The leaning Tower of Pisa was completed in 1372 and makes 86 degree angle with the ground. The tower is 50 meters tall, measured vertically from the ground to the highest point. If you were to climb to the top then accidentally drop your keys, where would you start looking for them?



How far from the base of the tower would they land?



I made having no luck in figuring this out.

Answers

Answer 1

Answer:

The distance where the keys would drop from the base is 3.5m

Step-by-step explanation:

Height of the tower = 50m

Angle it makes to the ground = 86°

To solve this question, you have to understand that the tower isn't vertically upright and the height of the tower is different from the distance from the top of the tower to the ground.

The tower makes an angle 86° to the ground and that makes it not vertically straight because a vertically straight building is at 90° to the ground.

See attached document for better illustration.

The distance from where the keys drop to the base of the tower can be calculated using SOHCAHTOA

We have to use cosθ = adjacent / hypothenus

θ = 86°

Adjacent = ? = x

Hypothenus = 50m

Cos θ = x / hyp

Cos 86 = x / 50

X = 50 × cos 86

X = 50 × 0.06976

X = 3.488 = 3.5m

The distance where the keys would drop from the base of the tower is approximately 3.5m

The Leaning Tower Of Pisa Was Completed In 1372 And Makes 86 Degree Angle With The Ground. The Tower

Related Questions

Complete the equation and solve the problem. Let n be the number of students in each row. There are 37 students in the marching band. There are 5 students in the first row, and the rest are in 4 equal rows. How many students are in each of the 4 rows?

Answers

Answer:

37 - 5 = 32

32/4 = 8

8 students are in each of the 4 rows

Answer: there are 8 students in each of the 4 equal rows

Step-by-step explanation:

x = # of students in each of the 4 rows

4x + 5 = 37

4x = 32

x = 8

There are 8 students in each of the 4 rows.

You can check this:

4 rows of 8 students —> 4(8) = 32 students

+ 5 students in the first row

= 37 students total

Find the equation of the line shown.
HELP PLEASEEE

Answers

Answer:

y = x+6

Step-by-step explanation:

The y intercept is 6  ( where it crosses the y axis)

We need to find the slope

For each y unit it goes up, it goes to the right 1 x unit

m = 1/1 = 1

We can use the slope intercept form of the equation

y = mx+b  where m is the slope and b is the y intercept

y = 1x+6

y = x+6

Hey, can anyone help me? My math question is: "What sort of information can you get from conditional frequencies that you couldn't get by just looking at the relative frequencies?"

Thanks :)

Answers

Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.

Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.

Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.

Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.

I need help finding the slope and y-Intercept

Answers

Answer:

You Do y= mx+b

Step-by-step explanation:

Answer:

y-intercept is 2 because line passes through (0,2) and the slope is 3.

The equation of this line is y=3x+2.

Carlos keeps track of his math scores of tests. His scores on his math tests are
the following: 100, 88, 50, 50, 90, 70, 80 What is the:
Median?
Mode?
Mean?
Range?

Answers

Answer:

Median: 75

Mode: 50

Mean: ≈ 75.4

Range: 50

Step-by-step explanation:

Median:

Arrange the numbers in order:

50, 50, 70, 80, 88, 90, 100

There is no exact middle number.

[tex]70 + 80 = 150\\150/2 = 75[/tex]

The median is about 75.

Mode:

50, 50, 70, 80, 88, 90, 100

"50" appears the most.

The mode is 50.

Mean:

Add all numbers in the set.

[tex]100+88+50+50+90+70+80 = 528[/tex]

Divide by the number of values in the set.

[tex]528/7 = 75.4285714286[/tex]

75.4285714286 ≈ 75.4

The mean is about 75.4.

Range:

Subtract the smallest number in the data set from the largest number in the data set.

[tex]100-50=50[/tex]

The range is 50.

Brainilest appreciated.

The radius of a circle is 5 m. Find its area in terms of .

Answers

Answer:

78.5 m²

Step-by-step explanation:

Area formula: πr²

Plug it in: (3.14)(5m)²

Answer: 78.5 m²

What is the volume of this rectangular prism?

Answers

Answer:

[tex] \frac{1}{2} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

1/2cm to the third power

Which of the following statements is true for the logistic differential equation?
The graph has a horizontal asymptote at y = 18.
y is growing the fastest when y = 9.
The limiting value for y is 18.
All of the above.

Answers

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?

35 inches


47 inches


50 inches


43 inches

will mark brainliest

Answers

Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.

Answers

Answer:

6:5

Step-by-step explanation

boys : girls

= 18 : 15

Now time to simplify:

18/3: 15/3

= 6:5

Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form

Answers

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4

.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?

Answers

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]

2. Area for wheat

[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]

3.Area for olive trees

[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

I Will pick brainless answer! A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama used to make the cookies?

Answers

Answer:

d: 1/2

Step-by-step explanation:

Answer:D. 1/2 c

Step-by-step explanation:A recipe is 100% and 3/4 is 75%. 75% of 2/3 is 1/2.

May someone please help me

Answers

hi buddy i can help you with this

Which is a solution to (x − 2)(x + 10) = 13?

Answers

Answer:

3

Step-by-step explanation:

3-2=1

3+10=13

1x13=13

I really need help with this :((

Answers

Answer:

Step-by-step explanation

The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.

