Answer:
sqrt(2)/2
Step-by-step explanation:
Given tan(x)=2-cot(x), find sin(x).
Rewrite in terms of sine and cosine:
sin(x)/cos(x)=2-cos(x)/sin(x)
Multiply both sides by cos(x)sin(x):
sin^2(x)=2sin(x)cos(x)-cos^2(x)
Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:
sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))
Distribute:
sin^2(x)=2sin(x)cos(x)-1+sin^2(x)
Subtracting sin^2(x) on both sides:
0=2sin(x)cos(x)-1
Add 1 on both sides:
1=2sin(x)cos(x)
Use identity sin(2x)=2sin(x)cos(x) to rewrite right:
1=sin(2x)
Since sin(pi/2)=1, then 2x=pi/2.
Dividing both sides by 2 gives x=pi/4.
So sin(pi/4)=sqrt(2)/2
HELP ILL GIVE BRAINLIEST (if its to small click on it and zoom in)
Answer:
The 1st solution
Step-by-step explanation:
all of the values are satisfied.
Best answer gets brainliest and 5 stars
Answer:
A
Step-by-step explanation:
pgt states if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
Answer:
Does the answer help you?
Please help quick pleaseeeeeeeeeeee
Answer:
think this one
Step-by-step explanation:
the answers there
i think
Anyone ?? Know the answers to these both? Due tmr morning
Answer:
Just use m a t h w a y for the answer
Step-by-step explanation:
Thank me later,or dont thank me at all
3x -4 = x -8 equation
[tex]\\ \sf\longmapsto 3x-4=x-8[/tex]
[tex]\\ \sf\longmapsto 3x-x=8+4[/tex]
[tex]\\ \sf\longmapsto 2x=12[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{12}{2}[/tex]
[tex]\\ \sf\longmapsto x=6[/tex]
what is 40-32divited by8=5x-2
(f^3-5f+25)-(4f^2-12f+9)
Answer:
3−42+7+16
Step-by-step explanation:
if its simplify
Use the equation below to find T, if w=52, m=5, and a= 3 T= w - ma
Answer:
T=37
Step-by-step explanation:
T=w-ma
=52-5×3
=52-15
=37
Find the first five terms. Please solve
Answer:
a1=3, a2=6, a3=12, a4=24, a5=48
Step-by-step explanation:
a7=a*r^6=192
a10=a*r^9=1536, r^3=8, r=2 and a=3
a1=3, a2=6, a3=12, a4=24, a5=48
X+a=3/4
How do I solve for x first then a
Answer:
[tex]x + a = \frac{3}{4} \\ x = \frac{3}{4} - a[/tex]
for a:
[tex]a = \frac{3}{4} - x[/tex]
[tex]\\ \sf \longmapsto x+a=\dfrac{3}{4}[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{3}{4}-a[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{3-4a}{4}[/tex]
And
[tex]\\ \sf \longmapsto a=\dfrac{3}{4}-x[/tex]
[tex]\\ \sf \longmapsto a=\dfrac{3-4x}{4}[/tex]
what's 14 1/4 in lb into ounces
Answer:
228
Step-by-step explanation:
We are asked to convert 14 1/4 pounds into ounces, to do so, we need to multiply the amount of pounds by 16.
14 1/4 or 14.25
14.25 * 16
==> 228
Meaning there are 228 ounces in 14 1/4 pounds
a step by step answer please
Answer:
7.92 m.
Step-by-step explanation:
Mean height = ∑(f . x) / ∑f where x is the midpoint and f the frequencies
The midpoints for the heights are:
2 for frequency 8 ( 0 + 4)/ 2 = 2
6 for .. 21
10 for .. 12
14 for .. 7
18 for .. 2
So the mean is:
[(2*8) + (6*21) + (10*12) + (14*7) + (18*2) ] / (8 + 21+12+7+2)
= 396 / 50
= 7.92 m.
plot the inequality on the number line
Answer:
Hope this helps!
If A={blue , Orange} and B={colours in a rainbow} then B is a
a : Subset of set A
b : Super set B
Answer:
super set B
Step-by-step explanation:
because rainbow have seven colors ,
where as u can say,
A is subset of B
What is the image point of ( – 7,-2) after a translation left 5 units and down 4
uits?
Submit Answer
PLS HELP ASAP
Answer:
(-12,-6)
Step-by-step explanation:
A translation 5 units to the left (x-5)
And 4 units down ( y-4)
(-7-5, -2-4)
(-12,-6)
What is −1280 as a decimal?
Answer:
-1280.0
Step-by-step explanation:
It is a whole number
if you want to show it as a decimal,
put ' .0 ' at the end of the whole number. That is,
=> -1280.0
The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?
Answer:
Step-by-step explanation:
The choices aren't given. Be careful to give choices if the question says there are choices. It makes answering kind of iffy.
C = 34 + 1.5*h where h is the number of hours Leah was in the park.
Write an expression in simplified form for the area of each rectangle. Width: 5+2y Length:5
Answer:
25+10y
Step-by-step explanation:
The area of a rectangle is
A = l* w where l is the length and w is the width
A = 5(5+2y)
Distribute
A = 25+10y
Area of rectangle = Length * Width
Length is 5
Width is 5 + 2y
⇛Area = 5(5+2y)
⇛Area = 25 + 10y
is the value of x=3 find the value of 4x³-2x²+3x
Answer:
99
Step-by-step explanation:
4x³-2x²+3x
4×3³-2×3²+3×3
4(27)-2(9)+9
108-18+9
99
99
=(4)(27)−2(32)+(3)(3)
=108−2(32)+(3)(3)
=108−(2)(9)+(3)(3)
=108−18+(3)(3)
=90+(3)(3)
=90+9
=99
Can someone help me with this question?
