A beam of light is transmitted through a medium with an index of refraction of 1.46. What is the speed of the light beam as it travels through the medium?

Answer:

24 = AE

How to find it

AB = 26 and BD = 20 find AE

Because its a rhombus point is the midpoint of BD so BE is 1/2 BD so BE is 10

Now we no longer need to use BD and instead we use BE

Now since ∠BEA is 90° we can use the Pythagorean Theorem

AB²-BE²=AE²

26²-10²=AE²

676-100=AE²

576=AE²

[tex]\sqrt{576}[/tex]=AE

24 = AE

Answer:

Height of the cone = 4 m

Step-by-step explanation:

Given:

Volume of a cube = (12π) m^3

Radius of the cone = (6/2) m = 3 m

We have to find the value of "x".

And "x" is the height of the cone from the figure shown.

Formula to be used:

Volume of the cone:  1/3(πr^2h)

Here height = "x"

⇒ [tex]V_c_o_n_e=\frac{\pi r^2 h}{3}[/tex]

⇒ [tex]V_c_o_n_e=\frac{\pi r^2 x}{3}[/tex]

⇒ [tex]3\times V_c_o_n_e=\frac{\pi r^2 x}{3}\times 3[/tex]

⇒ [tex]3\times V_c_o_n_e=\pi r^2 x[/tex]

⇒ [tex]\frac{3\times V_c_o_n_e}{\pi r^2} =\frac{\pi r^2\times x}{\pi r^2}[/tex]

⇒ [tex]x=\frac{3\times V_c_o_n_e}{\pi r^2 }[/tex]

⇒ [tex]x=\frac{3\times 12\pi }{\pi (3)^2 }[/tex]

⇒ [tex]x=\frac{36\pi }{9\pi }[/tex]

⇒ [tex]x=\frac{36}{9}[/tex]

⇒ [tex]x=4[/tex] meters.

The height of the cone "x" = 4 meters option A is the right choice.

1. 130 2/3 ft3

2. 226 in.3

3. 33 cm3

4. 4 m

5. 15 m

Answer:

the first part is distant outlier, i got the other two wrong tho :,(

Answer:

spread out from and larger

Step-by-step explanation:

hope it helps

Answer:

Step 1

Step-by-step explanation:

Trent multiplied one side of the equations by 3 but multiplied the other side of the equation by 1/3.  

Trent should have multiplied both sides of the equation by 3 to isolate g.

Trent's mistake is in step 2 of their solution where they incorrectly multiplied by different values.

Trent's mistake lies in step 2 of their solution. They incorrectly multiplied the numerator and denominator of &frac43 by &frac13. To solve the equation correctly, the numerator and denominator of &frac43 should be multiplied by the same value, which in this case is 3. The correct step would be to multiply &frac43 by 3, resulting in &frac49.

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Answer:

It's false, this number is a rational number.

Step-by-step explanation:

It's false, the kind of decimal where the same digits repeats forever are known as periodic decimals and they can be represented with fractions therefore they are a part of the rational numbers. To represent this number in a fraction form we need to first identify the part that repeats, in this case it's 7, since it's only one number we can insert it in the numerator and the denominator will have a 9, if it were two numbers the denominator would have a 99 and so on. So in this case:

7/9 = 0.7777...

The statement is false. The number 0.7777 repeating is not an irrational number, but a rational number, as it can be expressed as the fraction 7/9.

The statement is false. The number 0.7777 repeating is not an irrational number. An irrational number is a number that cannot be expressed as a/b, where a and b are integers and b ≠ 0. However, the number 0.7777 repeating can be expressed as a fraction, specifically, as 7/9. Therefore, it does not meet the definition of an irrational number and is, in fact, a rational number.

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Answer:

Step-by-step explanation:

(3 x 9) + (5 + 8) + (33/3) = 51

   27   +     13    +    11     = 51

Answer:

51

Step-by-step explanation:

use PEMDAS

Final answer:

Volume of a prism is represented in cubic units as length x width x height. The SI unit of volume is cubic meter (m³) and a common unit is the liter (L), equivalent to a cubic decimeter (dm³).

Explanation:

Volume is defined as the amount of space occupied by a solid in cubic units, and for a prism that is length x width x height. In the case of volume, it goes like length cubed, represented as V = L³.

The SI unit of volume is cubic meter (m³), equal to the space occupied by a cube of 1m on each edge. A more commonly used unit of volume is the liter (L), which is equivalent to a cubic decimeter (dm³).

