please help this is due soon
the answer is 60degree..hope it helps u
Is anybody else here to help me ??
Answer:
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
[tex]\cot(x)+\tan(x)[/tex]
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]
[tex]\csc(x)[\sec(x)][/tex]
[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]
[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]
Step-by-step explanation:
I'm going to use [tex]x[/tex] instead of [tex]\theta[/tex] because it is less characters for me to type.
I'm going to start with the left hand side and see if I can turn it into the right hand side.
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
I'm going to use a cofunction identity for the 2nd term.
This is the identity: [tex]\tan(x)=\cot(\frac{\pi}{2}-x)[/tex] I'm going to use there.
[tex]\cot(x)+\tan(x)[/tex]
I'm going to rewrite this in terms of [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] because I prefer to work in those terms. My objective here is to some how write this sum as a product.
I'm going to first use these quotient identities: [tex]\frac{\cos(x)}{\sin(x)}=\cot(x)[/tex] and [tex]\frac{\sin(x)}{\cos(x)}=\tan(x)[/tex]
So we have:
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
I'm going to factor out [tex]\frac{1}{\sin(x)}[/tex] because if I do that I will have the [tex]\csc(x)[/tex] factor I see on the right by the reciprocal identity:
[tex]\csc(x)=\frac{1}{\sin(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
Now I need to somehow show right right factor of this is equal to the right factor of the right hand side.
That is, I need to show [tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex] is equal to [tex]\csc(\frac{\pi}{2}-x)[/tex].
So since I want one term I'm going to write as a single fraction first:
[tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex]
Find a common denominator which is [tex]\cos(x)[/tex]:
[tex]\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}[/tex]
[tex]\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}[/tex]
[tex]\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}[/tex]
By the Pythagorean Identity [tex]\cos^2(x)+\sin^2(x)=1[/tex] I can rewrite the top as 1:
[tex]\frac{1}{\cos(x)}[/tex]
By the quotient identity [tex]\sec(x)=\frac{1}{\cos(x)}[/tex], I can rewrite this as:
[tex]\sec(x)[/tex]
By the cofunction identity [tex]\sec(x)=\csc(x)=(\frac{\pi}{2}-x)[/tex], we have the second factor of the right hand side:
[tex]\csc(\frac{\pi}{2}-x)[/tex]
Let's just do it all together without all the words now:
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
[tex]\cot(x)+\tan(x)[/tex]
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]
[tex]\csc(x)[\sec(x)][/tex]
[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]
[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]
Which graph represents the equation x=2?
Answer:
1)
Step-by-step explanation:
In the line that is the graph of equation x = 2, every ordered pair has 2 as its x-coordinate. That means it's a vertical line that passes through x = 2 on the x-axis.
Answer: 1)
The graph option 1) is the correct answer.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation, x = 2
We see x intercept is 2 and there is no y intercept,
We know when x = a then the line is always parallel to y-axis and here x intercept is 2 therefore the line will pass through 2 on x-axis.
In graph 1) The line is passing through 2 on x-axis and is parallel to y-axis.
Hence, The graph option 1) is the correct answer.
For more references on equations, click;
https://brainly.com/question/10413253
#SPJ5
Last January, the average cost of a one-night stay at a hotel was $132.52. Since then, the hotel has changed ownership, and
several changes have been made to the cost of staying at the hotel.
• Last summer, the new owners adjusted room prices so that the average cost of a one-night stay increased by $34.65.
Last December, the new owners offered a $57.80 per night discount to guests who belong to their loyalty club.
. Last week, the new owners introduced a service fee of $4.95 for any reservation made over the phone.
How much should a customer expect to pay for a one-night stay if they are a member of the hotel's loyalty club and make
their reservation over the phone?
Answer:
$114.32
Step-by-step explanation:
Original Price: $132.52
increased: $34.65
Loyalty Club: -$57.80
Phone Fee: $4.95
You add all of them together, except for the Loyalty Club Fee. You subtract that fee by the total.
The amount of pay for a one-night stay, if they are a member of the hotel's loyalty club and make their reservation over the phone, will be $113.77
What will be the amount?The average cost of a one-night stay at a hotel was $132.52. Since then, the hotel has changed ownership, and several changes have been made to the cost of staying at the hotel. Last summer, the new owners adjusted room prices so that the average cost of a one-night stay increased by $34.65.
