Answers
Answer: a) cot x - cot x cos x
Step-by-step explanation:
[tex]\dfrac{\sin x}{\sec x+1}\bigg(\dfrac{\sec x-1}{\sec x-1}\bigg)\\\\\\=\dfrac{\sin x(\sec x-1)}{\tan^2 x}\\\\\\=\dfrac{\sin x\sec x-\sin x}{\tan^2 x}\\\\\\=\dfrac{\sin x\sec x}{\tan^2}-\dfrac{\sin x}{\tan^2 x}\\\\\\=\dfrac{\frac{\sin x}{\cos x}}{\frac{\sin x}{\cos x}\tan x}-\dfrac{\sin x}{(\frac{\sin x}{\cos x})^2}\\\\\\=\dfrac{1}{\tan x}-\dfrac{\cos x\cos x\sin x}{\sin x\sin x}\\\\\\=\large\boxed{\cot x-\cot x\cos x}[/tex]
Related Questions
1. Which of the following conversions is possible?
O Feet to Miles
O Pounds to Inches
O Grams to Centimeters
0 Meters to Liters
Answers
Answer: feet to miles
Step-by-step explanation:
Answer:
feet to miles
Step-by-step explanation:
feet to miles is the possible conversion
because the rest are two different type of measurements
What is the length of BD?
Answers
Answer: BD = 9 units
Step-by-step explanation:
ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.
19.2 / 32 = 0.6
15 * 0.6 = 9
So the length of side BD is 9 units.
Answer:
9 units
Step-by-step explanation:
Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.
Answers
Answer:
125°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 (octagon), thus
sum = 180° × 6 = 1080°
let x represent one of the equal angles, then
3x + 705 = 1080 ( subtract 705 from both sides )
3x = 375 ( divide both sides by 3 )
x = 125
Thus the size of one equal angle = 125°
12. Where do the lines y = 5 and x = -7 intersect?
Answers
Answer:
(-7,5)
Step-by-step explanation:
y = 5 and x = -7
The lines intersect at the point x=-7 and y =5
(-7,5)
A two-factor research study has 2 levels of factor A and three 3 of factor B with n = 8 participants in each treatment condition. For this study, what is the value for dfbetween treatments? a.5b.4c.3d.6
Answers
Answer:
a.5
Step-by-step explanation:
The computation of the value for df^{between treatments} is shown below:
According to the question, the data provided is as follows
Two levels of factor A
And, there are three of factor B
So, the total number of treatment conditions is
= 2 × 3
= 6
Now the value for df^{between treatments} is
= 6 - 1
= 5
Hence, the correct option is a.5
The value for df between treatments is (a) 5
The given parameters are:
[tex]\mathbf{A = 2}[/tex] --- levels of factor A
[tex]\mathbf{B = 3}[/tex] --- levels of factor B
Start by calculating the total number of treatment conditions (n)
[tex]\mathbf{n = A \times B}[/tex]
So, we have:
[tex]\mathbf{n = 2 \times 3}[/tex]
[tex]\mathbf{n = 6}[/tex]
Calculate the degrees of freedom (df)
[tex]\mathbf{df = n - 1}[/tex]
Substitute 6 for n
[tex]\mathbf{df = 6 - 1}[/tex]
[tex]\mathbf{df = 5}[/tex]
Hence, the difference is (a) 5
Read more about degrees of freedom at:
https://brainly.com/question/8605632
If Tanø =a/b Find the value of sinø+cosø/sinø-cosø
Answers
Answer:
[tex]\frac{b+a}{b-a}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{perpendicular}{base}[/tex] = [tex]\frac{b}{a}[/tex]
So, Perpendicular = b, base = a
Finding hypotenuse by Pythagorean Theorem:
[tex]c^2 = a^2+b^2[/tex]
=> So, hypotenuse = c
Sin θ = [tex]\frac{perpendicular}{hypotenuse}= \frac{b}{c}[/tex]
Cos θ = [tex]\frac{base}{hypotenuse}= \frac{a}{c}[/tex]
So, Now finding [tex]\frac{sin\theta+cos\theta}{sin\theta-cos\theta}[/tex]
=> [tex]\frac{b}{c} + \frac{a}{c}[/tex] ÷ [tex]\frac{b}{c} - \frac{a}{c}[/tex]
=> [tex]\frac{b+a}{c}[/tex] ÷ [tex]\frac{b-a}{c}[/tex]
=> [tex]\frac{b+a}{c} * \frac{c}{b-a}[/tex]
=> [tex]\frac{b+a}{b-a}[/tex]
HELP ME PLEASE AND FAST HURRY
Answers
Answer:
(1,0)
Step-by-step explanation:
The vertex is the maximum of the parabola
It is at x=1 and y = 0
(1,0)
Answer:
(1, 0)
Step-by-step explanation:
In simpler words, the vertex of a parabola is where it bends.
