prove that √3cosec20° - sec20° = 4
Answers
Answer:
LHS,
√3cosec20°-sec20°hope it helps.
stay safe healthy and happy.
Related Questions
HELPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
2
35
6
Step-by-step explanation:
14/7=2
5*7=35
42/7=6
5*7=35
42/7=6
so you answers in order is 2,35,6
144 seventh graders would check out fancy books
Answers
A coach collected data for his runners for 2 weeks. Week 1: Mean = 14.5 miles/ MAD = 1.15 Week 2: Mean = 16 miles/ MAD = 1.5. Which statement correctly compares the variability from Week 1 to Week 2? *
Answers
Find the range of the data.
Answers
Answer:
7.3
Step-by-step explanation:
Biggest value = 8.9
smallest value = 1.6
range = 8.9-1.6 = 7.3
Step-by-step explanation:
range=highest number - lowest number
= 8.9 - 1.6
=7.3
The sample survey showed that 67% of internet users said the internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.)
Answers
Answer:
The 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends is [tex](0.67 - 1.96\sqrt{\frac{0.67*0.33}{n}}, 0.67 + 1.96\sqrt{\frac{0.67*0.33}{n}})[/tex], in which n is the size of the sample.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
67% of internet users said the internet has generally strengthened their relationship with family and friends.
This means that [tex]\pi = 0.67[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.96\sqrt{\frac{0.67*0.33}{n}}[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.96\sqrt{\frac{0.67*0.33}{n}}[/tex]
The 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends is [tex](0.67 - 1.96\sqrt{\frac{0.67*0.33}{n}}, 0.67 + 1.96\sqrt{\frac{0.67*0.33}{n}})[/tex], in which n is the size of the sample.
-7= y/7? Solve the Equation.
Answers
y = -49
multiply 7 on both sides
-7*7 = y/7*7
-49 = y
Answer:
y = -49
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-7 = y/7
Step 2: Solve for y
[Multiplication Property of Equality] Multiply 7 on both sides: -49 = yRewrite: y = -49show that the subset is the partial ordering on the power set of S.
Answers
refer to the attachment
Factor the expression below.
x² - 64
O A. (x - 16)(x-4)
B. (x+16)(x-4)
O C. (x-8)(x-8)
O D. (x+8)(x-
Answers
Answer:
(x-4)(x+4)
Step-by-step explanation:
x^2 - 64 = x^2 - 4^2 = (x-4)(x+4)
The measure of an angle is 89. Find the measure of its supplementent
a. 91
b. 89
c.90
d. 80
Answers
Answer:
A) 91
Step-by-step explanation:
Supplementary angels are 2 angels whos sum is 180
To find the supplement of angle 89, substract 89 from 180
180-89 = x
91 = x
Find the length of side y.
y=_ft
Answers
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
If the above cube is a container with an inside length of 25cm, how many
3.3.3
litres will it hold?
Answers
Answer:
Capacity of cube in liter = 15.625 liter
Step-by-step explanation:
Given:
Side of cube = 25 cm
Find:
Capacity of cube in liter
Computation:
Volume of cube = Side³
Volume of cube = 25³
Volume of cube = 15,625 cm³
We know that
1 cm³ = 0.001 liter
Capacity of cube in liter = Volume of cube in cubic cm x 0.001
So,
Capacity of cube in liter = 15,625 x 0.001
Capacity of cube in liter = 15.625 liter
PLS ANWER ASAP!! person with correct answer will be marked brainliest
Answers
Answer:
62 degrees since there are supplementary angles
Step-by-step explanation:
∠PQO= 180 degrees - 118 degrees
∠PQO= 62 degrees is the answer.
∠PQO= 180°-∠RQO -------(Supplementary Angles)
∠PQO= 180° - 118°
∠PQO= 62° answer.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
X + 5y = -20
Answers
Answer:
[tex]y = \frac{-1}{5}x -4[/tex]
Step-by-step explanation:
[tex]x + 5y = -20\\\\5y = -x - 20\\\\y = \frac{-1}{5}x - 4[/tex]
A man buys a marker at Rs. 40 and sells it at Rs. 50. What is the profit percentage?
