Answer:
Snell's Law states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction of the two media:
sin i / sin r = n2/n1
where i is the angle of incidence, r is the angle of refraction, n1 is the index of refraction of the initial medium (in this case air), and n2 is the index of refraction of the second medium (in this case the windshield).
We can rearrange Snell's Law to solve for n2:
n2 = n1 * sin i / sin r
Plugging in the given values, we have:
n2 = 1.0003 * sin 55° / sin 35.25°
Using a calculator, we get:
n2 ≈ 1.526
Therefore, the index of refraction of the windshield is approximately 1.526 to the nearest thousandth.
There are 39.37 inches in 1 meter. How many inches are in 8 · 104 meters?
Step-by-step explanation:
\(1meter = 39.37inches \\ 8.104meters = (39.37 \times 8.104)inches \\ = 319.05448inches\)
There are \(3.1496\cdot 10^6\) inches in \(8\cdot 10^4\) meter.
Important information:
There are 39.37 inches in 1 meter.Convert meter to inches:Using the given information,
1 meter = 39.37 inches
Using this conversion, we get
\(8\cdot 10^4\) meter = \(39.37\times (8\cdot 10^4)\) inches
\(8\cdot 10^4\) meter = \(39.37\times 80000\) inches
\(8\cdot 10^4\) meter = \(3149600\) inches
\(8\cdot 10^4\) meter = \(3.1496\cdot 10^6\) inches
Therefore, there are \(3.1496\cdot 10^6\) inches in \(8\cdot 10^4\) meter.
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|3y - 7| - 10 = -5 solve for y:
Answer: y=1.25
Step-by-step explanation:
First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.
So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5
Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…
Y = 1.25
Help ASAP please!!
Which distance measures 5 units?
•the distance between points W and X
•the distance between points X and Y
•the distance between points X and Z
•the distance between points Y and Z
Answer: The distance between W and X
if it helps, jump from the dash under W to the next dash until you get to X, you'll get 5 units
Hope this helps you and I hope you have a nice day :)
Tom can mow 5 lawns in 2 hours. How many lawns can he mow in 10 hours?
Answer:
25
Step-by-step explanation:
Answer:
25 lawns
Step-by-step explanation:
Since he can mow 5 lawns in 2 hours he can mow:
10 lawns in 4 hours
15 lawns in 6 hours
20 lawns in 8 hours
25 lawns in 10 hours
Hope this helps! It's a pattern! :D
A total of 100 people went to the
movies. A ticket cost $4 for adults and
$2 for children. The total sales
amounted to $276. How many children
and adults attended the movies?
Using a system of equations, the number of children and adults who attended the movies is as follows:
Children = 62Adults = 38.What is a system of equations?A system of equations is two or more equations solved concurrently.
A system of equations is also known as simultaneous equations.
The total number of people who went to the movies = 100
The unit cost of adult tickets = $4
The unit cost of children tickets = $2
The total sales = $276
Let the number of children who attended the movies = x
Let the number of adults who attended the movies = y
Equations:x + y = 100 ... Equation 1
2x + 4y = 276 ... Equation 2
Multiply Equation 1 by 2:
2x + 2y = 200 ... Equation 3
Subtraction Equation 3 from Equation 2:
2x + 4y = 276
-
2x + 2y = 200
2y = 76
y = 38
Substitute y = 19 in equation 1:
x + y = 100
x + 38 = 100
x = 62
Check in Equation 2:
2x + 4y = 276
2(62) + 4(38) = 276
124 + 152 = 276
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what is the measure of angle c ?
Answer:
Step-by-step explanation:
C and F are supplementary angles.
C = 180°-79° = 101°
The figure shows a parallelogram inside a rectangle outline:
A parallelogram is shown within a rectangle. The length of the rectangle is 3 over 5 foot, and the width of the rectangle is 2 over 5 foot. The two equal bases of the triangles outside the parallelogram are labeled 1 over 5 foot.
What is the area of the parallelogram? (1 point)
1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot
The area of the parallelogram is equal to: D. 4 over 25 square foot.
