Without the exact height of the Leaning Tower of Pisa, we cannot find the specific degree of tilt. However, given the height is approximately 183.27 ft, we can use the tangent function to roughly find that the tilt is near 4.22 degrees.
Explanation:The question involves the concept of trigonometry, specifically the tangent function, to calculate the angle of tilt of the Leaning Tower of Pisa. Assuming the tower forms a right triangle with the ground, we can utilize tangent, which is the ratio of the opposite side (the horizontal shift) to the adjacent side (the height of the tower) to determine the angle of tilt. Thus, the angle of tilt θ is calculated as θ = tan⁻¹(13.5/height). Unfortunately, without the exact height of the tower, we cannot give a specific degree of tilt.
However, the actual height of the tower is roughly 183.27 ft. Substituting that value into the equation gives θ = tan⁻¹(13.5/183.27), which approximates to around 4.22 degrees when calculated.
Learn more about Angle of Tilt here:https://brainly.com/question/15011457
#SPJ2
Using trigonometry and taking into account the horizontal shift and height of the Leaning Tower of Pisa, we found that it tilts around 4 degrees from vertical. The procedure entails determining the tangent of the tilt angle and using the arctan function to calculate the angle in degrees.
The problem involves finding the tilt angle of the Leaning Tower of Pisa given its horizontal displacement. We will consider the height of the tower, which is approximately 55 meters (about 180.45 feet).
We can use trigonometry, specifically the tangent function, tan(θ) = opposite/adjacent, to find the angle of tilt. Here, the 'opposite' side is the horizontal shift (13.5 feet) and the 'adjacent' side is the height of the tower (180.45 feet).
Identify the opposite and adjacent sides:
Horizontal shift (opposite) = 13.5 feetHeight of the tower (adjacent) = 180.45 feetUse the tan function to find the angle:
tan(θ) = opposite / adjacent = 13.5 / 180.45Calculate the tangent value:
tan(θ) ≈ 0.0748Find the angle θ using the arctan function:
θ = arctan(0.0748) ≈ 4.28 degreesRound to the nearest degree:
θ ≈ 4 degreesTherefore, the Leaning Tower of Pisa tilts approximately 4 degrees from vertical.
Based on statistics for the past several seasons, the probability that the best player on a basketball team makes a free throw is eight tenths . The probability that the second-best player makes a free throw is StartFraction 13 Over 20 EndFraction . If both players attempt 140 free throws over a season, how many more free throws is the best player expected to make?
Answer: The best player is expected to make
21 more free throw(s).
Step-by-step explanation:
1) Make a proportion
2) Find the unknowns
3) subtract the grater number from the smaller one
4) That's it.
Answer:
Type the answer that the other person gave and boom. a.k.a 21
Step-by-step explanation:
Based on statistics for the past several seasons, the probability that the best player on a basketball team makes a free throw is 8/10
. The probability that the second-best player makes a free throw is 13/20
. If both players attempt 140 free throws over a season, how many more free throws is the best player expected to make?
11 tenths = 1 one +
tenth(s)
Answer:
0.11=1/10
Step-by-step explanation:
11 tenths because in 10ths form and you put 1 and divide by 1 tenth
Answer:
1
Step-by-step explanation:
11/10=1.1
1.1-1=0.1=1/10
Find the value of x. correct answer please
Answer:
[tex] x = \sqrt{30} [/tex]
Step-by-step explanation:
By Geometric mean property:
[tex]BD = \sqrt{3 \times 7} \\ BD = \sqrt{21} \\ by \: pythagoras \: theorem \\ {x}^{2} = { (\sqrt{21}) }^{2} + {(3)}^{2} \\ {x}^{2} = 21 + 9 \\ {x}^{2} = 30 \\ x = \sqrt{30} [/tex]
The population of a city is 300,000 and the annual growth rate is 11%. Write an equation to model the population y after x years.
y=
Final answer:
The population of a city with an initial population of 300,000 and an 11% annual growth rate can be modeled by the exponential growth equation [tex]y = 300,000(1 + 0.11)^x,[/tex] where x represents the number of years.
Explanation:
To model the population growth of the city with an initial population of 300,000 and an annual growth rate of 11%, we use an exponential growth equation. This type of growth can be represented by the equation y = P(1 + r)^x, where P is the initial population, r is the growth rate in decimal form, and x is the number of years.