Last December, the new owners offered a $57.80 per night discount to guests who belong to their loyalty club. Last week, the new owners introduced a service fee of $4.95 for any reservation made over the phone.
The price will be calculated as:-
Original Price: $132.52
increased: $34.65
Loyalty Club : - $57.80
Phone Fee: $4.95
You add all of them together, except for the Loyalty Club Fee. You subtract that fee by the total.
= 132.52 + 34.65 + 4.95 - 57.80 = $113.77
Therefore the amount of pay for a one-night stay, if they are a member of the hotel's loyalty club and make their reservation over the phone, will be $113.77.
To know more about the amount follow
https://brainly.com/question/25109150
#SPJ2
2.
Write an equation of a line with the given slope and y-intercept.
m = 1, b = 4
A. y = –1x + 4
B. y = 4x + 1
C. y = x + 4
D. y = x – 4
Answer:
the answer is C
Step-by-step explanation:
You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square feet? Use 3.14 for π
Answer:
The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.
The Area of a circle is
πr2=808.64
(3.14)r2=808.64
Divide both sides by 3.14
r2=257.5286624
Square root both sides to get radius
r=16 feet
7 feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square feet
Area of circle:What information do we have?
Area of watering pattern = 907.46 square feet
Area of watering pattern = Area of circle
Area of watering pattern = πr²
907.46 = (3.14)r²
r² = 289
r = 17
Length = 17 feet
Find out more information about 'Area'.
https://brainly.com/question/11952845?referrer=searchResults
-4(8h-5)= -16 round to the nearnest hundreth
Answer:
h=9/8 or 1.125 but since yo said round it's 1.13
Step-by-step explanation:
15 cm
4 cm
cm
V=____cm3
Answer:
V=(πr^2 x h)/3
lets use π as 3.14 cause I dont know what pi u using
3.14 x 4^2 x 15 = 753.6/3 = 251.2
If you're using π as your pi, than just replace 3.14 by π on calculator
Hope that answers your question
STUCK ON THIS CAN I GET HELP?
Answer:
are there no options
Step-by-step explanation:
?
Find the scale factor of a drawing if the scale is 1 inch = 1/8 inch
inch.
A. 1/8
B. 1
C. 1/4
D. 8
Answer:
A
Step-by-step explanation:
Can some one help me please?
Answer:
3x^3-2x^2-4x+2( option A) remainder= 7
Step-by-step explanation:
Matchsticks are used to make a sequence of
patterns:
3 , 5 , 7 ...
Find the nth term rule for the number of
matchsticks in pattern n
Answer:
Tn = 1 + 2n
Step-by-step explanation:
Given the arithmetic sequence
3 , 5 , 7 ...
The nth term of an AP is expressed as;
Tn = a + (n-1)d
a is the first term = 3
d is the common difference = 5-3 = 7-5 = 2
n is the number of terms
Substitute
Tn = 3 + (n-1)(2)
Tn = 3 + 2n-2
Tn = 1 + 2n
Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n
solve the right triangle. round your answer to the nearest tenth
Answer:
?
Step-by-step explanation:
FIND THE VALUE OF X
Answer:
x = 9
Step-by-step explanation:
diagonals bisect each other so we can set up these equations:
x+8 = 2y+5
2x = 3y
in the top equation we can solve for 'x': x = 2y-3
in the second equation we can solve for 'x': x = 3y/2
2y-3 = 3y/2
multiply each side by 2 to eliminate fractions:
4y - 6 = 3y
4y = 3y + 6
y = 6
2x = 3(6)
2x = 18
x = 9
IT AN EMERGENCY PLEASE ANSWER FAST
Answer:
Area= (22/7)* (8x^2y^8z^16)/2* (8x^2y^8z^16)/2
Step-by-step explanation:
Diameter= 8x^2y^8z^16, So Radius= (8x^2y^8z^16)/2
Area of circle= pie* r*r
= (22/7)* (8x^2y^8z^16)/2* (8x^2y^8z^16)/2
A taxi travels for 30 minutes at a speed of 28 mph. Calculate how far it travles.
