A footbridge is in the shape of an arc of a circle. The bridge is 7 ft tall and 29 ft wide. What is the radius of the circle that contains the bridge? Round your answer to the nearest tenth.

A Footbridge Is In The Shape Of An Arc Of A Circle. The Bridge Is 7 Ft Tall And 29 Ft Wide. What Is The

Answers

Answer 1

Answer:

18.5 ft (to the nearest tenth)

Step-by-step explanation:

The diameter of the circle passes through the center of the circle and divides the width of the circle into two equal parts.

We complete the circle and apply the Law of Intersecting Chords.

In the diagram, by this law:

AB X BC =DB X BE

7*x=14.5X14.5

x=14.5X14.5÷7

x=30.04

Therefore:

Length of the Diameter= 7+30.04 ft=37.04 ft

Radius =37.04/2= 18.5 ft

A Footbridge Is In The Shape Of An Arc Of A Circle. The Bridge Is 7 Ft Tall And 29 Ft Wide. What Is The
Answer 2

The radius of the circle should be 18.5 ft (to the nearest tenth).

Calculation of the radius:

Since there is the bridge is 7 ft tall and 29 ft wide.

Also,

here we apply the Law of Intersecting Chords.

So,

[tex]AB \times BC =DB \times BE\\\\7\times x=14.5\times 14.5\\\\x=14.5\times 14.5\div 7[/tex]

x=30.04

Now

Length of the Diameter= 7+30.04 ft=37.04 ft

So, Radius = 50% of 37.04 =  18.5 ft

Hence, The radius of the circle should be 18.5 ft (to the nearest tenth).

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Related Questions

In a population of 1,000 students, 50 were asked by
random sampling what their plans were after graduation
from high school. Their responses are shown in the table
Using proportional reasoning, make a prediction about
how many students you would expect to have plans to
attend college
Intention after
Graduation
Number of
Students
50
1000
27
College
Job
27,000 = 50
13
Military
No plans
About
would have plans ao attewel college
Intro

Answers

Answer:540

Step-by-step explanation:

I got it right

Answer:540

Step-by-step explanation:

i got it right on edgen uity

an 8-pound bag of potatoes costs $18 at this price how much would 15 pounds cost?

Answers

The easiest way is to break it down by dividing 18 by 8 (to find how much it costs per pound) 18 divided by 8 is 2.25 which is the price per pound. Then we would multiply 2.25 and 15 which is $33.75. I hope that helped!!

Please I need to get this right!!

Answers

Answer:

12.56

Step-by-step explanation:

The formula for circumference is:

Circumference = Pi x Diameter

In this case the diameter is 4.

So you can simplify Pi to just 3.14 and multiply that times 4 which gives you 12.56.

Hope this helped!

Answer::25.13

Answer:25.13

Step-by-step explanation: C=2πr=2·π·4≈25.13274

This is the correct answer to the question and thats the explanation

It wont let me turn it in for some reason

If r is an integer greater than 1, what is the value of (−1)^r +1 if r is an odd integer

Answers

Answer:

zero

Step-by-step explanation:

(−1)^r when r is an odd integer greater than 1 always  equals -1                                     then -1 + 1 = zero

Answer:

0

Step-by-step explanation:

(−1)^r when r is an odd integer greater than 1 always equals -1,then -1 + 1 =0.

Hope this helps.

Solve for AD.


A) 12

B) 10

C) 8

D) 6

Answers

Answer: I believe the answer is C) 8

The pattern goes 0, 4, 8, 12

Inbetween them are 2, 6, 10

It is either c or d

If the initial population of panda was 100 and grew to 125 after the first year, which of the following functions best models the population of pandas P with respect to the number of years t if the population growth of pandas is considered to be linear?
A. P= 25t + 100
B.P= 100(1.25)^t
C. P= 100(1.2)^t
D.P= 20t^2 + 5t +100

Answers

Hi,  

if growth continue to the same rate, meaning  +25% more every year, then   B is the answer :

100 (1.25)^t

Final answer:

The correct function that models the linear growth of the panda population is P = 25t + 100 as it correctly shows the yearly growth of 25 pandas from an initial population of 100.

Explanation:

The student is given that the initial population of pandas was 100, and after one year, it has increased by 25 to 125. As the question specifies a linear growth for the pandas' population, the model that would best fit this would be a linear function. The growth per year is 25 pandas, which becomes the slope of our linear function. The initial population is the y-intercept, which is the value of P when t = 0. Thus, the correct function that models this scenario is P = 25t + 100.