Answer:
y = ± 15
Step-by-step explanation:
Given
y² = 225 ( take the square root of both sides )
[tex]\sqrt{y^2}[/tex] = ± [tex]\sqrt{225}[/tex]
y = ± 15
That is y = 15, y = - 15
Since 15 × 15 = 225 and - 15 × - 15 = 225
y² = 225
y = √225
y = 15
y²= 225
y = √225
y = -15
y = ±15
Therefore values of y are 15 and -15
Must click thanks and mark brainliest
Please help URGENT!!... There are 200 students in the 7th grade class at Manchester Middle School. Of these students, 22% play football, and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball? A. 30% B. 38% C. 26% D. 34%
Answer:34
Step-by-step explanation:just add the percents
Answer:
C. 26%
Step-by-step explanation:
We can sort students into three categories: Football Only, Baseball Only, and students who play Both.
Firstly, let's turn the percentages into numbers to make the calculations easier:
To find 22% convert into decimal and multiply:
0.22 x 200 = 44 TOTAL Football players
Similarly, 0.12 x 200 = 24 TOTAL Baseball players.
The question then tells us that 8 students play both.
This means there are 44-8 = 36 students who play ONLY football, and
24-8= 16 students who ONLY play baseball:
Football Only: Both: Baseball Only:
36 8 16
44 Total Football and 24 total baseball
The question asks the probability of a student playing EITHER football OR baseball which therefore does not include the students who play both.
Now we can add up all these numbers of students which gives us:
36 + 16 = 52
Now to find the percentage we just divide 52 by 200:
52/200 = 0.26 which is equivalent to 26%.
Therefore the answer is C. 26%
Hope this helped!
What is the vertex for this function? y = 3x^2 - 6x + 12
A. (1,9)
B.(-1,21)
C. (1,21)
D. (-1,9)
D (-1,9) i did it in calcukator
if the discount rate in a article is 15% and discount amount is 180.whats the marked price of the article?
a person has 2 balls, a second one had (2)^2 = 4 balls, a third had (4)^2 = 16, if it continues the same way, how many balls will the tenth person have?
Wll mark brainliest whoever answers it satisfactorily!
Look at the graph shown.
Which equation best represents the line? (4 points)
y = 1 over 3.x − 1
y = 3x − 1
y = −x + 1 over 3.
y = 3x + 1
Answer:
y=3x - 1
Step-by-step explanation:
we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.
we know that b must be -1 because the line hits the y-axis when y is -1
this now leaves us with either the first or second choice
we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.
so then we know the answer is y=3x-1
hope this helps
Suppose the probability of beating your brother at checkers is 0.54, the probability of beating your sister at checkers is 0.48 and the probability of beating your sister and brother at checkers is 0.33. What is the probability you beat your sister given that you beat your brother at checkers
Answer:
1.55
Step-by-step explanation:
0.21 is the probability you beat your sister given that you beat your brother at checkers
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
The probability of beating your brother at checkers is 0.54
The probability of beating your sister at checkers is 0.48
The probability of beating your sister and brother at checkers is 0.33
We need to find the probability you beat your sister
probability you beat your sister =0.33-0.54
=0.21
Hence, 0.21 is the probability you beat your sister given that you beat your brother at checkers
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
When trying to determine where to shade on the inequality below, why is it unhelpful to test the point (4,0)?
vs-ſ=+2
Answer:
It will not be very helpful to use this point because it lies on the x-axis. Which doesn't show what area to shade.
Step-by-step explanation:
31. Which inequality is represented by
this graph?
Answer:
A. x/5 - 6 > -4
Step-by-step explanation:
The graph shows that x > 10. We need to solve each of the inequalities. After we do, we see that A is the answer.
A. x/5 - 6 > -4
x/5 > 2
x > 10
Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,560.00
Answer:
$17,000 at 14% and $9,000 at 2%
Step-by-step explanation:
Let x = amount invested at 14%.
Let y = amount invested at 2%.
x + y = 26000
0.14x + 0.02y = 2560
-0.02x - 0.02y = -520
(+) 0.14x + 0.02y = 2560
-------------------------------------
0.12x = 2040
x = 17,000
x + y = 26000
17000 + y = 26000
y = 9000
Answer: $17,000 at 14% and $9,000 at 2%
25 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!! Select all the correct answers.
Which statements regarding the implications of the central limit theorem are true?
As the number of sample means decreases, the means get closer to a standard normal distribution.
For an infinite number of samples, 99.7% of the sample means would fall within the interval .
The central limit theorem holds true only for populations that are normally distributed.
For an infinite number of samples, 95% of the sample means would fall within the interval .
The mean of the population is the same as the mean of any sample taken from the population.
If the population is normally distributed, then the mean of a sample from that population will be normally distributed.
Answer:
Step-by-step explanitions:
this is true The central limit theorem holds true only for populations that are normally distributed.
this is also true For an infinite number of samples, 95% of the sample means would fall within the interval .
As the number of sample means decreases, the means get closer to a standard normal distribution.thsis is false
