I NEED HELP PLEASE, THANKS! :)
Find the solutions of each equation on the interval [0, 2π). Show work.
Answers
Answer: 0π
Step-by-step explanation:
[tex]sin\bigg(\dfrac{3\pi}{2}+x\bigg)+sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\2sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-1\\\\\\\dfrac{3\pi}{2}+x\bigg=sin^{-1}(-1)\\\\\\\dfrac{3\pi}{2}+x=\dfrac{3\pi}{2}\\\\\\\large\boxed{x=0}[/tex]
Related Questions
Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be
Answers
Answer:
90 degrees
Step-by-step explanation:
Answer:
you didn't specify much!
So I am saying they are 45° each and that make the sum of both 90°
Step-by-step explanation:
According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,
I need help pls A certain university in the United States has a student enrollment of 19,100. Mr. Hill knows the percentage of students that are male and the percentage of students that are female. Suppose a student reaches in the bag and randomly selects nine red chips and eleven yellow chips. Based on this sample, what is a good estimate for the number of enrolled university students that are male?
Answers
Answer:
About 8595 students
Step-by-step explanation:
If approximately 9/20 of the students are male, multiplying this by the total number of students enrolled will give a good approximation of the total number of enrolled males. 9/20 * 19100=8595. Hope this helps!
Answer:
8595
Step-by-step explanation:
9/11 is the ratio of male to female
9/20 of students are male and 11/20 are female
If total number is 19100,
then male= 19100*9/20= 8595
4. How else can the ratio 4/5 be written?
O A.4:5
O B.5:4
O C.54
O D..2
Answers
Answer:
Answer is option a) 4:5
Step-by-step explanation:
[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Please answer this question now in two minutes
Answers
Answer:
y = 2x +10
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:
m = -1/(-1/2) = 2
Using the above point-slope form equation, we can write the equation of line t as ...
y -4 = 2(x -(-3))
y = 2x +6 +4 . . . . add 4, simplify
y = 2x +10 . . . . equation of line t
Anyone know the answer to this one ?
Answers
Answer: B) y = 2 · 3ˣ
Step-by-step explanation:
We can see that (2, 18) is a point on the graph.
Plug it into the equations to see which one make a true statement.
A) y = 1 · 3ˣ
18 = 1 · 3²
18 = 1 · 9
18 ≠ 9
B) y = 2 · 3ˣ
18 = 2 · 3²
18 = 2 · 9
18 = 18 This works!
C) y = 3 · 2ˣ
18 = 3 · 2²
18 = 3 · 4
18 ≠ 12
D) y = 4 · 3ˣ
18 = 4 · 3²
18 = 4 · 9
18 ≠ 36
My number is odd. It is a factor of 30 and a multiple of 3 what are my 2 numbers?
Answers
Answer:
3 and 15
Step-by-step explanation:
Factors of 30
30 = 2 , 3 , 5 , 6 , 10, 15
Odd numbers are: 3, 5, 15
Odd number & multiple of 3 are: 3 and 15
The required two odd numbers are 3 and 5.
We have to determine, It is a factor of 30 and a multiple of 3 what are 2 numbers.
To obtain the factor of 30 and 2 numbers is calculated in the following steps.
The Factors of 30 are,
30 = 2 , 3 , 5 ,
And multiply the terms by 2,
[tex]= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10[/tex]
After multiply by 2 all the term become even.
Then,
The 2 odd numbers are: 3, 5
Hence, The required two odd numbers are 3 and 5.
To know more about Odd numbers click the link given below.
https://brainly.com/question/16871801
Simplify the expression in the following photo.
Answers
Answer:
0
Step-by-step explanation:
If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 - 3 + 1 = 0.
Work out the size of angle x.
304°
115)
X
Answers
Answer:
121
Step-by-step explanation:
Angles on a line add up to 180.
180 - 115 = 65
Angles in a circle add up to 360 degrees.