Option A correctly represents the linear population growth, while the other options represent exponential or quadratic growth, and thus are not suitable models for this particular case of linear growth.

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2 box plots. The number line goes from 60 to 79. For the swim team, the whiskers range from 64 to 74, and the box ranges from 71 to 73. A line divides the box at 72. For the wrestling team, the whiskers range from 65 to 72, and the box ranges from 66 to 71. A line divides the box at 69.
The box plots represent heights of students on two sports teams.
What is the IQR for the swim team?


What is the IQR for the wrestling team?

Answers

Answer:

For the first question "What is the IQR for the swim team?" the answer should be the number 2. And for the second question "What is the IQR for the wrestling team?" the answer should be the number 5

Step-by-step explanation:

answer :

1. the IQR for the swim team is 2.

2. the IQR for the wrestling team is 5.

There are 20 students in speech class and five speeches are given each day. What is the probability that Maria is randomly selected on the first day?

Answers

The answer is .279 or 27.9%

Solve: 10 sin^2(X) - 3sin(X) - 1 = 0
Let u = sin(x).
The given equation is equivalent to
(2u - 1)(5u + 1) = 0
(10u + 1)(u - 1) = 0
(5u - 1 )(2u- 1) = 0

Answers

Answer:

(2u-1)(5u+1)=0

(2u-1), sin(x)= 1/2

(5u+1), sin(x)= -1/5

The solutions to the equation:

x=pi/6 + 2kpi

x=5pi/6 +2kpi

3.34+2kpi

-0.201+2kpi

Step-by-step explanation:

Correct on edge

[tex](2u-1)(5u+1)=0(2u-1), sin(x)= 1/2(5u+1), sin(x)= -1/5The solutions to the equation:x=pi/6 + 2kpix=5pi/6 +2kpi3.34+2kpi-0.201+2kpi[/tex]

How do you know if equations are equivalent?

To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent. If "x" is different (i.e., the equations have different roots), then the equations are not equivalent.

What is an example of an equivalent equations?

For example, if we take 3x + 12 = 7x - 2 and subtract 3x from both sides and add 2 to both sides, we get 14 = 4x. In doing this, we haven't changed the solution set, so 3x + 12 = 7x - 2 and 14 = 4x are equivalent.

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Curtis rides his bike 9 miles one way then turns around and rides back. On the return trip, his speed is increased 20% because the wind is at his back. Let s be his speed in miles per hour riding against the wind. What is an expression that represents his total time in hours riding there and back?

Answers

Answer:

The expression that represents the total time of his route is "time = 16.5/s".

Step-by-step explanation:

Curti's ride has two parts, the first one which was made at a speed of "s" and the second one where his speed was 20% higher, therefore "1.2s". The total time to complete this course is the sum of the times for each part, since the average speed is given by:

time = distance/speed

Then the total time for the track is:

time = 9/s + 9/(1.2s)

Using LMC:

time = (1.2*9 + 9)/1.2s = (10.8 + 9)/1.2s =  19.8/(1.2s) = 16.5/s

The expression that represents the total time of his route is "time = 16.5/s".

Alex’s printer can print 8 photos in 12 minutes.
Khalil’s printer can print 24 photos in 1 hour.
Which process could you use to help determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s?
Select all that apply.

Answers

Answer:

what are your options for select all that apply

Step-by-step explanation:

Answer:

what are the options for the answer ?

Step-by-step explanation:

-12x-14=-62
-12x = ?

Answers

Answer: No solution

Step-by-step explanation: -12x-14=-62-12x

You would have to simplify the -12x but you can't so this would be a no solution.

Answer:

No solution

Step-by-step explanation:

Use the original price and the markup to find the retail price.

Original price: $42; Markup: 7.5%

Answers

Answer:

$45.15

Step-by-step explanation:

When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.

Now, we have to use this formula for these types of questions:

x + x(y)= the price with tax (or markup)

So, we can substitute the variables.

42+42(0.075)=the retail price

42(0.075)=3.15

42+3.15=45.15

So, the retail price will be $45.15

estimate the square root of 82 to the nearest whole number

Answers

Answer:

The square root of 82 rounded to the nearest whole number is 9.

Final answer:

The square root of 82 is estimated to be 9, as it falls between the perfect squares 64 and 100, which have square roots 8 and 10 respectively, and it is closer to 64.

Explanation:

The square root of a number is the value that, when multiplied by itself, gives the original number. For example, the square root of 64 is 8, because 8*8 equals 64. To estimate the square root of 82 to the nearest whole number, you should locate two perfect squares that 82 falls between. The perfect squares nearest to 82 are 64 (8^2) and 100 (10^2), so the square root of 82 must be between 8 and 10. As 82 is closer to 64 than to 100, the square root of 82 would be closer to 8. Therefore, we can estimate the square root of 82 to the nearest whole number as 9.