40% of the student in a class are female. if there are 10 females in the class, how many males are there in the class
Answers
What we were given:
40% of the student in a class are female. if there are 10 females in the class, how many males are there in the class
Answer:
15 males
The total no. of males in a class is 15.
To find the no. of males.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.
Given that:
If females are 40% , % of males =100-40=60%.
Let the total no. of students be x.
No. of girls = 40% of x
10= (40/100) * x
x=(10*100)/40
x= 25
total no. of students =25
Total no. of males = 60% of x
=(60/100)* 25
=15
So, total no. of males in a class is 15.
Learn more about arithmetic here:
https://brainly.com/question/17131987
#SPJ2
help please!!!! ty :)
Answers
Answer:
I think the answer should be 112
I'm guessing the supports in the water are equally distanced. Therefore, I'd divide 168 by four to get a singular distance between two supports. I got 42 yards.
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 1% margin of error at a 99% confidence level, what size of sample is needed
Answers
Answer:
16589.44
Step-by-step explanation:
z score for 99% confidence interval = 2.576
Margin of error = 1% = 0.01
Formula =
Margin of error = z score × p(1 - p)/n
0.01=2.576 × √ (0.25)/n
0.01=2.576 × 0.5/√ (n)
Crops Multiply
0.01× √ (n) = 2.576 × 0.5
divide both sides by 0.01
√(n) = 2.576 × 0.5/ 0.01
√n =128.8
Square bother sides
n = 128.8²
n = 16589.44
Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto. ¿Cuánto tiempo le llevará a cada uno si juntos pueden hacer el trabajo en 3h?
Answers
Answer:
El tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
Step-by-step explanation:
Para calcular el tiempo que le llevará a cada uno si juntos pueden hacer el trabajo en 3h, tenemos que primero segun los datos considerar lo siguiente:
Segun los datos tenemos que Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto, por lo tanto:
2X=Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto
X=El tiempo que le toma a Alberto.
Por lo tanto calculando la siguiente ecuacion, podremos hallar el valor de X:
2X+X=3 horas
3X=3 horas
X=1 hora
Entonces, tenemos que el tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
write an equation of the line that passes through (4,-6) and is parallel to the line y=-3x-9
Answers
Answer:
y - 7 = 3(x - 3)
y - 7 = 3x - 9
y = 3x - 2
Step-by-step explanation:
Hope this helped you!
Find the values of y = p(x) = √x for x = 0, 1.44, 2.25, 3.24, 4.41, 5.29.
Answers
Answer:
The correct answers are:
[tex]\sqrt{0}=0\\\sqrt{1.44} = \pm 1.2\\\sqrt{2.25} = \pm 1.5\\\sqrt{3.24} = \pm 1.8\\\sqrt{4.41} = \pm 2.1\\\sqrt{5.29} =\pm 2.3[/tex]
Step-by-step explanation:
Given the function:
[tex]y=p(x)=\sqrt{x}[/tex]
That means, the value that we give as input i.e. the value of x is square rooted and given as output.
Input is x and output is [tex]\sqrt x[/tex].
Now, calculating the outputs for different values of x:
1. x = 0, the square root of 0 is always 0.
so, y = p (0) = 0
2. x = 1.44
[tex]y = p(1.44)=\sqrt{1.44} \\\Rightarrow \sqrt{\dfrac{144} {100}}\\\Rightarrow \pm \dfrac{12} {10} = \pm 1.2[/tex]
Similarly other square roots can be calculated:
3. x = 2.25
[tex]y = p(2.25)=\sqrt{2.25} \\\Rightarrow \sqrt{\dfrac{225} {100}}\\\Rightarrow \pm \dfrac{15} {10} = \pm 1.5[/tex]
4. x = 3.24
[tex]y = p(3.24)=\sqrt{3.24} \\\Rightarrow \sqrt{\dfrac{324} {100}}\\\Rightarrow \pm \dfrac{18} {10} = \pm 1.8[/tex]
5. x = 4.41
[tex]y = p(4.41)=\sqrt{4.41} \\\Rightarrow \sqrt{\dfrac{441} {100}}\\\Rightarrow \pm \dfrac{21} {10} = \pm 2.1[/tex]
6. x = 5.29
[tex]y = p(5.29)=\sqrt{5.29} \\\Rightarrow \sqrt{\dfrac{529} {100}}\\\Rightarrow \pm \dfrac{23} {10} = \pm 2.3[/tex]
Hence, The correct answers are:
[tex]\sqrt{0}=0\\\sqrt{1.44} = \pm 1.2\\\sqrt{2.25} = \pm 1.5\\\sqrt{3.24} = \pm 1.8\\\sqrt{4.41} = \pm 2.1\\\sqrt{5.29} =\pm 2.3[/tex]
Each number in a sequence is formed by doubling the previous number and then adding 1. If the ninth number in the sequence is63, what is the 10th number minus the 7th number?
