Recall that for all x,
cos²(x) + sin²(x) = 1
So we have
sin(x) = ± √(1 - (60/61)²) = ± 11/61
Recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
From here, we get
sin(2x) = 2 (± 11/61) (60/61) = ± 1320/3721
In case you meant to ask about sin²(x), we get
sin²(x) = 1 - cos²(x) = 121/3721
PLZ help asap ill do brainliest!!!
Three cubic feet of seawater weigh 192 pounds.
What is the weight of the seawater in an aquarium that is 4.4 ft long, 2.5 ft wide, and 5.3 ft high?
Answer:
3731.2 pounds
Step-by-step explanation:
Aquarium will hold 4.4 * 2.5 * 5.3 = 58.3 cubic feet of sea water.
For 3 cubic feet of sea water, weight is 192 pounds
For 58.3 cubic feet of sea water,
( 192 * 58.3) / 3 = 11193.6 / 3 = 3731.2 pounds
Answer:
Well, I got 3731.2 :)
hope this helps
PLS I DONT HAVE MUCH TIMEEE!!
the quotient is 307and the remainder is 2
Which shows all of the like terms in the expression 4x-3+7x+1
Answer:
All the like terms include 4x + 7x, and -3 + 1
Step-by-step explanation:
They are like terms because the first two both have the same variable and the second pair both don't have variables.
Simone was pleased with her service at a local restaurant where she had entertained some friends for dinner. She left a tip of $44 for a bill of $195.55. What tip rate did she leave for the service?
Select one:
Please help...............................
Answer:
6%
Step-by-step explanation:
Answer: answer is 8 because when you divide 100 by 6 that give you 16 then you divide it by 2 which is 8
Step-by-step explanation:
What is the image point of (-4, 1) after a translation left 1 unit and down 2 units?
Answer:
(-5,-1)
Step-by-step explanation:
Move the x coordient (-4) over to the left by 1 giving you (-5)
Move the y -axis (1) down by 2 units giving you (-1)
hope this helps :)
Candice spent 3 ⅘ hours, and Shane spend 2 ⅒ hours at track practice over the weekend. How many more hours did Candice spend than Shane at track practice?
Answer:
1 7/10
Step-by-step explanation:
2 1/10 - 3 4/5= 1 7/10 but if you don't understand this then...
Take the wholes and minus both of them which makes 1 (BTW this will be your whole number) Then convert 4/5 into tenths (easier way: draw 4 circles and cut them in half, then count all the halves. That will be your answer, in this case my answer would be 8/10) Now since Shane spent 2 1/10 hours on track we are going to take the fraction beside the whole number (AKA 1/10) and minus it by our 4/5 (AKA 8/10) Now we have 7/10. Our answer would be 1 7/10.
Are 12:21 and 7:16 equivalent
Answer:
no
Step-by-step explanation:
12/21 is not equal to 7/16
I need help on estimation
please show me your working out I don't know what to do
will mark brainiest
Answer:
The estimate is 601.11984282
hope this helps :)
Answer:
310
Step-by-step explanation:
9.87 = 10 its 10 because 87 is over 50 so its closer to 10
0.509 = 1 50 is close to 100 which is 1
31 times 10 = 310
310 divide by 1
equals 310
There are 6 triangles and 2 circles. What is the simplest ratio of circles to triangles?
Answer:
6:2
Step-by-step explanation:
Answer:
6:2
Step-by-step explanation:
This simply means for every 6 triangles there are going to be 2 circles, so if you had 12 triangles there would be 4 circles.
So think of it kinda like:
6 triangles = 2 circles and so on.
given f (x)=-x-3,solve for x when f(x)=-2
Answer:
x=1
Step-by-step explanation:
[tex] - 2 = - x - 3[/tex]
using calculator you will get the x
A game has 9rows of playing cards .there are 8 cards in each row how many playing are there
Answer:
72 cards
Step-by-step explanation:
There are 8 playing cards in each row, with 9 rows in all.