360 - 304 = 56
Angles in a triangle add up to 180 degrees.
180 - 56 - 65 = 59
Angles on a line add up to 180 degrees.
180 - 59 = 121
Following are the calculation to the angle:
Given:
Please find the given question.
To find:
angle=?
Solution:
The sum of all the angles on a line is 180.
[tex]\to 180^{\circ} - 115^{\circ} = 65^{\circ}[/tex]
A circle's angles sum up to [tex]360^{\circ}[/tex]
[tex]\to 360^{\circ} - 304^{\circ} = 56^{\circ}[/tex]
The triangle's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 56^{\circ} - 65^{\circ}= 59^{\circ}[/tex]
The line's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 59^{\circ} = 121^{\circ}[/tex]
Therefore, the final answer is "[tex]121^{\circ}[/tex].."
Learn more:
brainly.com/question/18255413
ASAP The rectangle below has been enlarged by a scale of 3.5. A rectangle with a length of 8 and width of 6. [Not drawn to scale] What is the area of the enlarged rectangle?
Answers
Answer:
588 units^2
Step-by-step explanation:
To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.
This is 3.5 multiplied by their original measures:
Length = 3.5 x 8 = 28
Width = 3.5 x 6 = 21
Now, area =. LxW = 588 units^2
Hope this helps
Answer:
588 units squared
Step-by-step explanation:
We have a rectangle that has dimensions 8 units by 6 units.
From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:
new length = 8 * 3.5 = 28 units
new width = 6 * 3.5 = 21 units
Given this, we can now calculate the area.
The area of a rectangle is denoted by A = lw, where l is the length and w is the width.
Here, the length is l = 28 and the width is w = 21. Plug these in:
A = lw
A = 28 * 21 = 588
The answer is thus 588 units squared.
~ an aesthetics lover
If y varies inversely as x, and y = 10 when x = 20,
find x when y = 16.
Answers
Answer:
12.5
Step-by-step explanation:
y varies inversely as x.
y = k/x
10 = k/20
200 = k
The constant proportion k is 200.
16 = 200/x
Cross multiply.
200 = 16x
200/16 = x
x = 12.5
what would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
Answers
Answer:
a=3,b=5
Step-by-step explanation:
[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]
so as you got it:
[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]
What stamens is converse of p
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade. If every fourth card drawn isn’t a spade, then 25% of the cards in a deck aren’t spades. If 25% of the cards in a deck aren’t spades, then every fourth card drawn wouldn’t be a spade. If every fourth card drawn isn’t a spade, then 75% of the cards in a deck are spades.
Answers
Answer:25
Step-by-step explanation:
Get monkeyd
Which of the following expressions is equivalent to -10? Which of the following expressions is equivalent to -10?
-7 + 3
-3 - 7
3 - 7
7 - 3
Answers
Answer:
-3-7
Step-by-step explanation:
-3-7=10
Answer:
-3 - 7.
Step-by-step explanation:
-3 - 7 = -10.
Work out the mean for the data set below: 1, 2, 1, 2, 2, 5 Give your answer as a fraction.
