Step-by-step explanation:
We need to prove that,
[tex]\cot^2 a-\cos^2 a=\cot^2 a\times \cos^2 a[/tex]
Taking LHS,
[tex]\cot^2 a-\cos^2 a[/tex]
We know that,
[tex]\cot a=\dfrac{\cos a}{\sin a}[/tex]
[tex]=(\dfrac{\cos a}{\sin a})^2 -\cos^2 a\\\\=\cos^2 a(\dfrac{1}{\sin^2 a}-1)\\\\=\cos^2 a(\dfrac{1-\sin^2a}{\sin^2 a})\\\\=\cos^2 a\times \dfrac{\cos^2 a}{\sin^2 a}\\\\=\dfrac{\cos ^2 a}{\sin^2 a}\times \cos^2a\\\\\because \ \dfrac{\cos ^2 a}{\sin^2 a}=\cot^2 a\\\\=\cot^2 a \times \cos^2a\\\\=RHS[/tex]
So, LHS = RHS
Hence, proved.
what is the answer to 3 5/12 + 1 3/8? another question since i don’t have many points lol. what is 2 9/10 - 1 7/18? these are mixed numbers btw. please answer and thank you!
Answer:
For the first one:
416/96
For the second one:
270/180
Step-by-step explanation:
Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?
O x = -2, x = -8
O x = -2, x = -6
O x = -2, x = 6
O x = -2, x = 8
4. If 100.0g of nitrogen gas (N2) is reacted with 100.0g of hydrogen gas (H2) to form NH3. What are the limiting and excess reactants?
Hint: Convert grams to moles for each reactant and then convert to moles of NH3. You need your balanced equation from answer 1 to determine the mole relationship between each reactant and the product NH3. Use the periodic table to determine the molar mass of all chemical formulas. Fill in the “?” blanks below to show your work.
Balanced equation: 1N2 (g) + 3H2(g) 2NH3(g)
Molar mass of H2 = g/mol
100.0"g " "H" _2×(1"mol " "H" _2)/( ? "g " "H" _2 )×(" ? mol N" "H" _3)/(" ? mol " "H" _2 )= ? "mol N" "H" _3
Molar Mass of N2 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/(" ? g " "N" _2 )×(" ? mole N" "H" _3)/(" ? mol " "N" _2 )= ? "mol N" "H" _3
A. What is the excess reactant? Hint: it is the reactant above that makes the most amount of product
B. What is the limiting reactant? Hint: it is the reactant above that makes the least amount of product
C. What is the theoretical yield of ammonia of the reaction?
Molar mass of NH3 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/( ? "g " "N" _2 )×( ? "mol N" "H" _3)/( ? "mol " "N" _2 )×(" ? g N" "H" _3)/( 1 "mol N" "H" _3 )= ? "g N" "H" _3
Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have
100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂
Hydrogen (H) has a molar mass of about 1.008 g/mol, so
100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂
In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have
3.570 • 3 ≈ 10.71
so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.
(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.
(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.
(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or
7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃
Find sin θ Right Triangle Trigonometry
Answer:
15/17
Step-by-step explanation:
15^2+8^2=c^2
c=hypotenuse. Sin is opposite side/hypotenuse
Answer:
B
Step-by-step explanation:
Use SOHCAHTOA
We are given the opposite side and the agacent side
Therefore we use TOA
tan(x)= 15/8
tan^-1(15/8)= 61.93
sin(61.93)= 15/17
Hope this Helped :)
If 9y – 5 = 22, find the value of 2y.
Answer:
I want questions and answers
Step-by-step explanation:
Step-by-step explanation:
9y-5=22
9y=22+5
y=27
9
y=3
now,
2y=2×3=6
hope it helps.
The sum of two numbers is 123 and the difference of the two numbers is 47. What are the two numbers?
do you know the answer
Answer:
The answer is 15.
Other:
Brainliest? Thanks!
What is the value of x in the equation 2x – 9= x?
Answer:
x = 9
Step-by-step explanation:
2x - 9 = x
2x - x = 9
x = 9
Answer:
The correct answer is 9.
