In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?

In The Diagram Below, BC Is An Altitude Of ABD. To The Nearest Whole Unit, What Is The Length Of CD?

Answers

Answer 1

Answer:

B. 23

Step-by-step explanation:

BC = 32

CA = 44

To find the length of CD, apply the altitude of right triangle formula, (altitude-on-hypotenuse theorem) which is given as:

h = √(xy)

Where,

h = CB = 32

x = CA = 44

y = CD = ?

Plug in the values

32 = √(44 × CD)

Square both sides

32² = 44 × CD

1,024 = 44 × CD

Divide both sides by 44

1,024/44 = CD

CD = 23 units (nearest whole unit)


Related Questions

the formula for finding the circumference of a circle with radius,r, is circumference= 2πr. What is the formula for the circumference of a circle with a radius r/2?

Answers

Answer:

πr

Step-by-step explanation:

radius = r/2

so circumference = 2π(r/2)

= 2πr/2

= πr

Answer:

The answer is B which is C=2πr

Step-by-step explanation:

i just did it

3. a) Why is X3 is a polynomial but
[tex] \frac{7}{x {}^{2} } [/tex]
, is not a polynomial? write in your words. ​

Answers

Answer:

because the power of variable is -2

Step-by-step explanation:

polynomials are a combination of constant and variable or only variable, being that power of variable is always positive natural no.

7/x^2 denotes 7x^-2

Find m∠F=....................
.................................
What would it equal??
m∠F= what is it???​

Answers

Answer:

45°

Step-by-step explanation:

[tex] \sin \: m\angle F = \frac{EG}{FG} \\ \\ \sin \: m\angle F = \frac{2 \sqrt{11} }{2 \sqrt{22} } \\ \\ \sin \: m\angle F = \frac{\sqrt{11} }{ \sqrt{22} } \\ \\ \sin \: m\angle F = \frac{1}{ \sqrt{2} } \\ \\ \sin \: m\angle F = \sin \: 45 \degree \\ \\ \huge \boxed{ \purple{m\angle F = 45 \degree }}[/tex]


PLZ HELP ME AND IF U CAN XPLAIN

Answers

Answer:

B. 1/2

Step-by-step explanation:

Slope formula = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]\frac{(-4)-(-8) }{(6)-(-2)}[/tex]

[tex]\frac{4}{8}[/tex]

[tex]\frac{1}{2}[/tex]

Flying against the wind, an airplane travels 3360 kilometers in hours. Flying with the wind, the same plane travels 7560 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

606.6 and 233.3 respectively

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*9=7560 and (x-y)*9=3360. Solving it, we get x=606.6 and y=233.3

Please answer all of these

Answers

Answer:

1a 300

b 180

c 330

d 1470

e 180

f 7344

Step-by-step explanation:

Find the missing segment in the image below

Answers

Answer:

Step-by-step explanation:

write your answer as an integer or as a decimal rounded to the nearest tenth​

Answers

Answer:Mark Brainliest please

Answer is 4.86 which is rounded to 5

Step-by-step explanation:

Cos 40 degree = VW/7

0.694 =VW/7

0.694 * 7 =VW

4.858 =VW

VW=4.86 is the answer

Slope - 9; through (6,-9)

Answers

Answer:

Y= -9x+45

y = -9 X + b

-9 = -9(6) + b

-9 = -54 + b

b=45

Step-by-step explanation:

 Solve each system by graphing.

Answers

9514 1404 393

Answer:

  (x, y) = (4, -4)

Step-by-step explanation:

A graphing calculator makes graphing very easy. The attachment shows the solution to be (x, y) = (4, -4).

__

The equations are in slope-intercept form, so it is convenient to start from the y-intercept and use the slope (rise/run) to find additional points on the line.

The first line can be drawn by staring at (0, -2) and moving down 1 grid unit for each 2 to the right.

The second line can be drawn by starting at (0, 2) and moving down 3 grid units for each 2 to the right.

The point of intersection of the lines, (4, -4), is the solution to the system of equations.

Simplify the given expression.

Answers

Answer:

8x-21

----------------------

(2x-7)(2x+7)

Step-by-step explanation:

7                       4

-----------   + ------------

4x^2 -49    2x+7

Factor  ( notice that it is the difference of squares)

7                       4

-----------   + ------------

(2x)^2 - 7^2    2x+7

7                       4

-----------       + ------------

(2x-7)(2x+7)    2x+7

Get a common denominator

7                       4(2x-7)

-----------       + ------------

(2x-7)(2x+7)    (2x-7)(2x+7)

Combine

7 +4(2x-7)

----------------------

(2x-7)(2x+7)  

7 +8x-28

----------------------

(2x-7)(2x+7)  

8x-21

----------------------

(2x-7)(2x+7)  

Answer:

(8x - 21) / (2x + 7)(2x - 7)

Step-by-step explanation:

7 / (4x^2 - 49)+ 4 / (2x + 7)

= 7 / (2x + 7)(2x - 7) + 4 / (2x + 7)

LCM = (2x + 7)(2x - 7)   so we have

(7 + 4(2x - 7) / (2x + 7)(2x - 7)

=   (8x - 21) / (2x + 7)(2x - 7).

