Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.
You roll a pair of dice once.
What is the probability that you will roll a 7?
Answer:
none because there is no 7
write 7.16 x 10^-5 in standard notation
Answer:
So this is called scientific notation, you can write as
7.16e-5 not saying euler's number.
To put in standard you move the decimal point in the direction of the sign and that many times. So in this case the direction of the sign is - because -5 so we move the decimal to the left, in this case we do it 5 times. So we move it five times 0.000716 is what you get
Answer: 0.000716Answer:
0.0000716
Step-by-step explanation:
7.16 x 10^-5 = 7.16*0.00001 = 0.0000716
If the mean of the data set is 84 points, find Haruka's final exam score in chemistry.
Final exam Score on a 100 -point scale
Astronomy 72
Biology 85
Physics 92
Chemistry ??
Answer:
Haruka's final exam score in chemistry is 87
Step-by-step explanation:
Given mean of data set = 84
given score
Astronomy 72
Biology 85
Physics 92
Chemistry ?
we have to find score of chemistry
let the score of chemistry be x
we know that mean is sum of data set divided by no of terms in data set
mean = sum of data set /no of terms in data set
number of terms in our problem is 4 (Astronomy,Biology,Physics,Chemistry)
sum of set
72+85+92+x = 249+ x
as mean is 84,
hence
84 = (249+ x)/4
=> 84*4 = 249 + x
=> 336 = 249 + x
=> 336 - 249 = x
=> x = 87
Thus, Haruka's final exam score in chemistry is 87.
Two boys divided $3.36 so that one boy received 12 cents less than three times as much as the other. How was the money divided?
Answer:
first one take 1.5$ and the second one take 1.86$
Step-by-step explanation:
x + y = 3.36 --> the boys are splitting $3.36
x = 3y - .12 --> one boy received $.12 less than 3 times as much as the other
--> substitute the second equation for the x in the first equation
(3y - .12) + y = 3.36 --> combine like terms
4y - .12 = 3.36 --> add .12 to both sides of the equation
4y = 3.48 --> divide both sides by 4
y = .87
the other boy gets $0.87
substitute into x = 3y - 12
x = 3(.87) - .12
x = 2.61 - .12
x = 2.49
the first boy gets $2.49
A trader purchased 1,000 books at the rate of $5.40 per book and spent $200 towards transportation. If he wants to earn a profit of 12.5%, at what price should he sell each book? ( with explanation )
Answer:
$6,300
Step-by-step explanation:
Step 1
Find the Cost Price of the books
A trader purchased 1,000 books at the rate of $5.40 per book
This is calculated as:
If 1 book = $5.40
1000 books = ???
We cross multiply
1000 books × $5.40
= $5,400
He bought 1000 books for $5,400
His total cost price = Transportation + Cost of books
Transportation = $200
Cost price = $5,400 + $200
= $5,600
Step 2
Find the profit he made from the sale of the books
Percentage profit = Profit / Cost price × 100
Percentage profit = 12.5%
Cost price = $5,600
We have :
12.5 = Profit/ $5,600 × 100
12.5 = (100 × Profit)/ $5,600
Cross multiply
12.5 × $5,600 = 100 × Profit
Divide both sides by 100
(12.5 × $5,600) ÷ 100 = Profit
Profit = $700.
Step 3
Find the selling price
The Formula to calculate Selling Price is given as:
Selling price = Cost Price + Profit
Selling price = $5,600 + $700
Selling price = $6,300
Identify a pair of parallel lines in the given figure. answers : n and o m and l m and o n and m
Answer:
lines n and o are parallel lines
Step-by-step explanation:
Find the surface area of the prism.
12 in
9 in
4 in
Given the absolute value function j(x) = |x|, what's the equation that results from translating j(x) right 8 units and up 6 units?
A) j(x) = |x + 8| + 6
B) j(x) = |x – 8| + 6
C) j(x) = |x – 6| + 8
D) j(x) = |x + 8| – 6
A (-7, 7)
B (-5, -7)
C x-axis
Which is a solution to (x – 3)(x + 9) = –27?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
(x - 3)(x + 9) = -27
Expand the brackets:
x^2 + 9x - 3x - 27 = -27
Simplify:
x^2 + 6x - 27 = -27
+ 27 to both sides
x^2 + 6x = 0
Factorise:
x(x + 6)
The solutions are x = 0, x = -6
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer: If you would like to solve (x – 3)(x + 9) = –27, you can do this using the following steps:
(x – 3)(x + 9) = –27
x^2 + 9x - 3x - 27 = -27
x^2 + 6x - 27 + 27 = 0
x^2 + 6x = 0
x * (x + 6) = 0
1. x = 0
2. x = -6
The correct result would be x = 0.
Step-by-step explanation:
What is the surface area?
Given 2x² = -8, x is
Answer:
x = -2 x = 2 (irrational numbers)
Step-by-step explanation:
It takes a graphic designer 1.5 hours to make one page on a website. Using an upgradedeoftware, the designer
could complete each web page in 1.25 hours but it takes 8 hours to learn how to use the upgraded software
How many web pages would the designer have to make in order to save time using the new software?
Answer:
8 websites
Step-by-step explanation:
1.25+1.25+1.25+1.25+1.25+1.25+1.25
Do cats like tuna flavored treats or chicken flavored treats? Cats in an experiment are randomly given either tuna or chicken flavored treats and the results
are recorded. Is blinding demonstrated in this experiment?
Yes, the cats don't know the difference between tuna and chicken flavor.
No, the cats know the difference between tuna and chicken flavor.
Yes, by having someone not related to the experiment review the data.
No, because the experimenters do not know which one the cats are getting.
Answer:I’m pretty sure it’s No, the cats know the difference between tuna and chicken flavor treats.