Answer:

A = 9.9648

Step-by-step explanation:

if the triangle is equilateral =>

P = 3L => L = 14.4/3 = 4.8

A = L²√3/4

= (4.8)²√3/4

= 23.04√3/4

= 5.76×1.73

= 9.9648

Answer:

c

Step-by-step explanation:

If there are 100 cards and you can only pick numbers less then 12, you then could only have a number between 1 and 11

Answer:

its c

Step-by-step explanation:

Answer:in 2 + in a - in b

Step-by-step explanation: edge 2021

The expanded form is ln(2) + ln(a) - ln(b) of the expression  ln(2a/b).

An expression is combination of variables, numbers and operators.

Using the properties of logarithms

log(a/b)=loga-logb

we can expand ln(2a/b) as follows:

ln(2a/b) = ln(2a) - ln(b)

Now we use the property log(ab)=loga+logb

ln(2a) = ln(2) + ln(a)

we can substitute this in the above equation:

ln(2a/b) = ln(2) + ln(a) - ln(b)

Therefore, the expanded form of expression ln(2a/b) is ln(2) + ln(a) - ln(b).

To learn more on Expressions click:

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Answer: 134 cookies

Step-by-step explanation: First we want to find the total amount of cookies Brain bought. Simply multiply 14 x 9 to find the total amount of cookies bought.

14 x 9 = 126 cookies.

Since Brian already had 8 cookies in the jar, we will simply add the new amount of cookies he bought to the cookies in the jar left.

126 + 8 = 134 total cookies that Brain has now.

The answer is Two column proof

Answer:

-10

Step-by-step explanation:

9^-8 x 9^-2 = a^b

We know that x^y * x^z = x^(y+z)

9^-8 x 9^-2 = 9^(-8+-2) = 9^(-10)

a= 9  

b = -10

Step-by-step explanation:

Given

Now arranging in ascending order

7 , 12 , 13, 24 , 24

No of data (N) = 5

Now

Position of Median

= ( N+1) / 2 th item

= (5+1)/2 th item

= 3rd item

So Now

Exact Median = 13

Answer:

≈ 1.37 * [tex]10^{13}[/tex]

Step-by-step explanation:

Given the exponental function is:

F(x) =  200*[tex]2^{x}[/tex] where:

How many crickets will there be after three years?

3 years = 12*3 = 36 so x = 36. Substitute x into the function we have:

F(x) = 200*[tex]2^{36}[/tex] ≈ 1.37 * [tex]10^{13}[/tex]

So the number of crickets after three years is: ≈ 1.37 * [tex]10^{13}[/tex]

Answer:  There will be 1.37 x 10^13  crickets after 3 years.

Step-by-step explanation:

Hi, to answer this question we simply have to replace x in the formula by the number of months in 3 years.

f (x) = 200 (2^x)

Where x is the number of months

Since one year has 12 months,

for 3 years: 3 x 12 = 36 months

Substituting  x= 36 on the function

f (36) = 200 (2^36)

f (36) = 200 (2^x)

f(36) = 1.37 x 10^13

Feel free to ask for more if needed or if you did not understand something.

Answer:

6, 27, 45, 279.

Based on arranging the height of candles in ascending order are:

The correct order of the candles from shortest to tallest would be:

6 in.

27 in.

45 in.

279 in.

the giraffe is 18 feet tall.

Final answer:

The probability that both marbles chosen are blue is 1/6. This is calculated by multiplying the probability of drawing a blue marble on the first and second draws consecutively (4/9 × 3/8).

Explanation:

To calculate the probability that Lena chooses two blue marbles in a row from a bag containing 3 green, 2 red, and 4 blue marbles without replacement, we must consider two consecutive events. The probability of pulling one blue marble on the first draw is 4 out of 9, since there are 4 blue marbles out of a total of 9. After the first blue marble is drawn, there are now only 3 blue marbles left out of a total of 8 marbles (since one was not replaced). The probability of drawing a blue marble on the second draw is therefore 3 out of 8.

These two probabilities must be multiplied together to find the overall probability of both events occurring in sequence:

Probability of first blue marble = 4/9

Probability of second blue marble after the first is drawn = 3/8

Overall probability = (4/9) × (3/8) = 1/6

So, the probability that both marbles Lena chooses are blue is 1/6, which is already in its simplest form.

Answer:

X = 48

Step-by-step explanation:

When you type sin(42) in your calculator it will give you something around 0.669.

If you try reverse sinus sin-1(0.669) it will give you 42.

Therefore you can say that:

Cos(x) = 0.669

So you can reverse the cos to get your answer

Cos-1(0.669) = 48

Or

Cos-1 (sin(42))

Answer:

a. 7/10

b. 79/240

Step-by-step explanation:

Please see the attached files for details

Answer:

a) 0.70

b) 0.925

You are right and your friends are wrong.

