Answer:
First, we know that:
cot(x) = cos(x)/sin(x)
csc(x) = 1/sin(x)
I can't know for sure what is the exact equation, so I will assume two cases.
The first case is if the equation is:
[tex]\frac{cot(x)}{sin(x)} - csc(x)[/tex]
if we replace cot(x) and csc(x) we get:
[tex]\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}[/tex]
Now let's we can rewrite this as:
[tex]\frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)} =\frac{cos(x)}{sin^2(x)} - \frac{1}{sin(x)}[/tex]
[tex]\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}[/tex]
We can't simplify it more.
Second case:
If the initial equation was
[tex]\frac{cot(x)}{sin(x) - csc(x)}[/tex]
Then if we replace cot(x) and csc(x)
[tex]\frac{cos(x)}{sin(x)}*\frac{1}{sin(x) - 1/sin(x)} = \frac{cos(x)}{sin(x)}*\frac{1}{sin^2(x)/sin(x) - 1/sin(x)}[/tex]
This is equal to:
[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}[/tex]
And we know that:
sin^2(x) + cos^2(x) = 1
Then:
sin^2(x) - 1 = -cos^2(x)
So we can replace that in our equation:
[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1} = \frac{cos(x)}{sin(x)}*\frac{sin(x)}{-cos^2(x)} = -\frac{cos(x)}{cos^2(x)}*\frac{sin(x)}{sin(x)} = - \frac{1}{cos(x)}[/tex]
What is the value of the expression (36 1/2)² ?
Answer:
1332 1/4
Step-by-step explanation:
(36 1/2)² = (73/2)² = (73 * 73)/(2 * 2) = 5329/4 = 1332 1/4
Simplify 16x^7 y^4z/8x^4 y^3 z^3
Jeanie bought a book for $8.98, a pen for $3.27 and a ruler for $1.50. if the sales tax on each of the items is 8%, what is the total amount Jenny must pay for the items including tax?
Answer:
$14.85
Step-by-step explanation:
8.98 + 3.27 + 1.5 = 13.75
13.75 x .08 = 1.1
13.75 + 1.1 = 14.85
Answer:
$14.85
Step-by-step explanation:
8.98 x.08= 0.7184
3.27 x .08= 0.2616
1.50 x .08= 0.12
8.98 + 0.72= 9.70
3.27 + .26= 3.53
1.50 + 12 =1.62
9.70+ 3.53 +1.62 = 14.85
Let x and y be inversely related. If x is 5 when y
is 6, find y when x is 3.
Answer:
y=10
Step-by-step explanation:
x=k/y
constant of proportionality
k=xy
k=5*6
k=30
therefore x=30/y
if x=3 y=?
y=30/3
y= 10
Malik bought a pack of erasers for $3.50 and some pencils for $0.99 each. He paid a total of $10.43. Which equation can be used to find the number of pencils Andrew bought? \
Answer:
The equation that can be used to find the number of pencils Andrew bought is:
x=(c-3.50)/0.99
Step-by-step explanation:
With the information provided, you can say that the total amount paid would be equal to the price of the pack of erasers plus the price per pencil for the number of pencils purchased, which can be expressed as:
c=3.50+0.99x, where:
c is the total cost
x is he number of pencils purchased
Now, you can solve for x in order to find the equation to calculate the number of pencils Andrew bought:
c-3.50=0.99x
x=(c-3.50)/0.99
According to this, the answer is that the equation that can be used to find the number of pencils Andrew bought is:
x=(c-3.50)/0.99
Jennifer was baking cupcakes for her class. She needed to bake 35 cupcakes in all. Each cupcake needed .13 cups of sugar. How many cups of sugar will she need in order to make the 35 cupcakes?
PLEASE HELP I don't understand this stuff yet. Brainliest give away!
Answer: I think the answer is B
Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.
Answer:
c bc he should use the median cause it is in the affect the mean
Step-by-step explanation:
Determine the value of A
7th grade math help me pleaseee
Answer:
14x + 6
step by step explanation:
If all the angles are equivalent (the same), the angles must each be 60 degrees because 60 times 3 angles equals 180.
A. True
B. False
Answer: A
Step-by-step explanation: true true true
Can someone please help?
Answer:
1: The highest score is 98, the lowest score is 74.
2: 55% of the scores are greater than 84
Step-by-step explanation:
Solution 1-1:
Starting from the top left and going from left to right row by row we compare the largest number we come across with the current number we are inspecting.
