[tex]\boxed{\sf 1-sin^2\theta=cos^2theta}[/tex]
[tex]\boxed{\sf cos^2\theta=\dfrac{1}{sec^2\theta}}[/tex]
Solution:-
Let's do
[tex]\\ \sf\longmapsto k=sec^2\theta(1+sin\theta)(1-sin\theta)[/tex]
[tex]\\ \sf\longmapsto k=sec^2\theta(1-sin^2\theta)[/tex]
[tex]\\ \sf\longmapsto k= sec^2\theta(cos^2\theta)[/tex]
[tex]\\ \sf\longmapsto k=sec^2\theta\times \dfrac{1}{sec^2\theta}[/tex]
[tex]\\ \sf\longmapsto k=1[/tex]
[tex]\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
[tex] \sec^{2} θ(1 + \sinθ)(1 - \sinθ) = k[/tex]
[tex] \sec^{2} θ \: (1 - { \sin}^{2} θ) = k[/tex]
[tex] { \sec }^{2} θ \cos^{2} θ = k[/tex]
[tex] \sec ^{2} θ. \frac{1}{ {sec}^{2}θ } = k[/tex]
[tex]1 = k[/tex]
Therefore:
[tex] \color{red}k = 1[/tex]
Suatu jenis bakteri, setiap detik akan membelah diri menjadi dua, jika pada saat permulaan ada 5 bakteri, berapakah jumlah bakteri setelah 10 detik? (geometric series=deret geometri)?
Answer:
Vc. Tính giai cấp
Step-by-step explanation:
Geometry, please answer question ASAP
Answer:
D
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle, that is
perimeter = 20 + 13 + 21 = 54 → D
Is it ok if you help me solve this?
Answer:
For it to be parallel the answer is B (3)
Answer:
B) 3
Explanation:
If two lines are parallel that means that their equations have the same value of slope.
Which of the following is an appropriate estimate of the distance, in miles, from the west coast to the east coast of the United States?
A. 3 x 10-3
B. 3 x 10-1
C. 3 x 101
D. 3 x 103
factorise x²-49
please solve this answer
Answer:
(x+7)(x-7)
Step-by-step explanation:
x²-49
=x²-7²
=(x+7)(x-7)
Answer:
(x+7) (x-7)
Step-by-step explanation:
[tex]\sqrt x^{2}[/tex]-49
[tex]\sqrt x^{2}[/tex] - [tex]\sqrt{49}[/tex] = (x+7) (x-7)
Which best describes the relationship between the lines
with equations 4x 8y = 9 and 8x 7y = 9?
A. perpendicular
B. neither perpendicular nor parallel
C. same line
D. parallel
Answer:
B. neither perpendicular nor parallel
The correct option is (B).
To find the relationship between the lines with equations.
What is equation?Statement that the values of two mathematical expressions are equal.
The given equation :
4x - 8y = 9
8x - 7y = 9
By the use of graphing calculator ,
The points obtained by solving these equation are (0,-1.286).
The relationship between the lines with equations 4x 8y = 9 and 8x 7y = 9 are neither perpendicular nor parallel.
The correct answer is neither perpendicular nor parallel.
Learn more about equation here:
https://brainly.com/question/24362056
#SPJ2
let the cp be rs x. if a man gains 20% profit by selling an article for rs 816. find cp
Answer:
Let, the c.p be x.
Given,
profit % = 20%
S.P = rs 816
c.p = x
We know,
profit = p% of c.p
= [tex]\frac{20}{100}[/tex] * x
= [tex]\frac{x}{5}[/tex]
now,
C.p = profit + s.p.
x = [tex]\frac{x}{5}[/tex] + 816
x = [tex]\frac{x+ 4080}{5}[/tex]
5x = x + 4080
5x-x = 4080
4x = 4080
x = [tex]\frac{4080}{4}[/tex]
x = Rs 1080
Hence, the c.p is Rs. 1080
find the square root and of 1+i√3
find the square root and of 1+i√3
find the median and mean of the data set below :
Answer:
Median = 15
Mean = 22
Step-by-step explanation:
Median = first lets arrange the data type from smallest to biggest and select the middle number as it will be our median
1, 11, 14, 15, 31, 35, 47
the middle number is 15
so 15 will be our median
Mean = [tex]\frac{sum of all numbers }{total numbers\\}[/tex] sum of all numbers divided by the number of values in the set
[tex]\frac{1 + 11 + 14 + 15 + 31 + 35 + 47}{7}[/tex]
= [tex]\frac{154}{7}[/tex]
= 22
so our mean will be 22
Find x and y in the figure
Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
A is (1, –2) and B is (3, 6).
a. Find the length of AB.
b. Find the mid-point of AB.
c. Find the equation of the perpendicular
bisector of AB.
Answer:
I know mid point is (2,2)
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which ratio is not equivalent to the others?
A. 27:45
B. 1520
C. 9:15
D. 3 to 5
Answer:
B. 15:20
Step-by-step explanation:
The simplest of all ratios is 3 to 5 since they are prime numbers; therefore, all the ratios but 1 will equal to 3 to 5.
Ratio A: 27 and 45 have a common factor of 9 so when you do (27 ÷ 9) to (45 ÷ 9) you get 3:5.
Ratio B: 15 and 20 have a common factor of 5, so when you do (15 ÷ 5) to (20 ÷ 5), you get 3:4. 3:4 is not equivalent to 3:5.
Ratio C: 9 and 15 have a common factor of 3, so when you do (9 ÷ 3) to (15 ÷ 3), you get 3:5.
The only one that isn't equivalent to 3:5 is B.
Hope this explanation helps :)
What is the median for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
6
7
10
12
12
13
Answer:
11
Step-by-step explanation:
If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.
6, 7, 10, 12, 12, 13
Cross off all numbers until you get to the middle:
6, 7, 10, 12, 12, 13
Find the mean of the numbers in the middle:
10 + 12 = 22
22 / 2 = 11
The answer is 11
Hope this helped.
Answer:
11
Step-by-step explanation:
10+12=22
22÷2=11
median is equal to the middle number after being arranged in ascending order.
PLEASE HELP ASAP! NO SCAMS ALLOWED!
Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
[tex]V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx[/tex]
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
[tex]V=\pi\int\limits^5_3 {3^2}-0^2 \, dx[/tex] and
[tex]V-\pi\int\limits^5_3 {9} \, dx[/tex] and integrating:
[tex]V=\pi(9x\left \} {{5} \atop 3}} \right.[/tex] and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
find the value
여
3
13
- 9
65
Answer:
pls correct your question
what is the answer to 7b-7-8b= -15
Answer:
b=8
Step-by-step explanation:
7b-7-8b=-15
Combine like terms
-b-7=-15
Add 7 on both sides
-b=-15+7
-b=-8
Divide by -1
b = 8
Answer: b = 8
Step-by-step explanation:
Given
7b - 7 - 8b = -15
Combine like terms
-b - 7 = -15
Add 7 on both sides
-b - 7 + 7 = -15 + 7
-b = -8
Divide -1 on both sides
-b / -1 = -8 / -1
b = 8
Hope this helps!! :)
Please let me know if you have any questions
What is the axis of symmetry for y = 3x^2 + x - 2
Can an infinite arithmetic series ever converge?
5. In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given Hence find the measures of the following angles (1) LART (ii) ZCTO (iii) ZDTO (iv) ZPRB
True or False: A rational number can be expressed as the quotient a/b where b ≠ 0.
Answer:
true?
Step-by-step explanation:
A rational number can be expressed as the quetient a\b where b=0 is true
Evaluate the function.
f(x) = -x² + 6
Find f(-3)
Answer:
f(- 3) = - 3
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x) , that is
f(- 3) = - (- 3)² + 6 = - 9 + 6 = - 3
Answer:
-3
Step-by-step explanation:
Have x= -3.
f(-3) = -(-3)² + 6
= -3
This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.
n = d + 74
The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?
Answer:
16+74
Step-by-step explanation:
substitute 16 into the equation
simplify the below equation
[tex]( {8x^{2} y^{3} )( \frac{3}{8}x {y}^{4} )[/tex]
Answer:
3x^3y^7.
Step-by-step explanation:
8 * x^2 * y^3 * 3/8 * x * y^4
= 8 * 3/8 * x^2 * x * y^3 * y^4
= 3x^3y^7.
Answer:
3x^3y^7
Step-by-step explanation:
( 8 x^2 y^3) *( 3/8 x y^4)
Multiply the coefficients
8 * 3/8 = 3
Multiply the x terms
x^2*x = x^3
Multiply the y terms
y^3 * y^4 = y^(3+4) = y^7
Put them back together
3x^3y^7
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Submit Answer
Answer:
attempt 1 out of 2
Các câu nào trong các câu sau là mệnh đề? Nếu là mệnh đềhãy xác định tính đúng sai của chúng
a.“Hà Nội là thủđô của Việt Nam”
b. “5 6 3.4 7 12 ”
c. “Hôm nay trời đẹp quá“
d. “21 0x luôn có nghiệm”
e. “Phương trình 21 0x vô nghiệm”
. “7263là sốchính phương”
g. “447 2chia hết cho 5”
h. “210-1 chia hết cho 11
Answer:
higddthhgffhjkkkmjguyfddd
can someone please help me
Answer:
#7 -94% = -0.94-.925 = -0.925-8/9 = - 0.888-9/10 = - 0.9Ascending order:
- 0.94 < -0.925 < -0.9 < -0.888 or-94% < -0.925 < -9/10 < - 8/9#8√170 ≈ 13.03813.5 64/5 = 12.813 7/8 ≈ 13.875Decreasing order:
13.875 > 13.5 > 13.038 > 12.8 or13 7/8 > 13.5 > √170 > 64/5Find the quotient. Write your answer in scientific notation.
(4.2×10^2)÷(1.5×10^3)=
A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
The area of the cross section that is perpendicular to the base and created by a plane that slices the prism through the diagonals of the base and its opposite face is
square inches.
Answer:
Step-by-step explanation:
The cross-section is an 8”×13” rectangle.
Area = 104 square inches
When the input is 1, what is the output of the function? That is, find the value of g(1).
Answer:
g(1) = 1
Step-by-step explanation:
In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).
The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).
Help please Algebra 1
Simplify 4y-6yx+y