Answers
Answer:
[tex]T_{10} - T_7 = 112[/tex]
Step-by-step explanation:
Given
[tex]T_9 = 63[/tex]
Required
Find [tex]T_{10} - T_7[/tex]
From the question, we have that:
Each sequence = 2 * Previous sequence + 1;
i.e.
[tex]T_n = 2 * T_{n - 1} + 1[/tex]
Considering the 9th sequence;
[tex]T_9 = 2 * T_8 + 1[/tex] ------ Equation 1
Considering the 8th sequence;
[tex]T_8 = 2 * T_7 + 1[/tex]
Substitute [tex]2 * T_7 + 1[/tex] for [tex]T_8[/tex] in equation 1
[tex]T_9 = 2 * T_8 + 1[/tex] becomes
[tex]T_9 = 2 * (2 * T_7 + 1) + 1[/tex]
Open bracket
[tex]T_9 = 2 * 2 * T_7 + 2*1 + 1[/tex]
[tex]T_9 = 4T_7 + 2 + 1[/tex]
[tex]T_9 = 4T_7 + 3[/tex]
Substitute 63 for [tex]T_9[/tex]
[tex]63 = 4T_7 + 3[/tex]
Subtract 3 from both sides
[tex]63 - 3 = 4T_3 + 3 - 3[/tex]
[tex]60 = 4T_3[/tex]
Divide both sides by 4
[tex]\frac{60}{4} = \frac{4T_3}{4}[/tex]
[tex]15 = T_7[/tex]
[tex]T_7 = 15[/tex]
Considering [tex]T_{10}[/tex]
[tex]T_1_0 = 2 * T_9 + 1[/tex]
Substitute 63 for [tex]T_9[/tex]
[tex]T_1_0 = 2 * 63 + 1[/tex]
[tex]T_1_0 = 126 + 1[/tex]
[tex]T_1_0 = 127[/tex]
Calculating [tex]T_{10} - T_7[/tex]
[tex]T_{10} - T_7 = 127 - 15[/tex]
[tex]T_{10} - T_7 = 112[/tex]
Hence, the 10th - 7th number is 112
In 2004, the world's fastest knitter was able to knit 225 stitches in 3 min. How long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimetre?
Answers
It will take her 49.15 seconds to knit the scarf.
Since in 2004, the world's fastest knitter was able to knit 225 stitches in 3 min, to determine how long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimeter, the following calculation must be performed:
0.2 x 120 = Area 24 cm2 = Area 1.6 x 1.6 = 2.56 stitches per cm2 24 cm2 x 2.56 = 61.44 225/3 = 75 61.44 / 75 = 0.8192 1 = 60 0.8192 = X 0.8192 x 60 = X 49.15 = X
Therefore, it will take her 49.15 seconds to knit the scarf.
Learn more about maths in https://brainly.com/question/9230316
Solve the summation from n equals 2 to 9 of negative 3 plus 5 times n. 196 198 243 248
Answers
Answer:
196
Step-by-step explanation:
Answer:
196
Step-by-step explanation:
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride? A)$0.20 B)$0.02 C) $2.20 D)$2.00
Answers
Answer:
c
Step-by-step explanation:
Any ride takes $2.00 and one mile takes $0.20.
Cost = $0.20 + $2.00
Cost = $2.20
What is the length of the missing side? 6.7 49 45 None of these choices are correct.
Answers
Answer:
b = sqrt(45)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and be are the legs and c is the hypotenuse
2^2 + b^2 = 7^2
4 + b^2 = 49
Subtract 4 from each side
b^2 = 49-4
b^2 = 45
Take the square root of each side
sqrt(b^2) = sqrt(45)
b = sqrt(45)
If, 3a/b= 12 what is the value of (-a/-b)
Answers
Answer:
A ; -4
Step-by-step explanation:
3a = 12b then a = 4b (dividing by 3)
we put 4b in the equation instead of a:
(-4b / b) = -4
.. ..
Answer:
A. -4
Step-by-step explanation:
3a/b = 12
Let b = 2
3a/2 = 12
3a = 24
a = 8
( - a/b)
( - 8/2)
( - 4)
A bag has one white, two black, three red and four green marbles. If a single marble is randomly drawn from this bag, what is the probability it is black or white? Express your answer as a common fraction.
