Answer:
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
Step-by-step explanation:
Step(i):-
Given that the trigonometric function
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
we know that sin²∝ + cos²∝ = 1
⇒ sin²∝ = 1- cos²∝
Now we have to simplify the given trigonometric function
= [tex]\frac{cosec\alpha(sin^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
= [tex]\frac{cosec\alpha(sin \alpha ) }{ cos\alpha }[/tex]
Step(ii)
we know that cosec∝ = 1/ sin∝
= [tex]\frac{\frac{1}{sin\alpha } (sin \alpha ) }{ cos\alpha }[/tex]
After cancellation sine function, we get
= [tex]\frac{1 }{ cos\alpha } = sec\alpha[/tex]
Final answer:-
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
The price of a stock decreased $2 each day for seven consecutive days what was the total change in value of the stock over the seven days
Answer:
The stock lost $14 in 7 days
Step-by-step explanation: I know how to multiply.
The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.
It is given that:
The price of a stock by decreased $2 each day for seven consecutive days
The price of a stock decreased by $2 per day for seven consecutive days.
Each day the cost is decreased by $2
Therefore, in 7 days the total reduction in cost is: 7×2= $ 14
So, the total change in the value of the stock is: -$ 14.
The total change in the value of the stock over the seven-day period is:
It decreased by $ 14
Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.
Learn more about the arithmetic operation here:
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There are 4 boys eating oranges. Each boy eats 1 / 2 of an orange. How many oranges did the boys eat?
Answer:
2 oranges
Step-by-step explanation:
Two halves make a whole orange, and since there's four of them, they are eating 2 oranges.
Answer:they would have eaten 2 because 1/2+1/2 is a whole and since there are 4 boys eating 1/2 of an orange they would have eaten 2 oranges
The list of ordered pairs is a function. which of the following to be the missing ordered pair? (12,6) (3,1) (2,-2) (5,10) (-8, -4) (___,___)
Answer:
D
Step-by-step explanation:
the awnser is D
Answer:
8,8
Step-by-step explanation:
A blueprint uses a scale factor of 3 inches = 2 feet. What is the area on the blueprint of a 3,500 square foot house in inches?
Answer:
7875 square inches
Step-by-step explanation:
4ft^2 = 2ft * 2ft
4ft^2 = 3in * 3in
4ft^2 = 9in^2
For 3,500 square foot
3,500 square foot = x
Divide bith expressions
4/3500 = 9/x
4x = 9 * 3500
4x = 31500
x = 31500/4
x = 7875 square inches
Hence the area of the house in inches is 7875 square inches
Help me! Which is the right correct answer?
Answer:
the way bottom one i think i dont rember planes anymore
Step-by-step explanation:
Answer:
(-4 1/2,3) is the final result.
Step-by-step explanation:
V(4 1/2, -3)
The order of the reflections do not matter.
So if I consider the x axis first, only the y value will change. Seems weird, but try doing this on a piece of scrap paper.
(4 1/2, 3 ) is the new point. The point is reflected an equal distance behind the mirror on the x axis.
Now do the y axis. Only the x value of the point is changed.
(-4 1/2, 3) is what happens.
===================================
Does the order matter?
V(4 1/2, - 3) goes across the y axis to become (-4 1/2 , - 3)
V'(-4 1/2, -3) goes across the x axis to become (-4 1/2, 3) which is exactly what we got before.
Order does not matter for these 2 transformations.
Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour
Answer:
He walked at 1 mile per hour
Step-by-step explanation:
Answer:
He walked at 1 mph
Step-by-step explanation:
You roll a six sided die . What is the probability that the value of the roll will be a two or six ?
Answer:
2 out of 6
Step-by-step explanation:
I think its this because out of the 6 sides you are hoping that two of the outcomes are true
Which of the following problems would NOT have a solution?
Pablo has 30 pieces of candy and wants to divide them into 6 equal piles. You want to know how many pieces will be in each pile.
Pablo has 6 pieces of candy and wants to divide them into 4 equal piles. You want to know how many pieces will be in each pile.