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Write a ratio equivalent to 17/51

Answers

Answer:

I think it’s 17:51

Step-by-step explanation:

What is the quotient of the division?

742 ÷ 7 = ?

Answers

Answer:

106

Step-by-step explanation:

700/7 = 100

42/7 = 6 + 100 = 106

Answer:

742÷7= 106

Step-by-step explanation:

PLZZ HELP!!! A graphic designer chose a base font size and represented it as 1 on the scale. He then listed some consecutive scale sizes. Two consecutive sizes were 4.096 and 6.5536.

What scale size came before 4.096?

Enter your answer, as a decimal, in the box.

Answers

Bbbbbbbbbbhbbhbbhhhhhhh

Is y= x^2-1 a linear equation?

Answers

Answer:

no

Step-by-step explanation:

it involves a square, which when graphed, generates a curve

Answer:

NO

Step-by-step explanation:

Step 1:  Determine if linear

No, since the x term is squared, that produces the bend that makes a parabola.  If the x term is not squared is just by itself, that is a linear equation.

Answer: NO

Graph Below

Suppose cheese costs $22 per kilogram. Ella buys a 75-gram piece of cheese and Ali buys a 250-gram piece of cheese.

How much more did Ali pay for his cheese?


$1.10

$3.85

$7.15

$11.00

Answers

you have to multiply 22 and 75 and you get 1,650 then multiply 22 and 250 then you should get 5,500, then you subtract 5,500-1,650 and it equals $3.85

The amount of more did Ali pay for his cheese is $3.85.

Calculation of more amount payment:

Since Suppose cheese costs $22 per kilogram. Ella buys a 75-gram piece of cheese and Ali buys a 250-gram piece of cheese.

[tex]= (22\times 250) - (22 \times 75)\\\\[/tex]

= $5,500 - $1,650

= $3,850

So it should be like $3.85

hence, The amount of more did Ali pay for his cheese is $3.85.

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A kite was broken into two triangles.

A kite is broken into 2 triangles. Both triangles have a base of 16 centimeters and a height of 5 centimeters.

The height of the triangle h is
cm.

Answers

Answer:Area of the kite = 80 [tex]cm^{2}[/tex] , Area of traingle = 40 [tex]cm^{2}[/tex] and height of the triangle, h = 5 cm

Step-by-step explanation:

A kite is broken into two triangles

Given the base of the traingle, b = 16 cm

Height of the triangle, h = 5 cm

Area of traingle = [tex]\frac{1}{2} (b.h)[/tex]

= [tex]\frac{1}{2} (16) (5)[/tex]

= 40 [tex]cm^{2}[/tex]

Area of the kite = area of triangle 1 + area of triangle 2

  = 40 + 40

 = 80 [tex]cm^{2}[/tex]

Answer:

its five

Step-by-step explanation:

Use the drop-down menus to justify Marlena's work in
each step of the process.
Step 1:
Step 2:
Step 3:
addition property of equality
multiplication property of equality
combined like terms​

Answers

Answer: additional prop

subtraction prop

division prop

Step-by-step explanation:

***PLEASE HELP*** I will give you 20 Brainly points

What is the approximate surface area of the sphere?

Answers

Answer:

Option B 451.9 km^2

Step-by-step explanation:

The box plots show the average wind speeds, in miles per hour, for various cities in two different countries
Average Wind Speeds of Cities in Country A
Average Wind Speeds of Cities in Country B
Which statement compares the median wind speeds for the data in the two box plots?
The median wind speed for country A is greater than the median wind speed for country B.
The median wind speed for country B is greater than the median wind speed for country A
The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9
miles phour

Answers

In my choice i would choose “the median wind speed for country B is greater than the median wind speed for country A”

Answer:

B

Step-by-step explanation:

Can someone please answer this

Answers

Answer:

Stairs come in many different forms, and while building a basic staircase may appear to be a simple task, there are actually a number of parameters, calculations, and building codes that must be considered. These range from the length, width, and height of specific parts of the stairs, to where doors are placed in relation to stairs; the arc of a door must be completely on the landing or floor and not be allowed to swing over steps. Below is a list of some of the most common terminology regarding stairs, as well as some commonly used building codes. Building codes or requirements can differ at a local level, and a person building a staircase should refer to the codes specific to their locations.