If you draw one card at random, what is the probability that card is a (n) Heart?

Answers

Answer:

1/13

Step-by-step explanation:

There are 52 cards in a deck of cards and 13 of them are hears

P(heart) = hearts / total

              = 13/52 = 1/13

Add .003, 265.8, 83.04
and 1972

Answers

Answer: 2.320.843

Explanation: Calculator

PLEASE HELPPPPPPPPPPPPPP

Answers

Answer:

False

Step-by-step explanation:

To find the inverse of a function, switch the variables and solve for y.

The inverse of f(n)=-(n+1)^3:

[tex]y=-(n+1)^3[/tex]

[tex]n=-(y+1)^3[/tex]

[tex]\sqrt[3]{n} =-(y+1)[/tex]

[tex]\sqrt[3]{n} =-y-1[/tex]

[tex]\sqrt[3]{n} +1=-y[/tex][tex]-(\sqrt[3]{n} +1)=y[/tex]

[tex]-\sqrt[3]{n} -1=y[/tex]

Answer:

False

Step-by-step explanation:

What is the volume of a cylinder with a radius of 2 ft and a height of 8 ft.

Use 3.14 for pi, round your answer to the nearest hundredth if necessary, and do not include units.

Answers

Answer:

100.48

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = 3.14 ( 2)^2 * 8

V = 3.14 (4)(8)

V = 100.48

If the roots of ax² + bx + c = 0 differ by 3. Show that b² =9a² + 4ac​

Answers

Answer:

Step-by-step explanation:

Identify the coefficients for the following quadratic equation.

2x squared minus 9x equals negative 4

a =

b=

c=

Answers

Answer:

2

Step-by-step explanation:

the number before the x² is regarded as the identity element

F(x)=x+8;g(x)=x+2. Find f=g

Answers

Answer:

f(x) can not be equal to g(x)

Step-by-step explanation:

If the result is possible:

f(x) = g(x)

x + 8 = x + 2

x + 8 - (x + 2) = x + 2 - (x + 2)

6 = 0

Because 6 can't be equal to 0, so do f(x) can't be equal to g(x)

A company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed.

STANDARD DELUXE
STAMPING 3 6
Motor installation 10 10
Wiring 10 15

The standard models contribute $20 each and the deluxe $30 each to profits. Because the Company produces other items that share resources used to make the dishwashers, the Stamping machine is available only 30 minutes per hour, on average. The motor installation Production line has 60 minutes available each hour. There are two lines for wiring, so the time Availability is 90 minutes per hour. Let x = number of standard dishwashers produced per hour y = number of deluxe dishwashers produced per hour.

Required:
a. Write the formulation for this linear program and then solve.
b. What is the value of the optimal profit ?

Answers

Complete Question

Complete Question is attached below

Answer:

[tex]M=160[/tex]

Step-by-step explanation:

From the question we are told that:

Standard models contribute $20

Deluxe  models contribute $30

Availability Average :

Stamping machine S= 30 minutes per hour

Motor installation Production M=60 minutes

Wiring is W=90 minutes per hour

Generally the formulation of the linear program is given as

[tex]Maximium (M)=20x + 30 y[/tex]

Where

For Stamping machine

[tex]S= 3x + 6y \leq 30.....Equ 1[/tex]

For Motor installation Production

[tex]10x + 10y \leq 60....Equ 2[/tex]

For Wiring

[tex]10x + 15y \leq 90....Equ3[/tex]

Therefore

Solving Equ...(1,2,3) simultaneously we have

[tex]x=2\\\\y=4[/tex]

Therefore

[tex]Maximium\ (M)=20x + 30 y[/tex]

[tex]M=20(2)+30(4)[/tex]

[tex]M=160[/tex]

15. (x - 3)
If f(x) = 2x2 – 5, find the following.
16.fly-2)
17. f(a+h)-f(a)

Answers

Answer:

16. f(y-2) = 2(y-2)²-5

= 2(y²-4y+4)-5

= 2y²-8y+8-5

= 2y²-8y+3

17. f(a+h)-f(a) = 2(a+h)²-5-(2a²-5)

= 2(a²+2ah+h²)-5-2a²+5

= 2a²+4ah+h²-2a²

= h²+4ah

Ted and Katie have saved up a total of $94. Ted has saved 6 dollars less than 4 times as much as Katie. How much has Katie saved

Answers

Let

Kettie saved be xTed saved=4x-6

ATQ

[tex]\\ \sf\longmapsto x+4x-6=94[/tex]

[tex]\\ \sf\longmapsto 5x-6=94[/tex]

[tex]\\ \sf\longmapsto 5x=94+6[/tex]

[tex]\\ \sf\longmapsto 5x=100[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{100}{5}[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

Answer:

$20

Step-by-step explanation:

T is Ted

K is Katie

T+K=94.

