Answers
Answer:
see explanation
Step-by-step explanation:
Using the identities
tanx = [tex]\frac{sinx}{cosx}[/tex] , cotx = [tex]\frac{cosx}{sinx}[/tex]
Consider the left side
[tex]\frac{tanx}{tanx+cotx}[/tex]
= [tex]\frac{\frac{sinx}{cosx} }{\frac{sinx}{cosx}+\frac{cosx}{sinx} }[/tex]
= [tex]\frac{\frac{sinx}{cosx} }{\frac{sin^2x+cos^2x}{cosxsinx} }[/tex]
= [tex]\frac{\frac{sinx}{cosx} }{\frac{1}{cosxsinx} }[/tex]
= [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{cosxsinx}{1}[/tex] ← cancel cosx on numerator/ denominator
= sin²x
= right side
Related Questions
The standered charge per customer at TTF is $25. Write an equation that relates the daily income I to the number n of customers
Answers
Answer:
25n=I
Step-by-step explanation:
Because 25 dollars per customer, (so multiply) = the daily income.
The speed of a car in mph varies directly with the speed of a car in kph. The speed of 75
mph is equivalent to 120 kph. How many kph is 45 mph?
please help asap !
Answers
Answer:
72.42 kilometers per hour
The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158. During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804. How much are they charging for the different sized gift baskets?
Answers
Answer:
The cost of
Regular baskets = x = $20
Deluxe baskets = y = $42
Step-by-step explanation:
The drama club is selling gift baskets to raise money for new costumes.
Let us represent:
The cost of
Regular baskets = x
Deluxe baskets = y
During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.
Hence:
18x + 19y = 1158....... Equation 1
During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.
15x + 12y = 804...... Equation 2
Combining them two Equations
18x + 19y = 1158....... Equation 1
15x + 12y = 804...... Equation 2
Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x
270x + 285y = 17370..... Equation 3
270x + 216y = 14472...... Equation 4
We Subtract Equation 4 from Equation 3.
69y = 2898
y = 2898/69
y = $42
Solving for x
18x + 19y = 1158....... Equation 1
18x + 19 × 42 = 1158
18x + 798 = 1158
18x = 1158 - 798
18x = 360
x = 360/18
x = $20
Therefore,
The cost of
Regular baskets = x = $20
Deluxe baskets = y = $42
Hi I am really bad at math and need to know about fractions I HATE MATH I’m super nervous so ya if you know anything about fractions please help me!!! :)
Answers
Answer:
how to add and subtract fractions
Step-by-step explanation:
ok so we can start with adding so when you add fractions you can first start out by making the denominators the same number to make it easier so here is an example
7/9 + 3/10 you could make the denomonatiers the same or just do 9x10 and 7x10 + 3x9 and 10x9 and then if you multiply the numbers and added up all the sums you would get to fractions 70/90 + 27/90 so you add them up and science the denominators are the same you just leave them the same number so it would just be 70+27 so you would get 97/90 and because the denominator is 90 and we have 97 for the numerator 97 fits into 90 1 time with 7 left over so the whole number would be 1 and then 7/90
Step-by-step explanation:
Multiplying Fractions:
example: 2/3·2/3
multiply numerator=top number2·2=4 multiply denominator=bottom number3·3=9combine the terms..4 and 9=4/92/3·2/3=4/9Dividing Fractions:
example: 2/3*2/3
reverse second fraction thats getting divided..2/3=3/2convert into multiply symbol.2/3·3/2multiply the like terms..2/3·3/2=6/6..2/3*2/3=1 whole..Combine Fractions:
example:2/3+2/3
keep denominator and combine numerator only if denominator is the same..2+2=4combine the numerstor and denominator..4 and 3=4/32/3+2/3=1 1/3Subtract Fractions:
example:2/3-2/3
keep denominator if similar..subtract numerator..2-2=0combine numerator and denominator..0 and 3=0/32/3-2/3=0is anybody else just really tired rn???