Answer:
14 m
Step-by-step explanation:
Speed = 28 mph
Time = 30 minutes = 30/60 = 1/2 hour
Distance = speed * time
= 28 * [tex]\frac{1}{2}[/tex]
= 14 m
Answer:
14 miles
Step-by-step explanation:
which of the following could not be a value of probability
HELP
Step-by-step explanation:
s it will be just know the right
Three bananas and two pears cost 95p.
Five bananas and three pears cost £1.51
Find the cost of ten bananas and ten pears.
Answer:
Cost of ten bananas and ten pears is £ 3.90
Step-by-step explanation:
As three bananas and two pears cost 95 p and five bananas and three pears cost £ 1.51 or 151 p ,
subtracting former from latter, we get
two bananas and one pear cost 151 p − 95 p = 56 p
and doubling four bananas and two pear cost 56 p × 2 = 112 p
Hence, one banana costs 112 p − 95 p = 17 p .
and two bananas cost 17 p × 2 = 34 p
and hence one pear costs 56 p − 34 p = 22 p
Hence cost of ten bananas and ten pears is
10 × 17 p + 10 × 22 p = 170 p + 220 p = 390 p = £ 3.90
Hope it helps
Please mark me as the brainliest
Thank you
Hey can anyone please help me with these t questions asap?
Answer:
21) 27
22) 2 (the third one has a few people in it)
Step-by-step explanation:
9 dozen= 12 to a dozen
108
=27
Answer:
21. 27 22. 6
Step-by-step explanation:
21 is 27 because 9 times a dozen (12) times equals 108. !08 splited by 4 is 27.
For 22 112-70 is 42. There are 7 seats per row so 42/7= is 6 empty rows.
find the area of the following triangle and write your result in the empty box
Answer:
Step-by-step explanation:
Area = 1/2bh
since b = 10in and height = 6in
then
1/2 x 10 x 6
= 30
Answer:
Area = 1/2bh since b = 10in and height = 6in next you do 1/2 x 10 x 6 = 30
What value of x makes this equation true? 2/3x - 5 = 1/6x + 3
Answer:
D(16)
Step-by-step explanation:
2/3x-5=1/6x+3
Multiply on both sides by 6
4x-30=x+18
Change its sign and move the variable to the left hand side
4x-x-30=18
4x-30=x+18
4x-x=18+30
3x=18+30
Add the numbers
3x=48
Divide both sides
x=16
Rondel's parents borrow $5000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 2 years to repay the loan?
$600.00
$500.00
$480.00
$540.00
Answer:
600
Step-by-step explanation:
6 percent of 5000 is 300. 300x2=600.
Sorry if im wrong
Help Please Brainlist if correct (dont answer if you dont know please)
Answer:
The answer is 6.8
Step-by-step explanation:
Check on your calculator 6.8^2 equals 46
Julie & Maria go to Sam's Club to purchase candy. Julie buys three five-pound bags of candy and two one sound bags of candy for a of 19. Maria buys one five-pound bag of candy and four one-pound bags of Candy for $ 13
A) write a system of two equations that represent this scenario and define your variables
Answer: 5x + 2y = 19
x + 4y = 13
Step-by-step explanation:
let x be the cost of each five-pound bag of candy, and y be the cost of each one-pound bag of candy.
5x + 2y = 19
x + 4y = 13
PLEASE HELP MEEEE
Which of the following equations will produce the graph shown below?
Answer:
A. 6x^{2}+6y^{2}=144
Step-by-step explanation:
An African Elephant can eat 4,620 pounds of
food a week! If the elephant ate the same
amount of food each day that week, how many
pounds of food would he have eaten in a day?
Answer:
Step-by-step explanation:
660
Answer:
660 pounds
Step-by-step explanation:
what's the circumference of a circle with a diameter of 3 inches? Use 3.14 for pi
Answer:
C≈18.85
Step-by-step explanation:
( –2x – 14x2) – ( 10x – 2) + 2(10x3 – 3)
Answer:130
Step-by-step explanation:\
What is the volume of the prism?
Answer:
volume of hexagonal prism = area of base * perpendicular height
Step-by-step explanation:
Quinn walked a total of 8.76 miles in a walk-a-thon. If his average speed was
2.4 miles per hour, how long did it take Quinn to complete the walk?
Answer:
3.65 hours
Step-by-step explanation:
8.76/2.4=3.65
Answer:
3.65
Step-by-step explanation:
T=D÷V
8.76÷2.4= 3.65