B is the midpoint of AC, D is the midpoint of CE, and AE = 11. Find BD.
A. 4.5
B. 5.5
C. 11
D. 22​

Answer:

812/1 = 1624/2 = 2436/3

= 3248/4 = 4060/5 = 4872/6

= 5684/7 = 6496/8 = 7308/9

= 8120/10 = 8932/11 = 9744/12

= 10556/13 = 11368/14 = 12180/15

= 12992/16 = 13804/17 = 14616/18

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The list tends to be much bigger.

Hope this helps!

Answer:

Step-by-step explanation:

Fractions equivalent to 8/12:

There is an infinite amount, but this is how far I can get.

Answer:

228 inches

Step-by-step explanation:

There are 12 inches in a foot.

19 × 12 = 228

Answer: the awnser will be 17.55$

Step-by-step explanation: cause you multiply 6.5 x 2.70

A toy company produces rubber balls that have a radius of 1.7 cm.

What is the volume of one rubber ball? Round to the

nearest hundredth of a centimeter.

20.58 cm3

If the price of the rubber needed to produce a ball is

$0.0045/cm3, what is the cost of producing one ball?

Round to the nearest cent.

If the company sells a ball for $0.50, how much profit

will it make on each ball?

$1.7 cm

20.58 cm^3, $0.09, $0.41

Hope this helps

Answer:

a) acute triangle

b) obtuse triangle

c) right-angled triangle

d) equilateral

e) isosceles, right-angled triangle

Step-by-step explanation:

Hope this helps!

⚘Refer to the attachment for solution!!~

The sample to be taken in each organization such as 2.6 in the taekwondo club, 5.3 in the math club, 8 in the drama club, and 4 in the science club.

Total members of taekwondo club = 20

Total members of math club = 40

Total members of drama club = 60

Total members of science club = 30

The researchers want to get 20 respondents out of these organizations.

The stratified sampling method is the process of dividing members of data into homogenous subgroups before sampling.

The total number of members = 150

For taekwondo club

= Total members of taekwondo club /total number of members × 20    

= 20/150 × 20    

= 2.6

For math club

= Total members of math club/total number of members×20

= 40/150 × 20  

= 5.3

For drama club

= Total members of drama club/total number of members × 20

=  60/150 × 20  

= 8

For science club

= Total members of the science club/total number of members × 20

= 30/150 × 20  

= 4

Therefore, The sample to be taken in each organization such as 2.6 in the taekwondo club, 5.3 in the math club, 8 in the drama club, and 4 in the science club.

Learn more about the stratified sampling method;

https://brainly.com/question/15604044?referrer=searchResults

Answer:

∠V = 12.68°

Step-by-step explanation:

In this question, we are tasked with calculating the value of the sine of ∠V to the nearest hundredth

Kindly note that since one of the angles in the triangle equals 90°, then we are dealing with a right-angled triangle.

PLEASE VIEW ATTACHMENT TO SEE THE DIAGRAM OF THE SHAPE

Mathematically, to calculate the sine of an angle in a triangle, the ratio to use is

Sine of an angle = length of side facing angle/length of hypotenuse = opposite/Hypotenuse

From the diagram, we can see that the length of the opposite is 9 while the length of the hypotenuse is 41

Sine V = 9/41

V = arcsin (9/41)

V = arcsin (0.2195)

V = 12.68° to the nearest hundredth

The value of the cosine of ∠V is 0.98

The given parameters are:

The cosine of V is calculated using:

cos(V) = WV/VU

So, the equation becomes

cos(V) = 40/41

Evaluate

cos(V) = 0.98

Hence, the value of the cosine of ∠V is 0.98

Read more about right triangles at:

https://brainly.com/question/2217700

a. The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

b. The inverse image of g(x) is [tex]g^{-1}(x) = e^{x}[/tex]

c. The inverse image of h(x) is h⁻¹(x) = x + 9

Since T = {x ∈ R : 0 ≤ [x^2 − 25} ⇒ x² - 25 ≥ 0

⇒ x² ≥ 25

⇒ x ≥ ±5

⇒ -5 ≤ x ≤ 5.

The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

f : R → R defined by f(x) = 3x³

Let f(x) = y.

So, y = 3x³

Dividing through by 3, we have

y/3 = x³

Taking cube root of both sides, we have

x = ∛(y/3)

Replacing y with x we have

y = ∛(x/3)

Replacing y with f⁻¹(x), we have

So,  the inverse image of f(x) is f⁻¹(x) = ∛(x/3)

The inverse image of g(x) is [tex]g^{-1}(x) = e^{x}[/tex]

g : R+ → R defined by g(x) = ln(x).

