Answer:
Given:
(sin5x−sinx)(cos4x−cos6x)
(cosx−cos3x)(sin8x+sin2x)
Use the formula:
sina+sinb=2sin(
2
a+b
)cos(
2
a−b
)
sina−sinb=2cos(
2
a+b
)sin(
2
a−b
)
cosa−cosb=−2sin(
2
a+b
)sin(
2
a−b
)
(sin5x−sinx)(cos4x−cos6x)
(cosx−cos3x)(sin8x+sin2x)
=
(2cos
2
6x
sin
2
4x
)(−2sin
2
10x
sin
2
−2x
)
(−2sin
2
4x
sin
2
−2x
)(2sin
2
10x
cos
2
6x
)
=
(2cos3xsin2x)(2sin5xsinx)
(2sin2xsinx)(2sin5xcos3x)
=1
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME THE STEP BY STEP EXPLANATION!!
The data value that occurs most often in a data set is the ____________.
A. mode
B. median
C. mean
D. range
mode is the data that occurs most often in a data
A rectangle has a length 3 times as long as its breadth, and it has a perimeter of 152cm. What is it's length?
Answer:
Maybe length iss= 27 cm.
A charity is holding a benefit at an Italian restaurant. The owner of the restaurant offers to donate $200 in addition to $4 for each person that
attends. Write an equation where d is the total donation and p in the number of people that attend.
Answer:
200 divided 4
Step-by-step explanation:
If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P, then sin() = Incorrect: Your answer is incorrect. cos() = tan() = .
cos(a) = x/r
sin(a) = y/r
tan(a) = y/x
In the image at the end, you can see a sketch of the situation, we can model this with a triangle rectangle:
The hypotenuse length is equal to r, the adjacent cathetus to the angle is the x-value, and the opposite cathetus to the angle is the y-value.
Now we can remember the trigonometric relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse)
tan(a) = (opposite cathetus)/(adjacent cathetus)
Using what we wrote above, we can rewrite these as:
cos(a) = (adjacent cathetus)/(hypotenuse) = x/r
sin(a) = (opposite cathetus)/(hypotenuse) = y/r
tan(a) = (opposite cathetus)/(adjacent cathetus) = y/x
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19. PLEASE HELP ME
Order the group of quadratic functions from widest to narrowest graph.
y=, y=, y=
A. y= -7x2, y= -1/3x2, y= -1/5x2
B. y= -1/5x2, y= -7x2, y= -1/3x2
C. y= -1/3x2, y= -1/5x2, y= -7x2
D. y= -1/5x2, y= -1/3x2, y= -7x2
Answer:
D. y= -1/5x2, y= -1/3x2, y= -7x2
Step-by-step explanation:
 Which correlation best describes the data below.
Answer:
Weak positive correlation
4. (01.03 MC)
Karissa purchased a set of LED lights online that normally sells for $65.00 but was marked down to $57.20. What is the discount rate Karissa received? (2 points)
A 12% B 22 C 67%
Answer:
12% discount
Step-by-step explanation:
Take the change in price
65 - 57.20 =7.80
And divide by the original price
7.80/65=.12
Change to percent form
12%
if 3x=y-5 and x=-4 then y =
Answer:
-7 = y
Step-by-step explanation:
3x=y-5
Let x = -4
3(-4) = y-5
-12 = y-5
Add 5 to each side
-12 +5 = y-5+5
-7 = y
PLEASE SOMEONE ANSWER THIS R3JGWERHTRYT
Order the numbers from least to greatest.
A) 3.41%, 0.31, 0.314, 0.3333
B) 0.3333, 0.31, 0.314, 3.41%
C) 3.41%, 0.314, 0.3333, 3.51%
D) 0.31, 0.314, 0.333, 3.41%
answer:
D) 0.31 , 0.314 , 0.333 , 3.41%
because, 3.14% converted to decimal is 3.41
HELP FAST 100 POINTS - please show how you got it thank you
Which theorem/postulate can be used to prove ∆PQR ≅ ∆STU?
