any numeric field with base b, “10” would mean b, and 100 would be interpreted as b*b.
So, for example, if you’re working with a field where b*b = b (e.g., a modular arithmetic), then 10 and 10*10 would both be 1. On the other hand, if your field is, for example, the integers in base 10 (0, 1, …9), then the other answers would apply.
Bottom line: It all depends on what you assume. Without telling us that, it’s harder to answer your question. Note that the other replies to your question all make some (very commonly agreed upon) assumptions, e.g. that you were working in one of the commonly use, base 10, number fields (integers, real numbers, etc.) where ten sticks, each ten inches long, placed in a straight line, would form a line 100 inches long. (The modular field described above would break the sticks into one inch pieces, stack them on top of each other, and get a line one inch long.)
