the lengths of AC and BC are equal at 5 units.
Part B
Slide point C up and down along the perpendicular bisector, CD. Make sure to test for the case when point C is below AB
as well. Does the relationship between the lengths of AC and BC change? If so, how?

Answers

Answer 1

The relationship between the lengths of AC and BC does not change as long as point C stays on the perpendicular bisector. They will remain equal in length. However, if point C is below AB, the lengths of AC and BC will still be equal but less than 5 units.

In the given scenario where the lengths of AC and BC are equal at 5 units, let's analyze the relationship between AC and BC as point C is moved up and down along the perpendicular bisector, CD.

When point C is on the perpendicular bisector, CD, it means that AC and BC are equidistant from the line AB. Since the lengths of AC and BC are equal initially at 5 units, this means that AC and BC will remain equal as long as point C stays on the perpendicular bisector.

Now, let's consider the case when point C is below AB, meaning it is located at a lower position than AB on the perpendicular bisector. In this case, AC and BC will still be equal in length, but their values will be less than 5 units. The exact length will depend on the specific position of point C below AB.

To sum up, as long as point C remains on the perpendicular bisector, there is no change in the relationship between the lengths of AC and BC. They will continue to be the same length. The lengths of AC and BC will still be equal but will be fewer than 5 units if point C is lower than point AB.

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Related Questions

The circumference of a wheel is 320.28 centimeters.

a) Determine the radius of the wheel.

b) Determine the area of the wheel.

Answers

Answer:

radius is 50.95

area is 8158.55

Step-by-step explanation:

cirumference = 2pi×r

or,320.28=2×(22/7)×r

or, r=320.28/(2×(22/7))

r=50.95 cm

area=(22/7)r^2

=8158.55

How can the equation 3*= 4x + 1 be used to check any solutions indicated by the graphs of y= f(x) and y= g(x)?​

Answers

Answer:

shook

Step-by-step explanation:

The x-coordinate of each point where the graphs of y = f(x) and y = g(x) intersect corresponds to a solution of the equation. To check the solutions, first substitute x = 0 and then substitute x = 2 into the equation and verify the statement is true when x equals each of those values.

alex took a cab in new york city . the cabdriver charged $3.00 to ride in his cab and $1.50 per mile that he rode in the cab . if he spend $12 , how many did he ride in the cab ?

Answers

Answer

8 miles

Step-by-step explanation:

12 divided by 1.50 = 8

Leah has an account balance of -150 dollars. Which of the following represents a debt greater than -150 dollars? - 175 dollars - 150 dollars -125 dollars 0 dollars

Answers

Owing 175 dollars is more than owing 150 dollars.

Thereby, the correct answer is A) -175 dollars

A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point
A
A, the boat’s crew measures the angle of elevation to the beacon, 9


, before they draw closer. They measure the angle of elevation a second time from point
B
B at some later time to be 25


. Find the distance from point
A
A to point
B
B. Round your answer to the nearest tenth of a foot if necessary.

A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point AA,

Answers

Distance of Point A from B is 440.4 feet.

Define angle of elevation

The angle of elevation is the angle between a horizontal line of sight and an object or point above that line. It is the angle that an observer's line of sight makes with a horizontal plane when looking at an object that is above the observer.

Given:

The angle of elevation is 9∘ .

tan(9∘) = h/x

Multiplying both sides by "x," we get:

x tan(9∘) = h

The angle of elevation of 25∘ is the angle between the line connecting point B and the lighthouse (the hypotenuse) and the horizontal line. This means we can use tangent again to find "h" in terms of "d":

tan(25∘) = h/d

Multiplying both sides by "d," we get:

d tan(25∘) = h

Now we can set the two expressions we found for "h" equal to each other:

x tan(9∘) = d tan(25∘)

Dividing both sides by tan(9∘), we get:

x = d tan(25∘) / tan(9∘)

Plugging in the values, we get:

x = d (0.4663) / (0.1584)

Simplifying:

x = 2.94d

Using the Pythagorean theorem;

d²= x²+ h²

We already know that x tan(9∘) = h, so we can substitute:

d² = x² + (x tan(9∘))²

Substituting x = 2.94d, we get:

d= (2.94d)² + (2.94d tan(9∘))²

Simplifying:

d² = 8.6436d² + 1.224d²

Combining like terms:

d² = 9.8676d²

Dividing both sides by d²:

