Answers
Answer:
I= integ.of dx/(4+5sin^2 x)
On dividing by cos^2x in Nr and Dr.
I=integ.of sec^2 x.dx/(4sec^2 x +5.tan^2 x)
I=integ.of sec^2 x.dx/(4+4tan^2 x+5tan^2 x)
I=integ.of sec^2 x.dx/(4+9tan^2 x)
Let tan x= t
sec^2 x.dx = dt
I=integ.of dt/(4+9t^2)
let t =(2/3)p , dt =(2/3)dp
I=integ.of (2/3).dp/(4+4p^2)
I=integ.of (2/12)dp/(1+p^2)
I=(1/6) tan^-1(p) +C
I=(1/6).tan^-1(3t/2) +C
I=(1/6).tan^-1{(3/2)tan x } +C , Answer.
Related Questions
Find the area of quadrilateral ABCD.
A. 20.2 units²
B. 20.4 units²
C. 37.66 units²
D. 46.66 units²
Answers
Find the value of x and y in parallelogram ABCD.
A) x = 13, y = 7
B) x = 15, y = 6
C) x = 1, y = 1
D) x = 6, y = 8
E) None of the answers are correct
Answers
Step-by-step explanation:
х-7=6 , х=13
2у-6=8 у= 7
А)
Quadrilaterals are formed on the side of a fishing tackle box by the adjustable shelves and connecting pieces. Explain why the shelves are always parallel to each other no matter what their position is.
Answers
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram
Pls help rn i need help quickly
Answers
Answer:
800 mm^2
Step-by-step explanation:
(25+7)*(23+8) - 8*10 - 7*5 - 7*11
= 800 mm^2
10
Find the area of the semicircle.
Either enter an exact answer terms of ar or use 3.14 for at and enter your answer as a decimal.
units2
Answers
Answer: 39.25
========================================
Work Shown:
d = diameter = 10
r = radius = d/2 = 10/2 = 5
A = area of a full circle
A = pi*r^2 = 3.14*5^2 = 78.5
Cut this in half to get the area of a semicircle (aka half circle)
(78.5)/2 = 39.25
This result is approximate.
can I have help pls
Answers
tell whether the sequence is arithmetic if it is what is the common difference?
19, 12, 5, -2
no
yes; 1/7
yes;7
yes;-7
Answers
Answer:
(d) yes; -7
Step-by-step explanation:
The differences between terms are ...
12 -19 = -7
5 -12 = -7
-2 -5 = -7
These are all the same, so this difference is "common". A sequence in which terms have a common difference is an arithmetic sequence.
This sequence is arithmetic, with a common difference of -7.
If you only have a 1 3 cup measuring cup and a recipe calls for 5 1 3 cups of flour, how many 1/3 cups would you need to use?
Answers
Answer:
You would need 16 1/3 cups!
Step-by-step explanation:
I used an equation, but you could also use mental conversions! :
1/3c = 5 1/3
(1/3c)3 = (5 1/3)3 (multiply each side by 3 (3/1))
3c /3 = (48) /3 (divide each side by 3)
c = 16
:)
(c = cups!)
The requried number of 1/3 cups to make the recipe is 16.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Measuring cup = 1/3
Recipe required number of cups = 5 1/3 of flour,
Let the number of 1/3 cups = x
1/3x = 5 1 / 3
x/3 = 16 / 3
x = 16
Thus, the requried number of 1/3 cups to make the recipe is 16.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ2
When a number is decreased by 40% of itself, the result is 90. What is the number?
Answers
• Let the number be 'x'.
• Then, 40% of x -
= 40/100 × x
= 2/5 × x
= 2x/5
• Now, decreased number -
= x - 2x/5
= (5x - 2x)/5
= 3x/5
• But, according to the question, decreased number = 90
=> 3x/5 = 90
=> x = 90 × 5/3
=> x = 450/3
=> x = 150
• Hence, the number is 150
• Now, if 150 is increased by 40% -
= 150 + 40% of 150
= 150 + 40/100 × 150
= 150 + 4 × 15
= 150 + 60
= 210
__________________
DefinitionsPercentage - In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"
Solvewe can substitute 40% for 0.4x and make an equation
[tex]x-0.4=90[/tex]
simplify
[tex]0.6x=90[/tex]
divide both sides by 0.6
[tex]x=150[/tex]
Determine which point is the solution to the given system.
y= -7/2 x + 32
y= 4/5 x -11
A. (10,-3)
B. (8,4)
C. (15, 1)
D. (12,-10)
Answers
Answer:
WHAT UP
Step-by-step explanation:
DO THIS AND THAT LOL
Amelia has $25 to spend on makeup this week she loves lipstick each lipstick tube cost $4 what is the maximum number of lipsticks that she can purchase
one step inequality word problems
Answers
Answer:
ok so x is how many she can buy so
4x≤25
x=6.26
so she can buy 6
Hope This Helps!!!