Starting with 92 then we look at 88, 92 is greater than 88 so we keep 92, next is 95, 95 is greater than 92 so we keep 95, next is 74, 95 is greater than 74 so we keep 95 and so on until we have compared all of the numbers. We are left with 98
Solution 1-2:
Using a similar method to finding the greatest number we go through the list of numbers in search of the smallest number. Starting with 92 we then look at 88, 88 is less than 92 so we keep 88. Next is 95, 88 is less than 95 so we keep 88. Then 74, 74 is less than 88 so we keep 74 and so on. We are left with 74
Solution 2:
There is a total of 20 numbers in the table. By comparing the numbers in the table to 84, we can determine that 11 numbers are greater than 84.
By dividing 11 by 20 we get 0.55 which is equal to 55%
I need help!! asap angles
Answer:
i do not know
Step-by-step explanation:
ummmmmmmmm x = well you see you have to solve for x mmmmmm hhhhhhmmmmm yup
I hope the answer is helpful
Please answer correctly! I will Mark you as Brainliest!
Answer:
the answer is 40.5!
Step-by-step explanation:
First, you have to add all of the numbers up!
Which expression is equivalent to: 4x - 2 + 6x
a- 10x - 2
b- 2x - 2
C- - 2x - 2
d- 24x - 2
Answer:
a. 10x - 2
Step-by-step explanation:
4x - 2 +6x ( collect like terms )
4x +6x - 2
10x - 2
Find X.
Someone please help me lol !
Answer:
x = 9
Step-by-step explanation:
Formula
The secant and tangent lines bear the following relationship
(tangent line )^2 = the outside secant line * length of the whole line
Givens
tangent line = 15
outside secant line = x
length of whole secant line = x + 16
Solution
15^2 = x ( x + 16)
15^2 = x^2 + 16x
225 = x^2 + 16x
x^2 + 16x - 225 = 0
Answer and Discussion
The equation has two factors.
(x - 9)(x + 25) =0
x + 25 has no meaning. There cannot be a negative length in this level of geometry.
The answer is x - 9 = 0
x = 9
write an equation for a function that has vertical asymptotes at x=3 & x=-10
Answer:
[tex] \frac{5}{ {x}^{2} + 7x - 30} [/tex]
Step-by-step explanation:
We can write a rational function.
We need to make sure our denominator both have zeroes at 3 and 10.
Set an equation equal to zero to find the function
[tex]0 - x = 3[/tex]
[tex]0 - x = - 10[/tex]
[tex]0 - ( - 3) = = 3[/tex]
[tex]0 - 10 = 10[/tex]
So we would represent that's as
[tex]x - 3[/tex]
and
[tex]x + 10[/tex]
Multiply the two binomial together.
[tex](x - 3)(x + 10) = {x}^{2} + 7x - 30[/tex]
Let our numbetator be any interger.
Use any equation as long as the quadratic is the denominator and the interger is the numerator.
[tex] \frac{5}{ {x}^{2} + 7x - 30 } [/tex]
Find (a) the circumference and (b) the area of the circle. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest whole number, if necessary.
Marisol went to a hair salon for a haircut. The hair stylist cut off 3 inches of her hair. The length of her hair is now 11 inches. Let b represent the length of her hair before she went to the salon. Which of the following represents an equality between two different ways of expressing the length of Marisol's hair now?
A.b-3=11 B.b=11 C.b+3=11 D. 11b=3
Answer:
C
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation: took it on times4learning math assignment
Solve this quadratic equation
Answer:
https://www.symbolab.com/solver/step-by-step/x%5E%7B2%7D%20%2B5x%2B3%3D0
Step-by-step explanation:
Answer:
[tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex]
Step-by-step explanation:
Hello!
We can solve the quadratic by using the Quadratic Formula.
Standard form of a Quadratic: [tex]ax^2 + bx +c= 0[/tex]
Quadratic Formula: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]
Given our equation: [tex]x^2+5x+3 = 0[/tex]
a = 1b = 5c = 3Plug it into the formula and solve:
[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-5\pm\sqrt{5^2 - 4(1)(3)}}{2(1)}[/tex][tex]x = \frac{-5\pm\sqrt{25-12}}{2}[/tex][tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex]This cannot be simplified further. The answer is [tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex].