Let g(x) = y

y =  ln(x)

Taking exponents of both sides, we have

[tex]e^{y} = e^{lnx} \\e^{y} = x[/tex]

Replacing x with y, we have

[tex]y = e^{x}[/tex]

Replacing y with g⁻¹(x), we have

So, the inverse image of g(x) is [tex]g^{-1}(x) = e^{x}[/tex]

The inverse image of h(x) is h⁻¹(x) = x + 9

h : R → R defined by h(x) = x − 9

Let y = h(x)

y = x - 9

Adding 9 to both sides, we have

y + 9 = x

Replacing x with y, we have

x + 9 = y

Replacing y with h⁻¹(x), we have

So, the inverse image of h(x) is h⁻¹(x) = x + 9

Learn more about inverse image of a function here:

https://brainly.com/question/9028678

Answer:

x = 29/8

Step-by-step explanation:

7 - 5(2x - 9) = -(-6x + 10) + 4

7 - 10x + 45 = (6x - 10) + 4

-10x + 52 = 6x - 10 + 4

-10x + 52 = 6x - 6

52 + 6 = 6x + 10x

58 = 16x

x = 58/16 = 29/8

Answer:

Step-by-step explanation:

2)Cos²x - Sin² x = √2/2

Cos²x - Sin² x = Cos 2x

⇒ Cos 2x = √2/2

General solution for Cos 2x = √2/2 is

[tex]2x = \dfrac{\pi }{4}+2\pi n \ ; 2x=\dfrac{7\pi }{4}+2\pi n\\\\\\x = \dfrac{\pi }{2*4}+\dfrac{2\pi n }{2} \ ; \ x=\dfrac{7\pi }{4*2}+\dfrac{2\pi n}{2}\\\\\\x =\dfrac{\pi }{8}+\pi n ; \ x=\dfrac{7\pi }{8}+\pi n[/tex]

Option A

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

[tex]f(x)=5sin(\frac{x}{12})+14.5\\\\17=5sin(\frac{x}{12})+14.5\\ \\2.5=5sin(\frac{x}{12})\\ \\0.5=sin(\frac{x}{12})\\ \\\frac{x}{12}=\frac{\pi}{6}+2\pi n,\frac{5\pi}{6}+2\pi n\\ \\x=2\pi+24\pi n,10\pi+24\pi n[/tex]

Therefore, the fourth option is correct.

Problem 2

[tex]cos^2x-sin^2x=\frac{\sqrt{2}}{2}\\ \\cos(2x)=\frac{\sqrt{2}}{2}\\\\2x=\frac{\pi}{4}+2\pi n,\frac{7\pi}{4}+2\pi n\\ \\x=\frac{\pi}{8}+\pi n,\frac{7\pi}{8}+\pi n[/tex]

Therefore, the first option is correct.

Answer:

y=2.5x^2+102x+15.4

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

it goes downward if viewed left-right

Answer:

x = 0 ; x = -1 ; x = 5

Step-by-step explanation:

3x^3-12x^2-15x=0

-> 3x(x+1)(x-5)=0

-> 3x = 0 or x+1=0 or x-5=0

-> x = 0; x = -1 ; x = 5

Answer:

D. (0,-4)

Step-by-step explanation:

When you plug in 0 into the x and -4 into the y variable you get 2(0)-4(-4)>15.

Then you solve and get 0+16>15.

then you at and get 16>15.

16 is greater than 15 which makes D correct

The square root of 61 is about 7.81, so it lies in between the numbers 7 and 8.

Hope that helps!

Answer:

Step-by-step explanation:

LCM is least common multiple. It means the least multiple that both 100 and 120 have in common. 600 is the LCM. 20 is the GCF.

Answer:

The answer to the nearest CENT is A= 11699.69

Step-by-step explanation: round to the nearest cent

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4700\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ t=years\dotfill &19 \end{cases} \\\\\\ A=4700e^{0.048\cdot 19}\implies A=4700e^{0.912}\implies A\approx 11699.69[/tex]

Answer:

D)  P - 3

Step-by-step explanation:

"fewer than" a number means "less than" a number.  So "3 fewer than" means "subtract 3" from the number.

⇒ P - 3

Answer:

250 stickers

Step-by-step explanation:

125 plus 125 is 250

Answer:

250 stickers because 125x2=250

Answer:

27

Step-by-step explanation:

Base is 6 - (-3) = 9

height is 1 - (-5) = 6

so Area = 9 * 6/2 = 27

Answer:

OPTION B

Step-by-step explanation:

3sin(2x)=5cos(x)

3×(2sinxcosx)=5cos(x)

6sin(x)cos(x)=5cos(x)

6sin(x)cos(x)-5cos(x)=0 Factor out a cos(x)

cosx(6sinx-5)=0

Angles are the measures between two intersecting lines or rays

The relationship between angle QRS and angle SRT is the two angles are adjacent.

The given parameter is:

The sum of angle QRS and angle SRT = 90 degrees.

Complementary angles have a sum of 90 degrees.

This means that, angles QRS and SRT are complementary angles, and that can be adjacent angles

Read more about angles at:

https://brainly.com/question/17972372

Answer:

Step-by-step explanation:

it's a

Answer:

21

Step-by-step explanation:16+20/t, T=4 so its 16 + 20/4, 20/4 is 5, 16+5 = 21.

Answer: 1≤x<12

Step-by-step explanation:

The values that are greater than or equal 1 but less than 12 are values ranging from 1 to 11 i.e {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}. Note that 1 is included because the number is greater than or equal to 1 (1 included) and less than 12(12 not included).

x≥1 and x< 12

if x≥1, it means 1≤x

combining both inequality

1≤x and x<12

1≤x<12

The interval notation that represent the set S =  {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} will be given as S = {x: 1≤x<12}

Answer:

x = 1/2

Step-by-step explanation:

10^-3x * 10^x = 10^-2x = 10^-1

Answer:

red is 50% blue is 25%

Step-by-step explanation:

red is half the circle so it would be 50% and blue is half of a half so 25%

Answer:

20

Step-by-step explanation:

If 5 is 1/4, then multiply 5 by 4 to get 20

Hope this helps! :)
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