T=4K-6

I mostly just tried a bunch of numbers.

To check:

T+20=94

T=74

74=4(20)-6

74=80-6

74=74

I hope this helps!

pls ❤ and give brainliest pls

How many titles are in the nth figure

Answers

3n+ 1 square tiles in the nth figure. Have a great day

0.14 converted as a fraction simplest form.​

Answers

Answer: 7 / 50

Step-by-step explanation:

Given

0.14

Convert to 100-denominator fraction

= 14 ÷ 100

= 14/100

Divide both numerator and denominator by 2

=(14 ÷ 2) / (100 ÷ 2)

=7 / 50

Hope this helps!! :)

Please let me know if you have any questions

If f(4x-15)=8x-27,find f(x)?

Answers

Answer:

If we put x=17/4

f(4×17/4-15)=8×17/4-27

f(2x=34-27

f(x)=7.

Hope i helped you.

If y = ax^2 + bx + c passes through the points (-3,10), (0,1) and (2,15), what is the value of a + b + c?

Answers

Hi there!

[tex]\large\boxed{a + b + c = 6}[/tex]

We can begin by using the point (0, 1).

At the graph's y-intercept, where x = 0, y = 1, so:

1 = a(0)² + b(0) + c

c = 1

We can now utilize the first point given (-3, 10):

10 = a(-3)² + b(-3) + 1

Simplify:

9 = 9a - 3b

Divide all terms by 3:

3 = 3a - b

Rearrange to solve for a variable:

b = 3a - 3

Now, use the other point:

15 = a(2)² + 2(3a - 3) + 1

14 = 4a + 6a - 6

Solve:

20 = 10a

2 = a

Plug this in to solve for b:

b = 3a - 3

b = 3(2) - 3 = 3

Add all solved variables together:

2 + 3 + 1 = 6

A rocket is launched at t = 0 seconds. Its height, in meters above sea-level, is given by the equation
h = -4.9t2 + 112t + 395.
At what time does the rocket hit the ground? The rocket hits the ground after how many seconds

Answers

Answer:

Step-by-step explanation:

In order to find out how long it takes for the rocket to hit the ground, we only need set that position equation equal to 0 (that's how high something is off the ground when it is sitting ON the ground) and factor to solve for t:

[tex]0=-4.9t^2+112t+395[/tex]

Factor that however you are factoring in class to get

t = -3.1 seconds and t = 25.9 seconds.

Since time can NEVER be negative, it takes the rocket approximately 26 seconds to hit the ground.

p(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).

Answers

Answer:

The polynomial is:

[tex]p(x) = -x^3 - 2x^2 + 5x + 6[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that [tex]x_1 = -3, x_2 = -1, x_3 = 2[/tex]. Thus

[tex]p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]

[tex]p(x) = a(x - (-3))*(x - (-1))*(x-2)[/tex]

[tex]p(x) = a(x+3)(x+1)(x-2)[/tex]

[tex]p(x) = a(x^2+4x+3)(x-2)[/tex]

[tex]p(x) = a(x^3+2x^2-5x-6)[/tex]

Passes through the point (1,12).

This means that when [tex]x = 1, p(x) = 12[/tex]. We use this to find a.

[tex]12 = a(1 + 2 - 5 - 6)[/tex]

[tex]-12a = 12[/tex]

[tex]a = -\frac{12}{12}[/tex]

[tex]a = -1[/tex]

Thus

[tex]p(x) = -(x^3+2x^2-5x-6)[/tex]

[tex]p(x) = -x^3 - 2x^2 + 5x + 6[/tex]

Help due today
No links

Answers

Answer:

-6

Step-by-step explanation:

Answer:

[tex]24 + x = 13 \\ x = 13 - 24 \\ x = - 11 \\ thank \: you[/tex]

Geometry help I don’t know any of this stuff!!

Answers

Answer:

radius chordsecant linecenterpoints of tangency circumference

A car travels 630 miles in 14 hours. At this rate, how far will it travel in 42 hours?

Answers

Assuming the car's speed [tex]\frac{630}{14}=45\mathrm{mph}[/tex] does not change, the car will travel [tex]45\cdot42=\boxed{1890}[/tex] miles.