Nothing crazy here. Solve 1 step inequalities with addition and subtraction the same way you would solve an equation.
isolate the variable by performing the opposite operation to both sides
Answer:
hey, what exactly is your question? i don't really get it.
Step-by-step explanation:
Find the solution of the system of equations.
10x – 2y = 18
-10x + 9y = -46
Answer:
x=1, y=-4. (1, -4).
Step-by-step explanation:
10x-2y=18
-10x+9y=-46
------------------
7y=-28
y=-28/7
y=-4
10x-2(-4)=18
10x+8=18
10x=18-8
10x=10
x=10/10
x=1
please halp!!!!!!!!!!!!!!
Answer:
132 degrees
Step-by-step explanation:
360 - 65 - 86 -77
How many cubic inches is 18 inches
Answer:
5832 cubic inches
Find the height of a parallelogram with an area off 41 square meters and a base of 8.2 meters. Include the measurement of the shape. First to get it right gets brainliest
Answer:
I'm go take 8.2 subtract by 41 and I got 32.8
Step-by-step explanation:
Sam kicks a ball from the ground with a starting velocity of 32 feet per second. The ball soars into the air, arcs down with parabolic motion, and lands back on the ground. Write an equation to describe the height of the ball as a function of time, using h(t)=-16t^2+vt+s. PLS HELP!!!!!!
Answer:
The function that describes the height of the ball in time is [tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex].
Step-by-step explanation:
Let suppose that ball experiments a free fall motion, which means that the ball is accelerated because of gravity and gravitational acceleration can be considered constant since height reached by the object is too small in comparison with the radius of the Earth. Therefore, we can assume that ball is accelerated uniformly.
Hence, the kinematic formula for the height of the ball ([tex]h(t)[/tex]), in feet, is described below:
[tex]h(t) = s + v\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)
Where:
[tex]s[/tex] - Initial height with respect to the ground, in feet.
[tex]v[/tex] - Initial velocity, in feet per second.
[tex]t[/tex] - Time, in seconds.
[tex]g[/tex] - Gravitational acceleration, in feet per square second.
If we know that [tex]s = 0\,ft[/tex], [tex]v = 32\,\frac{ft}{s^{2}}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the function that describes the height of the ball in time is:
[tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex] (2)
The scatter plot shows the number of hours worked and money soent on etnertainment by each of 25 students . Also shown is tbe ljne of best fit for the data fill in the blanks below
Answer:
Follows are the responses to the given question:
Step-by-step explanation:
Please find the attached file for the complete question:
For point A:
The amount of money being spent appears to rise for those 25 students as the number of hours increases. This is evident from the plot of scattering as well as the best line.
For point B:
Its number of hours spent as well as the amount of money spent were also positive for such 25 students.
For point C:
Also with a line that fits best, we will indeed predict that only an 8-hour student would spend about $22.
All these are seen in a direct line drawn from the x-axis where x=8 fits this same best line and a horizontal line is drawn between that axis and the Y-axis is drawn.
Find the volume, in cubic inches, of a right rectangular prism with the measurements below. Length: 3/2" Width: 5/2" Height: 4
Answer:
Step-by-step explanation:
The volume of a rectangular prism can be calculated by multiplying the area of its base by its height.
Mathematically, we have
The volume of prism = base area X height
At this point, it is important to note that a rectangular prism is a solid shape that has its base as a rectangle; so the area of its base, is the same thing as the area of a rectangle.
Where base area = length X breadth
hence, volume = length X breadth X height
volume = 3/2 X 5/2 X 4 = 15 cubic inches
4y+ 3x= 20
is this simplified properly?
Thank you :)
Answer:
Is correct , like A= 4 B=3 C=20
please please help me!!!!!!!
Answer:
d
Step-by-step explanation:
Hope this helps! Good luck!
What is the surface area?
Answer:
The total area is 685
Step-by-step explanation:
First get the area of the square; the area of the square is the height times the width. Because its a square all of its sides are equal, 15 times 15 equals 225. Next we go to figuring out the triangles´ area; the formula to figure out a triangles area is 0.5 times height times width. Because there are 4 of the exact same triangles we only have to figure out one and we have the area for each of them. 0.5 times 20 times 15 equals 115, with that information we are able to obtain all the information we need to discover the total area.
The area of the square: 225
The area of each of the triangles: 115
If there are 4 exact triangles of 115 then that equals all the triangles together to be 460, then add the square 460 plus 225 equals 685.
Hope this helps!!