Step-by-step explanation:
2x – 9= x <----- Here is the original problem.
2(9) – 9 = 9 <----- Replace the variables.
18 - 9 = 9 <----- Simplify the multiplication.
9 = 9 <----- This is a true statement.
Therefore, the correct answer is 9.
Hope this helps! :D
whats 1 plus 1 I WILL GIVE BRAINLEST
Answer:2
Step-by-step explanation:
NEED HELP NOW DIS IS DUE TODAY, answer plws :) LOOK AT DE PHOTO
Find the area of the composite figure.
A) 96.75 units2
B) 112.5 units2
C) 139.5 units2
D) 192 units2
Answer:
a.
Step-by-step explanation:
The area for this is
A= 7x9/2+3x9+9x6
= 31.5+27+54
= 112.5
The population of Garden City in 1995 was 2,400. In 200, the population was 4,000. Write a linear equation in slope-intercept form that represents this data.
Answer:
[tex]y = 320x +2080[/tex]
Step-by-step explanation:
Given
Population in 1995 = 2400
Population in 2000 = 4000
Required
Determine the linear equation
Let the years be represented with x.
In 1995, x = 1 i.e. the first year
In 2000, x = 6
Let y represents the population
When x = 1; y = 2400
When x = 6; y = 4000
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4000 - 2400}{6 - 1}[/tex]
[tex]m = \frac{1600}{5}[/tex]
[tex]m = 320[/tex]
Next, we calculate the line equation as follows:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 2400 = 320(x - 1)[/tex]
[tex]y - 2400 = 320x - 320[/tex]
[tex]y = 320x - 320 + 2400[/tex]
[tex]y = 320x +2080[/tex]
q = d / d+ n on a manufacturer's assembly line, d parts are found to be defective and n parts are nondefective. the formula above is used to calculate a quality-of-parts ratio. What is d expressed in terms of the other two variables?
a. n / 1 - q
b. nq / 1 - q
c. n / q-1
d. nq / q-1
Answer:
d. nq / q - 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
FactoringStep-by-step explanation:
Step 1: Define
q = d / (d + n)
Step 2: Solve for d
Multiply (d + n) on both sides: q(d + n) = dDistribute q: dq + qn = dSubtract qn on both sides: dq = d - qnSubtract d on both sides: dq - d = -qnFactor GCF: d(q - 1) = -qnDivide (q - 1) on both sides: d = -qn / (q - 1)Rearrange: d = nq / -(q - 1)Distribute -1: d = nq / 1 - qIn this figure m∠A=(2x-2)°, m∠C=(4x-6)°,and m∠DBC=(5x+4)° What is m∠C
SHOW YOUR WORK will give 100 points!!
Answer:
answer 500
Step-by-step explanation:
2x2-40x33 divided by 2 and boom answer 500
Anser:
m∠C=42
Step-by-step explanation:
(2x - 2) + (4x - 6) = (5x + 4)
(6x - 8) = (5x + 4)
-4 -4
6x - 12 = 5x
-5x -5x
1x = 12
So 4 * 12 - 6 = 42
m∠C=42
Combine the like terms to create an equivalent expression.
5 + 3t +4-t
Answer:
5+7t
Step-by-step explanation:
3t and 4t add together bc they are like terms
Answer:
9+2t
Step-by-step explanation:
5+4=9
3t-t=2t
A local flower shop sells a dozen roses for $12.85. If there is an 8% sales tax, how much in TOTAL will you pay for the roses
Answer:
13.87
Step-by-step explanation:
help plz very very confused
Answer:
x=-2
Step-by-step explanation:
Please help I need the answer
Answer:
Please check the attached graph.
The point of intersection will be: (x, y) = (15, -2)The solution will be:
(x, y) = (15, -2)Hence, option (B) is correct.
Step-by-step explanation:
Please note that the point of intersection is the solution of the two lines on a coordinate plane.Given the system of equation
[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]
Please check the attached graph,
The red line is representing the equation [tex]y\:=\:\frac{2}{3}x-12[/tex]The blue line is representing the equation [tex]y\ =\ 2x-32[/tex]From the attached graph, it is clear that both the lines meet at the point (15, -2).
