In the circle below, diameter CD is perpendicular to chord AB as shown. Radii OB and OA are drawn.

(a) How could we prove that OEB is congruent to OEA? Explain.




(b) What does your answer tell you must be true about segments AE and BE ? Why?


(c) If the diameter of circle O is 20 and CE  4, then determine the length of AB . Show how you arrived at your answer.

Answer:

A

Step-by-step explanation:

In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Answer:

10488

Step-by-step explanation:

fist find the volume of the triangle prism and regtangle prism

21*23*16/2 (triangular prism) plus 18*23*16 (regtangular prism)

Answer:

75.5

Step-by-step explanation:

The correct height of the flower basket above the ground is 75.5 inches.

To determine the height of the flower basket above the ground, we can use trigonometry. The camera forms a 25 ° angle of elevation with the flower basket, and the distance from the camera to the base of the rod is given as 72 inches. We also know that the camera is positioned 42 inches above the ground.

We can use the tangent function, which relates the angle of elevation to the opposite side (the height of the flower basket above the camera's height) and the adjacent side (the horizontal distance from the camera to the rod).

Let's denote the total height of the flower basket above the ground as h, and the height of the camera above the ground as [tex]h_c[/tex] = 42 inches. The height of the flower basket above the camera is then [tex]\( h - h_c \)[/tex].

Using the tangent function:

[tex]\tan(25\°) = \frac{\text{opposite}}{\text{adjacent}}[/tex]

[tex]= \frac{h - h_c}{72}[/tex]

We can solve for h:

[tex]\[ h - h_c = 72 \times \tan(25\°) \][/tex]

[tex]\[ h = 72 \times \tan(25\°) + h_c \][/tex]

Now we calculate the value of tan(25°) and substitute the known values:

[tex]\[ h = 72 \times \tan(25\°) + 42 \][/tex]

Using a calculator, we find that 25° is approximately 0.4663. Plugging this value into the equation gives us:

h = 72 x 0.4663 + 42

h = 33.5 + 42

h = 75.5

Therefore, the flower basket is approximately 75.5 inches above the ground.

Answer:

5r

Step-by-step explanation:

12−

1

5r

=

60r−1

5r

To solve the equation 12 - 1/5r = 2r + 1 for r, isolate the variable r on one side of the equation. The equation simplifies to 5 = 1, which is not possible. Therefore, there is no solution for r in this equation.

To solve for r in the equation 12 - 1/5r = 2r + 1, we will isolate the variable r on one side of the equation.

Step 1: Combine like terms by adding 1/5r to both sides of the equation:

12 - 1/5r + 1/5r = 2r + 1 + 1/5r

12 = 2r + 1 + 1/5r

Step 2: Combine like terms by subtracting 1 from both sides of the equation:

12 - 1 = 2r + 1 - 1 + 1/5r

11 = 2r + 1/5r

Step 3: Combine like terms by finding a common denominator for the terms involving r:

11 = (10r + r)/5r

Step 4: Simplify the equation:

11 = (11r)/5r

Step 5: Multiply both sides of the equation by 5r to eliminate the denominator:

11 * 5r = 11r

55r = 11r

Step 6: Divide both sides of the equation by 11 to solve for r:

55r/11 = 11r/11

5r = r

Step 7: Divide both sides of the equation by r:

5r/r = r/r

5 = 1

No solution exists for this equation.

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Answer:

nice

Step-by-step explanation:

mhm thats very nicee

Answer:

[tex]\displaystyle V = 36 \pi[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Integrals

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Volume of Revolution Formula [y-axis]:                                                               [tex]\displaystyle V = \pi \int\limits^b_a {r^2} \, dy[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = 4(3 - x)

y = 0

x = 0

Step 2: Redefine

Rewrite (Revolving around y-axis)

Step 2: Find Bounds of Integration

See attachment

Look at y-values, right to left.

Bounds: [0, 12]

Step 3: Find Volume

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Applications of Integration

Book: College Calculus 10e

Answer:

A

Step-by-step explanation:

Multiply 6 by 2/3 =4... Less than 6

Answer:

a is correct

Step-by-step explanation:

hope it help

Answer:

False - Linear is a proportional relationship as it is a straight line.

False.

False. A proportional relationship is linear. In a proportional relationship, when one variable increases or decreases, the other variable also increases or decreases at a constant rate. This results in a straight-line graph passing through the origin (0,0). In contrast, a non-linear relationship does not exhibit constant rate of change and does not form a straight line when graphed.

Complete correct question:

True or False

A proportional relationship is non- linear.

Answer:

3/8

Step-by-step explanation:

So, three outcomes give two heads and a tail (HHT, HTH, THH). Therefore, the probability of getting two heads and a tail is 3/8.

Answer:

3/8

Step-by-step explanation:

The possible outcomes are

HHH HHT HTH HTT

TTT TTH THT THH

where H is heads and T is tails

We want one head and two tails

HTT,TTH THT

There are 3 choices that fit

P ( one head and two tails is)= number of one head two tail/ total

                                                = 3/8

Answer:

$1.57

Step-by-step explanation:

2.09 × 3/4 = 1.5675, rounded to 1.57

Answer:

I believe the answer is $1.57 about. The answer is longer but that is rounded.

Step-by-step explanation:

I just did 3/4 times 2.09 and got 1.57 because if a whole pound is 2.09 then 3/4 times the whole pound would give you 3/4 of the price.

Answer:

9.85

Step-by-step explanation:

Because you need to find the mean by doing (14.5+5.2)/2

Answer:

the middle no is 7.25

14.5/3= 7.25

414 rupees

98942 is the accurate answer

Step-by-step explanation:

when the retailer buys the product, its price would be

480-[480*25/100] = 480-120 = 360 rupees.

if the retailer wants to sell it at a profit of 15%

360+[15/100*360] = 360+54 =414 rupees

Answer:

Step-by-step explanation:

A perpendicular bisector is a line segment that goes form a vertex to its opposite side. The important characteristic is that a perpendicular bisector intersects the opposide at the mid point and with a right angle, that's why is called perpendicular and bisector.

So, Andrew can conclude that side BC is divide equally, that is, BD = DC.

Therefore, the right answer is the second choice.

Based on the given information after drawing the triangle Andrew can conclude only  BD = DC.

Use the concept of triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Given that,

Andrew draws triangle ABC.

He constructs a perpendicular bisector from vertex A.

The perpendicular bisector intersects side BC at point D.

Based on Andrew's drawing,

He can conclude that BD is equal to DC.

The perpendicular bisector from vertex A divides side BC into two equal parts, making BD and DC congruent.

However, Andrew cannot conclude that AB is equal to BC,

AD is equal to BC, or AC is equal to BC based on the given information.

Hence,

For this triangle Andrew can conclude only BD = DC.

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Answer:

112 if you don't include the triangle sides as they are not necessary, but 124 if you include one triangle and 136 if you include both triangle sides

The surface area of the region he will paint is 900 sq.ft.

Step-by-step explanation:

Cubical room measures - 15 ft

Chaz want  to paint only the walls of room

Surface of painting region means Lateral surface area (excluding top and bottom)

Lateral surface area of cube = [tex]4a^2[/tex]      

 ⇒ 4 * 15 *15

 ⇒  900 sq.ft

  The surface area of the region he will paint is 900 sq.ft.

Answer:

First one:

Both the mean and median are greater for Plot A than for Plot B

Step-by-step explanation:

Set A:

Mean:

[1×10 + 2×7 + 2×6 + 2×5 + 2×4 + 1×3]/10

= 5.7

Median:

Median position: (10+1)/2 = 5.5th value

(5+6)/2

Median = 5.5

Set B:

Mean:

[1×7 + 3×6 + 3×5 + 2×4 + 1×3]/10

= 5.1

Median:

Median position: (10+1)/2 = 5.5th value

(5+5)/2

Median = 5

Mean: A is greater

Median: A is greater

This is not for this exact question, but I realized there was no answer to: Which statement correctly compares the measures of center of the data in the dot plots?

Answer:

C: The mode is greater for Mrs. Ramos’s class.

Step-by-step explanation:

edg2020

Answer:

Step-by-step explanation:

Answer:

$312,423.90

Step-by-step explanation:

Answer:

312,423.90

Step-by-step explanation:

Correct is b

Answer:5(1.5) + 1.5(15)

=7.5 +22.5

=30

Answer:

5(1/5)+ 1/5(15) = 1 + 3 =4

Answer:

A. 15, 20, 25.

Step-by-step explanation:

25^2 = 625

20^2 = 400

15^2 = 225.

