Answer:
At 43.2°.
Step-by-step explanation:
To find the angle we need to use the following equation:
[tex] d*sin(\theta) = m\lambda [/tex]
Where:
d: is the separation of the grating
m: is the order of the maximum
λ: is the wavelength
θ: is the angle
At the first-order maximum (m=1) at 20.0 degrees we have:
[tex] \frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342 [/tex]
Now, to produce a second-order maximum (m=2) the angle must be:
[tex] sin(\theta) = \frac{\lambda}{d}*m [/tex]
[tex] \theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ} [/tex]
Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.
I hope it helps you!
In ΔOPQ, o = 6.6 inches, p = 2.1 inches and q=6 inches. Find the measure of ∠O to the nearest 10th of a degree.
Answer:
The measure of ∠O is 97.2° to the nearest tenth
Step-by-step explanation:
To solve this question, we will use the cosine rule
In Δ OPQ
Side o is opposite to ∠O
Side p is opposite to ∠P
Side q is opposite to ∠Q
By using the cosine rule
∵ o² = p² + q² - 2(p)(q)cos∠O
∵ o = 6.6 inches
∵ p = 2.1 inches
∵ q = 6 inches
→ Substitute them in the rule above
∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O
∴ 43.56 = 4.41 + 36 - 25.2cos∠O
→ Add the like terms in the right side
∴ 43.56 = 40.41 - 25.2cos∠O
→ Subtract 40.41 from both sides
∵ 3.15 = -25.2cos∠O
→ Divide both sides by -25.2 to find cos∠O
∴ -0.125 = cos∠O
→ Use your calculator to find ∠O
∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]
∴ m∠O = 97.18075578
→ Round it to the nearest tenth ⇒ 2d.p.
∴ m∠O = 97.2°
what is the equivalent fraction of 4/8
Answer:
2/4
Step-by-step explanation:
2/4 × 2= 4/8 hsuddhskshvshiseu
1/2 or 2/4
4÷8=1/2
4÷2/8÷2=2/4
If the ribbon costs 10 cents ($0.10) per foot, what is the total cost of the ribbon in dollars? Explain your reasoning.....how do you know where to place the decimal?
Answer:
The cost would be $0.10. You would figure this out because 10 cents is a 10th of a dollar
Step-by-step explanation:
The graph below shows the numbers of cups of peach juice that are mixed with different numbers of cups of lemon-lime soda to make servings of peach soda:
A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 9, 18, 27, 36, 45. Points are shown on ordered pairs 0, 0 and 1, 9 and 2, 18 and 3, 27 and 4, 36. These points are connected by a line. The label on the x axis is Lemon lime soda in cups. The title on the y axis is Peach juice in cups.
What is the ratio of the number of cups of peach juice to the number of cups of lemon-lime soda?
9:1
1:36
36:1
1:9
Answer:
A-9:1 is correct i can confirm since i took the test
Step-by-step explanation:
A poll is given, showing 60% are in favor of a new building project. If 9 people are chosen at random, what is the probability that exactly 4 of them favor the new building project?
Answer:
The probability that exactly 4 are in favor the new building project is 0.1672.
Step-by-step explanation:
Let X denote the number of people who are in favor of a new building project.
The proportion of people who are in favor of a new building project is, p = 0.60.
A random sample of n = 9 people are chosen.
Every person has independent opinion about the new building project.
Thus, the random variable X follows a binomial distribution with parameters n = 9 and p = 0.60.
Compute the probability that exactly 4 are in favor the new building project as follows:
[tex]P(X=4)={9\choose 4}(0.60)^{4}(1-0.60)^{9-4}\\\\=126\times 0.1296\times 0.01024\\\\=0.167215104\\\\\approx 0.1672[/tex]
Thus, the probability that exactly 4 are in favor the new building project is 0.1672.
AABC has the following angle measures: MLA = 120, MLB = 40, and
mZC = 20. Which lists the sides in order from shortest to longest?
Answer:
It would be CB, BA, AC
Step-by-step explanation:
Classwork
Example 1
Which of the following correctly models that the number of red gumballs is the number of white gumballs?
5
3
a.
Red
b.
Red
White
White
c.
Red
d.
Red
White
White
Answer:
b
Step-by-step explanation:
Each box represents 1/3. 5/3 of white is 2 boxes more so red needs 2 boxes more than white. 5 red and 3 white is the only one that follows the criteria.
Consider quadrilateral ABCD shown.
Answer:
a=(2,8) b=(8,8)
c=(8,2) d=(2,2)
Step-by-step explanation:
Answer:
this quadrilateral would be a square because all of the sides are equal.
3 2/3 x 2 3/4 what is the answer guys and thank you to anyone helping me out with this question
Answer:
The answer is 6 6/12
Step-by-step explanation:
helppppp please I will give brainliest
The B is 2. B is the Y Intercept.
Help plz math algebra honors?!
