Answers
Answer: The flagpole is about 22.3 feet tall.
This is roughly the size of a two story building, assuming each floor is 10 feet or so.
Since this height is under 25 ft, this flagpole is in compliance with the regulation.
=====================================================
Work Shown:
The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.
The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.
Use the tangent rule to connect the opposite and adjacent sides.
Solve for x.
tan(angle) = opposite/adjacent
tan(25) = (x-5.5)/36
36*tan(25) = x-5.5
x-5.5 = 36*tan(25)
x = 36*tan(25)+5.5
x = 22.28707569358
x = 22.3 ft is the approximate height of the flagpole
Make sure your calculator is in degree mode.
The height is not over 25 ft, so this flagpole meets the requirements.
Related Questions
Joshua has a bag of marbles. In the bag are 5 white marbles, 3 blue marbles, and 7 green marbles. Peter randomly draws one marble, sets it aside, and then randomly draws another marble. What is the approximate probability of Peter drawing out two green marbles
Answers
Answer:
1 / 5
Step-by-step explanation:
Given that:
Number of white marbles = 5
Number of blue marbles = 3
Number of green marbles = 7
Required is the approximate probability of drawing 2 green marbles, Note that drawing is done without replacement :
Probability = required outcome / Total possible outcomes
Total possible outcomes = sum of all marbles = (5 + 3 + 7) = 15 marbles
First draw:
P(Green) = 7 / 15
Second draw:
Required outcome = 7 - 1 = 6
Possible outcomes = 15 - 1 = 14
P(green) = 6 / 14
Probability of drawing out two green marbles :
(7/15 * 6/14) = 42 / 210 = 1 / 5
1
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3
4
5
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9
Which expression is equivalent to 5(w+4) when w=g?
O 5(9)
O 915)
05(9)+4
O 5(9) +20
Answers
Here is an expression: 4 ∙ 3ˢ Evaluate the expression when s is 1.
Help 25 points !!!!!!!!!!!
Answers
Answer:
1 -> 12s
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
plssss help due in 5 minutes
Answers
Answer:
-5 is the y intercept
Step-by-step explanation:
What is the answer, Please Help.
Answers
Answer:
r=144
Step-by-step explanation:
Cross multiply:
12 * 60 = r * 5
Simplifying
12 * 60 = r * 5
Multiply 12 * 60
720 = r * 5
Reorder the terms for easier multiplication:
720 = 5r
Solving
720 = 5r
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5r' to each side of the equation.
720 + -5r = 5r + -5r
Combine like terms: 5r + -5r = 0
720 + -5r = 0
Add '-720' to each side of the equation.
720 + -720 + -5r = 0 + -720
Combine like terms: 720 + -720 = 0
0 + -5r = 0 + -720
-5r = 0 + -720
Combine like terms: 0 + -720 = -720
-5r = -720
Divide each side by '-5'.
r = 144
Simplifying
r = 144
Answer:
r=144
Step-by-step explanation:
We need to find r. To do that me must make the top numbers the same.
We'll multiply
[tex] \frac{12}{r} \times \frac{5}{5 } = \frac{60}{5r} [/tex]
[tex] \frac{5}{60} \times \frac{12}{12} = \frac{60}{720} [/tex]
Since the top numbers are equal that means the bottoms are too.
So we can create the equation:
[tex]5r = 720[/tex]
Divide each side by 5
r=144
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
What is 86% of 950? *
Answers
Answer:86%of 950= 817
Step-by-step explanation:
Answer:
817
Step-by-step explanation:
Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO
Answers
Answer:
zeros of the function are −2 and 3
Step-by-step explanation:
there is no -2 so H.3
ASAP please help me I need this quick
The question and answers are in the picture
Answers
Answer:
25
Step-by-step explanation:
maybe this will help you
Answer:
C. 125 cm^3
Step-by-step explanation:
Hope this helps!! Brainliest please :)
2, 5, 8, 11, 14,... ... ... ....
a30
What’s the missing term
Answers
Answer:
17, 20, 23, 26, 29, 32,
Step-by-step explanation:
Answer:
17, 20, 23, 26, 29, 32, 35....
Step-by-step explanation:
cause that's how math was made
"don't have a good day, have a great day"
-Guy
What is the equation of the line through (2, -4) and (0, 4)?
OA. y= 4x- 4
O B. y= -4x- 4
Oc. y= -4x+ 4
OD.y= 4x+ 4
Answers
m = slope
m = (y2 - y1) / (x2 - x1)
2 points:
(2, -4) x1 = 2 and y1 = -4
(0, 4) x2 = 0 and y2 = 4
m = (4 - (-4)) / (0- 2)
m = 8 / -2
m = -4
Equation of the line is : y = mx + b
So we got...
y = -4x + b
Then we can use any of the two points given to solve for b. I’m going to use (0, 4).
y = -4x + b
4 = -4(0) + b
4 = 0 + b
4 = b
Therefore the equation of the line is
y = -4x + 4
Can someone please help me this is due in 2 mins?!?!?
Answers
Answer:
2
Step-by-step explanation:
the two sides are 3 and its equal to 8..its 2
Evaluate the given expression for x=-14. -3x-5
Answers
Answer:
The answer is: 37
Step-by-step explanation:
The reason its this answer because first thing you have to do is the order operations Please Excuse My Dear Aunt Sally, since there is no parenthesis, or exponents we cross those out. Since, there is multiply we put in -14 where is x.
-3x-5=-3(-14)=5
Next, we multiply -3 and -14 and we get:
42, there reason its not a negative because two negatives equal to a positive.
There is Division or Addition, those are out. The only thing that is left Subtraction... So we are going to subtract 42-5 which equals;
37
I hope my answer helps!!