What is the perimeter of ∆PQR?
side angle side (SAS) is the postulate because we can clearly see that two of the sides of the triangles are congruent (9 & 14), as well as the Q and T angle.
the perimeter is 43
6y+5=8y
y= 5/2
9+14+6(5/2)+5= 43
Answer:
Solution given:
In ∆ PQR and ∆ STQ
PQ=ST=9ft given
<Q=<T given
QR=TU = 14ft [given]
S.A.S axiom therom is used to prove
∆PQR ≅ ∆STU
Since ∆PQR ≅ ∆STU
their corresponding side is equal.so
6y+5=8y
5=8y-6y
2y=5
y=5/2
now
perimeter of ∆ PQR=sum of all sides
=9ft +14ft+ 6*5/2+5=43ft
Seventy-two books were to be divided up among 18 children. Which of the following
expressions is equivalent to this fraction?
a. 8/3 divided by 6/9
b. 8/3 times 2/3
c. 2/9 divided by 8/9
d. 2 times 8/2
Answer:
a
Step-by-step explanation:
cause if 72 book were divided by 18 kids they would hav all gotten 4 books each
so a is the answer cause it gives youthe answer 4
Answer: a. 8/3 divided by 6/9
Step-by-step explanation: I got this question on my test
[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]
Answer:
-15Step-by-step explanation:
[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]
[tex] = \sqrt{20} \times \sqrt{5} - 2 \sqrt{45} \times \sqrt{5} + \sqrt{5} \times \sqrt{5} [/tex]
[tex] = \sqrt{100} - 2 \sqrt{225} + \sqrt{25} [/tex]
= 10 - 2 × 15 + 5
= 10 - 30 + 5
= 15 - 30
= -15 (Ans)
pleaseee help help
The sign at the tee off area for a hole on a golf course indicates the hole is 340
yards from the tee. The golfers drive went to the right. The caddie paced the
drive to be 230 yards. The yardage markers indicate the ball is still 175 yards
from the hole. Determine the angle the golfer went off line from the tee when they
drove the ball.
The angle the golfer went off line from the tee when they drove the ball
is [tex]\phi=28.2 \textdegree[/tex] because the cosine rule has been applied to calculate the angle
From the question we are told that:
Distance of hole from tee [tex]d_h=340yards[/tex]
Distance to the right [tex]d_r=230yards[/tex]
Ball distance from hole [tex]d_b=175 yard[/tex]
Given that the three points form a triangle x,y,z respectively
Where
[tex]d_h=xz[/tex]
[tex]d_r=xy[/tex]
[tex]d_b=yz[/tex]
Using Cosine Rule
[tex]yz^2=xy^2+xz^2-2(xy)(xz)cos\phi[/tex]
Therefore
[tex]cos\phi=\frac{yz^2}{xy^2+xz^2-2(xy)(xz)}[/tex]
[tex]cos\phi=\frac{(175)^2}{230^2+340^2-2(230)(340)}[/tex]
[tex]cos\phi=0.88[/tex]
[tex]\phi=28.2 \textdegree[/tex]
In conclusion the angle the golfer went off line from the tee when they
drove the ball is mathematically deducted and give as
[tex]\phi=28.2 \textdegree[/tex]
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Which exponential function is represented by the graph?
Answer:
Answer is option (B)......
what is 2,034,627 rounded to the nearest ten thousand
Answer:
rounded to the nearest ten thousand
2,034,627
2,030,000
What is the volume of the solid?
Answer:
C
Step-by-step explanation:
The formula for this solid is
V = B * h
B = L * W
L = 5
W = 3
B = 3*5
B = 15
V = B * h
V = 15 * 7
V = 105
Answer:
V = 105 in ^3
Step-by-step explanation:
The volume of a rectangular prism is
V = l*w*h where l is length, w is width, and h is height
V = 7*5*3
V = 105 in ^3
For problems 1 - 4, identify whether each figure is a point, line, or line segment. Then write its name.
Please help! Was due yesterday!
Answer:
1. Line segment 2. Point 3. Line 4. Line Segment
Re write the statement 19 +7 / 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2
PLEASE HELP!!
Prove the trigonometric identity.
tanx+cotxcscxcosx=sec2x
Drag an expression to each box to correctly complete the proof.
You're going to have to break all of these identities into sin and cos, and then just resolve them like normal.
The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved .
What is trigonometric ratio?
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
formulas for trigonometric ratios is:
sin θ = 1/cosec θ
cos θ = 1/sec θ
tan θ = 1/cot θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
According to the question
[tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex]
[tex]\frac{\frac{sin x}{cos x} + \frac{cos x}{sin x}}{\frac{1}{sin x}*cosx } = sec^{2} x[/tex]
[tex]\frac{\frac{sin^{2}x + cos^{2}x }{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]
[tex]\frac{\frac{1}{sinx cosx} }{\frac{cosx}{sinx} } = sec^{2} x[/tex]
[tex]\frac{\frac{1}{cosx} }{\frac{cosx}{1} } = sec^{2} x[/tex]
[tex]\frac{1}{cos^{2} x} =sec^{2} x[/tex]
[tex]sec^{2} x =sec^{2} x[/tex]
L.H.S = R.H.S
Hence, The expression [tex]\frac{tan x + cot x}{cosec x* cos x} = sec ^{2} x[/tex] is proved .
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What are the equivalent expressions
Answer:
a)=4x
b)= use common factor
=72y−32
=8(9y-4)
Can some one help me answer this
7. √9
√9 is a rational number because √9 = 3 = 3/1.
8. No, there is no integer between -6 and -7.
9. π
π is an irrational number
2. Find a true inequality that involves the real number 5/4
Answer:
c
Step-by-step explanation:
5/4>6/5
multiply by 20
25>24
which is true.
3(x-5)=5x-(3-x) solve for x
Answer:
x = -4
Step-by-step explanation:
[tex]3(x-5)=5x-(3-x)\\\\3x-15=5x-3+x\\\\3x-15=6x-3\\\\-15=3x-3\\\\-12=3x\\\\-4=x[/tex]
Step-by-step explanation:
[tex]3(x - 5) = 5x - (3 - x) \\ 3x - 15 = 5x - 3 + x \\ 3x - 5x - x = - 3 + 15 \\ - 3x = 12 \\ x = \frac{12}{ - 3} \\ x = - 4[/tex]
I hope it helped U
stay safe stay happy
You and your friend want to find the proportion of yellow candies in a
candy machine. You take a sample of 30 candies. Your sample proportion
of yellow candies is 15%. Your friend takes 50 random samples of size 30
and her average proportion is 11%.
What is your estimate of the true proportion of yellow candies in the
machine? Why?
This question is solved using sampling, and proportions concepts.
The sample proportion is the point estimate for the population proportion, and we use this to find the estimate, which we find as 15% = 0.15, which is the sample proportion.
----------------------------------------------------
Proportion:
A proportion is the number of desired outcomes divided by the number of total outcomes.
----------------------------------------------------
In this question:
You take a sample of 30 candies. Your sample proportion
of yellow candies is 15%.
Thus, the point estimate of the true proportion of yellow candies in the sample, according to your sample, is of 15%.
----------------------------------------------------
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Rosemary and Darwin are discussing how to find the value of
-28 + 45. Rosemary says the value of -28 + 45 = -73. Darwin
says the value of -28 + 45 = 17.
Who is correct, and why?
Answer:
Darwin
Step-by-step explanation:
-28+45=17 because 45-28=17. To prove, do the math!
PLS HELP ASAP WILL GIVE BRAINLIST
what is true about the complex number -5+5i, check all that apply
a. it lies in quadrant 2
b. it lies in quadrant 4
c. the modulus is 5√2
d. the modulus is 10
Answer:
Hello,
-5+5i=x+iy
Step-by-step explanation:
A is true (x=-5, y=5 )
B is false because of A
C is true ||-5+5i ||²=(-5)²+(5)²=2*5²
==> ||-5+5i ||=5√2
D is false because of C
What is the HCF for 20 40 35
Answer:
5
Step-by-step explanation:
Prime factorize 20 , 40 , 35
20 = 2 * 2 * 5
40 = 2 * 2 * 2 * 5
35 = 5 * 7
HCF = 5
HCF is the common factor found in 20 , 40 and 35
Answer:
Below
Step-by-step explanation:
The HCF or GCF of these number would be 5!
5 x 4 = 20
5 x 8 = 40
5 x 7 = 35
Hope this helps!
Which correlation best describes the data below.
Answer:
Weak negative correlation
Please help explanation if possible
Answer:
(1, - 2 )
Step-by-step explanation:
Given the equations
3x - 4y = 11 → (1)
y + 3x = 1 ( subtract 3x from both sides )
y = 1 - 3x → (2)
Substitute y = 1 - 3x into (1)
3x - 4(1 - 3x) = 11 ( distribute and simplify left side )
3x - 4 + 12x = 11
15x - 4 = 11 ( add 4 to both sides )
15x = 15 ( divide both sides by 15 )
x = 1
Substitute x = 1 into (2) for corresponding value of y
y = 1 - 3(1) = 1 - 3 = - 2
solution is (1, - 2 )
Please help me to solve this question as soon as possible. Thank you.
Answer:
Step-by-step explanation:
they will attend on april 12