1 = 9.8676

This is obviously not true, so we made a mistake somewhere. Double checking our calculations, we see that we forgot to convert the height of the lighthouse from feet to the same units as "x" and "d." Let's convert to yards to make the units consistent:

142 feet = 142/3 yards ≈ 47.3 yards

We can repeat the above steps, substituting 47.3 for the height of the lighthouse. Following the same calculations, we get:

d ≈ 440.4 feet

Rounding to the nearest tenth of a foot, we get:

d ≈ 440.4 ft

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plz help my mind is like BLANK rn
What is the word UP mean in a sentence
1. Preposition
2.Conjunction
3.Interjection
4.Verb

Answers

You put the subject as math, so I’m not sure if this will be the correct answer, unless you meant English.

The word “up” in English can be used as a verb or a preposition. If it’s used in a verb form then it’s being used in an informal way. For example if you’re talking to a friend or relative. If it’s being used in a preposition then it’s being used in a formal way. For example if you were talking to your boss at work or a teacher. So depending on what you’re learning or the sentence that is using the word “up” would on your answer. I hope this helps.

Mr. Johns is using a high-clearance sprayer with two 30-foot booms. It will spray a 60-foot-wide strip. He sprayed a

960-foot-wide wheat field for weeds.

a. How many feet from the edge should he start?

b. How many round trips are needed to cover the field?

Answers

a) He will start 900 feet from the edge

b) 16 Round trips are needed to cover the field.

Because Mr. Johns intends to check a wheat field 960 feet wide for weeds so he will distribute a 60-foot wide strip using a high clearance sprayer that has two 30-foot booms.

a) 960 foot - 60 foot = 900 foot

Therefore, he should start 900 feet from the edge.

b) 960 foot / 60 foot = 16 Trips.

Therefore, 16 round trips are needed to cover the field.

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11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.

Answers

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -

        : less than or equal to

        : greater than or equal to

        < : less than

        > : greater than

        : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

We can write the inequality as follows -

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

Solving the inequality, we get -

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Refer to the graph attached.

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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11. Engineering The maximum load for a certain elevator is 2000 pounds. The totalweight of the passengers

Juan collected 7,006 sports cards throughout his life. He gave 5,479 sports cards to his friends and a charity. How many sports cards did he keep?
OA 2,473
B.
2.527
OC. 1427
oD. 1527 help sos

Answers

Answer:1533

Step-by-step explanation:

7006-5,479=1533

. Which of the following is the graph of the equation y = 2x + 3?

Answers

Answer:

The graph of the equation y = 2x + 3 is a straight line that passes through the point (0,3) and has a slope of 2.

It can be represented as a set of points in a coordinate plane. The slope of the line is 2, so for every unit increase in x (horizontal coordinate), y (vertical coordinate) increases by 2 units. The y-intercept of the line is 3, so when x is 0, y equals 3.

A line passing through (0,3) with a slope 2 can be represented as (x, 2x + 3)

It is important to note that an equation in the form of y = mx + c, with m being the slope and c being the y-intercept, always represents a straight line in a coordinate plane.

Step-by-step explanation:


Name the triangle shortcut in the picture.
O SSS
OSAS
O ASA
O AAS
OHL
O cannot be determined

Name the triangle shortcut in the picture.O SSSOSASO ASAO AASOHLO cannot be determined

Answers

Answer:

Cannot be determined.

Step-by-step explanation:

Angle side side can not be used.

PLEAS HELP GRADE 9 MATH ( surface area ) NEED HELP ASAP!! how do I find the surface area of this cylinder?

PLEAS HELP GRADE 9 MATH ( surface area ) NEED HELP ASAP!! how do I find the surface area of this cylinder?

Answers

Answer:

1231.50432 \(m^{2}\)

Step-by-step explanation:

A=2πrh+2π\(r^{2}\)

h = 21 m

r = 7 m

A = 2π(7)(21) + 2π(\(7^{2}\))

A = 1231.50432 \(m^{2}\)

Solve the inequality: I will give brainliest. Explain in detail please!

p/8 ≥ -5

A.) p ≥ 40
B.) p ≥ 40
C.) p ≥ -13
D.) p ≥ -40

Answers

Answer:

plz give me BRAINLIEST

Step-by-step explanation:

c. p >-13

A jet flies 405 miles in 5 hours. At this rate. how far could the jet fly in 15 hours? PLS

Answers

Answer: 1215 miles

Step-by-step explanation:

405 miles in 5 hours is 81 mph so you multiply that mph by the amount of hours you want (15)  so 81 x 15 = 1215

Kiran says that 11 ¼ < -12.7 Do you agree with Kiran? Explain or show your reasoning.