Run/Tread: The run or tread is the part of the stairway that a person steps on. Its length is measured from the outer edge of the step, which includes the nosing if it is present, to the vertical portion of the stair called the riser. Both nosing and riser are discussed below. When measuring total run of a staircase, the length of the tread above the last riser is not included in the measurement. Also, when nosing is present, total run is not simply the sum of tread length, since the overhang caused by the nosing must be subtracted from the total run.

Building codes generally suggest that the minimum length of a tread be 10 inches (25.4 cm).

Rise/Riser: The rise, or height of a step is measured from the top of one tread to the top of the next tread. It is not the physical height of the riser because this excludes the thickness of the tread. The number of risers, not the number of treads, is used to determine the number of steps that comprise a staircase.

Building codes generally suggest that the maximum height of a riser be 7.75 inches (19.7 cm)

Nosing: The nosing is the protrusion at the edge of a tread that hangs over the riser below. Not all steps have a nosing, but when present, the nosing is included in the length of the tread. The main purpose of a nosing is to improve safety by providing extra space on which a person can place their feet.

Common building codes generally suggest that the nosing have a minimum length of 0.75 inches (1.9 cm) and a maximum length of 1.25 inches (3.2 cm).

Headroom: Headroom is the height measured from the top of a tread to the ceiling above it. While building codes for headroom are primarily intended to ensure enough room for people to comfortably use the stairs, the codes typically require far more room than the average height of a person to allow for moving larger objects such as furniture.

Building codes generally suggest at least 6 ft. 8 inches (203.2 cm) of stair headroom.

Stair Width: Stair width is measured from edge to edge of each side of the tread, perpendicular to tread length. While measurements of length are conventionally longer than those of width when considering rectangles, in the case of steps, the width is usually the longer side. Stair width does not include handrails.

Building codes generally suggest that stairs be at least 36 inches (91.44 cm) wide.

Handrails & Guards/Guardrails: A handrail is a railing that runs up a stair incline for users to hold when ascending or descending a staircase. A guard is "a building component or a system of building components located near the open sides of elevated walking surfaces that minimizes the possibility of a fall from the walking surface to the lower level." Guards can include rails (guardrails), but can be any number of other constructions such as walls, half-walls, or even a bench.

Building codes generally require guards for stairs that have a total rise of more than 30 inches above the floor, and require that these guards be at least 34 inches (86.36 cm) in height measured from the top of the treads. Similarly, handrails must be between 34 and 38 (96.52) inches high measured from the top of the treads, with a diameter between 1.25 inches (3.18 cm) and 2.675 inches (6.79 cm).

Stringer: A stair stringer is a structural member that supports the treads and risers of a staircase. Typically, there are three in a staircase: one on each side, and one in the middle. Stringers are not always visible, but can be seen on stairs with open sides. The stringers can either be cut to the shape of each step, or in some cases are uncut and conceal the edges of the treads.

Step-by-step explanation:

Internet

What is the equation of the parabola that has its vertex at (7,6) and contains the
point (6,8)?
C A) y = 2x2 - 28x + 52
C B) y= 2x2 - 14x + 104
C) y= 2x2 - 28x+ 104
r D) y = x2 - 144+52

Answers

The solution is Option C.

The equation of the parabola is y = 2x² - 28x + 104

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the vertex of the parabola be ( h , k ) = ( 7 , 6 )

Now , the point P ( 6 , 8 ) lies on the parabola

The equation of the parabola is given by

y = a ( x - h )² + k

Substituting the values in the equation , we get

y = a ( x - 7 )² + 6

8 = a ( 6 - 7 )² + 6

Subtracting 6 on both sides of the equation , we get

2 = a ( 1 )

So , the value of a = 2

Now , the equation of parabola is

y = 2 ( x - 7 )² + 6

On simplifying the equation , we get

y = 2 ( x² - 14x + 49 ) + 6

y = 2x² - 28x + 98 + 6

y = 2x² - 28x + 104

Hence , the equation of parabola is y = 2x² - 28x + 104

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Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?
A)
(-9,-8)(-9,0)(2.-8)
b
(-9.-8)(-9. 1)(2, -8)
c
(-9.-8)(-9,0)(3.-8)
D)
(-9.-8)(-9. 1)(3. -8)​

Answers

The answer is d that is what I think

what is the vertex of the parabola
1. (-1,0)
2. (0,-3)
3. (1,-4)
4. (3,0)

Answers

The answer is (1,-4)
Remember that the vertex is the center of the parabola.

Te assembly started at 3:02pm. It ended at
3:58pm. How long was the assembly?

