Answer:
1. 0, 2 π , π , 2 π/3 , 4 π/3
2. 7 π/6 , 11 π/6
Step-by-step explanation:
1. we want to find the value of theta
Let us represent theta by x for ease of documentation
So we have ;
sin 2x + sin x = 0
Mathematically;
sin 2x = 2sinxcosx
So;
2 sin x cos x + sin x = 0
sin x (2 cos x + 1) = 0
sin x = 0
or
2cos x + 1 = 0
x = arc sin (0)
within the given range;
x = theta = 0 , 2 π , π
For;
2 cos x + 1 = 0
2cos x = -1
cos x = -1/2
cos x = -0.5
x = arc cos (-0.5)
x = 2 π/3 , 4 π/3
2. cos 2 x = 1 + sin x
Mathematically;
cos 2 x = 1-2 sin^2x
let sin x = y
1-2y^2 = 1 + y
y = -2y^2
1 = -2y
y = -1/2
y = -0.5
sin x = y
sin x = -0.5
x = arc sin (-0.5)
x = 7 π/6 , 11 π/6
I am timed here! Please help! Answer only if you know the question. Else please don't.
What is the value of [3.6]
A: 3
B: 3.5
C: 3.6
D: 4
Answer: 3
Step-by-step explanation: [ 3.6 ] represents the greatest integer function [ x ]
If x is an integer use that integer
If x is not an integer use the next smaller integer
[ 3.6 ] is not an integer, hence
[ 3.6 ] = 3
What is the domain of this relation?
Answer:
{-3, 3, 5, 9}
Step-by-step explanation:
The domain is simply the inputs (x) used in the function.
Answer:
{-3,3,5,9} this is answer
Solve this please, and show the work
Answer:
6677766666
Step-by-step explanation:
5tettrhfhyyf was a good relationship is a different person and then use it for the same thing to do in the same thing as possible but you should not be afraid of the person is not a bad person than the other person than the difference between the difference and what you want and you know it would
Solve for x.
x/5 = 8/9
Answer:
x = 40/9
Explanation:
5x/5 = 8 * 5/9
x = 40/9
Select all the correct answers
Which equations have a greater unit rate than the rate represented in the table?
Answer:
y=7/9x
Step-by-step explanation:
Find 4 consecutive odd integers whose sum is 456.
Answer:
The answer will be 111,113,115,117
Step-by-step explanation:
hope this helps okkeol :]
Answer: 4 consecutive odd numbers are 111, 113, 115 and 117.
Step-by-step explanation:
Is 30 a reasonable estimate of a quotient for 91,766 ÷ 288?
answer if you know please
Answer:
300 would be
Step-by-step explanation:
Answer:
No, around 300 would be reasonable.
Step-by-step explanation:
Someone please help.
Answer:
SA = 74.4 square yards
V = 32.7 cubic yards
Step-by-step explanation:
formula for SA for square pyramid: Area of Base + Area of 4 Triangles
SA = 3² + 4[(3 x 10.9) ÷ 2]
= 9 + 4(16.35)
= 9 + 65.4
formula for Volume for square pyramid: 1/3 · Area of Base · Height
V = 1/3 · 9 · 10.9
= 3 × 10.9
= 32.7
NEED HELP ON #1 PLEASE ASAP!!!
Answer:
-11/8
Step-by-step explanation:
-1 3/8 , x=-1.375
HELPP
what term does NOT describe the figure?
- concave
- hexagon
- polygon
- regular
A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?
Answer:
Acute triangle.
Step-by-step explanation:
Since all angles in the triangle is less than 90°, it is an acute triangle.
Plz help I am desperate lol
Question # 7
Given two points
(0, 0)(3, 3)Determining the slope of the line passing through the points (0, 0) and (3, 3)
(x₁, y₁) = (0, 0)
(x₂, y₂) = (3, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 0] / [3 - 0]
= 3 / 3
= 1
Thus, the slope of the line = m = 1
Question # 8
Given two points
(1, 3)(5, 5)Determining the slope of the line passing through the points (1, 3) and (5, 5)
(x₁, y₁) = (1, 3)
(x₂, y₂) = (5, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 3] / [5 - 1]
= 2/4
= 1/2
Thus, the slope of the line = m = 1/2
Question # 9
Given two points
(4, 4)(5, 3)Determining the slope of the line passing through the points (4, 4) and (5, 3)
(x₁, y₁) = (4, 4)
(x₂, y₂) = (5, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 4] / [5 - 4]
= -1 / 1
= -1
Thus, the slope of the line = m = -1
Tap on photo please!
Answer:
300 in^2+(whatever the tip is)
Step-by-step explanation:
Area of a rectangle=l*w
A=12*25
A=300
300 in^2
(This does not include the triangle tip of the pencil)
I think you forgot to show the measurements for the triangle tip of the pencil.
the formula for finding that is:
Area of a triangle=1/2*h*w
Which is the best description for this graph?
Someone Please help me :)
Answer: the graph is decreasing everywhere
How many rectangles do you get if you fold a paper 3 times.
You can fold your paper on one, two, or more folds, but only on the folds we've already made. You can't make any new folds.
Find the equation of the line which passes through (2,4) with a slope of 1/2
Answer: the answer is y=1/2x+3
Step-by-step explanation:
Hopes this helps !! Message me if explanation is needed !!!
The equation of the line which passes through (2,4) with a slope of 1/2 is [tex]y = \frac{x}{2} +3[/tex].
What is a slope-intercept form?Y = mx + b is the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m is the slope of the line and b is the intercept. X and y represent the distance of the line from x-axis and y-axis, respectively. The value of b is equal to y when x = 0, and m shows how steep the line is.