What’s 9 times 9
Just gave you 100 for free your welcome
Answers
Answer:
81! THANK YOU<3333333333333
Answer: 81
Step-by-step explanation: 9 x 9 = 81 Obviously
30 POINTS PLEASE HELP
Answers
Answer:
y = 4x + 17
Step-by-step explanation:
y = mx + b given points: (-3,5) (-5,-3)
[tex]\frac{5+3}{-3+5}[/tex] = [tex]\frac{8}{2}[/tex] = 4
y = 4x + 17
a square and rectangle are shown below the width of the rectangle is the same length at a side of the square both represented by x the length of the rectangle is one foot more than twice its width the perimeter of the rectangle is 26 feet more than that of the square write an expression for the length of the rectangle in terms of x label of the drawing
Answers
Answer:
The answer for the length of the rectangle in terms of x is 2x+1=26
Step-by-step explanation:
Pls hurry I’m being timed
Answers
Answer:
I think the answer is A
Step-by-step explanation:
makes sense
Rob is setting up a model train track that is 3 and 3 over 8 feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 3 over 8 foot apart. How many telephone poles does he need? (Input number values only.
Answers
Answer:
9?
Step-by-step explanation:
Answer:
sorry dont understaand
Step-by-step explanation:
Four more than twenty-six time a number is equivalent to 12 times the same number less 15.
What is the number?
Answers
Answer:
n = -19/14
Step-by-step explanation:
Please transcribe this into a symbolic equation:
26n + 4 = 12n - 15
Then 14n = -19, or n = -19/14.
The ratio of employees who own a red car to employees who own a black car is
1:5. If there are 6 employees who own a red car, how many employees own a
black car? *
Answers
Answer:
There would be 30 black cars.
Since the ratio is 1:5
And we know that there are 6 red cars,
we basically just input it in our ratio
so it would look like 6:x
Now, we just have to plug in for x.
To do that, you have to multiply 6 by 5
To match the ratio.
So that would give us 6:30
And if we divide by 5 we should get our original ratio.
I know this seems confusing haha, but I hope you get it, it's not as hard as it looks !!
Question 5
5 pts
Let f(x)
40e^.06t. What is the average rate of change of f over the
interval [0,3]? Give your answer as a decimal with one place of
accuracy to the right of the decimal point.
Answers
Answer:
[tex]R= 2.6[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 40e^{.06t[/tex]
[tex][a,b] = [0,3][/tex]
Required
Determine the average rate of change (R)
This is calculated as follows:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a = 0[/tex] and [tex]b = 3[/tex]
Substitute 0 for a and 3 for b
[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]R = \frac{f(3) - f(0)}{3}[/tex]
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
Calculate f(3)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(3) = 40e^{.06*3}[/tex]
[tex]f(3) = 40e^{0.18}[/tex]
[tex]f(3) = 40 * 1.197[/tex]
[tex]f(3) = 47.88[/tex]
Calculate f(0)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(0) = 40e^{.06*0}[/tex]
[tex]f(0) = 40e^{0}[/tex]
[tex]f(0) = 40*1[/tex]
[tex]f(0) = 40[/tex]
So, the expression:
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
[tex]R= \frac{1}{3}[47.88 - 40][/tex]
[tex]R= \frac{1}{3}[7.88][/tex]
[tex]R= 2.62666666667[/tex]
[tex]R= 2.6[/tex]
Hence, the average rate of change is approximately 2.6
plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.
Answers
Answer:
A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.
Speed = distance / time
Distance = speed × time
Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be
4 × 63 = 252 kilometers.
if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be
Time = distance / speed
= 252/56 = 4.5 hours
The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.
Let speed = s and let time = t
s varies inversely with t
Introducing constant of inverse variation k, it becomes
s = k/t
When s = 56, t = 4.5
56 = k/4.5
k = 4.5 × 56 =252
This is the distance
Step-by-step explanation:
8y + 4y = 24 in function form some one please help 8th grade math
Answers
Answer:
y=2
Step-by-step explanation:
I think
it's been a while since I did functions
Answer:
the answer is y=2
Step-by-step explanation:
you add 8y+4y=12y
and then divide 12 on each side
which 24/12=2
I will give brainliest!!!!!! Please help
Answers
Answer:
F
Step-by-step explanation:
Find the slope of the line that passes through the points A(5,-1) and B
(3, -1).
Answers
Answer:
1/6
Step-by-step explanation:
Using the table below,which statement best describes whether or not the relationship identifies a function?
Answers
Answer: I'm pretty sure the correct answer is (B) Let me know if i'm correct!
Step-by-step explanation:
In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student
Answers
Answer:
P(A∩B) = 0.12
Step-by-step explanation:
Given:
Students receive financial aid P(A) = 40% = 0.4
Students receive financial aid and first generation P(B/A) = 30% = 0.3
Find:
Probability [Selected student receives financial aid and is first generation college student] P(A∩B)
Computation:
P(A∩B) = P(A) x P(B/A)
P(A∩B) = 0.4 x 0.3
P(A∩B) = 0.12
Chan Hee bought 9.8 pounds of coffee that cost $7.45 per pound. How much did he spend on coffee?
Answers
Write an expression that represents the area of
the figure in square centimeters.
HELP ASAP
Answers
Answer:
its either 98 cm or 28 cm
Step-by-step explanation:
7 x 7 = 49 x 2 = 98 cm
14 x 2 = 28
What is the coefficient in the following expression?
5a2 - 7
Answers
Answer:
5 is the coefficient
Step-by-step explanation:
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up?
Explain your answer using complete sentences.
Answers
Answer:
2 rows of 41
Step-by-step explanation:
....... i think
I have the same question, and I have nothing in my brain....-_-''