Step-by-step explanation:
A collection of 36 coins consists of nickels, dimes and quarters. There are three fewer quarters than nickels and six more dimes than quarters. How many of each kind of coin is there?
Answer:
12 nickels, 9 quarters, 15 dimes
Step-by-step explanation:
Let's call the number of nickels n, the number of dimes d, and the number of quarters q. Now, we can set up the following equations:
n+d+q=36
q=n-3
d=q+6
Now, we can do some substitution:
d=(n-3)+6=n+3
Plugging this into the first equation, you get:
n+(n+3)+(n-3)=36
3n=36
n=12
There are twelve nickels, meaning that there are 9 quarters and 15 dimes. Hope this helps!
Please help 35 points!
Answer:
life changes over time?
Step-by-step explanation:
sorry if it is wrong. I havent done this yet
While flipping a weighted coin, Steven gets 10 heads and 6 tails. Based on experimental probability, how many of the next 80 flips should Steven expect to come up heads?
(a) If U = {y:5 20), P= {7,8,12, 19; and Q = {12, 15, 17, 19), find PU Q and P-Q.
Solution,
P={7,8,12,19}
Q={12,15,17,19}
P U Q={7,8,12,19} U { 12,15,17,19}
={ 7,8,12,15,17,19}
P-Q={7,8,12,19}-{12,15,17,19}
={7,8}
Hope it helps
Good luck on your assignment
Rewrite the equation by completing the square. 4 x^2 +20 x +25 = 0
Answer:
x=-5/2
Step-by-step explanation:
4 x^2 +20 x +25 = 0
x^2+5x=-25/4
(b/2)^2=(5/2)^2
x^2+5x+25/4=0
(x+5/2)^2=0
x=-5/2
(Hope this helps)
Please answer correctly !!!! Will mark brainliest !!!!!!
Answer:
b the number of tenants on floor 20 and floor c are equal
Step-by-step explanation:
iven: x + 2y = -6. Solve for y.
Answer:
y=-6-x/2
Step-by-step explanation:
Answer:
y = -x/2 -3
Step-by-step explanation:
So there are LOTS of ways you can choose to do this, but this is how i do it:
I like to move all the x to one side first, so:
2y = -x -6
Then we have to divide everything by 2 to get y on its own:
y = -x/2 -3
*you can divide first too if you want, i find that this keeps it nice and simple though
Hope this helped : )
Please help me with this I’m struggling and don’t know what to do
Answer:
∠ BOJ and ∠BOE
Step-by-step explanation:
A central angle is an angle whose vertex is at the centre of the circle.
The 2 sides of the angle are radii from the opposite ends of an arc.
∠ BOJ and ∠ BOE are therefore central angles
Help please... I really didn’t understand this lesson.
Answer:
7(14)-11=87
2(14)-3=25
5(14)-2=68
Step-by-step explanation:
Ight Homie, lemme help you out.
To start, add (7x-11) + (2x-3) + (5x-2)
That should get you (14x-16)
Then set up the equation
14x-16=180
180 is the sum of the triangle angles. (if i said that right)
Then solve for x
14x-16=180
+16 +16
14x=196 Divide
((14x)/14)=196/14
x should equal 14.
Then replace x with 14
7(14)-11=87
2(14)-3=25
5(14)-2=68
I hope this helps. Stay safe Homie!
Plsss help fast thanksss correct answer pls
Answer:
here is the answer... for it
Which of the following correctly describes confidence level?
A. A confidence level is the probability that a simple event will occur.
B. A confidence level is a value that is added and subtracted from a given value to give an interval where something will likely
happen.
C. A confidence level is the probability that something will fall within a confidence interval.
D. A confidence level is the probability that something will fall outside of a confidence interval.
You have been blessed with an ANSWER from Zaxoosh -
The Answer To Your Question Is:
A
I hope this ANSWER helped you, If it did please consider RATING my answer and THANKING me for the answer + giving me BRAINIEST. And if your one of the best, you could FOLLOW my profile.
Answer:
A
Step-by-step explanation:
Thats the correct definition
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor. 3x + 82 = 22 3x + 22 = 82 3x − 22 = 82 3x − 82 = 22
Answer:
3x + 22 = 82
Step-by-step explanation:
3x + 22 = 82
-22 = -22
3x= 60
3 = 3
X =20
Answer:
B
Step-by-step explanation:
SOMEBODY PLEASE HELP ME IN GEOMETRY
Answer:
1
Step-by-step explanation:
7x-1+2x-1=7
9x=9
x=1
Answer:
x=1
Step-by-step explanation:
RS + ST = RT
7x-1 + 2x-1 = 7
Combine like terms
9x-2 = 7
Add 2 to each side
9x-2+2 = 7+2
9x= 9
Divide by 9
9x/9 = 9/9
x = 1
Find the area of the circle:
Diameter: 18 in
Round to the nearest tenth and include units in your answer
Answer:
1017.8
Step-by-step explanation:
the area of the circle is A = pi r^2
Time Limit!
Find the eleventh term in this sequence.
3, 6, 12, 24,
А. 1,027
оооо
B.3,072
С. 2,051
D.6, 144
There are a total of 84 students in the robotics club and the science club. The science club has 12 more students than the robotics club. How many students are in the science club?
Answer:
48 students in science
Step-by-step explanation:
Let r = students in robots club
s = students in science club
r+s = 84
s = r+12
Substitute the second equation into the first
r+(r+12) = 84
Combine like terms
2r+12 = 84
Subtract 12 from each side
2r = 84-12
2r = 72
Divide by 2
r = 72/2 = 36
We need to find s
s = r+12
s = 36+12
s = 48
There are 48 students in the science club