Answers

Answer:

No it is false... Because negative number are smaller than positive number however possible numbers were very small

Answer:

No it is false... Because negative number are smaller than positive number however possible numbers were very small

Step-by-step explanation:

Determine whether the lines are parallel, perpendicular, or neither.
2x+y=6
y=1/2x−7

Answers

Answer:

Step-by-step explanation:

2x + y = 6

y = -2x + 6

Comparing this with y = 1/2x - 7

Multiplying the 2 slopes:

-2 * 1/2

= -2/2

= -1

- this means that the 2 lines are perpendicular.

Nicholas borrowed $4 from his mother each of the last three months . How much money do owe his mother?

Answers

Multiply 4 by 3 to represent the amount he borrowed to the amount of months he did this.  

4 x 3 = 12

So, he owes his mother 12 bucks.

Use multiplication to solve this.
4 times 3 = 12
Nicholas owes his mom $12

A research lab grows a type of bacterium in culture in a circular region. The radius of the circle, measured in centimeters, is given by begin mathsize 12px style r left parenthesis t right parenthesis space equals space 5 space minus space fraction numerator 6 over denominator t squared plus 3 end fraction end style, where t is time measured in hours passed since a circle of a 1cm radius of the bacterium was put into the culture. Express the area, A open parentheses t close parentheses, of the bacteria as a function of time, and find the approximate area of the bacterial culture in 4 hours.

Answers

The area of the bacterial culture, A(t), can be expressed as A(t) = π(5 - (6/(t^2 + 3)))^2. To find the approximate area after 4 hours, we substitute t = 4 into the expression and calculate the result.

The area, A(t), of the bacterial culture can be determined by substituting the given expression for the radius, r(t), into the formula for the area of a circle.

A(t) = πr(t)^2

Substituting the expression for r(t) into the equation:

A(t) = π(5 - (6/(t^2 + 3)))^2

To find the approximate area after 4 hours, we substitute t = 4 into the expression:

A(4) = π(5 - (6/(4^2 + 3)))^2

A(4) = π(5 - (6/(16 + 3)))^2

A(4) = π(5 - (6/19))^2

Now, let's calculate the numerical value:

A(4) ≈ π(5 - (6/19))^2

≈ π(5 - 0.3158)^2

≈ π(4.6842)^2

≈ π(21.9327)

≈ 69.0944 square units (approx.)

Therefore, the approximate area of the bacterial culture after 4 hours is approximately 69.0944 square units.

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someone pls help!
write the expression in radical form. 2 4/5

Answers

Answer:

  \(\sqrt[5]{2^4}\)

Step-by-step explanation:

Maybe you want 2^(4/5) in radical form.

The denominator of the fractional power is the index of the root. Either the inside or the outside can be raised to the power of the numerator.

  \(2^{\frac{4}{5}}=\boxed{\sqrt[5]{2^4}=(\sqrt[5]{2})^4}\)

__

In many cases, it is preferred to keep the power inside the radical symbol.

Find the 76th term of the arithmetic sequence 16, 14, 12, ...

Answers

Answer:

-134

Step-by-step explanation:

Answer:

-134

Step-by-step explanation

Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?​

Answers

Answer:

yes

Step-by-step explanation:

8² + 15² = 17²

64 + 225 = 289

289 = 289

a square is inscribed into a circle with radius a. find the dimensions of the square with the maximum area

Answers

Answer:

dimension=2a×2a

area=4a^2

Step-by-step explanation:

since the radius of the circle is a

Then l= 2a

area of a square =l^2

area=2a×2a

The following triangles are similar. Find x.
12
10
13.5
15
14

The following triangles are similar. Find x.121013.51514

Answers

Answer:

12.5

Step-by-step explanation:

joe is a wrestler and during his workouts he loses 2 pounds. how much water would he have to drink to replenish this water weight loss?

Answers

Answer:

36 ounces or if over 150 lbs drink more water than 36 ounces

Step-by-step explanation:

For every pound of sweat you lose you need to drink 16 ounces of water!

i need help can someone help

i need help can someone help
i need help can someone help
i need help can someone help
i need help can someone help
i need help can someone help

Answers

Answer:

Step-by-step explanation:

The distributive property is for example 3(2*4) the outside number multiplies everything inside the parenthesis. For the communitive, its like opposites, but they give the same answer, for example 4*5, 5*4. And for associative is like the distributive property, but not at the same time, for example,  (a*b)*c = a*(b*c) it has the numbers, but pluged in in another type of way


Hope this helps!

C is the midpoint of segment AB D is the midpoint of segment BC A is located at (4,8) and B is located at (-12,4) what are the coordinates of D

Answers

Answer:

coordinates of D are ( -8, 5)

Step-by-step explanation:

- the formula of the coordinates of the midpoint is (x1+x2)/2  & (y1+y2)/2

- first we find midpoint C by using coordinates of points A and B

C => (4 - 12)/2 & (8 + 4)/2

calculate, coordinates of C are ( -4, 6 )

- now find midpoint D by using the coordinates of B and C

D => ( -12 - 4 )/2 & (4 +6)/2

calculate and the coordinates of D are ( -8, 5 )

5 There are 150 men and 250 women in a crowd.
a What fraction of the crowd are men?
Write your answer in its simplest possible form.
b The ratio of married women to unmarried women is 3 to 2.
How many married women are in the crowd?
C More men arrive. The number of men increases by 20%.
How many men are in the crowd now?
d Some of the women leave.
There are now 60 women in the crowd.
What percentage of the women leave?

Answers

A: 150/400 (400 is the total men +women) simplifies to 3/8 which is the answer

Answer:

men=150

women=250

total=400

Step-by-step explanation:

a) fraction of men

men/total=150/400=15/40

men/total =3/8

b)let married be x

so unmarried wil be 250-x

married/unmarried=3/2

x / 250-x =3/2

x =3(250-x)/2

2x =750-3x

5x=750

x=750/5

x =150

married =150

unmarried=250-150=100

c)20% of men will be :20x150

100

: 30

no of men =150+20%

=150+30

=180

d)no. of women decreased=250-60

=190

percentage of women leaved=% x 250

100

190x100/250=%

76 =%

76% women leaved

It took too much time

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

DO FOLOW

Solving Equations Application

Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The

equation: S - 1.6x = 5.8 estimates the amount of sales (S) of statin in billions of

dollars . years after 1998.

Use this equation tO estimate the amount of sales of statins in the year 2011?

Sales of statin in the year 2011 was

billion dollars.

Answers

To estimate the number of sales of statins in the year 2011, we need to substitute the value of t = 13 (since 2011 is 13 years after 1998) into the given equation S - 1.6t = 5.8 and solve for S.

The equation is given, S - 1.6t = 5.8, estimates the amount of sales of statins in billions of dollars, t years after 1998. To estimate the number of sales in the year 2011, we need to substitute the value of t = 13 (since 2011 is 13 years after 1998) into the equation and solve for S.

Substituting t = 13, we get S - 1.6(13) = 5.8, which simplifies to S - 20.8 = 5.8. Solving for S, we get S = 26.6 billion dollars.

Therefore, the estimated amount of sales of statins in the year 2011 was 26.6 billion dollars.

In conclusion, the given equation can be used to estimate the sales of statins in any year t after 1998. To estimate sales for a specific year, substitute the value of t into the equation and solve for S.

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The combination locks on the lockers at Hillside School have numbers from 0 through 39 (inclusive). A locker combination consists of three different numbers, where the order matters. Because of the way the locks are manufactured, all three numbers are even or all three numbers are odd. How many combinations are possible

Answers

Answer:

13680

Step-by-step explanation:

Since we have number from 0 to 39 inclusive, there are 40 number all together.

Now there are 20 odd numbers and 20 even numbers since half of the the numbers are odd and half even.

Now, since we require 3 numbers for our locker combination which are either all even or all odd, the number of ways we can arrange 3 numbers from 20 when the order matters is ²⁰P₃ = 6480 ways for either odd or even numbers. So, for both odd and even numbers, we have the sum of even and odd number of ways ²⁰P₃ + ²⁰P₃ = 2 × ²⁰P₃ = 2 × 6480 = 13680. So, we have 13680 combinations of locks.

PLEASE HELP!!! Pleaseee!

PLEASE HELP!!! Pleaseee!

Answers

Answer:

a

Step-by-step explanation:

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