For this scenario, P = 300,000 and r = 0.11 (since 11% as a decimal is 0.11). Therefore, the equation to model the population, y, after x years is:[tex]y = 300,000(1 + 0.11)^x,[/tex]
This equation assumes that the growth rate remains constant over the years and that there are no other factors affecting the population size.
(Please help my I'm timed!)
Using complete sentences, explain the importance of NAFTA. Be sure to discuss the close economic relationship between Canada and the United States.
NAFTA as an organization is very important for the three North American economies, the USA, Canada, and Mexico. It is basically a regional trade organization which has lifted the borders when it comes to trade, thus enabling free movement of goods between these three nations. This has resulted in rise of the economies of all three nations, as there were no trade barriers between them anymore. The companies where able to move their facilities and to operate in each of these countries, which brought them larger profits. The Canadian and the US economies became almost like one, as the companies managed to operate in both places, and to become major players in the market, this especially goes for the US companies that made Canada their home terrain.
Answer:
NAFTA eliminates almost all barriers to trade and investment between the three North American countries and includes provisions for the protection of intellectual property rights.
Please mark me brainlist
The ceiling of Katie’s living room is a square that is 20 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 8 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
The room is a square, meaning all four sides are 20ft long.
Because we know all the side lengths, we can find the perimeter of the square by adding the side lengths together.
(20 + 20 + 20 + 20) = 80
Now that we know the perimeter, we have to match this number to the feet of crepe paper.
We can find this by dividing the total length needed by the length a single roll provides.
80 / 8 = 10
Therefore, we know that Katie will have to buy a minimum of 10 rolls if she wants to cover the entire perimeter of the room.
Hope this helps! :)
Katie will need to buy 18 rolls of crepe paper to cover the perimeter and diagonal of her living room ceiling. She calculates the perimeter as 80 ft and the total diagonal length as 56.6 ft, summing up to 136.6 ft which is then divided by 8 ft per roll.
Katie needs to calculate the amount of crepe paper to cover both the perimeter and the diagonal of her living room's square ceiling. The perimeter of a square is calculated by multiplying the length of one side by four. Since each side is 20 ft, the perimeter is 80 ft (20 ft x 4).
Next, we'll find the length of the diagonal using the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
For a square, the diagonal forms a right-angled triangle with two sides of the square, so the diagonal {d} can be calculated as {d} = {a}² + {a}²)^{0.5}, where extit{a} is the length of one side.
Thus, the diagonal is (20² + 20²)^{0.5} ft = (400 + 400)^{0.5} ft = \\(800)^{0.5} ft = 28.28 ft, which we approximate to 28.3 ft for ease of calculation.
Since Katie needs to hang crepe paper from each corner to the opposite corner, she will need twice the length of one diagonal, which is 2 x 28.3 ft = 56.6 ft. Adding this to the perimeter, we get 80 ft + 56.6 ft = 136.6 ft of crepe paper in total.
Dividing the total length by the length of one roll (136.6 ft / 8 ft per roll), Katie finds that she needs 17.075 rolls. Since she can't buy a fraction of a roll, Katie will round up to the nearest whole number, requiring her to buy 18 rolls of crepe paper.
What is the total surface area of the drawing?
Answer:
21
Step-by-step explanation:
Answer:
Is it 549km^2
Step-by-step explanation:
Let me know if im wrong
Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to
scale.
905 in2
1282 in2
2187 in2
7691 in2
pls help need to pass test!!!! just struggling
Answer:
correct option is 2187
Total surface area is 2,185.44 square inches.
lateral surface area is 640.56 square inches
Step-by-step explanation:
Given
radius of cylinder = 12 inches
height of cylinder = 17 inches
we will us value of pi as 3.14
surface area for cylinder consist of two part
1. lateral surface area which is gven by [tex]2\pi rl[/tex]
where r is radius of cylinder and l is height of cylinder
Thus, lateral surface area for given cylinder is
[tex]2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12[/tex]
Thus, lateral surface area for given cylinder is 1281.12 square inches.
_________________________________
second part of surface area is area of two base (upper and lower) of cylinder.
area of base is given by area of circle [tex]\pi r^2[/tex]
[tex]area \ of \base = \pi r^2 = 3.14*12^2\\=>area \ of \base = 3.14*144 = 452.16[/tex]
This, area of base is for one base of cylinder
since there are 2 base
area of both base will be = 2* area of one base
= 2*452.16 = 904.32.