Answer:
y=1
To check your answer:
20(1)-7=13
20-7=13
13=13
Help plzzzz I give extra points!
Answer: D
Step-by-step explanation:
3x-4 = -22
3x = -18
x= -6
Answer:
X = -6
Step-by-step explanation:
3x - 4 = -22
3x = -22 + 4
3x = -18
x = -18/3
x= -6
A typical red blood cell in human blood has a diameter of approximately 0.000007 m. Enter this diameter
in scientific notation.
In scientific notation, this diameter is
x 10
m.
Answer:
In scientific notation, that would be;
7.0 * 10^-7 m
Step-by-step explanation:
Here, we want to write the given diameter in scientific notation
Mathematically, that can be done by moving the decimal point to the back of 7
The number of times we move will be counted as negative powers of 10 host
Thus, we have;
7.0 * 10^-7
8. There are three exams in a marking period. A student received grades of 75 and 81 on the first two exams. What grade must the student earn on the last exam to get an average of no less than 80 for the making period?
Answer:
84 and more
Step-by-step explanation:
84+81+75
=240
240/3
=80
R is between Q and S
Find QR
Answer:
23.8
Step-by-step explanation:
68.4 - 44.6 = 23.8
Answer:
QR is 23.8
because 68.4 - 44.6 =23.8
Plz help me with this
Answer:
0
Step-by-step explanation:
Inverse it To verify:
0/1=0+9=9
The expression 2y + 2.7 is equal to for y = 4.
Answer:
10.7
Step-by-step explanation:
i am not certain but since y is the 4 you will have 2(4) + 2.7 so you get 8+2.7 since you do 2x4 then you add 8 and 2.7 to get 10.7
3(2e + 5) + 8(1 - e) = 1
ILL MARK BRAINLIST HELP !!!
Answer:
11 (positive)
Step-by-step explanation:
Answer:
e=11
Step-by-step explanation:
3(2e+5)+8(1-e)=1
6e+15+8-8e=1
-2e+23=1
-2e=-22
e=11
Josh is unpacking boxes at her job at target she unpacks 17 boxes that each have 25 regular DVDs in them she also on tax 24 boxes that each have a team blue rays TVs in them what is the total number of regular DVDs and Blu-ray’s that are on Pat Solve and explain
Answer:
1+1=4
Step-by-step explanation:
Does anyone know the simplest radical form for this question
Answer:
A.
Step-by-step explanation:
Simplify the radical by breaking up the radicand up into a product of known factors, assuming positive real numbers.
Answer:
A) 4[tex]\sqrt15\\[/tex]
Step-by-step explanation:
Start by factoring 240 to its prime factors
√240 = √10 · 24 =√2·5·2·2·2·3
look for pairs of numbers. There are 2 pairs of 2s, so take those out of the radical
= 2·2√5·3
= 4√15
Find the value of y-8 when y = 15.
Answer: y=3
Step-by-step explanation:
the initial statement is
y
∝
1
x
to convert to an equation multiply by k the constant
of variation
⇒
y
=
k
×
1
x
=
k
x
to find k use the given condition
y
=
15
when
x
=
5
y=kx⇒k=y x=15×5=75
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣22y=75x22∣∣
when x=25 then
y=75 25=3
Step-by-step explanation:
I hope understand this
Please give the correct answer and I will give a brainless
Answer:
It’s 40 I’m pretty sure because of the square. That’s how I was taught.
0.9, 0.09, 0.1, 0.07
In order from smallest to largest
Answer:
0.07,0.09,0.1,0.9
Step-by-step explanation:
In general terms, Ascending means smallest to largest, 0 to 9, and/or A to Z and Descending means largest to smallest, 9 to 0, and/or Z to A. Ascending order means the smallest or first or earliest in the order will appear at the top of the list: For numbers or amounts, the sort is smallest to largest.
(3x−2.4)/0.02 = (8−x)/0.1 Please Help
Answer
x = 5/4
Step-by-step explanation:
Please can someone help me
Answer:
60degree ...........
Which number is the additive inverse of -4
-442
O
-4
O
45
V
Answer:
it's the last one i mean 4&1/4
Answer:
last image== four and one fourth
What is the simplest form for 15:25
Answer:
3/5
Step-by-step explanation:
Both can be divided by 5. So, 15 divided by 5 is 3, and 25 divided by 5 is 5! Hoped this helped :)
Help Again Please Answer The Image
Helpppppp please due today
Answer:
Y=-2x+5 (3 or C)
Step-by-step explanation:
Replace the value of x
Y= -2x(-1)+5
Solve
Y= 2+5
Y= 7
Factor the polynomial:
x2 + 5x – 14 =
х
x2 - 10x + 16 =
VX
Answer:
(x-2) and second slot is (x+7)
Second Answer= (x-2) and second slot is (x-8)
Answer:
(x-2),x-7) next set is (x-2),(x-8) then the next question is (x-2) your very welcome.
Step-by-step explanation: