The measure of the angle of refraction is 22 degress, the correct option is A.
What is the angle of refraction?
The angle made by a refracted ray with a perpendicular to the refracting surface.
Given
An incident ray of light strikes water at an angle of 30°.
The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33.
In order to determine the angle of the refracted ray, we may apply Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is constant for a given wave when it passes through two different media.
The angle of the refraction is given by;
[tex]\rm 1.0003 \times sin(30) = 1.33 \times sin(\phi)\\\\ \rm 1.0003 \times 0.5 = 1.33 \times sin(\phi)\\\\Sin\phi=\rm \dfrac{1.0003 \times 0.5 }{1.33}\\\\Sin\phi=0.37\\\\\phi = 22[/tex]
Hence, the measure of the angle of refraction is 22 degress.
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Answer:
The angle of refraction is 15°.
Step-by-step explanation:
You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are are blue.
What is the possibility of a blue marble
Answer:
3/5
Step-by-step explanation:
blue marbles in the bag is 12. the total marbles in the bag including the blue marbles is 20. so, take 12 over 20 and then simplify/divide it with 2, the first answer you'll get is 6/10, then simplify/divide it again with two and you'll get 3/5
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Step-by-step explanation:
I wrote the steps step-by-step for you
I hope you understand...
Answer:
Step-by-step explanation:
3x^2 + 8x - 16 - SOMETHING = x^2 - 4
Re-arranging left and right:
SOMETHING = 3x^2 + 8x - 16 - x^2 + 4
= (3x^2 - x^2) + 8x - 16 + 4
= 2x^2 + 8x - 12
47 = 2(x + 3) + 3(x - 3)
what's the answer to this ?
[tex]47 = 2(x + 3) + 3(x - 3)[/tex]
[tex]47 = 2x + 6 + 3x + - 9[/tex]
[tex]47 =(2 x + 3x) + (6 + - 9)[/tex]
[tex]47 = 5x + - 3[/tex]
[tex]47 = 5x - 3[/tex]
[tex]5x - 3 = 47[/tex]
[tex]5x = 47 + 3[/tex]
[tex]5x = 50[/tex]
[tex]x = \frac{50}{10} [/tex]
[tex]x = 10[/tex]
Let us check whether or not we have found out the correct value of x by placing 10 in the place of x .
So :-
[tex]47 = 2(10 + 3) + 3(10 - 3)[/tex]
[tex]47 = (20 + 6) + (30 - 9)[/tex]
[tex]47 = 26 + 21[/tex]
[tex]47 = 47[/tex]
LHS = RHSAs the left hand side of the equation is equal to the right hand side of the equation , we have found out the correct value of x .
Therefore , 47 = 2 ( 10 + 3 ) + 3 ( 10 - 3 ) and x = 10 .
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answer:
Choice B) No.
Step-by-step explanation:
When she starts , she does a sit-up every 222 seconds.
But as she gets tired, each sit-up takes longer and longer to do.
It means, each sit-up takes more time than she did at beginning.
So, it is NOT proportional to the time.
If it is proportional, she should take constant number of sit-ups even she get tired.
Answer:
No
Step-by-step explanation:
Khan
Can you help me this the workings and the answer?
Thanks a bunch!!
Answer:
(multiply both sides by 6)
6×[tex]\frac{4h+4}{6}[/tex]-10×6=-2h×6
(simplify)
4h+4-60=-12h
4h-56=-12h
(move constant to the right side and variable to the left)
4h+12h=56
16h=56
(divide both sides by 16)
h=7/2
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
12x - y = 25
9x+y = 17
A. (-2,3)
B. (2, -1)
O C. (1,-2)
D. (3,-2)
Answer:
B. (2,-1)
Step-by-step explanation:
Try plugging the X and y coordinates and the ones that give you the correct answer are correct try and error method
i need help with this question
PLEASE HELP!! What is the equation of the following graph in vertex form?
Answer:
y = (x - 4)² - 4Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
the vertex is (4, -4) ⇒ h = 4, k = -4
so:
f(x) = a(x - 4)² + (-4)
f(x) = a(x - 4)² - 4
So the right answer is the first one.
Find the mode of the data set. 11, 19, 16, 12, 19, 16, 11, 12, 16, 13
Answer:
mode is 16
Step-by-step explanation:
because there are 3 16s which is the most common number in this data set
Answer:
16
Step-by-step explanation:
Your mode would be 16
Your mode is 16 because the mode is the number that appears most in the data set and 16 appears 3 times in the data set.
Here is some extra answers just incase.
median=14.5
Because median is the middle number and because 13,16 are the middle numbers then you split that in middle and plus you also have to sort it least to gretest.
Mean=14.5 also because mean is the average of all the numbers in the data set.
range is 8
Range is the highest number subtracting lowest number so 19-11=8
Minimum is 11
The minimum is the lowest number and the data set so 11
maximum is 19
Maximum is the highest number in the data set.
Hope it helps have a great day:)
List the range for set p={1,2,3,4,5} and set Q={1,4,9,16,25,26}
Answer:
Set p =4
Set q=25
Step-by-step explanation:
Range is highest value minus lowest value
Set P=5-1=4
Set Q=26-1=25
([x/(y-1)](-4)-[xy+(-3)]/(-1) if x=-5 and y=-2
The value of expression at x = - 5 and y = - 2 is,
⇒ 1/3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ ([x/(y - 1)](-4) - [xy + (-3)]/ (-1)
Now, We can put x and y in above expression as;
⇒ ([x/(y - 1)](-4) - [xy + (-3)]/ (-1)
⇒ [- 5 / (- 2 - 1) ] (- 4) - [- 5×- 2 + (- 3)] / (- 1)
⇒ [ - 5/- 3 ] (- 4) - [10 - 3] / (- 1)
⇒ - 20/3 + 7
⇒ 1/3
Thus, The value of expression at x = - 5 and y = - 2 is,
⇒ 1/3
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Wendy and Connor each deposit $8,300 into accounts that earn 3. 5% interest for 25 years. Wendy's account earns annual simple interest and Connor's account earns annual compound interest.
How much more interest will they earn?
please help thanks. ☺️
Which of the expressions below can be factored using the difference of
squares method?
A. 17x^2+23y^2
B. 25x^2+64y^2
C.25x^2-64y^2
D.17x^2-23y^2
Answer:
C
Step-by-step explanation:
A difference of squares can be factored in general as
a² - b² = (a - b)(a + b)
We are looking for 2 terms separated by a - and perfect squares on either side. The only one meeting this criteria is
25x² - 64y²
= (5x)² - (8y)²
= (5x - 8y)(5x + 8y) ← in factored form
A Super Lemon currently weighs 100 kg and is increasing by 4 kg per day. The price for Super Lemon’s
is currently $8.90 per kg but is decreasing at $0.30 per day. The cost to grow the lemon is $0.80 per
day.
Determine how many days from now the lemon should be sold to maximize profit and what the
maximum profit will be.
The lemon should be sold 3 days from now to maximize profit, which would be $894.80.
Profit calculationGiven that a Super Lemon currently weighs 100 kg and is increasing by 4 kg per day, and the price for Super Lemon’s is currently $8.90 per kg but is decreasing at $0.30 per day, and the cost to grow the lemon is $0.80 per day, to determine how many days from now the lemon should be sold to maximize profit and what the maximum profit will be, you should perform the following calculation:
Initial profit = $890(100 + 4x1) x (8.90 - 0.30x1) - (0.80x1) = 893.6(100 + 4x5) x (8.90 - 0.30x5) - (0.80x5) = 884(100 + 4x2) x (8.90 - 0.30x2) - (0.80x2) = 894.8(100 + 4x3) x (8.90 - 0.30x3) - (0.80x3) = 893.6Therefore, the lemon should be sold 3 days from now to maximize profit, which would be $894.80.
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If a 5liter of liquid weighs 3kg how much does 2liter of the same liquid weigh
Answer:
Step-by-step explanation:
2 kg
4
1
5x
$x + šy
Use the work shown. Which expression is equivalent to
2 3 2 4 1.
39
Y-
X+-y?
5
5 3
X +
No
(3)
4
y -
2 2
O
x+
ch
5
9 34-5%
O
-Y
4 22 3
x + -+-y+=X
5
9
2 2
4
O
7
X
Colt
5
3
5
3 34
9
2.