Answers

Answer:

The assembly was 56 minutes long

Step-by-step explanation:

Answer: The assembly lasted 56 minutes.

Step-by-step explanation:

If you just pay attention to the minutes (2 and 58 respectively), you can subtract the original amount from the end amount.

58-2=56

Find the equation of a line that is parallel to y = 2x + 3 and passes through (-1, -1).
A) y = 2x + 1
B) y = 2x + 3
C) y = 4x + 3
D) y

Answers

The answer is A) y=2x+1. When you use the equation y - y1 = m (x - x1) you get y + 1 = 2(x + 1). It simplifies to y + 1 = 2x + 2 and then to y= 2x + 1.

A graphic designer chose a base font size and represented it as 1 on the scale. She then listed some consecutive scale sizes. Two consecutive sizes were 2.744 and 3.8416.

What scale size came before 2.744?

Enter your answer, as a decimal, in the box.

Answers

The scale size that came before 2.744 is 1.92.

To find the scale size that came before 2.744, we need to understand the relationship between the consecutive scale sizes. Given that the base font size is represented as 1 on the scale, and we have two consecutive sizes as 2.744 and 3.8416, we can determine the common ratio of the geometric progression that these sizes follow.

Let's denote the common ratio as r. Then, we can write the following relationship:

[tex]\[ 2.744 \times r = 3.8416 \][/tex]

Now, we solve for r:

[tex]\[ r = \frac{3.8416}{2.744} \] \[ r = 1.4 \][/tex]

Now that we have the common ratio, we can find the scale size before 2.744 by dividing 2.744 by the common ratio:

[tex]\[ \text{Previous scale size} = \frac{2.744}{1.4} \] \[ \text{Previous scale size} = 1.92 \][/tex]

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A corporate charter specifies that the company may issue up to 26 million shares of stock. The company sells 18 million shares to investors and later buys back 6.0 million shares. The current number of shares of treasury stock after these transactions have been accounted for is: Multiple Choice 20.0 million shares. 12.0 million shares. 8.0 million shares. 6.0 million shares. If you wanted to make sure a company has enough money available to pay tshelpful?A, Balance sheetB. Income statementC. Statement of owners' equityD. Cash flow statementPlease select the best answer from the choices provided X KISD-Grade 7 Texas History-49How did the accomplishments of Hermine Tobolowsky, Sarah Hughes and Oveta Culp Hobby help encourage Texans to passthe Equal Rights Amendment? Is the sentence below written in the active voice or passive voice?Emma Ross hid in the tree house.Active VoicePassive Voice // global variables int a = 5, b = 6, c = 7, d = 8; void sub2() { int a = 0, b = 3; //local variables { int b = 5; //local variable System.out.println("a=" + a); System.out.println("b=" + b); System.out.println("c=" + c); System.out.println("d=" + d); } } void sub1() { int a = 2, b = 4, c = 1; //local variables sub2(); } void main() { int a = 1, b = 2, c = 3, d = 4; //local variables sub1(); }\ In forming a chelate with a metal ion, a mixture of free EDTA (abbreviated Y 4 Y4 ) and metal chelate (abbreviated MY n 4 MYn4 ) can buffer the free metal ion concentration at values near the dissociation constant of the metal chelate, just as a weak acid and a salt can buffer the hydrogen ion concentration at values near the acid dissociation constant. The equilibrium M n + + Y 4 MY n 4 Mn++Y4MYn4 is governed by the equation K f = Y 4 K f = [ MY n 4 ] [ M n + ] [ EDTA ] Kf=Y4Kf=[MYn4][Mn+][EDTA] where K f Kf is the association constant of the metal and Y 4 Y4 , Y 4 Y4 is the fraction of EDTA in the form Y 4 Y4 , and [ EDTA ] [EDTA] is the total concentration of free (unbound) EDTA EDTA . K f Kf is the conditional formation constant. How many grams of Na 2 EDTA 2 H 2 O Na2EDTA2H2O (FM 372.23 g/mol) should be added to 1.97 1.97 g of Ba ( NO 3 ) 2 Ba(NO3)2 (FM 261.35 g/mol 261.35 g/mol ) in a 500. mL volumetric flask to give a buffer with p Ba 2 + = 7.00 pBa2+=7.00 at pH 10.00? log K f logKf for Ba EDTA BaEDTA is 7.88 7.88 and Y 4 Y4 at pH 10.00 is 0.30. mass Na 2 EDTA 2 H 2 O. Nomi will pay in cash. Vrai ou faux ? Vrai Faux If the hydroxide ion concentration is 10-7 M, what is the pH of the solution Describe what a baby eagle looks like