Thus, area of base is 904.32 sq. in.
_______________________________________
Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches
= 2,185.44 square inches.
Thus, total surface area is 2,185.44 square inches.
lateral surface area is 640.56 square inches
but option which is closest to calculated value is 2187.
Thus, correct option is 2187
___________________________________________
Note: this problem can be directly solved using formula
total surface area for cylinder = [tex]2\pi r^2 + 2\pi rl[/tex]
Answer:
2187
Step-by-step explanation:
Help me out please and thank you
Answer:
M(x,y)= (3,-1)
Step-by-step explanation:
In the attached file
Please help me please do!! I have limited time!! I will brainlist, 5 stars, thanks, ANYTHING to get an answer, even if it is incorrect! If you answer this question, go to my profile and answer the identical question below for EXTRA points!
Answer: 1. 4, 2. 2,
Step-by-step explanation: The small tire would make about 4 rotation, the big tire wold make about 2 rotations
Hope this helps :)
1. Determine if the following graph is a function. Explain your answer.
Answer:
yes
Step-by-step explanation:
It is a parabola, Every y has a unique x value
Use the rule "Divide by 6"
to find how many hours
Jordan has to mow lawns
to earn $78. Enter your
numerical answer in the
box below.
A steel plate has a length of 1.5 feet, a width of 1 foot, and a thickness of 3/4 inch. A drill makes a hole in the plate with a 1-inch diameter. What is the volume of the steel plate? Round your answer to the nearest cubic inch.
Answer: 1 ft3
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the volume of the rectangular plate:
Volume of a rectangular prism: width x length x height (thickness)
Replacing with the values given:
V = 1 x 1.5 x 3/4= 1.125 ft3
Now, we have to calculate the volume of the hole:
Volume of a cylinder = π (diameter/2)^2 x height( thickness of the plate)
V = π (1/2)^2 (3/4) = 0.59 ft3
Finally, we have to subtract the volume of the hole to the volume of the plate:
1.125-0.1875 =0.53 ft3 = 1 ft3 (rounded)
Akeen makes two regular shoe boxes, box 1 and shoe box 2 1s side length are 5 centimeters and 7 centimeters shoe box 2s side length were twice those of shoebox 1s: 10 centimeter, 12 centimeters, and the centimeters. Akin says the surface area of shoebox 2 is twice the surface area of shoe box 1. Is he correct? If he is not, how many times as great as shoebox s surface area is shoe box 2s surface area?
Answer:
No
4 times
Step-by-step explanation:
When the sides are in the same ratio, the objects are said to be similar
Ratio of areas = (Ratio of sides)²
Ratio of areas = 2²
Ratio of areas = 4
Could somebody help me with this as well if you’re good at geometry
The line segments that connect 2nd base to 1st base' & 2nd base to 3rd base form a right angle. Marcus on 3rd base and he is 90ft from Jean who is on 2nd base. Jean is 90ft from Joel who is on 1st base. How far, in feet, is Marcus from Joel?
A. 45
B. 90
C. 90√2
D. 90√3
Answer: The correct answer is option C; 90√2
Step-by-step explanation: The line segments are labelled as base 1, base 2 and base 3 respectively. This we shall call point 1, point 2 and point 3. These three points form a right angle. Also we have been told that Marcus is on point 3 and Jean is on point 2. They are both 90 feet apart. Also Joel is on point 1 and he is 90 feet away from Jean. The unmeasured distance therefore is from point 1 to point 3, which is the distance from Joel to Marcus (or Marcus to Joel).
The distance from point 1 to point 3 is the hypotenuse of the right angled triangle derived. Using the Pythagoras' theorem, the distance from Joel to Marcus (or JM) is calculated as follows;
JM² = JC² + JL²
Where JM is the distance between Joel and Marcus (hypotenuse), JC is the distance from Jean to Marcus and JL is the distance from Jean to Joel.