Answers
Answer:
3/10
Step-by-step explanation:
This is mutually exclusive, meaning they cannot happen at the same time, you cannot pickup a marble and it cant be both black and white. So all we do now is just add the probabilities of getting a black marble and white marble
P(picking a black marble) = 2/10
P(picking a white marble) = 1/10
Add them
2/10 + 1/10 = 3/10
7. In 2015 a club has 250 members who each
pay
$95 annual subscription.
In 2016 the membership increases by 4% and the annual subscription is
increased by 6%. What is the total income from subscriptions in 2016?
Answers
2015:
250 members
$95 annual subscription
2016
250 members + 4%
$95 annual subscription + 6%
Work:
250 x 1.04 = 260
95 x 1.06 = 100.7
260 x 100.7 = 26,182
Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7
Which situation is best represented using a negative integer? A)a deposit of $35 into a bank account B)the temperature decreasing by 18º C)an additional 5 gallons of gas being put into a car D)a student reading today for 20 minutes longer than yesterday
Answers
Answer:
B
Step-by-step explanation:
Answer:
I don't know if I'm right but i think it's B
Step-by-step explanation:
again, I'm not so sure, so if I'm wrong please correct me
Only answer if your are 100% sure.
Answers
Answer:
It is zero
Step-by-step explanation:
The attatched should help you understand discriminants:
Answer:C
Step-by-step explanation:
If the discriminant is negative you will have no real roots, if it is positive it will have 2 real roots, only with a discriminant of 0 will you get only one real root. Also, for undefined discriminant that is the same as a negative answer.
Find the slope of the line that passes through (3, 6) and (6, 10). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
4/3
Step-by-step explanation:
To find slope use the formula (y2-y1)/(x2-x1)
In this case it is (10-6)/(6-3)
4/3
I NEED HELP ASAP!!! MIGHT MARK BRAINLIEST
Answers
Answer:
the temp now is 0 degrees
-12+12=0
Step-by-step explanation:
hope i helped
brainliest pls!
-Zylynn
Explanation: It was -12 degrees in the morning, and it became 12 degrees in the afternoon. So, the temperature needs to go up 12 degrees first, which becomes 0, and then go up another 12 degrees to become 12. So the total temperature rise was 24.
Change 80265 gram to kilogram
Answers
Hey there! :)
Answer:
80.265 kg.
Step-by-step explanation:
1 kilogram = 1000 grams. Therefore:
[tex]\frac{80265g}{1} * \frac{1 kg}{1000g} = \frac{80265kg}{1000} = 80.265 kg[/tex]
80265 grams = 80.265 kg.
Answer:
80.265 kg
Step-by-step explanation:
1 kilogram is equivalent to 1,000 g. Therefore, the decimal point goes 3 spaces to the left to divide by 1,000, which is one rack ayyy.
?
Match each ratio to an equal ratio. Drag the items on the left to the
correct location on the right.
1:4
4:48
1:3
4:6
2:3
2:8
1:12
2:6
Answers
Answer:
2:8 is the ratio to an equal ratio
A chemist is using 367milliliters of a solution of acid and water. If 18.4% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answers
Answer:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
Step-by-step explanation:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
PLEASE HELP!! use trigonometry to solve for the missing side of x of the right triangle
Answers
Answer:
x = 10.7775
Step-by-step explanation:
We can see that we need to use sin∅ to help solve for x:
sin56° = x/13
13sin56° = x
x = 10.7775
Answer:
10.77
Step-by-step explanation:
Pretty easy stuff, basically you use the sin ratio to solve this.
so it would be sin(56) = x/13
then you multiply 13 to sin(56)
and get 10.77.
Hope this helped :)
Plssssssssssssss help me it’s due tomorrow I really need help I will mark brainliest!!!
Answers
Answer:
∠BAD = 100°
∠ADC = 105°
∠DCB = 50°
∠ABC = 105°
Step-by-step explanation:
∠BAD is given.
∠ADC is supplementary to the 75°, so it is 180-75 = 105°
∠DCB is 50° just like its opposite angle
The sum of all angles in a quadrilateral must be 360, so ∠ABC = 360-100-105-50 = 105.
Angle ADC = 75 degrees (vertically opposite)
Angle DCB = 130 ( 180-50= 130, angles in a straight line add up to 180 degrees)
Angle CBA=
75+75 = 150
360-150 = 210 (angles around a point add up to 360 degrees)
210/2= 105 (divide by two to find the size of one angle)
So,
105+100+50 = 255
Angles inside a quadrilateral add up to 360
360-255= 105
Angle CBA =105