Answers
Answer:
13/6 or 2 and 1/6
Step-by-step explanation:
The mean (or average) is the sum of all elements divided by the amount of elements. In this case that would be (1 + 2 + 1 + 2 + 2 + 5) / 6 = 13 / 6 or 2 1/6
What is the y-intercept of the line whose equation is 2x-3y=-6
Answers
Answer:
(0, -2)
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-3y = 6 - 2x
y = -2 - 2/3x
Step 2: Find y-int
y = -2 -2/3(0)
y = -2
(0, -2)
I need help ASAP!! If you know what you’re doing go ahead and answer but if you don’t, don’t even bother thanks
Answers
Answer:
133.97 cm³
Step-by-step explanation:
The volume of a cone is given by:
[tex]V = \frac13 \pi r^2h[/tex]
r is half the diameter, so 4 cm
h is 8 cm
So:
V= 1/3 * 3.14 * 16 * 8 ≈ 133.97 cm³
Solution: 3.14*r^2 *h/3
r: 8
h:3
3.14*8^2*8/3
Please help me.. very appreciated if you do
Answers
1 Answer:
D
2 Answer:
B
Step-by-step explanation:
-x ≤ -3all we should do here is multiply both sides by -1 and switch the sign ≤ since we multiplied by a negative number
-x ≤ -3 x ≥ 3x is equal or greater than 3 so 3 is included
3 will be represented by a clored dot
so the graph is D
-6- x ≤ -3again multiply by -1 to get rid of the - signs and switch ≤ by ≥ since it's a negative number
-6 -x ≤ -3 6+x ≥ 3 substract 6 from both sides x+6-6 ≥ 3-6 x ≥ -3x is equal or greater than -3 so -3 is included
the graph is b since there is a dot in -3
A particular movie theater charges $ 9.00 per adult ticket and $ 3.5 0 per child ticket. Suppose 550 people attended a movie and the total revenue from ticket sales was $ 3575 . Write two linear equations to represent a system to solve this, where x represents the number of adults attending the movie and y represents the number of children attending the movie. Write the equations, but do not solve them. The first equation must come from the information given about the total attendance and the second must come from the ticket prices and revenue. 1)= ? 2)= ?
Answers
Answer:
If x represents the no. of adults
and y represents the children, then
x + y = 550
9x + 3.50y = 3575
Answer:
Step-by-step explanation:
Number of children = y
Number of adults = x
Total people = 550
x + y = 550 ------------------ (I)
Charge for 'y' children =3.50 * y = 3.5y
Charge for 'x' adult = 9 * x = 9x
Total amount = $ 3575
9x + 3.5y = 3575 -------------(II)
Multiply equation (I) by (-9)
(I)*(-9) -9x - 9y = -4950
(II) 9x + 3.5y = 3575 { Now add and so 'x' will be eliminated}
- 5.5y = -1375
y = -1375/-5.5
y = 250
Plug in y = 250 in equation (I)
x + 250 = 550
x = 550 - 250
x = 300
Number of children = 250
Number of adults = 300
Segment RT and Segment GJ are chords that intersect at point H. If RH = 6 units, HT = 5 units, and GH = 3 units, what is the length of line segment HJ? A.) 20 B.) 10 C.) 5 D.) 40
Answers
Answer:
B.) 10 i think
Step-by-step explanation:
In how many ways can 2 juniors and 2 seniors be selected from a group of 8 juniors and 6 seniors?
Answers
Answer:
Step-by-step explanation:
8c2×6c2=((8×7)/2)×((6×5)/2)=28×15=420
I NEED HELP PLEASE, THANKS! :)
Answers
Answer: 2157
Step-by-step explanation:
3 | 5 10 3 8 -6 -3
| ↓ 15 75 234 726 2160
5 25 78 242 720 2157 ← remainder = f(3)
Answer:
Step-by-step explanation:
f(x)=5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3, f(3)
means that : 5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3 is divided by x-3
it won't let me add more attachments
the lowest number is 11 the range is 13 and the median is 17 what are the 3 numbers
Answers
Answer:
11, 17, and 28.
Step-by-step explanation:
[tex]x, y, z\\[/tex]
Lowest number is [tex]x[/tex]
Median is [tex]y[/tex]
Highest number is [tex]z[/tex]
[tex]x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28[/tex]
The three numbers are 11 , 17 and 24
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first number be = a
Let the second number be = b
Let the third number be = c
And , the lowest number is 11
So , the value of a = 11
The median is 17
So , the value of the middle number b = 17
Now , the range of the three numbers = 13
So , the maximum value - minimum value = 13
Substituting the values in the equation for range , we get
c - a = 13
c - 11 = 13
Adding 11 on both sides , we get
c = 11 + 13
c = 24
Therefore , the value of a = 11 , b = 17 and c = 24
Hence , The three numbers are 11 , 17 and 24
To learn more about equations click :
https://brainly.com/question/10413253
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Calculate the measure of arc AG if a=20 and b=10
Answers
Answer:
90°
Step-by-step explanation:
∆GFD is an isosceles right triangle, so angle FDG is 45°. Segment DF bisects angle EDG, so that angle is 90°.