Pablo has 0 pieces of candy and wants to divide them into 6 equal piles. You want to know how many pieces will be in each pile.
Pablo has 6 pieces of candy and wants to divide them into 0 equal piles. You want to know how many pieces will be in each pile.
Answer:
the last scenario
Step-by-step explanation:
you cannot divide anything by zero -- it's considered to be undefined
Simplify this expression.
6x + 3 – 4x + 2y + 7
Answer:
2x + 10 + 2y
Step-by-step explanation:
6x + 3 – 4x + 2y + 7
(6x - 4x) = 2x
2x + 3 +2y + 7
(3 + 7) = 10
Answer: 2x + 10 + 2y
HELP ME PLS stock worth $60 a share dropped in value by 20% on Monday. Then it dropped again by 10$ the next Tuesday. And finally increased by 55% the following Friday. What was the final price of a share?
Answer:
58.90
Step-by-step explanation:
what is the real answer to infinity+infinity
Answer:
infinity
Step-by-step explanation:
Answer:
2(infinity) or 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Ten more than 2 times a number, n, is 16. What is the value of n?
A.
3
B.
–13
C.
–3
D.
13
Answer:
A
Step-by-step explanation:
Turn into equation
2n+10=16
Subtract 10 from both sides
2n=6
Divide by 2 from both sides
n=3
Any method to solve the quadratic equetion below over the set of complex numbers.
2x(x+6)=(x-4)(x+3)
Please solve if so thank you so much!!
Answer:
60 x 4
Step-by-step explanation:
Answer:
y=35x+60
x=4
Step-by-step explanation:
10% of ________ is 7
25% of ________ is 6
Answer:
I got
10% of 70 is 7
Answer:
First one is 70
Second one is 24
Step-by-step explanation:
First one :7*100=700
700÷10=70
The second one :6*100=600
600÷25=24
If 0 = 35, then solve for X.
X
9
Round to the nearest hundredth.
Answer:
x = 15.69
Step-by-step explanation:
Given that,
Height, h = 9
Hypotenuse, H = x
Angle, [tex]\theta=35[/tex]
We need to find the value of x.
The relation between height, Hypotenuse and the angle is given by :
[tex]\sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\sin(35)=\dfrac{9}{x}\\\\x=\dfrac{9}{\sin(35)}\\\\x=15.69[/tex]
So, the value of x is 15.69.
Suppose that a chemist is mixing two acid solutions, one of 15% concentration and the other of 25% concentration. Which of the following concentrations could not be obtained?
Choose the correct answer below.
Answer: d. 29%
Step-by-step explanation:
The mixture of the two concentrations should equal a concentration that is between the concentration percentages of the two solutions.
This is because the lower concentration percentage will pull the higher one down while the higher concentration will pull the lower one up. It will not be possible to get a mixture concentration that is lower than the lower concentrated acid or higher than the higher concentration acid.
Mixture concentration must be between 15% and 25%.
Option D at 29% is therefore not possible.
Pls help extra points and mark brainlist
Step-by-step explanation:
that seems like a decimal? 2.8?
9+6²-2.8
9+36-2.8
42.2
hope it helps.
have a great day :)
112 yards
R
Sand
15 yards
Trap
20 yards s
If RS is parallel to AB, what is the width of the sand trap?
149 yards
82 yards
107 yards
84 yards
Answer:
my teacher has cancer please help her at #snowmanchallenge
Step-by-step explanation:
try to spread the help every snowman is ten dollars for her
Answer:
84
Step-by-step explanation:
112/20= 5.6
5.6*15=84
brainly is easy
Which equation is a linear function?