In other words,
at x = 15, y = -2
Thus, the point of intersection will be: (x, y) = (15, -2)
We already know that the point of intersection is the solution of the two lines on a coordinate plane.
Therefore, the solution will be:
(x, y) = (15, -2)
Hence, option (B) is correct.
Write the linear equation in slope-intercept form, 3x − y = 7
Need help with this one will mark brainliest
Answer:
(1,-1)
Step-by-step explanation:
pls don't forget to mark brainliest, thanks! message me for any more questions :)
When Margie visited the beach at Key West, she collected 50 seashells. She had 15
smooth shells and 35 shells with ridges. What percent of her shells had ridges?
35
30
70
65
Answer:
70
Step-by-step explanation:
If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Given that,
The interest of sum of money is 6 yrs in 3/8 of the principal.
To find,
The rate of interest.
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
what is 2 +2 pls in in kider grden pls hepl
Answer:
4
Step-by-step explanation:
(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Here is a very high quality picture
Answer:
4
Step-by-step explanation: If you had 2 crayons and your friend had 2 crayons and you added them together it would equal 4!
put the numbers in order from least to greatest.
5 * 10^6
4000000
5 * 10^5
0.6 * 10^7
75 * 10^5
a veternarian treated 7 dogs 13 cats 4 horses and three ferrert what was the percentage of his paitents were small animals
Answer:
As per your defention, horses are the only thing considered "not small". To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.
So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals
7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.
So,
23/27 * 100
The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.
So by doing the calculation we get
85.18%
Step-by-step explanation:
On a recent trip, Miles drove 58 miles the first hour,64 miles the second hour.and 62 miles the final hour. Estimate the average number of miles he drove each hour
Answer:
60
Step-by-step explanation:
all of those rounded to the nearest ten is 60
A decking company estimates how many gallons of stain each deck requires before starting construction. Apart from knowing the total area of each deck, which additional quantity will allow the decking company to make an accurate estimation
Answer:
Concept: Engineering Statistics
To make accurate estimations they need the total volume of the area.Hence they need the area coverage by the selected stain.Solution: Are covered by each gallon of stain This provides an accurate representation to a significant figure.The box-and-whisker plot shows the number of books read by history students
during the last school year.
+
2.
3
4.
5
6
7
8
g
9
10
11
12
13
14
15
16
What is the range of the data?
Answer:
43
Step-by-step explanation:
The range of the data is 14.
What is a boxplot?A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).
Given that,
The box-and-whisker plot shows the number of books read by history students during the last school year.
The box extends from 4 to 15 on the number line.
There is a vertical line at 8, median = 8.
The whiskers end at 4 and 15,
So, minimum of data = 4 and maximum of data = 15.
∵ Range = maximum of data - minimum of data
Range = 15 - 4
Range = 11
Hence, the range of the data is 14.
Learn more about boxplot here :
https://brainly.com/question/24834228
#SPJ2
help please :)))))(
Answer:
6 hours :))))))
Step-by-step explanation:
Answer:
3 or 4 I think
Step-by-step explanation:
I think this because if u find the red candles unit rate it's 9 and 9×4 is 36 but the thing is the other one is 12 12×4 is 48 but then if u do 12×3 it's 36. The rest don't work so 3 or 4 hours. But if someone else has a different answers do not put mines because I have no clue but I think it's that because of that reason.
if anybody can answer this quickly; please do!
Answer:
The answer is D
Step-by-step explanation:
I would give an explanation but it would take to long. The original answer is 21, there is no other equation that equals 21.
Find the equation of the line that passes through the points:
(-2, 4) and (1, 10)
Step-by-step explanation:
y=mx+ C
to find m (slope )
m= 10 _ 4 / 1- ( -2 )
m = 6 / 3 = 2
( I,10 ) Satisfy eq.
10 =2 x I + C
C= 5
. so, equation of Line is \
y= 2x +5