Answers
Answer:
may be 10%hope it helps uh
If the integral of the product of x squared and e raised to the negative 4 times x power, dx equals the product of negative 1 over 64 times e raised to the negative 4 times x power and the quantity A times x squared plus B times x plus E, plus C , then the value of A B E is
Answers
Answer:
[tex]A + B + E = 32[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C[/tex]
Required
Find [tex]A +B + E[/tex]
We have:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C[/tex]
Using integration by parts
[tex]\int {u} \, dv = uv - \int vdu[/tex]
Where
[tex]u = x^2[/tex] and [tex]dv = e^{-4x}dx[/tex]
Solve for du (differentiate u)
[tex]du = 2x\ dx[/tex]
Solve for v (integrate dv)
[tex]v = -\frac{1}{4}e^{-4x}[/tex]
So, we have:
[tex]\int {u} \, dv = uv - \int vdu[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = x^2 *-\frac{1}{4}e^{-4x} - \int -\frac{1}{4}e^{-4x} 2xdx[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} - \int -\frac{1}{2}e^{-4x} xdx[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} \int xe^{-4x} dx[/tex]
-----------------------------------------------------------------------
Solving
[tex]\int xe^{-4x} dx[/tex]
Integration by parts
[tex]u = x[/tex] ---- [tex]du = dx[/tex]
[tex]dv = e^{-4x}dx[/tex] ---------- [tex]v = -\frac{1}{4}e^{-4x}[/tex]
So:
[tex]\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} - \int -\frac{1}{4}e^{-4x}\ dx[/tex]
[tex]\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} + \int e^{-4x}\ dx[/tex]
[tex]\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} -\frac{1}{4}e^{-4x}[/tex]
So, we have:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} \int xe^{-4x} dx[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} [ -\frac{x}{4}e^{-4x} -\frac{1}{4}e^{-4x}][/tex]
Open bracket
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} -\frac{x}{8}e^{-4x} -\frac{1}{8}e^{-4x}[/tex]
Factor out [tex]e^{-4x}[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = [-\frac{x^2}{4} -\frac{x}{8} -\frac{1}{8}]e^{-4x}[/tex]
Rewrite as:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = [-\frac{1}{4}x^2 -\frac{1}{8}x -\frac{1}{8}]e^{-4x}[/tex]
Recall that:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = [-\frac{1}{64}Ax^2 -\frac{1}{64} Bx -\frac{1}{64} E]Ce^{-4x}[/tex]
By comparison:
[tex]-\frac{1}{4}x^2 = -\frac{1}{64}Ax^2[/tex]
[tex]-\frac{1}{8}x = -\frac{1}{64}Bx[/tex]
[tex]-\frac{1}{8} = -\frac{1}{64}E[/tex]
Solve A, B and C
[tex]-\frac{1}{4}x^2 = -\frac{1}{64}Ax^2[/tex]
Divide by [tex]-x^2[/tex]
[tex]\frac{1}{4} = \frac{1}{64}A[/tex]
Multiply by 64
[tex]64 * \frac{1}{4} = A[/tex]
[tex]A =16[/tex]
[tex]-\frac{1}{8}x = -\frac{1}{64}Bx[/tex]
Divide by [tex]-x[/tex]
[tex]\frac{1}{8} = \frac{1}{64}B[/tex]
Multiply by 64
[tex]64 * \frac{1}{8} = \frac{1}{64}B*64[/tex]
[tex]B = 8[/tex]
[tex]-\frac{1}{8} = -\frac{1}{64}E[/tex]
Multiply by -64
[tex]-64 * -\frac{1}{8} = -\frac{1}{64}E * -64[/tex]
[tex]E = 8[/tex]
So:
[tex]A + B + E = 16 +8+8[/tex]
[tex]A + B + E = 32[/tex]
Use the following table below, which represents the average rainfall in Orlando to answer this questions:
Month
Jan.
Feb.
Mar.
Apr.
May
June
July
Aug
Sep.
Oct.
Nov:
Dec.
Avg. Rainfall 2.55
1.24
.98
1.87
3.54
5.27
6.31
6.20
5.00
3.23
1.64
193
Use the rainfall table above and your graphing calculator to find the
sinusodal regression equation to model the data.