Find the dimensions of a rectangle
having a perimeter of 38 meters
and an area of 84 square meters.
What is the length of the shorter side?
Answers
HELP ME FIND MIDPOINT
Answers
Answer: (-1/2, 0) which is the same as saying (-0.5, 0)
================================================
Explanation:
The x coordinates of A and B are -2 and 1 respectively.
Add up those values to get -2+1 = -1
Then cut that result in half: -1/2 = -0.5
This is the x coordinate of the midpoint.
--------
Repeat for the y coordinates:
Add: 1 + (-1) = 0
Cut in half: 0/2 = 0
The y coordinate of the midpoint is 0
-------
Overall, the midpoint is located at (-1/2, 0) which is the same as writing (-0.5, 0). This is where the segment AB crosses the x axis.
If each of the numbers in the following data set were multiplied by 18, what
would be the new median of the data set?
14, 20, 18, 58, 71, 36, 28
what would be the new median of the data set ?
Answers
The answer is 28 or 504. My explanation....
ALRIGHT! So, it took me a little while to do it all.... since I wasn't really sure if it was already multiplied by 18 or not.
So the normal numbers in order from least to greatest,(because that's easier)
14, 18, 20, 28, 36, 58, 71.
The new numbers I multiplied by 18 are...
252, 324, 360, 504, 648, 1044, 1268.
When I put it like that you can clearly see the new median. 28 and 504!
Incorrect
Question 6
VNIA.
The figure is a trapezoid. Solve for the measure of angle Hand the measure of angle K.
1
439
H
a
104°
K
76
measure of angle H =
measure of angle K = 137
Answers
Answer:
∠H = 137°
∠K = 76°
Step-by-step explanation:
The sum of the interior angles of a trapezoid = 360°
In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180°
The legs are the non-parallel sides: JK and HI
Therefore, 104 + ∠K = 180
⇒ ∠K = 180 - 104 = 76°
And, ∠H + 43 = 180
⇒ ∠H = 180 - 43 = 137°
Sum of two adjacent angles in trapezium equals 180°
[tex]\\ \tt\hookrightarrow <H+43=180[/tex]
[tex]\\ \tt\hookrightarrow <H=180-43[/tex]
[tex]\\ \tt\hookrightarrow <H=137[/tex]
And
[tex]\\ \tt\hookrightarrow <K+104=180[/tex]
[tex]\\ \tt\hookrightarrow <K=180-104[/tex]
[tex]\\ \tt\hookrightarrow <K=76°[/tex]
Draw a picture of 3 5/7 as a fraction.
Answers
If you would do this in whole number form, it'll be 40/7.
Answer:
3 5/7
Step-by-step explanation:
picture
What is the value of the expression n(8n/10) when n =
5?
Answers
Answer:
(8n/10)
8 × 5 = 40
40 ÷ 10 = 4
what is 56/30 in its simplest form?
Answers
Answer: 1 13/15
Hope this helps!
let’s decide whether the following points are on the line 2x=y - 7
(-8.6, -10.2)
Answers
Answer:
14.997
Step-by-step explanation:
yea yeaaa i knowwww
4. Find the length of the hypotenuse of a triangle with the coordinates (1, —2), (1, 7), and (13, —2)
help pls brainliest gib
Answers
Answer:
answer attached
Step-by-step explanation:
answer attached
hope this helps!
What number is in between 6534 and 6565
Answers
Answer:
I am assuming any number in between these two, so let's just say 6,550.
Step-by-step explanation:
If you count up from 6,534, you will eventually get to 6,550. If you continue to count up, you will eventually reach 6,565 which is bigger than 6,550.
Solve for x in the triangle.