JM² = 90² + 90²
JM² = 8100 + 8100
JM² = 16200
Add the square root sign to both sides of the equation
√JM = √16200
JM = √100*√81*√2
The right hand side of the equation can be further solved as
JM = 10*9*√2
JM = 90√2
Therefore the distance between Marcus and Joel is calculated as 90√2 feet
HELP ME WITH THESE COORDINATES PLEASE!!!! ❤️
Answer:
5,4
Step-by-step explanation:
We normally plot the coordinates by (x,y)
Given,x=-5 units away=5(since there is no -ve direction)
y=4 units away=4(since there is no-ve direction)
We have,(x,y)=(5,4)
Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)
Answer:
5,4
Step-by-step explanation:
We normally plot the coordinates by (x,y)
Given,x=-5 units away=5(since there is no -ve direction)
y=4 units away=4(since there is no-ve direction)
We have,(x,y)=(5,4)
Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)
Hope this helps!!❤️❤️❤️
Helpppppppppppppppppllpppp math people
Answer:
i would say 7.1
Step-by-step explanation:
the conference of a circle is 34 centimeter. find the radius
Answer:
r = 5.41
Step-by-step explanation:
r = C/2pi
r = 34/2pi
r = 34/6.28
r = 5.41 (rounded)
Answer
Step-by-step explanation:
Solution
Here,
Circumference of circle = 34 cm
Check the picture
The tallest building in Africa is the Carlton Centre in Johannesburg, South Africa. What is the distance from the top of this 735 ft building to the horizon to the nearest mile?
(Hint: 5,280 ft = 1 mi; radius of Earth = 4,000 mi)
The distance from the top of the building to the horizon is ______ miles
Answer:
b = 33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles
Help with this math question please
Answer:
A :572.3
Step-by-step explanation:
i used a circle calculator
Segments AD and BE are parallel because they are both horizontal
Answer:
Step-by-step explanation:
This isn't really a question so how do you expect us to answer this?
Amy‘s design features a polygon with congruent sides. All of the angles are obtuse. Which of the following polygons could be in Amy’s design? Square, trapezoid, equilateral triangle, or regular pentagon
Answer:
Trapezoid
Step-by-step explanation:
Answer:
Trapezoid I've had this and that's what i answered
Step-by-step explanation:
Why does 2+2 =4 but blue + blue still equal blue?
2+2=two 2
blue+blue = two blue
A car wash company charges a $4 initial fee, plus $1 for each car wash. Which equation
represents this situation?
Answer:
x+4
Step-by-step explanation:
Equation for the situation will be y = x + 4.
Given in the question,
"A car wash company charges $4 initial fee plus $1 for each car wash"
Let the number of car washes = x
Cost of 'x' car washes = $x
Total fee (with initial fee) for 'x' car washes = $(x + 4)
Therefore, equation for the total amount 'y' will be,
y = x + 4
Learn more,
https://brainly.com/question/11787187
On the calculator, graph several monomial functions where a = 1 and n is even. For example, y = x4, y =
xo, y = x®, and so on. Trace along the functions, then check all of the statements that are true about all of
these functions.
The graph opens up.
The graph passes through (0,0).
The graph is symmetric about the y-axis.
The graph only has 1 x-intercept.
The graph only has 1 y-intercept.
Answer:
a
Step-by-step explanation:
Please help! I will mark brainiest
Complete the table of values for y=6-2x
Also please work out 6-2x=3
Answer:
Step-by-step explanation:
x=0 y=6-2*0=6
x=1 y=6-2*1=4
x=2 y=6-2*2=2
x=3 y=6-2*3=0
6-2x=3
-6 -6
-2x=-3
2x=3
:2 :2
x=3/2
x=1.5
find two numbers whose sum is 24 and whose difference is 6.
Answer:
9 and 15
Step-by-step explanation:
Let the greater number be x and the smaller number be y.
x +y= 24 -----(1)
x -y= 6
x= y +6 -----(2)
Substitute (2) into (1):
y +6 +y= 24
2y +6= 24 (simplify)
2y= 24 -6 (-6 on both sides)
2y= 18
y= 18 ÷2
y=9
Substitute y= 9 into (2):
x= 9 +6
x= 15
Thus the numbers are 9 and 15.
Kevin makes a list of the tasks he has to do after school and how long it will take him to do each task.
How long will it take Kevin to complete all of his tasks?
9/12
B
9/15
C
27/12
D
20/12
Answer:
The answer is D- 20/12
Step-by-step explanation: