{60°, 300°}
Using the half angle identity:
[tex]\sin\left(\frac{x}{2}\right)+\cos\left(x\right)-1=0\\\sin\left(\frac{x}{2}\right)+1-2\sin^{2}\left(\frac{x}{2}\right)-1=0\\\sin\left(\frac{x}{2}\right)-2\sin^{2}\left(\frac{x}{2}\right)=0\\\sin\left(\frac{x}{2}\right)\left(1-2\sin\left(\frac{x}{2}\right)\right)=0\\[/tex]
Using zero product rule:
[tex]\sin\left(\frac{x}{2}\right)=0,\frac{1}{2}\\x=\frac{x}{2}=0,30,150,180\\x=0,60,300,360[/tex]
Since, 0° ≤ x < 360°, so, x=60,300
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Find the difference. 256,805 - 136,667 *
Answer: 120,138
Step-by-step explanation:
Answer: 120,138
Step-by-step explanation:
Subtract
Write each amount in words as it would appear on a check. $10.91
Answer: Ten and 91/100.
Step-by-step explanation:
I need help finding this answer
Answer:
x = -6
Step-by-step explanation:
What value of p makes the equation true? (-3)(p) + 1/8 = -1/4
Answer:
Exact Form:
p=1/8
Decimal Form:
p=0.125
Step-by-step explanation:
HELP ME FAST!!
4.64 divided by 8=
Answer:
the answer is 0.58
Step-by-step explanation:
4.64÷8 is that so
PLEASE HELP ME ASAP I NEED ANSWERS PLEASEEE
Answer:
p= 21
Explanation:
FIRST DO
3(21) -7
3 × 21 = 63
63 - 7 = 56
THEN DO
6(21) - 2
6 × 21 = 126
126 - 2 = 124
FINALLY
It needs to add up to 180°
124 + 56 = 180°
Therefore, the value of p = 21
Hope this helps!!! :)
Solving Quadratic Equations question pls help asap 10 points!
Answer:
A.) 81
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
3.484
+ 17
What’s the answer?
Answer:
504
Step-by-step explanation:
Answer:
20.484
Step-by-step explanation:
Just add it up, 3.484 plus 17 is equal to 20.484.
3.484
+ 17
-------------
A data set includes 40 pulse rates of men, and those pulse rates have a mean of 67.3 beats per minute and a standard deviation of 10.3 beats per minute. Construct a 99% confidence interval estimate of the standard deviation of the pulse rates of men.a) 8.4 beats per minute
Answer:
The 99% confidence interval of the standard deviation of the pulse rates of men is
[tex][ 7.949 \ \ , \ 14.387 ][/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 40
The mean is [tex]\= x = 67.3 \ beats \ per \ minute[/tex]
The standard deviation is [tex]s = 10.3 \ beats \ per \ minute[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 40- 1[/tex]
=> [tex]df = 39[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the chi distribution table the critical value of at a degree of freedom of is
[tex]X^2 _{\frac{\alpha }{2} , 39} = 65.476[/tex]
Generally from the chi distribution table the critical value of at a degree of freedom of is
[tex]X^2 _{1- \frac{\alpha }{2} , 39} = 19.996[/tex]
Generally the 99% confidence interval of the standard deviation of the pulse rates of men is mathematically represented as
[tex]s \sqrt{\frac{n- 1}{X^2_{1- \frac{\alpha }{2} , n-1} } }\ \ , \ s \sqrt{\frac{n- 1}{X^2_{\frac{\alpha }{2} , n-1} } }[/tex]
=> [tex]10.3 \sqrt{\frac{40- 1}{65.476} }\ \ , \ 10.3 \sqrt{\frac{40- 1}{19.996} }[/tex]
=> [tex][ 7.949 \ \ , \ 14.387 ][/tex]
It costs $3.45 to buy 3/4 lb of chopped walnuts. What is the unit price for one
pound of chopped walnuts? Show or explain your reasoning. *
Answer:
Step-by-step explanation:
3.45/(3/4)
3.45/0.75
4.6$ per pound
Does (5, 10)make the inequality y ≥ 10x+5 true
Answer:
It is False.
Step-by-step explanation:
When you substitute the coordinates into the inequality equation :
[tex]y \geqslant 10x + 5[/tex]
[tex]let \: x = 5,y = 10[/tex]
[tex]10 \geqslant 10(5) + 5[/tex]
[tex]10 \geqslant 55 \: (false)[/tex]
Therefore, 10 isn't greater than 55.