Answers
Answer:
me no understand plz ask a teacher
ASAP
I’m taking a final that’s almost due 23. A clerk needs to price a cashmere sweater returned by a customer. The customer paid a total of $222.36 that included a gift wrapping charge of $4 and a 9% sales tax. What price should the clerk mark on the tag? A. $222.00 B. $200.33 C.$198.71 D.$ 200.00
Answers
Answer:
$200.33
Step-by-step explanation:
Total amount paid = $222.36
Wrapping charge = $4
Sales tax = 9%
The price would be:
Cost + sales tax amount = (Total amount paid - wrapping charge)
Cost + sales tax amount = (222.36 - 4)
Cost + sales tax = 218. 36
Subtracting the sales tax :
Let cost = x
x + 0.09x = 218. 36
1.09x = 218.36
x = 218.36 / 1.09
x = $200.33
find the quotient of -75 divided (-15)
Answers
Answer:
5
Step-by-step explanation:
-75 divided (-15) = 5
Which statements are always true
about ABCD? Select all that apply.
Answers
Answer:
It doesn't show the statements so I'll create some.
Step-by-step explanation:
ABCD make a shape with 2 pairs of parallel lines.
ABCD when broken apart can create 4 triangles
There are 6 shipping boxes that each ocontain 36 lbs of merchandise from a toy store.
Before the boxes are loaded onto a delivery truck, the same amount of additional
merchandise is added to each box. The total weight of all of the boxes is 258 pounds.
How much additional weight was added to each box?
Answers
Answer:
7kg
Step-by-step explanation:
258 / 36 = 7.16
the nearest ten, 7.20
Mark me brianest
round 8,437 to the nearest whole number
Answers
Answer:
the answer is 8,000.
Step-by-step explanation:
MULTIPLE CHOICE QUESTION
What is the mean
11.65
11.85
11.45
11.25
Answers
what is 10000000000+10000000000
Answers
Answer:
20000000000000000000000000000
B Reading Choose the best estimate for the multiplication problem below. 85 x 86
A. 8100
B. 10,400
C. 12,200
Answers
Answer:
A. 8100
Step-by-step explanation:
85 x 86
To estimate, we multiply 85*100, which is the easiest multiplication, as a multiplication by 100 is the same as placing two zeros at the end of the number.
85*100 = 8500
Since 86 < 100, 85*86 < 8500. Thus, the correct estimate is given by option A.
The habitable part of Earth's surface has been estimated to cover 60 trillion square meters. Estimate the percent of this area occupied by humans if Earth's current population stood packed together as people do in a crowded elevator.The habitable part of Earth's surface has been estimated to cover 60 trillion square meters. Estimate the percent of this area occupied by humans if Earth's current population stood packed together as people do in a crowded elevator. HINT
Answers
Answer:
yay
Step-by-step explanation:
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answers
f(x) = 25
25{13(5)}= 1625
Explanation:
f{g[h(x)]}
= f{g[5]}
= f{5 + 8}
= f{13}
= 13^2
= 169
Write the equation of the line that passes through (-7,-4) and (-6,-2) in slope intercept form
Answers
Answer:
y = mx + b
m =(-2--4)/(-6--7)
m = 2
-2 = 2(-6) +b
b = 10
y= 2x + 10
What is the measure of angle c?
Answers
Answer:
c=29°
Step-by-step explanation:
angle b=97°{ vertically opposite angle}
now,
97°+54°+c=180°{ sum of angle of triangle}
x=180-151x=29°stay safe healthy and happy.Answer: I'm pretty sure it's 29 degrees.
Step-by-step explanation:
Angle b is directly opposite of 97, and is the same. So b is equal to 97. Every triangle is 180 degrees, so all you have to do is 180 - 54 - 97, which is 29. I hope that helps!!
30 ft.
6 ft.
4 ft.
20 ft.
?
25 ft.
PLEASE HELP QUICK
Answers
Answer:
5 ft
Step-by-step explanation:
30/6 = 5
20/4 = 5
25/x = 5
25/5 = 5
x = 5
Answer:
5 feet
Step-by-step explanation:
the triangles are scaled by the factor of 5
Find a,b,c and d?..........
Answers
9514 1404 393
Answer:
a = 6, b = 12, c = 6, d = 6√3
Step-by-step explanation:
The two triangles are the "special" triangles.
The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.
The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.
Then ...
c : a : 6√2 = 1 : 1 : √2 ⇒ c = a = 6
and ...
a : d : b = 1 : √3 : 2 ⇒ d = 6√3 and b = 12 . . . (since a=6)
The lengths are ...
a = 6, b = 12, c = 6, d = 6√3