Hope this helps :)

Other Questions
how to determine proofs A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 5) and (4, 10).The graph shows the height of a tree over time. What can you deduce the rate of change to be from 2 years to 4 years ?2 inch per year2.5 inches per year5 inches per year10 inches per year How does data analytics play a vital role in todays business world? Multiple Choice By allowing data to be organized into predefined tables and fields. By defining three main categories of classes that help organize a companys data structure models. By examining data to generate models for predictions of patterns and trends. By capturing the ever-increasing transaction activity of large companies. 2/3 8/9 with explanation and steps... Find the area of the region that is enclosed between the curves y = x2 andy = x + 6. Is the graph increasing, decreasing, or constant? +3 A. Increasing B. Decreasing C. Constant Describe how first Aid will be given a lictim under the following accidents at work Shop. Chemical barns Electric shock Fire burns Making a Decision as Chief Financial Officer: Contingent LiabilitiesFor each of the following situations, determine whether the company should (a) report a liability on the balance sheet, (b) disclose a contingent liability, or (c) not report the situation. Justify and explain your conclusions.1. An automobile company introduces a new car. Past experience demonstrates that lawsuits will be filed as soon as the new model is involved in any accident The company can be certain that at least one jury will award damages to people injured in an accident.2. A research scientist determines that the companys best-selling product may infringe on another companys patent. If the other company discovers the infringement and suit, your company could lose millions.3. As part of land development for a new housing project, your company has polluted lake. Under state law, you must clean up the lake once you complete development project will take five to eight years to complete. Current estimates indicate it will cost $2 to $3 million to clean up the lake.4. Your Company has just been notified that it lost a product liability lawsuit for $1 million that it plans to appeal. Management is confident that the company will on appeal, but the lawyears belive that it will lose.5. A key customer is unhappy with the quality of a major construction project. The company belives that the customer is being unreasonable but, to maintain goodwill, has decided to do $250,000 in next year. Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes? The U.S. Supreme Court will not issue a writ of certiorari unless at least____________justices approve of it. Third-Party Woes. Trudy owed Sam $40 for a book she purchased from him. Trudy mowed Betty's yard for $40 and agreed with Betty that Betty would pay Sam for the book. Sam is not initially aware of the agreement. Betty pays no one. Trudy also mowed Bob's yard for $40 in return for Bob's agreement to give the payment to Sally representing Trudy's birthday present to Sally. Bob later refuses to do so saying that promises to give gifts are not enforceable. He then moves out of town. Trudy tells both Sam and Sally that she is broke, that Sam needs to get his $40 for the book from Betty, and that Sally is owed $40 from Bob for her birthday present. Which of the following is the likely result if Sam sues Betty for the $40 that Trudy owes him for the book? A. Sam will win. B. Sam will lose because his only right of action is against Trudy. C. Sam will lose because he was not aware of the assignment before the duties were completed. D. Sam will win, but only if he can prove that Trudy has insufficient funds with which to pay him. E. Sam will lose because the attempted delegation was against public policy. Think of 5 positive integers that have a mean, median, mode, and range of 6. Hi, Friends, please help me solve this problem.Q. terms of a geometric sequence are found by the formula Tn = ar n-1 If a = 3 and r = 2 , find the 4 terms of the sequence. Marcus and his classmates are discussing a novel in class. Which discussion observations most suggest thatMarcus has prepared before presenting his point of view to the group? Select two options.Marcus has strong opinions about the novel.Marcus is polite and waits for his turn to speakMarcus has brought the novel to use as a reference.Marcus often agrees with other students viewpointsMarcus supports his opinions with evidenlling from the text. The average U.S. worker is MOST likely to hold about _____ jobs between the ages of 18 and 25. Please choose the correct answer from the following choices, and then select the submit answer button. three two seven five a student weighs 1200N they are standing in an elevator that is moving downwards at a constant speed of Departmental information for the four departments at Samoa Industries is provided below. Total Cost Cost Driver Square Feet Number of EmployeesJanitorial $150,000 Square footage serviced 200 40 Cafeteria 50,000 Number of employees 20,000 12 Cutting 1,125,000 4,000 120 Assembly 1,100,000 16,000 40 The Janitorial and Cafeteria departments are support departments. Samoa uses the sequential method to allocate support department costs, first allocating the costs from the Janitorial Department to the Cafeteria, Cutting, and Assembly departments.1. Determine the dollar amount of the Janitorial Department costs to be allocated to the:a. Cafeteria Department b. Cutting Department2. Determine the dollar amount of the Cafeteria Department costs to be allocated to the:a. Cutting Department b. Assembly Department find perimeter of the semicircular region [tex]y = x {}^{2} - 9x + 14[/tex]Given that y can be written in the form [tex](x + a) {}^{2} + b[/tex], where a and b are constants, find the value of a and the value of b.pls help i rly need this Pls pls pls pls How is it possible for mad made things to move?