[tex]\qquad\quad {:}\longmapsto\sf x=5 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf y=10 [/tex]
Write the inequality equation[tex]\qquad\quad {:}\longmapsto\sf y \geqslant 10x+5[/tex]
Substitute the values[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 10 (5)+5 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 50+5 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10 \lt 55 [/tex]
[tex]\therefore \sf y \geqslant 10x+5 {\boxed {False}}[/tex]
Write 34/7 as a mixed number in simplest form
Answer:
4 6/7
Step-by-step explanation:
34/7
We finds out how many 7s are in 34
5 * 7 is 35, so it must be 4.
when 34 is divided by 7, the answer would be 4 and 6 remainders.
put the remainders back into the nominator part of the fraction.
so it's 4 6/7
pls help i need help pls asap
Answer:
I Think C most likey because u can dived them very easily
The solution is (3, –2).
Verify the solution. Which true statement appears in your check?
Answer:-2=-2
Step-by-step explanation: i took the assignment
i need help
ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr
Answer:
ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr = 42
Step-by-step explanation:
Answer:
go back to 1st grade
How many lines of symmetry are in this snowflake design?
A. O
B. 3
C. 6
D.9
E. 12
Answer:
c plz give brainliest
Step-by-step explanation:
What is the perimeter, in units, of polygon ABCDEF
Answer:
30
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
The perimeter of the marked polygon is 26 units.
What is a perimeter?Perimeter is the distance around the outside of a shape.
Given is a polygon, ABCDEF,
Using the distance formula, we have,
(P, Q) = √ (x2 – x1)² + (y2 – y1)².
AB = 3 units
BC = 4 units
CD = 3 units
DE = 7 units
EF = 6 units
FA = 3 units
Perimeter = AB+BC+CD+DE+EF+FA = 3+4+3+7+6+3 = 26 units.
Hence, The perimeter of the marked polygon is 26 units.
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10. Find the slope of a line perpendicular to the line containing (-8, 10) and (0,9).
the slope would be 8/1
your welcome
6.Which describes 9 and -9?
O A. positive integers
O B. opposites
O C. negative integers
Answer:The answer is B... they are opposites...both are integers but 9 is positive and -9 is negative which make them opposites.
Step-by-step explanation:
he probability that an individual has 20-20 vision is 0.13. In a class of 24 students, what is the probability of finding five people with 20-20 vision
Answer: 0.111947
Step-by-step explanation:
Let x be a binomial variable that represents the number of people with 20-20 vision.
Given: The probability that an individual has 20-20 vision: p= 0.13
Sample size : n= 24
Binomial probability distribution formula:
[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]
The probability of finding five people with 20-20 vision :
[tex]P(X=5)=\ ^{24}C_5(0.13)^5(1-0.13)^{24-5}\\\\=\dfrac{24!}{5!19!}(0.13)^5(0.87)^{19}\\\\=0.111946975387\approx0.111947[/tex]
Hence, the required probability = 0.111947
The probability of finding five people with 20-20 vision is 0.0461.
Binomial Probability:The formula for the Binomial Probability is,
[tex]P(X = x) =(\frac{n!}{x!(n-x)!} )\times p^x \times (1-p)^{n-x}[/tex]
Given that,
[tex]p = 0.13\\1 - p = 0.87\\n = 72\\x = 5[/tex]
Substituting the given values into the above formula we get,
[tex]P(X = x) =(\frac{n!}{x!(n-x)!} )\times p^x \times (1-p)^{n-x}\\P(X=5)=(\frac{72!}{5!(72-5)!} ) (0.13)^5(0.87)^{72-5}\\P(X=5)=0.0461[/tex]
Learn more about the topic Binomial Probability:
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steve must pay 28% of his salary in federal income tax. If his salary is 168,000, how much is his federal income tax
Answer:
Step-by-step explanation:
168000*28%=47,040
merry early Christmas help me thx.
Answer:
The answer is 4 to 5
Step-by-step explanation:
The ratio 36 to 45 simplified is 4 to 5
36 divided by 9 = 4
45 divided by 9 = 5
This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets sold last week for the school Play?
Answer:
the awnser is 250 i took the test and got it correct
Step-by-step explanation:
Answer:
300÷1.20
Step-by-step explanation:
A bike shop marks up a hybrid bike from $200 to $330 and discounts a road bike from 330 to 200 by what you percent is the road bike discounted . I need the answer ASAP
Answer:
39.39%
Step-by-step explanation:
There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.
[tex]Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100[/tex]
1 - Understanding the equation
The '|'s which are surrounding the fraction are absolute value symbols in mathematics,
Absolute value means the positive value of anything inside
Examples:
| -8 | = 8
| 8 | = 8
and
| -2 | = 2
| 2 | = 2
the * 100 means you multiply (the * symbol means multiply) by 100.
We do this to get it into a percent.
3 - Assign numbers to the values from our equation
Original Value (What it changed from): 330
New Value (What it changed to): 200
3 - Plug in our values into our variables from our equation[tex]Percent~Change = |\frac{200-330}{330}| * 100 = |\frac{-130}{330}| = = |-0.39...| * 100 = 0.3939... *100 =[/tex]
Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.
Hope this helps :)
Consider the points below. P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
Required:
Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
Answer: the vector orthogonal is ( 0, 26, -13 )
Step-by-step explanation:
Given that;
P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
PQ = Q - P = (−2, 1, 4) - (2, 0, 2) = (-4, 1, 2)
PR = R - P = (7, 2, 6) - (2, 0, 2) = ( 5, 2, 4)
SO
orthogonal vector = PQ × PR
= ║ i j k
-4 1 2 = i(1×4 - 2×2) + j(5×2 - (-4×4)) + k(-4×2 - 5×1) = 0i + 26j - 13k
5 2 4 ║
= ( 0, 26, -13 )
Therefore the vector orthogonal is ( 0, 26, -13 )
Georgia participated in a sleep study in which scientists found that she fell into REM sleep exactly every 45 minutes while she was asleep. If Georgia was asleep for 6One-half hours (390 minutes), how many periods of REM sleep did she have? A number line going from 0 to 420 in increments of 30. 6 periods 7 periods 8 periods 9 periods
Answer:
Well the correct answer for this is 8 periods long
Step-by-step explanation:
did this on edg it should be right
Answer:
8 periods is correct
Step-by-step explanation:
PLEASEEEEE HELP!!!! 20 POINTS AND DONT PUT SOMETHING RANDOM ITS DUE SOON!!
Question: What additional information is needed to prove that triangles ABC and EFG are congruent by the SSS triangle congruence theorem?
A. AB = EG, FH = AC, EF = BC
B. AB = BC, BC =FG, and FG = EG
C. AB = EG, FH = AC, EF = BC
D. BC = EG, FH = EF, AC = BC
Answer:
NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.
AB = EF, BC = FG, AC = EG
Step-by-step explanation:
According to the SSS Congruence statement, for ∆ABC to be congruent to ∆EFG, all the sides of ∆ABC must be congruent to all the corresponding sides of ∆EFG.
This means that:
AB must be congruent to EF
BC must be congruent to FG
AC must be congruent to EG
Therefore, additional information is needed to prove that triangles ABC and EFG are congruent by the SSS triangle congruence theorem are:
AB = EF, BC = FG, AC = EG
NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.
Simplify the following: *
-4– (-5)
Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural.
How wide and tall will the actual mural be?
Drag and drop the height and width of the actual mural into the boxes.
Mural Height Mural Width
2.5 ft5.5 ft10 ft22 ft
Answer:
0.42 ft
0.92 ft
Step-by-step explanation:
Width of mural on painting = 5 inches
Height of mural on painting = 11 inches
12 inches of the painting represents 1 foot of the mural
1 inch of the painting represenets [tex]\dfrac{1}{12}[/tex] foot of the mural.
[tex]5\ \text{inches}=5\times \dfrac{1}{12}=0.42\ \text{ft}[/tex]
[tex]11\ \text{inches}=11\times\dfrac{1}{12}=0.92\ \text{ft}[/tex]
The width of the mural is 0.42 ft and height of the mural is 0.92 ft.
The height and width of the actual mural into the boxes is 0.92 ft and 0.42 ft.
Calculation of the height and width:Since
Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural.
So here the width should be 5 of 1 by 12 should be 0.42 feet
And, the height should be 11 of 1 by 12 should be 0.92 ft.
Hence, The height and width of the actual mural into the boxes is 0.92 ft and 0.42 ft.
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What is the value of a2+c•(2+b)
when a =3 , b=6 and c=5
Answer:
46 is the answer
Step-by-step explanation:
Because:
a2 + c(2+b)
3(2) + 5(2+6)
6 + 5(8)
6 + 40
46
Answer:
49
Step-by-step explanation:
a² + c(2+b) = a² + 2c+bc
Expand first.
a² + 2c+bc = 3² + 2(5) + 6×5
Substitute a, b and c with actual values.
3² + 2(5) + 6×5 = 9 + 10 + 30
Evaluate.
9 + 10 + 30 = 49
Simplify.