Answers
Answer:
yep i am very tireddddfdf
Answer:
YEAAA I'm like super tired for no reason, even though I really didn't do anything today :/
A parking lot has 264 automobiles, 66 of which are silver. Which is the percent of cars in the lot that are silver?
Answers
Your grandmother has given you a gift of $1500 for your birthday. You are thinking about your future and
considering two different options on how to manage your money. Option A: You take all of your $1500 and
deposit it into a savings account that has a 5% interest rate per year. Option B: You spend $500 on a new
Apple Watch and deposit the remaining $1000 in a savings account that has a 5.5% interest rate per year.
.
Which account would have the most in 10 years? 20 years? Mathematically, explain your reasoning.
Which option would you choose and why?
.
Answers
Answer:
B
Step-by-step explanation:
if you put the rest of your money in a savings account you can use that money for your college fund or maybe buy a car ect.
Answer:
OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for "thinking about your future"
Step-by-step explanation:
In the absence of any more information, I am going to assume that Simple Interest applies. (see attached)
hence the applicable formula is:
A = P(1+rt), where
A = final amount after t years
P = Principal (beginning) amount ($1500 for option A and $1000 for option B)
r = annual interest rate (5% = 0.05 for option A and 5.5% = 0.055 for option B)
t = time (we are asked to evaluate t = 10 years and t = 20 years)
For option A :
P = $1500 and r = 5% = 0.05
A = P(1+rt)
A = 1500 [ 1 + (0.05)t]
at 10 years: A = 1500 [ 1 + (0.05)(10)] = $2,250
at 20 years: A = 1500 [ 1 + (0.05)(20)] =$3,000
For option B :
P = $1000 and r = 5.5% = 0.055
A = P(1+rt)
A = 1000 [ 1 + (0.055)t]
at 10 years: A = 1000 [ 1 + (0.055)(10)] = $1,550
at 20 years: A = 1000 [ 1 + (0.055)(20)] = $2,100
Comparing all the 4 results above, we can see that OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for long term returns.
Find the quotient-3.6 ÷ .06
Answers
answer: 60
Source: calculator
pls help.........with the help of pic
Answers
Answer:
Her journey by car.
Step-by-step explanation:
3/5 is more than 3/10. I hope this helps :)
Answer: 3/10 of her journey by autorikshaw.
Step-by-step explanation:
Nathan usually drinks 33 ounces of water per day. He read that he should drink 56 ounces of water per
day. If he starts drinking 56 ounces, what is the percent increase? Round to the nearest percent.
The percent increase is /
%.
Answers
Answer:
Step-by-step explanation:
i don't know just want points
joe finished his english assigments in 1/3 hours. Then he completed his chemistry assigment in 1/8 hours. What is the total amount of time joe spent doing these two assigments as a fraction in simplist form./ Aleks
Answers
A line has a slope of 10 and passes through the point (0,6) what is its equation slope-intercept form ?
Answers
Answer:
y=10x+6
Step-by-step explanation:
Please help it's due today. Also please don't help if you don't know.
Answers
w = 24
work=
1000⁸=10w
write the expression in exponential form with the base of 10
10²⁴=10w
since the bases are the same, set the exponents equal
w=24
Help please it’s a grade
Answers
If you are finding a different side like triangle 2 use a^2 = c^2 - b^2 where a is the side you are finding, c being the hypotenuse and b being the other side.
Histograms in mathh
I need help with it because I am clueless!
Answers
1000/500 = 2 so each little square represents 2 people
60 x 2 as there’s 60 squares from 6-10 so answer is 120
Sam had 225 grams of raisins. After buying another two bags of raisins he then had
175 grams of raisins
He writes this equation where r represents number of bags of raisins to describe how
225r+2=1475
Is he correct? Explain your answer.
How many grams of raisins were in one bag?
Answers
Answer: No, he is not correct, the correct equation is:
225 + 2*r = 1475
Solving that, we can find that each bag of raisins has 625 grams of raisins.
Step-by-step explanation:
I suppose that the problem is as follows:
"Sam had 225 grams of raisins. After buying another two bags of raisins he then had 1475 grams of raisins"
Then, if each bag of raisings has r grams of raisings, two bags will have two times that, or:
2*r grams of raisings.
Then if we take what he had at the beginning, and we add these 2*r grams, we should get the 1475 grams that he has at the end:
225 + 2*r = 1475
This is what he should get.
and we can solve it for r, to get:
2*r = 1475 - 225 = 1250
r = 1250/2 = 625
r = 625
This means that each bag of raisins has 625 grams of raisins.
But instead, he got:
225*r + 2 = 1475
In this case, he multiplied his previous amount of raisings by the amount that each bag has, so his equation is wrong.
Lisa types 56 words per minute. How many words can she type per second?
Answers
Answer:
1.07 for hundredths or 1.071 for thousandths
Step-by-step explanation:
60 ÷ 56
Check whether the sequence is arithmetic. If so, find the common difference d. 2, 7, 12, 17, 22 ... Select the correct choice below and, if necessary, fill in the answer box within your choice.
Answers
Answer:
The answer is A.
Step-by-step explanation:
The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.
Can anyone help me with these 3 please !
I’ll mark you as a brainliest.
Answers
Answer:
72
270
600,000
I wasn't sure what this question means, but I did the math??
like are supposed to switch around the numbers..? haha...
Answer:
1. 72
2. 270
3. 600,000
hope this helps!!
Step-by-step explanation:
Someone please help with this asap!! I will mark brainliest if it's right! Serious answers only !!!
Answers
Answer:
1) given
2) given
3) definition of vertical angles
4) AAS
Step-by-step explanation:
1) given
2) given
3) definition of vertical angles
4) AAS
is the answer to the question
Help I need this now
Answers
Answer:
There is no question showing up so I dont know how to help u
Step-by-step explanation:
The markings on the number line are evenly spaced. Label the other markings on the number line.
Answers
Answer:
A= -75
B= -60
C= -45
D= -15
E= 15
F=30
Step-by-step explanation:
Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.
Hope this helped!
Find the value of x.
140°
40°
2x
O A. 50
O B. 70
O C. 20
O D. 90
Please help
Answers
Answer:
140/90
Step-by-step explanation:
:>
Answer: A. 50
Step-by-step explanation:
1 pts
Molly and her friends had a large sausage pizza for dinner. Molly cut it into 12 pieces. She ate one
piece and gave Karen and Carol 2 pieces each. What is the fraction of the pizza that is left?
2/19
Answers
Answer:
7/12
Step-by-step explanation:
The slope of this line is 8 and it goes through the point (-4, 4)
What is the Equation of the Line?
pls i really need help
Answers
Answer:
y = 8x + 36
Step-by-step explanation:
(y-4) / (x - -4) = 8
y - 4 = 8x + 32
y = 8x + 36
Pls help tell me how to do it
Answers
Explanation: b * h / 2
Which lines in the diagram must be parallel?
(not drawn to scale)
514
1337
47°
q
S
Answers
Answer
47
Step-by-step explanation:
PLEASE HELP ANSWER THIS ASAP!!! :)
Answers
Answer:
C, 42 degrees
Step-by-step explanation:
Considering angle BAD is 60 degrees, that makes angle BCD also 60 degrees. Since parallelograms have 360 degrees in total, we're still missing 240 degrees. Since angles BAD and BCD are congruent (equal), that means that angles ABC and ADC also have to be congruent. To find their angles, we do 240 divided by 2, which equals 120. Now that we know all of the angles, lets focus on angle ADC. Since angle 1 has been given to us, all we need to do is subtract 78 from 120 which turns out to be 42 degrees, which is the answer.
Find the missing y-value that makes the table represent a linear function.
x. 3 6 9
y -1.5 ? 0.3
Answers
Step-by-step explanation:
iydgfiukduylyiyiucouogjuocjgcout ont fp iyfpiyd off
1. How would you simplify and solve this equation? What steps would you use? *
y - 3(2y - 7) = 76
Answers
Answer:
9 ..... .................