31
7 2
X+-+y
5 9
Answer:
[tex]\dfrac13y-\dfrac75x+\dfrac23-\dfrac23y-\dfrac49[/tex]
Step-by-step explanation:
[tex]-\dfrac23y-\dfrac35x+\dfrac29-\dfrac45x+\dfrac13y[/tex]
Collect like terms:
[tex]\implies -\dfrac23y+\dfrac13y-\dfrac35x-\dfrac45x+\dfrac29[/tex]
Combine like terms:
[tex]\implies -\dfrac13y-\dfrac75x+\dfrac29[/tex]
[tex]\dfrac13y-\dfrac75x+\dfrac23-\dfrac23y-\dfrac49[/tex]
Collect like terms:
[tex]\implies \dfrac13y-\dfrac23y-\dfrac75x+\dfrac23-\dfrac49[/tex]
Combine like terms:
[tex]\implies -\dfrac13y-\dfrac75x+\dfrac29[/tex]
Therefore, [tex]\dfrac13y-\dfrac75x+\dfrac23-\dfrac23y-\dfrac49[/tex] is equivalent to [tex]-\dfrac23y-\dfrac35x+\dfrac29-\dfrac45x+\dfrac13y[/tex]
What is the equation of the function that is graphed as line a?
y=-3x-2
y=3 x + 2
y=- 1/3 x - 2
y=1/3- x2
What is the slope of the line that connects the points (-1,9)
and (3, 25)?
Answer:
4
Step-by-step Explanation
Can anyone help me with my homework, it would be greatly appreciated.
Answer:
The answer is 2.8 because it is the same length as the other side
Step-by-step explanation:
Thomas uses 4 1/2 cups of flour to make 3 loaves of banana bread. Write and solve an equation to find how many cups of flour are needed to make one loaf of banana bread.
The equation that best represents the relationship between the number of loaves of bread which is denoted by b and the number of cups of bananas which is denoted by c is c = 2 1/4b.
We know that we need 11 ¼ cups of bananas are needed to make 5 loaves of bread.
We need to divide 11 ¼ to 5 which the answer is 2 ¼. The 2 ¼ represents how many cups are needed to make 1 loaf of bread.
Simplify 9x + 14 y-6y + x.
= 9x + x + 14y - 6y
= 10x + 8y
Answer:
Answer: It would be 10x +8y
Math on the Spot Mark said that the speed of a
housefly rounded to the nearest tenth was 1.9 meters
each second. Is he correct? If not, what is his error?
insect Speeds (meters each second)
Insect
Speed
Dragonfly
6.974
Horsefly
3.934
Bumblebee
2.861
Honeybee
2.548
Housefly
1.967
Answer:
He is incorrect
Step-by-step explanation:
In 1.967, the hundredth is greater than 5. That means you'd round up! So, the correct answer would be 2.
(I tried my best to explain)
need help will give 20 points
Answer:
mStep-by-step explanation:
Divide: 1 / 3 by 6
what is the answer?
Answer:
hi
Step-by-step explanation:
GEOMETRY, help asap please!
Answer:
A
Step-by-step explanation:
It’s the opposite
Sandy can rake 20 bags of leaves in 4 hours. Sarah can rake 28 bags in 4 hours. If they work together, how long will it take to rake 54 bags of leaves?
(A) 4 1/2 hours
(B) 4 hours
(C) 3 3/4 hours
(D) 2 hours
Answer:
A
Step-by-step explanation:
hope you get it
Which statement regarding these four states is true? the state with the lowest population has the greatest population density. the state with the second lowest population has the lowest population density. the state with the lowest population has the lowest population density. the state with the second greatest population has the lowest population density.
State B with the second-lowest population has the lowest population density. Then the correct option is B.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The second-lowest density for the states will be given as
[tex]\rm D_A = \dfrac{1055173}{2677} = 394.16[/tex]
[tex]\rm D_B = \dfrac{1333089}{36418} = 36.61[/tex]
[tex]\rm D_C = \dfrac{3596677}{5543} = 648.87[/tex]
[tex]\rm D_D = \dfrac{6745408}{10555} = 639.07[/tex]
Thus, state B with the second-lowest population has the lowest population density. Then the correct option is B.
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The vertex is located at (8.33, 236.67).
What does this point represent in context?
Answer:
The vertex is the maximum of the graph. The y-coordinate of the maximum is 236.67, which means the greatest possible daily profit from the sale of soccer balls is $236.67. This maximum profit occurs when x = 8.33, or when the store charges $8.33 per soccer ball.
Answer:
The vertex is the maximum of the graph. The y-coordinate of the maximum is 236.67, which means the greatest possible daily profit from the sale of soccer balls is $236.67. This maximum profit occurs when x = 8.33, or when the store charges $8.33 per soccer ball.
Step-by-step explanation:
Find the circumference
Answer:
C = 9(pi)
Step-by-step explanation:
The formula for the circumference of a circle of diameter d is C = (pi)d.
Here the diameter is 9, so the circumference of this particular circle is
C = (pi)(9) = 9(pi)