How to calculate the area of a parallelogram?Mathematically, the area of a parallelogram can be calculated by using this formula:
Area of a parallelogram = b × h
Where:
b represents the base area of a parallelogram.h represents the height of a parallelogram.Based on the information provided above, the actual base of the parallelogram is given by:
Actual base of parallelogram = 3/5 - 1/5
Actual base of parallelogram = 2/5 foot.
Substituting the given parameters into the area of a parallelogram formula, we have the following;
Area of a parallelogram = 2/5 × 2/5
Area of a parallelogram = 4/25 square foot.
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Help with the question in the photo please
The answer when the expression 12.10² is multiplied is 1200. The right option is c. 1200
What is does multiply mean?To multiply means to add equal groups. When we multiply, the number of things in the group increases.
To multiply 12.10², we use the technique below.
From the question,
The . means multiplication.Given: 12.10²
Change the . to multiplication.
12×10²From the law of indices,
10² = 10×1010² = 100Therefore, 12.10² = 12×100 = 1200.
Hence, the right option is c 1200
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Find the value x ?
(2x -10degree) (3x +20degree)
Answer:
If we do square on both sides we get two answers i.e. (x+12)^2=(3x+20)^2
(x^2)+24x+144=(9x^2)+120x+400
(8x^2)+96x+256=0
(x^2)+12x+32=0
(x+4)(x+8)=0
x= -4 or x= -8.
Else we have another method
x+12=3x+20
x+12–20=3x
x-8=3x,
Now square on both sides.
(x-8)^2=(3x)^2
x^2–16x+64=(9x^2)
(9x^2)-(x^2)+16x-64=0
(8x^2)+16x-64=0
(x^2)+2x-8=0
(x+4)(x-2)=0
x= -4 or x= 2.
But It Didn’t Satisfy for The Equation When
x=2 or x= -8,So The Value of x will be -4 which satisfies given question.
find the coordinates
Answer:
Take the number 10 and put it on the first box, next take the 315 degrees and put it on the 2nd box
Identify the parts of the expression. Then write a word expression for the numerical or algebraic expression 1.5×6+8.3
The numerical value of the algebraic expression 1.5 × 6 + 8.3 is 17.3; The factors are 1.5 and 6 & the terms: 1.5 * 6 and 8.3
Identifying and solving the parts of the expressionFrom the question, we have the following parameters that can be used in our computation:
1.5 × 6 + 8.3
The above expression is an algebraic expression and as such the parts of the expressions are
Factors: 1.5 and 6Terms: 1.5 * 6 and 8.3When the expression is evaluated, we have
1.5 × 6 + 8.3 = 17.3
This means that the result of evaluating the expression 1.5 × 6 + 8.3 is 17.3
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Which represents the solution set to the inequality ? x –1 x x is greater than or equal to StartFraction 7 Over 16 EndFraction. (–∞, –1] (–∞, left-parenthesis negative infinity, StartFraction 7 Over 16 EndFraction right-bracket.]
Answer:
c
Step-by-step explanation:
Answer:
This guy is right (option c)
Please answer number 9 I’ll give brainliest thank you!
Answer:
C (95 people)
Step-by-step explanation:
380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)
Answer:
C.95
Step-by-step explanation:
25/100=0.25
380*0.25=95
- 7x - 5y = 36
x = 2y + 3
Answer:
Solution
\(x = - 3,\: y = -3\)
Step-by-step explanation:
If the objective is to solve for the system of equations
- 7x - 5y = 36 [1]
x = 2y + 3 [2]
Then the process is as follows
Substitute x = 2y + 3 from eq [2] in eq [1] : -7 x- 5y = 36how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
possible answers -
By the cross product property, AB2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by AD.
By the cross product property, AB2 = BC multiplied by AD.
The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:
Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.
By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).
Using the proportionality of similar triangles, we can write the following ratio:
\($\frac{AB}{BC} = \frac{AD}{AB}$\)
Cross-multiplying, we get:
\($AB^2 = BC \cdot AD$\)
Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:
\($\frac{AC}{BC} = \frac{AD}{AC}$\)
Cross-multiplying, we have:
\($AC^2 = BC \cdot AD$\)
Now, we can substitute the derived expressions into the original equation:
\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)
It was made possible by cross-product property.
Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
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Complete a frequency distribution for the following data that represents the recent sales prices (in $1,000s) of homes in Midwestern County. As this is quantitative data, calculate five classes, report the cumulative frequency, relative frequency, and cumulative relative frequency.
Sales price:
115 290 271 267 290
271 242 223 221 269
245 336 236 265 270
249 216 335 237 295
Frequency Cumulative Frequency Relative Frequency Cumulative Relative Frequency
100 upto 150
Answer:
Given the quantitative data, the five classes would be:
Number of data given, n = 20
________________________
100 to 150:
Frequency = 1
Cumulative frequency = 1
Relative frequency \( = \frac{1}{20} = 0.05 \)
Cumulative relative frequency \( = \frac{1}{20} = 0.05 \)
__________________________
150 to 200:
Frequency = 0
Cumulative frequency = 0 + previous cumulative frequency = 0 + 1 = 1
Relative frequency = 0
Cumulative relative frequency \( = \frac{1}{20} = 0.05 \)
__________________________
200 to 250:
Frequency = 8
Cumulative frequency = 9 + previous cumulative frequency = 8 + 1 = 9
Relative frequency \( = \frac{8}{20} = 0.4 \)
Cumulative relative frequency \( = \frac{9}{20} = 0.45 \)
__________________________
250 to 300:
Frequency = 9
Cumulative frequency = 9 + previous cumulative frequency = 9 + 9 = 18
Relative frequency \( = \frac{9}{20} = 0.45 \)
Cumulative relative frequency \( = \frac{18}{20} = 0.9 \)
__________________________
300 to 350:
Frequency = 2
Cumulative frequency = 2 + previous Cumulative frequency = 2 + 18 = 20
Relative frequency \( = \frac{2}{20} = 0.1 \)
Cumulative relative frequency \( = \frac{20}{20} = 1 \)
__________________________
Which set does √3 belong to?
1. whole and irrational numbers
2. natural numbers and integers
3. irrational and real numbers
4. integers and rational numbers
Please show your work
As a result, option 3 is correct because √3 is a part of a collection of irrational and real numbers.
Is the number 7 an integer?Numbers that are integers cannot be fractions or decimals. They can only be positive or negative whole numbers. Examples are 2, 7, 0, -9, -12, and so forth.
The fact that the number √3 cannot be written as the proportion of two integers makes it an irrational number. It is specifically the square root of 3 that is positive.
Because not all whole integers are irrational—for instance, 4 is not only a complete number but also a rational number—option 1, which contains both and whole irrational numbers, is inaccurate.
Option 2, which combines integers and natural numbers, is erroneous because not all integers and natural numbers are irrational.
Option 4, which combines integers and rational numbers, is erroneous because irrational numbers are not rational numbers because they cannot be stated as ratios of integers.
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What is the equation of the line in slope intercept form
Answer:
first one
y=3x-3
second one
y=1/-3x+1
What’s the slope of these points (-8,3) and (-8,2)
Answer:
donkeey kongy
Step-by-step explanation:
Last year, Gina's sweet potato farm produced 337 tons of sweet potatoes. This year, the sweet potato production increased by 40%. How many tons of sweet potatoes did Gina's farm produce this year? 427 tons 425 tons 447 tons 445 tons
So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.
What you mean by increasing?When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.
Given by the question.
To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:
40% of 337 tons = 0.4 x 337 = 134.8 tons
Adding this to last year's production gives:
337 + 134.8 = 471.8 tons
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You deposit $6000 into an account that earns simple interest at an annual rate of 5%. How much interest does the account earn after 3 months?
The interest earned after 3 months is $75
What is simple interest?
The simple interest on a deposit is the principal deposited multiplied by the interest and the time the deposit lasted
I=PRT
I=interest=unknown
P=principal=$6000
R=interest rate=5%
T= 3 months=0.25 year
I=$6000*5%*0.25
I=$75
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Answer:
75 dollars
Step-by-step explanation:
i got it right
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is what
. The probability that both the first digit in the last digit of the three digit number are even numbers is what
The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.