Quadrilateral ABCD​ is inscribed in this circle.




What is the measure of angle C?
Please Help!!!

Answers

Answer:

C=62 maybe

Step-by-step explanation:

3x=x+20

-x    -x

2x=20

divide by 2

x=10

2*10=20+38=58

10+20=30

3*10=30

30+30=60+58=118

180-118=62

someone pls help this is due today

Answers

Answer: 0.44mm

Step-by-step explanation:

In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.

V=πr²h

25120=πr²h

The problem also gives the diameter of the case: 40mm.

To find radius, you divide the diameter in half.

d=2r

40=2r

r=20

With the radius, we can add that to the volume equation.

25120=[tex]\pi[/tex](20)^2h

25120=400πh

All we have left is to find the height.

h=25120/(400π)

h≈20mm

Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.

20mm/50 chips=0.4mm/chip.

About how many times greater is the volume of the cylinder than the volume of the cone?

Answers

Your answer is 3 times larger.

The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.

We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h

I hope this helps!

The sound of thunder from a bolt of lightning was heard 2.6 seconds after the lightning hit,from 895 meter away.What was the speed of sound to the nearest tenth of a meter of a meter per person

Answers

Answer:

344.2m/s

Step-by-step explanation:

The parameters given are:

Distance=895meter

Time=2.6seconds

Therefore the speed of sound is:

Speed of sound= distance/time taken

= 895/2.6

=344.23

=344.2m/s ( to the nearest tenth)

Answer:

d 344.2 meters per second

Step-by-step explanation:

edge 2021

7532 Question 1 of 7 The equation 4x – 45 = y is used to find your profit, y, in dollars from buying $45 of supplies and washing cars for $4 each. What does the x stand for?

Answers

Answer:

x stands for the number of cars washed with the supplies.

Step-by-step explanation:

Given;

Profit equation; y = 4x - 45

Price of supplies = $45

Amount received per car wahed = $4

From the equation given, we can notice that the higher the value of x the higher the profit generated.

Since, for washing a car brings $4, 2 car is $8 and so on... So the value of x is the number of cars washed with the supplies.

x stands for the number of cars washed with the supplies.

For example, if we wash 15 cars. x = 15

y = 4(15) - 45 = 60 - 45

y = $15

Hi so i am writing a movie but i need ideas

Answers

A coming of age story about two childhood best friends who grow apart
You can write about many interesting things. For example, you can write about your life or make up characters.

I hope this helps you!!!!

A circle has a diameter that measures
8 inches. What is the area of the circle to the nearest tenth? Use 3.14 for pi.

Answers

Answer:

50.24inches

Step-by-step explanation:

Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)

[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work

Answers

Answer:

Step-by-step explanation:

[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]

[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]

[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]

[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]

[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]

[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]

[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]

x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]

x =  [tex]\sqrt[3]{8^{5}}[/tex] -2

Picture attachment below

Answers

Answer:

$4.50 for 9 cans

Step-by-step explanation:

easy geometric shapes question #6 help please!

Answers

Answer:

it will gemetry and get 15

someone lmk plzzz tyy

Answers

Answer:

y-1 = -(x-2)

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

   = (5-1)/(-2 -2)

    = 4/-4

   = -1

We are using point slope form using the point (2,1)

y-y1 = m(x-x-1)

y-1 = -1(x-2)

y-1 = -(x-2)

Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?

Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20

Answers

The total finance charge over the course of his loan is $2071.20.

It is required to find the total finance charge.

What is simple & compound interest?

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given that:

Loan= $15,000

The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.

The sum of those 48 payments is ...

=48 × $23.71 =

 =$1138.08

That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.

so his total finance charge will be

= 15 × $138.08

= $2071.20

Therefore, the total finance charge over the course of his loan is $2071.20.

Learn more about simple & compound interest here:

https://brainly.com/question/16666364

#SPJ5

Answer:

D.

$2,071.20

Step-by-step explanation:

Find the solution set.
(x - 5)(x-5) = 0

Answers

Answer:

x = 5

Step-by-step explanation:

Steps to solve:

(x - 5)(x - 5) = 0

~Set both factors to equal 0

x - 5 = 0

x - 5 = 0

~Solve for x

x - 5 = 0

x - 5 + 5 = 0 + 5

x = 5

We only solved for one factor since they are both the same and the x value for both are also the same.

Best of Luck!

3(5x – 10) < 30x solve for x

Answers

Answer:

x>-1.25

Step-by-step explanation:

3(5x-10)<30x

15x-20<30x

-20<15x

-20/15<x

-1.25<x

x>-1.25

Step-by-step explanation:

Step 1:  Distribute

[tex]3(5x - 10) < 30x[/tex]

[tex](3 * 5x) + (3 * -10) < 30x[/tex]

[tex]15x - 30 < 30x[/tex]

Step 2:  Subtract 15x from both sides

[tex]15x - 15x - 30 < 30x - 15x[/tex]

[tex]-30 < 15x[/tex]

Step 3:  Divide both sides by 15

[tex]-30 / 15 < 15x / 15[/tex]

[tex]-2 < x[/tex]

Answer:  [tex]x > -2[/tex]

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