Now 625 = 400 + 225 = 625 so it is choice A.

Answer:

All real numbers

Step-by-step explanation:

Distribute the 4 on the left side

4(2x-5)=5x-20+3x

8x-20=5x-20+3x

Combine like terms on the right side

8x-20=8x-20

All real numbers are solutions, because both sides are equal

Hope this helps! :)

Step-by-step explanation:

First we will multiply 24 by 1 = 24 we have to find the factors of 24 that may add or subtract = 2

So

r2 - 6t + 4t - 24

r2 - 6t + 4 ( t - 6)

So the factors are ( r2 - 6t + 4) and (t - 6)

Answer:

if its select all that apply then its B,C,E

Step-by-step explanation:

There are different types of triangle and they include:

This refers to a plane figure with three vertices with three straight sides and creates an angle.

Please note that your question is incomplete so I gave you a general overview to give you a better understanding of the concept.

Read more about triangles here:

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Answer:

14.95

Step-by-step explanation:

Use a median calculator

Final answer:

To find the number in the middle of 8.6 and 21.3, you calculate their average by adding them together and dividing by two, resulting in 14.95.

Explanation:

To calculate the number in the middle of 8.6 and 21.3, we need to find the average of these two numbers. To do this, you add the two numbers together and then divide by two.

The calculation is therefore: (8.6 + 21.3) / 2.

Adding 8.6 and 21.3 gives us 29.9, and dividing 29.9 by 2 gives us 14.95. So, 14.95 is the number in the middle of 8.6 and 21.3.

Answer:

12 miles

Step-by-step explanation:

Answer:  11

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

a=\text{starting value = }550

a=starting value = 550

r=\text{rate = }18.8\% = 0.188

r=rate = 18.8%=0.188

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.188=0.812

b=1−r=1−0.188=0.812

\text{Write Exponential Function:}

Write Exponential Function:

y=550(0.812)^x

y=550(0.812)  

x

Put it all together

\text{Plug in y-value:}

Plug in y-value:

60=550(0.812)^x

60=550(0.812)  

x

\frac{60}{550}=\frac{550(0.812)^x}{550}

550

60

​  

=  

550

550(0.812)  

x

​  

Divide both sides by 550

0.109091=0.812^x

0.109091=0.812  

x

\log 0.109091=\log 0.812^x

log0.109091=log0.812  

x

Take the log of both sides

\log 0.109091=x\log 0.812

log0.109091=xlog0.812

use power rule to bring x to the front

\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}

log0.812

log0.109091

​  

=  

log0.812

xlog0.812

​  

Divide both sides by log(0.812)

10.638757=x

10.638757=x

x\approx 11

x≈11

Answer:

x\approx 11

x≈11

Answer:

a^-7

Step-by-step explanation:

you would subtract the powers

-13 - -6 = -7

Answer:

1/a^19 (1 over a to the 19th power)

Step-by-step explanation:

when you divide, you subtract the exponents. -13 minus -6 is -19. when its a negative, you put it positive over 1. hope this helps :)

work:

a^-13/a^-6= a^-19

a^-19 --> 1/a^19

*****this is wrong, answer is 1/a^7

Answer:

A) 4

B)-110

C) 16

Step-by-step explanation:

If you need to know how to solve it I'm here to help!

:)

Answer:

$241.58

Step-by-step explanation:

he amount of money A, accrued at the end of n years when a certain amount, P is invested at a compound annual rate, r, is given by:

[tex]A=P(1+r)^n[/tex]

From the given information:

P =$150

r=10%=0.1

n= 5 years

Therefore the balance after 5 years is:

[tex]A=P(1+r)^n\\=150(1+0.1)^5\\=150*1.1^5\\=\$241.58[/tex]

The balance of the account after 5 years, with an initial investment of $150 and an annual interest rate of 10%, compunded annually, would be approximately $241.58.

To find the balance of the investment after 5 years, we substitute the values into the given formula. P is the principal amount which is $150, r is the annual interest rate which is 10% or 0.10 in decimal form, and n is the number of years which is 5. So the formula becomes A = $150 * (1 + 0.10)^5.

To simplify, calculate 1 + 0.10 to get 1.1. Then raise 1.1 to the power of 5 to get 1.61051. Multiply that by $150 to get approximately $241.58. So, the balance of the investment after 5 years would be approximately $241.58.

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