Given
Slope m = 1/2
Point (x, y) = (2, 4)
Equation of line which passes through a point (x, y) with a slope of m is
y = mx + b
Substitute the values
⇒ [tex]4=\frac{1}{2}(2)+b[/tex]
⇒ 4 = 1 + b
⇒ b = 4 - 1
⇒ b = 3
Substitute m = 1/2 and b = 3 in equation (1)
[tex]y = \frac{1}{2}(x) +3[/tex]
⇒ [tex]y = \frac{x}{2} +3[/tex]
Hence, the equation of the line which passes through (2,4) with a slope of 1/2 is [tex]y = \frac{x}{2} +3[/tex].
Find more information about slope-intercept form here
https://brainly.com/question/2419445
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bob is twice as old as ralph. three years ago the sum of their ages was 45. what are their ages now?
answer using a let statement
Answer:
Were they both 45? I'm kinda confused on that part, but I think Ralph would be 48 and Bob would be 50
Step-by-step explanation:
Answer:
34 and 17
Step-by-step explanation:
Bob = B
Ralph = R
B=2R
B-3+R-3=45
B+R-6=45
+6 +6
B+R=51
Substitute B for 2R
2R+R=51
3R=51
R=17
2(17)=34
so B is 34 and R is 17
Need help please look
Answer:
The area is 285.1 mi^2
Step-by-step explanation:
Here, we want to find the area of the larger sector
Mathematically, that would be;
theta/360 * pi * r^2
= 270/360 * 3.142 * 11^2
= 285.1 mi^2
Anyone know the answer?!
Answer:
A.
Step-by-step explanation:
4x-(-5x)=9x
-6y-2y=-8y
13-5=8
So, the answer is 9x+8y=8
(hope this helps!)
what 1x0 -p1s yyyyrr
Answer:
87
Step-by-step explanation:
1x0=97x1x0xratio=87
Solve for d.
2 = 2(d - 7)
Answer:
should be 6to make is one so you can multiply it by 1 to get the same number
Step-by-step explanation:
Answer:
D = 8
Step-by-step explanation:
distribute
2 = 2d - 14
add 14 to both side
16 = 2d
divide both sides by 2
8 = d
d = 8
can I get brainliest ?
1 cubic meter =___ million cubic cm
PLEASE ASNWER ASASP!!!!!!!!!!!! i do give be bairlest i dont be lying
Answer:
30 miles.
Step-by-step explanation:
She drove 50/5 = 10 miles in January.
Therefore she drove 3*10 = 30 miles in February.
What is the range of the following numbers:
12,20,18,25,6
Answer:
19
Step-by-step explanation:
You need to find the biggest and smallest number; 25,6
Then you subtract 6 from 25
25-6=19
I hope this helps!!!!!!!
Answer:
19
Step-by-step explanation:
The range is the difference between the highest and the lowest number
So 6, 12, 18, 20, 25 and 25-6 = 19
Factor this expression.
3х^2 - 6x
Unit 6 similar triangles homework 2 similar figures
Answer:
1. Angles: <F=<J, <H=<H, <G=<K
Sides: FG/JK, GH/KH, FH/JH
2. 1/4 3. 5/2 4. X=12 5. 122.5 units 6. x=8; y=35 7. X=3 8. x=25 9. x=12 10. x=15 11. X=14 12. x=13
Step-by-step explanation:
2. 4/8 =1/4
3. 10/4=5/2
4. 5x=60(x=12)
5. 7(35)/2: 245/2= 122.5 units
6. x/28= 6/21: 21x=168: x=8
7. 49/14= 9(x+1)/(x+5): 49(x+5)=9(x+1)+14: 49x+245=126x+14: 245-14=126x-49x: 231=77x: x=3
8. 52/91=x+3/2x1: 52(2x-1)= 91(x+3): 104x-52=91x+273: 13x=325: x=25
9. 5x-3/3x+2= 60/40: 60(3x+2)= 40(5x-3): 200x-120=180x+120: 200=180x+120: 20x=240: x=12
10. 168x-280=160x-60: 8x-120: x=15
11. 12/x+1= 32/3x-2: 12(3x-2)= 32(x+1): 36x-24=32x+32: 4x=56: x=14
12. x+4/2x-7= 51/57: 57(x+4)= 51(2x-7): 57x +228=102x-357: -45x = -585: x=13
Write 32 as a product of it's prime factors
Answer:
All factors of 32 are 1, 2, 4, 8, 16, and 32. Therefore, these are the common factors of 32.
Step-by-step explanation:
Answer:
2 x 2 x 2 x 2 x 2
Step-by-step explanation:
Prime factors are factors that can only factor down to itself and 1.
For example, prime factors can include, but are not limited too:
1, 2, 3, 5, 7, 11, etc.
In this case, you are trying to factor 32.
First, divide 2 (a prime factor) from 32:
32/2 = 16
Next, divide another 2 from 16:
16/2 = 8
Then, you can divide another 2:
8/2 = 4
And finally, another 2:
4/2 = 2
In this case, your prime factorization of 32 is:
32 = 2 x 2 x 2 x 2 x 2, or [tex]2^{5}[/tex]
~
15 4/7 - 11 ⅖=???????
Answer:
mixed fraction= 4 6/35 . exact form= 146/35
Step-by-step explanation:
Solve for x : 8x = 96
Answer:
x=12
Step-by-step explanation:
8x=96
8x/8=96/8
x=12
Hope this helps!
25/4=25/2a =2b=c. A=. B=. C=. answer is 2,3,8
Answer:
Ohhh fancy Smart im not that smart LOL
Step-by-step explanation:
Have A Wonderful Day !!