Answer:
what are we suppost to answer??
Step-by-step explanation:
According to the law of reflection, if the angle of incidence of an incoming ray
of light hitting a mirror is 46°, what is the angle of reflection for the same ray
leaving the mirror?
O A. 180°
O B. 46
O C. 44
O D. 134°
Answer:
B. 46°
Step-by-step explanation:
[tex] \underline{ \bf{LAWS \: OF \: REFLECTION}}[/tex]
Angle of reflection (angle between reflected ray and the normal to the reflecting surface) equals to the angle of incidence (angle between incident ray and normal).[tex] \boxed{\bf{\angle i = \angle r}} [/tex]
The incident ray, reflected ray lie in the same plane with normal to the reflecting surface.Here, if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°.
What is the law of reflection?We know that according to the law of reflection, the angle of incidence and the angle of reflection are equal whenever a light ray reflects off a surface.
How to solve this problem?Here the angle of incidence of an incoming ray of light hitting a mirror = 46°
Using the law of reflection, we can conclude that the angle of reflection = 46°
Therefore if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°. So, option B is correct.
Learn more about the law of reflection here -
https://brainly.com/question/10638925
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BIG POINT
Describe the significance of the unit circle to Trigonometry. Make connections to solving, graphing, identities, and other key concepts included in this course. Provide at minimum of 4 connections with an explanation of the connections.
Write in paragraph please.
Answer: (compiled from google)
One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.
A full revolution of a circle ( 360 ∘ ) equals 2 π r a di a n s. This means that 1 radian = 180 ∘ π .
The formula used to convert between radians and degrees is angle in degrees = angle in radians ⋅ 180∘ π .
The radian measure of an angle is the ratio of the length of the arc to the radius of the circle ( θ = sr ) . In other words, if s is the length of an arc of a circle, and r is the radius of the circle, then the central angle containing that arc measures radians.
Key Terms
arc: A continuous part of the circumference of a circle.
circumference: The length of a line that bounds a circle.
radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.
The x – and y -coordinates at a point on the unit circle given by an angle
t are defined by the functions x = cos t and y = sin t .
Although the tangent function is not indicated by the unit circle, we can apply the formula
tan t = sin t cos t to find the tangent of any angle identified.
Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than 90 ∘ .
The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.
Key Terms
periodicity: The quality of a function with a repeated set of values at regular intervals.
unit circle: A circle centered at the origin with radius 1.
quadrants: The four quarters of a coordinate plane, formed by the x – and y -axes.
If this doesn't help I appologize
25
50
75
100
y
5
10
15
20
Write an equation to represent the proportional relationship.
True or False please ❗️
Answer:
true
Step-by-step explanation:
Answer:
It might be a trick question but if not, it is false.
Step-by-step explanation:
If you look closely you can see that L' is 4 units above the x-axis and not 3.
how do you write -5 1/100 as a decimal?
Answer:
The answer is -5.01
Answer: my friend I gotchu
Step-by-step explanation:
-5 would convert into -5.
1/100 = 0.01
so together it would be
-5.01
A random sample of 5 homes in Newberry, Florida had a mean of $169,900 and a standard deviation of $21,756. Construct a 95% confidence interval for the average home of this size in Newberry.
A. (144885.25, 194914.75).
B. (150440.842, 189359.16).
C. (150830, 188969.98).
D. (142886, 196914).
Answer:
D. (142886, 196914).
Step-by-step explanation:
To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.
The formula for Confidence Interval =
C.I = Mean ± t score × standard deviation/√n
n = 5 samples
Degrees of freedom = n - 1 = 5 - 1 = 4
The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776
Hence,
Confidence Interval =
169,900 ± 2.776 × 21,756/√5
169,900 ± 2.776 × 9.7295789837
169, 900 ± 27009.311259
Confidence Interval
169,900 - 27009
= 142886
169, 900 + 27009.311259
= 196914
Hence, the confidence interval = (142886, 196914)
Option D is the correct answer
Using the t-distribution, it is found that the 95% confidence interval for the average price of a home of this size in Newberry is of (142886, 196914), given by option D.
In this problem, we have the standard deviation for the sample, thus, the t-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 169900[/tex].The sample standard deviation is [tex]s = 21756[/tex].The sample size is [tex]n = 5[/tex]First, we find the number of degrees of freedom, which is the sample size subtracted by 1, so df = 5 - 1 = 4.
Then, we find the critical value for the 95% confidence interval with 4 df, which looking at the t-table or using a calculator is given by t = 2.7765.
The margin of error is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In this case:
[tex]M = 2.7765\frac{21756}{\sqrt{5}} = 27014[/tex]
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
Then
[tex]\overline{x} - M = 169900 - 27014 = 142,886[/tex].
[tex]\overline{x} + M = 169900 + 27014 = 196,914[/tex].
Thus, the correct option is D. (142886, 196914).
A similar problem is given at https://brainly.com/question/15180581
At a store, 3 pieces of cake and 4 pieces of bread together
cost $18.60. The total cost of 2 pieces of cake and 2 glasses of
juice is $12.34. If one piece of cake costs 2 times as much as
one piece of bread, what is the total cost of 5 pieces of cake
and 4 glasses of juice? Include two decimal places in your
answer. For example if the answer is $12 enter it as $12.00.
9514 1404 393
Answer:
$28.40
Step-by-step explanation:
Using the given information, we can write three equations relating the three item prices. Let c, b, and j represent the cost of 1 item each of cake, bread, and juice.
3c +4b = 18.60
2c +2j = 12.34
c = 2b
Multiplying the third equation by 2 gives an expression for 4b that we can substitute into the first equation.
2c = 4b
3c +2c = 18.60
c = 18.60/5 = 3.72
Doubling the second equation almost gives us the purchase we want.
2(2c +2j) = 2(12.34)
4c +4j = 24.68
Adding one more cake to this give the desired purchase:
(4c +4j) +c = 24.68 +3.72
5c +4j = 28.40
The total cost of 5 pieces of cake and 4 glasses of juice is $28.40.
Kayla hikes 25 meters in 13.7 seconds. Which of the following closest to how far she will hike in 6 minutes, if she maintains the same pace
Answer:
197.28 meters in 6 minutes
Step-by-step explanation:
13.7 seconds ÷ 25 meters = 0.548 meters in 1 second
6 minutes = 360 seconds (6 minutes x 60 seconds in every minute = 360 seconds)
0.548 meters in 1 second x 360 seconds = 197.28 meters in 6 minutes
Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earrings "m" to the number of hours "h" she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? For 4.5 hours?
Answer:
Step-by-step explanation:
28.50/3=9.50 dollars per hour
y=9.50h
Trina earns $19.00 for 2 hours
Trina earns $42.75 for 4.5 hours
Answer:
If Trina earns $28.50 in 3 hours, that means she earns $9.50 per hour.
9.50h = m ---> earnings = 9.50 x hours
2 hours = 9.50 ( 2) = $19
4.5 hours = 9.50 ( 4) = $42.75
Step-by-step explanation:
10^7+9+1^3 helppp meeee
Answer:
10000010
Step-by-step explanation:
10^7 is 10000000 plus 9 plus 1^3 which is 1.
10000000+9+1=10000010
Answer:
10000010
Step-by-step explanation:
Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal
Answer:
here
Step-by-step explanation:
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.
Answer:
Angle PQR measures 40 degrees
Step-by-step explanation:
No explanation took the test got it right.
Little late but, oh well, better late than never.
In the diagram, lines m and n are parallel. What is the measure of w?
Answer:
35 degrees
Pleaase seek help u need to be smarter than this giv me brainilest
If there are 12 inches in a foot, how many inches are in 64 feet?
Answer:
768
Step-by-step explanation:
64*12
Answer:
768
Step-by-step explanation:
12x64=768
What is the length of AC?
f(2)=3x^2-6x+2
I need help!!!
Answer:
2
Step-by-step explanation:
substitute x by the value in the function, here its f(2) so
3(2)^2 - 6(2)+2
= 12 - 14 = 2
Victor has quarters, dimes and pennies in his pocket. He has three times fewer pennies than dimes and he has 4 fewer quarters than pennies. How many coins does he have total if they are worth $4.60?
Answer:
Let's define the variables :
Q = number of quarters that Victor has
P = number of pennies that victor has
D = number of dimes that victor has.
We know that:
"He has three times fewer pennies than dimes"
P = D*3
"he has 4 fewer quarters than pennies."
Q = P - 4
And we know that in total, he has $4.60, then:
Q*$0.25 + P*$0.10 + D*0.05 = $4.60
Then we have a system of equations:
P = D/3
Q = P - 4
Q*$0.25 + P*$0.01 + D*0.10 = $4.60
To solve this, we need to replace variables in order to eliminate them.
We can start by replacing the first equation into the other two:
Q = D/3 - 4
Q*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
Now we can replace the top equation into the bottom one:
(D/3 - 4)*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
And now solve this for D:
D*($0.25/3 + $0.01/3 + $0.10) -$1 = $4.60
D*$0.1866... = $4.60 + $1.00 = $5.60
D = $5.60/$0.1866... = 30
Then he has 30 dimes.
P = D/3 = 30/3 = 10 pennies
Q = P - 4 = 10 - 4 = 6 quarters.
In total he has 30 + 10 + 6 = 46 coins.
e length of a rectangle is five times its width. If the area of the rectangle is 320in, find its perimeter.
Answer:
Step-by-step explanation:
Let width of rectangle =X
So length=5x
Given area of rectangle =320inch
Area of rectangle =length ×width
Length×width=320
5X×X=320
5x^2=320
x^2=320/5
x^2=64
So X=√64
Width x= 8inch
Length 5x=5×8
= 40 inch
Perimeter of rectangle =2(length+width)
=2(40+8)
=2(48)
=96inch
Look at image please help me ASAP
Mr. & Mrs. Martin drove 200 miles in September. They drove 2 times as many miles in November as they did in September. They drove 2 times as many miles in October as they did in November. How many miles did Mr. & Mrs. Martin drive in October?
Question:
Mr. & Mrs. Martin drove 200 miles in September. They drove 2 times as many miles in November as they did in September. They drove 2 times as many miles in October as they did in November. How many miles did Mr. & Mrs. Martin drive in October?
Answer:
200 miles x 2 = 400 miles in September 400 x 2 = 800 in october
4n + 1= 25 how do I solve this and show my work?
Answer:
n=6
Step-by-step explanation:
4n + 1= 25
Move constant to the right
4n=25-1
Calculate
4n=25-1
Then divide on both sides
Answer:
Today: Friday, 06 November 2020
Hour: 09.44 WIB (Indonesia)
_______________________________
4n + 1 = 25
4n = 25 - 1
4n = 24
n = 24/4
n = 6
3/4x+2=5/12 rewite so there’s no fractions
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
Help fast! Will give brainliest!!!
Answer:
Jacki did not subtract 12 from 8 correctly i believe
-5n - 2 =38.... how dobi solve this problem and show my work
Answer:
[tex] \boxed{ n =- 8}[/tex]
Step-by-step explanation:
[tex]-5n - 2 =38 \\- 5n = 38 + 2 \\ -5n = 40 \\ n = -\frac{40}{5} \\ \boxed{ n =- 8}[/tex]
♨Rage♨
Answer:
Today: Friday, 06 November 2020
Hour: 09.42 WIB (Indonesia)
_______________________________
-5n - 2 = 38
-5n = 38 + 2
-5n = 40
n = 40/-5
n = -8
7.0 is ten times as much as
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
e2020
Suppose a local pizzeria delivers pizzas every day of the week and their delivery times are normally distributed with a mean of 30 minutes with a standard deviation of 4 minutes. Determine the interval that contains the middle 80% of delivery times.
Answer:
interval in minutes = (24.88, 35.12)
Step-by-step explanation:
we can use the following formula:
interval = population mean ± (z · σ)
population mean = 30 minutesz for 80% = 1.28σ = 4 minutesinterval = 30 minutes ± (1.28 · 4 minutes)
interval in minutes = (30 - 5.12), (30 + 5.12) = (24.88, 35.12)
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answer:9 ft
Step-by-step explanation:
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
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Please help and leave a small explanation if u want brainliest :)
Answer:
B is true
Step-by-step explanation:
ratio of all corresponding sides are equal
Answer:
B) Triangle ABC is similar to triangle EFG
Step-by-step explanation:
they are similar eve tho they are not the same size. But they arnt congrent cause they are diffrent sizes.
Which equation matches the function described in Table
Answer:
The answer is A
Step-by-step explanation:
A because it's simply adding by 4 on the right-hand side.
Solve 8x+ c = k for x.
A. X = 8(6+C
B. X
kic
8
C. = 818-C)
D. *E
K-c
8
Find the slope of the line
Answer:
C. -3/4
Step-by-step explanation:
The Slope is always rise over run or
rise
___
run
so with X you rise up 3 and Y, you run down 4 so the slope is C.
-3/4