To solve, simply multiply the two numbers together:
8 playing cards per row x 9 rows = 72 playing cards in all.
72 cards is your answer.
~
Answer:
73
Step-by-step explanation:
9 rows of cards with 8 each, so you would do- 9 x 8 = 72
How will decreasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean? Assume that the population standard deviation is unknown and the population distribution is approximately normal
Answer:
Without changing the sample size the change of CI may affect the results
Step-by-step explanation:
According to Central Limit theorem the sampling distribution is given by
Z= x`- u/ σ/√n
Z has in the limit a standard normal distribution and
x`= u ± zσ/√n
From the above
x`- z∝(σ/√n) ≤ u ≤ x`+ z∝(σ/√n)
This formula is used for the confidence interval with normal population and unknown standard deviation.
But if the different values of Z∝ are used the results will be different.
If the CI of 99% or 95% or 90% is used the values of acceptance and rejection regions change and therefore the results will change.
The value of Z∝ for
∝= 0.1 is ± 1.645
∝= 0.05 is ± 1.96
∝= 0.01 is ± 2.58
Suppose we get the calculated Z value equal 2.59 but we decrease the CI from 0.05 to 0.01 the acceptance region would become rejection region and the level of confidence will change.
check screenshot for question
Ayana and Leah were trying to solve the equation:
(x- 5)^2 + 4 = 16
Ayana said, "I'll take the square root of both sides and rewrite the equation as (x-5) +2 = 4. Then I'll solve
for x"
Leah said, "Ill isolate (x - 5)^2 by subtracting 4 from both sides of the equation. Then I'll solve by taking the
square root."
Answer:
only leahs
Step-by-step explanation:
ayana is wrong
The statement given by Lean that "Ill isolate (x - 5)^2 by subtracting 4 from both sides of the equation. Then I'll solve by taking the square root." is correct way of solving an equation.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved as shown below,
(x- 5)² + 4 = 16
Subtract 4 from both the sides of the equation,
(x- 5)² + 4 -4 = 16 - 4
(x- 5)² = 12
Taking square root of both the sides of the equation,
√(x- 5)² = √12
x - 5 = √12
Add 5 on both the sides of the equation,
x - 5 + 5 = √12 + 5
x = √12 + 5
Now, if both Ayana and Leah process of solving is compared with the solution above, it can be concluded that Leah is using the correct method to solve the equation.
Hence, the statement given by Lean that "Ill isolate (x - 5)^2 by subtracting 4 from both sides of the equation. Then I'll solve by taking the square root." is correct way of solving an equation.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
Cam can't figure what to eat. He is going to randomly select a piece of fruit from his pantry. These are 4 apples and 5 bananas in his pantry.
Answer:
the total number of fruits are 4+5=9
probability of picking an apple 4/9
probability of picking a banana 5/9
Answer:
0.44
Step-by-step explanation:
P(select an apple)= 4/9 = 0.44
Khan Academy
n= 9c-80 solve for c
Answer:
[tex] c = \frac{n + 80}{9}[/tex]
Step-by-step explanation:
[tex]n = 9c - 80 \\ \\ n + 80 = 9c \\ \\ \frac{n + 80}{9} = c \\ \\ \huge \red {c = \frac{n + 80}{9}}[/tex]
The probability that a certain brand of watch is defective is 6%. If 2 watches of this brand are randomly selected, then what is the probability that: None will be defective
Answer: The probability that: None will be defective = 0.8836
Step-by-step explanation:
Let x be the number of defectives watch.
As per given: p= 6%= 0.06 (probability of defective)
Sample size : n= 2
Binomial probability distribution formula : [tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]
P(No defective)=P(X=0)
[tex]^{2}C_0(0.06)^0(1-0.06)^{2} =(1)(0.94)^2=0.8836[/tex]
Hence, The probability that: None will be defective = 0.8836
someone know the answer ? please
Answer:
B
Step-by-step explanation:
-9x + 10x = 1
-y + y = 0
10 - 9 = 1
The diver's actions can be represented by the subtraction equation 3-4 = -1
1. Write a related addition sentence for the subtraction sentence.
Answer:
jdtttttttttttttttttttjjfjyk
Step-by-step explanation:
thanks.