To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:
P(n, r) = n! / (n-r)!
In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:
P(6, 3) = 120
We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:
2 x 4 x 3 = 24
The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:
24/120 = 0.2 or 20%
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Based on the experimental probability, predict the number of times that you will roll a 5 if you roll the number cube 300 timesExperiment result on previews question: The number 5 was rolled 9 times out of 20 on a previous question
Explanation: To understand this problem we need to know that there are two different types of probability. The experimental probability and the theoretical probability.
- The experimental probability occurs once you conduct the experiment and after the experiment, you calculate the probability using the result of the experiment.
- The theoretical probability occurs before the experiment. Once you have information about the situation so you calculate the probability the get a specific result before trying.
Step 1: For this question, once we have a number cube with faces 1,2,3,4,5 and 6 and we want to know the experimental probability to get a 5 once you roll the cube 300 times you would need to get in real life a number cube and to roll it 300 times. After this experiment we would get all the results of each time we roll it and we would know how many times (from 300 times) we got a number 5. After that, we would use the following formula
\(Experimental_{probability}=\frac{number\text{ of times we got a number 5}}{300}\)Once the get this result we finish the question.
Is this correct or not?
If not please provide correct answer
Answer:
It is correct please I do not want yo sound rude can you give me brainliest answer.
Answer:
correct steps
Step-by-step explanation:
if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.
What linear function has the same y-intercept as the one that is represented by the graph?
The 3rd answer, y = 2x + 3
The graph has a y-intercept of positive 3. The y-intercept is when x is equal to 0 on the line.
Betty received $ 500,000 from a life insurance policy to be distributed to her as an annuity certain in 10 equal annual installments with the first payment made immediately. On the day she receives her third payment, she is offered a monthly perpetuity of X in lieu of the future annual payments. The first payment will be made in exactly one month. The effective annual rate of interest is 8 %. Determine the value of X.
9514 1404 393
Answer:
annual payment: $68,995.13monthly payment in perpetuity: X = $2394.76Step-by-step explanation:
a) For payments made at the beginning of the period, the annuity is called an "annuity due." The formula in the first attachment tells how to compute the payment for a given present value ($500,000), number of periods (N=10), and interest rate (i=0.08).
pmt = $500,000/(1 +(1 -(1 +i)^(-N+1))/i) = $500,000/(1 +(1 -(1.08^-9))/.08)
pmt ≈ $68,995.13 . . . . annual payment
__
b) After the first payment, the account balance is ...
$500,000 -68,995.13 = $431,004.87
After subsequent payments, the account balance will be ...
$431,004.87×1.08 -68,995.13 = $396,490.13 . . . after 2nd payment
$396,490.13×1.08 -68,995.13 = $359,214.21 . . . after 3rd payment
The payment amount that can be made in perpetuity is the amount of the monthly interest on this balance:
X = $359,214.21 × (0.08/12) = $2394.76
if answer correct you get brainiest what is 85 × 93 ÷ 5 × 86 ÷ 6 + 933 + 942,563 × 389,175 ÷ 5 × 55 × 0 =_____
Step-by-step explanation:
0 the answer is definitely 0 I'm so smart totally
Answer:
0
Step-by-step explanation:
there's x0
what is the measure of angle LKJ? Round to nearest whole degree.
The angle LKJ in the triangle is 49 degrees.
How to find angles in a triangle?The sum of angles in a triangle is 180 degrees. The measure of the angle LKJ can be found as follows:
Therefore, the angle LKJ can be found using trigonometric ratios as
follows:
Not the triangle is a right angle triangle. Therefore, one of its angles is 90 degrees.
Hence,
tan x = opposite / adjacent
tan x = 8.9 / 7.7
tan x = 1.15584415584
x = tan ⁻¹ 1.15584415584
x = 49.1346675513
Therefore,
angle LKJ = 49 degrees
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