Arc AG is the other half of the semicircle AGE that includes 90° arc GE.
So, arc AG is 90°.
__
Comment on the problem
"a" and "b" are irrelevant to arc AG. They come into play for arc CE.
Please answer now only have two minutes left do it fast
Answers
Answer:
work is shown and pictured
Which value of x from the set {4, 5, 6, 7), makes this equation true?
4(8 - x) = 8
OA.
4
B.
5
OC. 6
OD.
7
Answers
Hey there! :)
Answer:
C. x = 6.
Step-by-step explanation:
Given:
4(8 - x) = 8
Solve for x. Distribute:
32 - 4x = 8
Subtract 32 from both sides:
-4x = -24
Divide both sides by -4:
-4x/(-4) = -24/(-4)
x = 6.
which answer describes the graph of the system of equations?
Answers
Answer:
D, the lines coincide.
Step-by-step explanation:
isolate the y so theres no 2y, only y:
2y = 8 - 2x (divide both sides by 2)
y = 4 - x
The lines are the same line, so while they are plural, they also coincide, as one lies on top of the other.
Hope this helps :) Brainliest??
Answer:
its D
Step-by-step explanation:
A drawer contains three red marbles, four green marbles, and five blue marbles. One marble is taken from the drawer and then replaced. Another marble is taken from the drawer. The problem models: a dependent event. independent events.
Answers
Answer:
independent events
Step-by-step explanation:
dependent is when the previous event affects the outcome of the next event.
Ex: When I draw a card without replacement at first I will have 52 cards. Once I draw the card, I will have only 51 cards to choose from.
Independent event is when the outcome is not related.
Example like the problem given to you
What formula tells the cost, in dollars, if
chocolate chip cookies are $1.50/dozen and
lemon frosteds are $ 1.00/dozen? Let c =
number of dozens of chocolate chip cookies; L=
number of dozens of lemon frosteds; T = total
charge.
Answers
Answer:
T = $1.50C + $1.00L
Step-by-step explanation:
Chocolate chip cookies - $1.50/dozen
C: # of dozens of chocolate chip cookies
↓
$1.50C
Lemon Frosteds - $1.00/dozen
L: # of dozens of lemon frosteds
↓
$1.00L
T(total) = $1.50C + $1.00L
Hope that helps.
sorry i meant to put this picture.. for math
Answers
Answer:
Area = 4.5 cm²
Step-by-step explanation:
Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]
Where Base = 3 cm, Height = 3 cm
So,
Area = 1/2 (3*3)
Area = 9/2
Area = 4.5 cm²
The function h(t) = 2.3 + 50t - 1.86t^2 models the height of an arrow shot from a bow on Mars, where h(t) is the height in metres and t is time in seconds. How long does the arrow stay in flight?
Answers
Answer:
The arrow stay in flight for 26.92 seconds
Step-by-step explanation:
We are given that the height of an arrow shot from a bow on Mars is modeled by equation:
[tex]h(t) = 2.3 + 50t - 1.86t^2[/tex]
Where h(t) is the height of arrow
t is the time in seconds
Now we are supposed to find How long does the arrow stay in flight?
Substitute h(t)=0
So,[tex]2.3+50t-1.86t^2=0[/tex]
[tex]1.86t^2-50t-2.3=0[/tex]
t=-.04 , 26.92
Since the time cannot be negative
So,the arrow stay in flight for 26.92 seconds