Solve the inequality for v. 7v-35is greater than -4(2-4v)
[tex]7v-35>-4(2-4v) \\ \\ 7v-35>16v-8 \\ \\ -9v-35>-8 \\ \\ -9v>27 \\ \\ \boxed{v<-3}[/tex]
7÷7257 step by step
Answer:
0.00096458591
Step-by-step explanation:
hope it helps :)
Answer: 1036
Remainder: 5
Step-by-step explanation:
George buys oranges and apples at a ratio of 3:4 for his party. If he has 15 oranges, how many apples does he have?
Answer: 20 apples
Step-by-step explanation:
If 15 oranges is represented as 3, this means it was divided by 3.
15 ÷ 3 = 5
Now, get the number 5 and multiply it by 4.
5 × 4 = 20
The answer is 20 apples. Hope this helps!
A bakery sells different packages of muffins. The number of muffins, x, and the price in dollars, y, of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.
{(1,2),(2,3),(4,5),(6,7),(12,13)}
The bakery is considering adding a new package of muffins. which ordered pairs would make the relation NOT a function? Choose all that are correct.
a. (10,13)
b. (6,8)
c. (8,12)
d. (4,3)
e. (24,18)
Answer:
A,D,B
Step-by-step explanation:
Those have the same as the ordered pairs in the question. Having 2 ordered pairs with the same variables would make them not a function.
A relation may or may not be a function.
b. (6,8) and d. (4,3) would make the relation not a function
The ordered pair is given as:
[tex]\mathbf{(x,y) = \{(1,2),(2,3),(4,5),(6,7),(12,13)\}}[/tex]
For a relation to be a function, all the x-values must be unique (i.e. no repetition)
From the list of given options, the x values of options (b) and (d) already exist in the ordered pair i.e. (6,7) and (4,5)
This means that: (b) and (d) would make the relation not a function
Read more about functions and relations at:
https://brainly.com/question/6241820
What is 11.77 divided by 1.1
Answer: 10.7
Step-by-step explanation:
Just use a calc
what is the slope of (-2,-1) and (2,-3)
Answer:
The slope is -1/2
Step-by-step explanation:
I need help finding x
Answer:
x ≈ 24.4
Step-by-step explanation:
Since the 2 legs of the triangle are congruent, both 26, then the triangle is isosceles.
The line segment x is a perpendicular bisector and divides the isosceles triangle into 2 congruent right triangles, with base 18 ÷ 2 = 9
Using Pythagoras' identity in either of the 2 right triangles, then
x² + 9² = 26² , that is
x² + 81 = 676 ( subtract 81 from both sides )
x² = 595 ( take the square root of both sides )
x = [tex]\sqrt{595}[/tex] ≈ 24.4 ( to the nearest tenth )
What is three decimal places to 51.51488
Answer:
51514.88
Step-by-step explanation:
thats the answer
Answer:
51.515
Step-by-step explanation:
When you round a number to three decimal places, not only you need to cut your decimals to the third one, but need to examine the following (fourth decimal in this case) to decide if you need to round using the digit in the third decimal that appears, or use the following digit.
The rule is, if the following decimal is any of the following digits: 5, 6, 7, 8, or 9, you use in the rounding place one digit ABOVE the one that appears .
In our case, 51.51488 you look at the fourth decimal, and since it is an "8", you change the third decimal "4" into a "5". Leaving the following rounding:
51.515,
please help i will give brainliest
Answer:
the opposite of 8
Step-by-step explanation:
which quadrant would 6,-4 be in ?
Answer:
IV
Step-by-step explanation:
Answer:
The Quadrent it would be in would be the bottom right.
Step-by-step explanation:
Go over 6 units on the x axis, then go down 4 (because it is a negative).