y= 2 + 3
y = 22 - 1
y= 22 +7
solve the questions bellow
Answer:
1. 29.67°
2. 68.96°
3. 89.85°
Step-by-step explanation:
1. Reference angle = x
Opposite = 45 cm
Adjacent = 79 cm
Therefore:
[tex] tan(x) = \frac{45}{79} [/tex]
[tex] tan(x) = 0.569620253 [/tex]
[tex] x = tan^{-1}(0.569620253) [/tex]
[tex] x = 29.67 [/tex] (nearest hundredth)
2. Reference angle = B
Opposite = 14
Hypotenuse = 15
Therefore:
[tex] sin(B) = \frac{14}{15} [/tex]
[tex] sin(B) = 0.93333 [/tex]
[tex] B = sin^{-1}(0.93333) [/tex]
[tex] B = 68.96 [/tex] (nearest hundredth)
3. Reference angle = x
Adjacent = 238,900 mi
Hypotenuse = 92,955,807 mi
Therefore:
[tex] cos(x) = \frac{238,900}{92,955,807} [/tex]
[tex] x = cos^{-1}(\frac{238,900}{92,955,807}) [/tex]
[tex] x = 89.85 [/tex] (nearest hundredth)
Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins,
Alan uses 5 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 3 cup of oil and 1 egg. Alan has 4 cups of
oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan
wants to maximize the money raised at the bake sale. Let x represent the number of trays of blueberry muffins and
y represent the number of trays of bran muffins Alan bakes.
What are the constraints for the problem?
Answer:
1/3x + 1/2y < or equal to 12
2x + y < or equal to 12
x > or equal to 0
y > or equal to 0
1/3x + 1/2y < or equal to 4
Step-by-step explanation:
none
Answer:
A on edge :)
Step-by-step explanation:
edge2021
Use your knowledge of special right triangles to find y. Write your answer in simplest radical form.
Please be quick
Answer:
[tex] \sin(30°) = \frac{10}{y} \\ \frac{1}{2} = \frac{10}{y} \\ \boxed{y = 20 \: mi}[/tex]
or,
[tex] \cos(60°) = \frac{10}{y} \\ \frac{1}{2} = \frac{10}{y} \\ \boxed{y = 20 \: mi}[/tex]
20 mi is the right answer.HELP HELP!! WILL MARK BRAINILEST!!
Answer:
A
Step-by-step explanation:
can you please mark me brainlest :D
Which of the following expressions has the greatest value?
110
33
52
25
Answer:
2^5
,,,,,,,,,,, ,,,,,,,,,
can anyone please help with this???
Answer:
car is decelerating
Step-by-step explanation:
What is the value of 6x - 3y if x = 5 and y = -1?
F. 11
G. 33
H. 65
I. 65
Answer:
G. 33
Step-by-step explanation:
[tex]6x - 3y \\ 6(5) - 3( - 1) \\ 30 + 3 \\ 33[/tex]
Now, if x = 5 and y = -1
6(5) -3(-1)
= 30+3
= 33
need help asap please
Answer:
16°
Step-by-step explanation:
We know that in parallelogram opposite angles are equal so
4u - 8° = 6u - 40°
6u - 4u = 40° - 8°
2u = 32°
u = 32° /2
u = 16°
The value of u should be 16° to make PQRS parallelogram.
Hope it will help.
Answer:
[tex]\displaystyle 16 = u[/tex]
Step-by-step explanation:
Diagonal, opposite angles are congruent in every parallelogram:
[tex]\displaystyle [5u + 44]° = [14u - 100]° → -144 = -9u; 16 = u \\ \\ AND/OR \\ \\ [6u - 40]° = [4u - 8]° → -32 = -2u; 16 = u[/tex]
No matter which pair you take, you will ALWAYS arrive at the same exact solution.
I am joyous to assist you at any time.
A planner assembles party favor bags filled with glow sticks and temporary tattoos for a client. There are 24 glow sticks and 30 temporary tattoos to divide evenly among the bags.
If there are no leftover items, what is the greatest number of bags the planner can assemble
Answer: The greatest number of bags is 6.
Step-by-step explanation:
In each bag, there would be 4 glow sticks and 5 tattoos, which is the greatest number that can be put in each bag without having any left.
The factory makes 400 cars per day. If the workday is eight hours long. What is the hourly rate at which car are produced
Answer:
50
Step-by-step explanation:
400/8 =50