Answers
Answer:
A. 1.7
Step-by-step explanation:
x = 1.74303
If rounded, 1.7
Answer: 100% correct
1. A. 1.7
2. D. 64.4
3. A= 140, E= 24, and F= 16
4. 106 mi
Step-by-step explanation:
I need this answered ASAP. A baseball hit by
a player in the major leagues
can leave the bat at a speed
of 110 miles per hour.
Suppose a batter hits a ball
at that speed directly back
to the pitcher’s mound,
about 61 feet from home
plate. To the nearest tenth of
a second, how long does it
take the ball to reach the mound?
Answers
what is 4,357.25 rounded to the second decimal
Answers
what is 4,357.25 rounded to the second decimal
A:4,400
There is a picture inside the question pls help asap!!
Answers
Explanation:
Could I get brainliest for my amazing efforts.
While shopping at the mall, Tom bought 3 hats and 4 pairs of glasses and spent $123. His friend Jerry bought the same type of items consisting of 1 hat and 3 pairs of glasses and spent $66. How much does a pair of glasses cost? How much does a hat cost?
Answers
Answer:
a pair of glasses costs $17
a hat costs $21
Step-by-step explanation:
h = hat
g = glasses
3h + 4g = 123
1h + 3g = 66
multiply the 2nd equation by 3
3h + 9g = 198
negate everything in the 1st equation and add it to the 'new' 2nd equation
3h + 9g = 198
+ -3h - 4g = -123
5g = 75
g = 15
substitute the 15 in either one of the 1st equations
1h + 3(15) = 66
h + 45 = 66
h = 66-45
h = 21
to check, substitute both g=15 and h=21 into BOTH 2 original equations.
A class has 7 boys and 10 girls. Select all associated ratios for this class.
10:3
7:3
17:5
7:17
10:7
10:17
7:10
3:7
Answers
Answer:
7:10
Step-by-step explanation:
…..
because boys number is 7 and girl number is 10 so
HELP PLEASE, IF YOU GET IT RIGHT YOU WILL RECEIVE BRAINIEST !!!!
Answers
Answer:
ok it is very hardest app
Find the area of the regular 18-gon with radius 11 mm
Answers
Answer:
36
Step-by-step explanation:
Consider the polynomial p(x) = 16x4 - 81y4. Which of the following are equivalent expressions?
Select all that apply.
Answers
Answer:
Second expression and Last expression
Step-by-step explanation:
Second expression and Last expression
1. [tex](4x^2-9y^2)(4x^2-9y^2)[/tex]
[tex]4x^2(4x^2-9y^2)-9y^2(4x^2-9y^2)[/tex]
[tex]16x^4 -36x^2y^2 -36x^2y^2+81y^4[/tex]
[tex]16x^4 -72x^2y^2+81y^4[/tex]
2. [tex](4x^2-9y^2)(4x^2+9y^2)[/tex]
[tex]4x^2(4x^2+9y^2)-9y^2(4x^2+9y^2)[/tex]
[tex]16x^4+36x^2y^2-36x^2y^2-81y^4[/tex]
[tex]16x^4-36y^4[/tex]
3. [tex](4x^2+9y^2)(2x-3y)(2x-3y)[/tex]
[tex](4x^2+9y^2)(4x^2-6xy-6xy+9y^2)[/tex]
[tex](4x^2+9y^2)(4x^2-12xy+9y^2)[/tex]
[tex]16x^4-48x^3y+36x^2y^2+36x^2y^2-108xy^3+81y^4[/tex]
[tex]16x^4 -48x^3y+72x^2y^2-108y^3+81y^4[/tex]
4. [tex](4x^2+9y^2)(2x+3y)(2x+3y)[/tex]
[tex](4x^2+9y^2)(4x^2+6xy+6xy+9y^2)[/tex]
[tex](4x^2+9y^2)(4x^2+12xy+9y^2)[/tex]
[tex]16x^4+48x^3y+36x^2y^2+36x^2y^2+108xy^3+81y^4[/tex]
[tex]16x^4+48x^3y+72x^2^2+108xy^3+81y^4[/tex]
5. [tex](4x^2+9y^2)(2x+3y)(2x-3y)[/tex]
[tex](4x^2+9y^2)(4x^2-6xy+6xy-9y^2)[/tex]
[tex](4x^2+9y^2)(4x^2-9y^2)[/tex]
[tex]16x^4-36x^2y^2+36x^2y^2-81y^4[/tex]
[tex]16x^4-81y^4[/tex]
Hope this helps!