Step-by-step explanation:

- 65 adults and 15 children in a movie theater

- 41 adults and 6 children bought popcorn

Number of children in the theatre = 15

Number of adults in the theatre = 65

Number of children that bought popcorn = 6

Number of children that did not buy popcorn = 15 - 6 = 9

Number of adults that bought popcorn = 41

Number of adults that did not buy popcorn = 65 - 41 = 24

Total number of persons that bought popcorn = 41 + 6 = 47

Number of people that did not buy popcorn = 80 - 47 = 33

Total number of persons in the theatre = 65 + 15 = 80

a) The probability that a randomly selected person in the theater is a child or someone who bought popcorn.

Required probability

= (number of children or people that bought popcorn) ÷ (total number of people)

There 15 children, and 47 people that bought popcorn, but of the 47, there are still 6 children amongst them.

Hence, the number of children or people that bought popcorn = 15 + 47 - 6 = 56

Total number of people = 80

Required probability = (56/80) = 0.70

b) The probability that a randomly selected person is an adult or someone who did not buy popcorn.

Required probability

= (number of adults or people who did not buy popcorn) ÷ (total number of people)

There are 65 adults, and 33 people that did not buy popcorn, but of the 33, there are still 24 adults amongst them.

Hence, the number of adults or people who did not buy popcorn

= 65 + 33 - 24 = 74

Total number of people = 80

Required probability = (74/80) = 0.925

You are right and your friends are wrong.

Hope this Helps!!!

Answer:

a.) (-16,0)(0,12)

b.) (-3,0)(0, 3/2)

Step-by-step explanation:

Plug it in for each.

y= 3/4x+12 (Lets plug in our x intercept of (x,0) and our y intercept of (0,y)

x-intercept

0=3/4x+12

-12        -12

-12=3/4x

-12/(3/4)=x

-16=x

SO, your x intercept is -16 which is point (-16, 0)

Now to do your y intercept in lets plug x in as 0 instead this time:

y = 3/4(0)+12

y = 12

Your y intercept is 12

Now for b its the same process of plugging 0 in for the values let

y-int=-2(0)-4y+6=0

                      -6  -6

                       -4y/-4=-6/-4 <- divide both sides by 4

                              y = 3/2 <- Simplified answer

y int = (0, 3/2)

x-int = -2x-4(0)+6 = 0

                       +6   +6

                       -2x = 6

                           x = 6/-2 <-- Divide both sides by -2

                           x = -3     <-- Simplify

x-int = (-3, 0)

Answer:

Every third member of the club in her physical educations class

Step-by-step explanation:

The reasoning behind this is because if Millie surveys her club members who are hosting the school play, she wouldn't be able to get an accurate average number of tickets sold because the club member have a bias in terms of purchasing the tickets as they run the club. Meanwhile the physical education class has a more random assessment because every third person in the class may or may not have an interest in the play the same way the club would.

Answer:The answer is

Neither sample will be representative. B on edge

Step-by-step explanation:):):):):):):):):):) I GOT IT RIGHT

[tex]\dfrac{1}{4} =0,25\\\dfrac{7}{10} =0,7\\\dfrac{1}{4} +\dfrac{7}{10}=0,25+0,7=0,95[/tex]

Answer:

27

Step-by-step explanation:

When looking for the volume of a prism you multiply the base and height to get the volume. When looking for the volume of a pyramid of the same base and height all you need to do is multiply .333 or 1/3 in decimal form to get the correct answer.

The volume of the prism: (3)(3)(9) = 81

The volume of the pyramid: (1/3 or .333)(3)(3)(9) = 26.973 = 27

To find out the amount of milliliters from liters, multiply the value by 1000. This would give us 1250 mL of soap. Divide this by 50 to figure the amount of money it would take. 25, so multiply that by $0.19, $4.75 per bottle, and then multiply that by two.

Answer: $4.75 for one bottle and $9.50 for both bottles

Answer:

0.035714285714286

Step-by-step explanation:

is the decimal form

Answer: 625

Step-by-step explanation:

Do 5 to the third power, get the answer, and then multiply times 5 to get 625. Please mark this as the brainliest answer <3

Answer:

Dimensions of a matrix:

r × c

Where r is the no. of rows and c is the no. of columns

If A has 4 rows (horizontal) and 3 columns (vertical),

Dimensions are: 4 × 3

If A has 3 rows (horizontal) and 4 columns (vertical),

Dimensions are: 3 × 4