what's the question?
For 0° ≤ x < 360°, what are the solutions to sin(StartFraction x Over 2 EndFraction) + cos(x) – 1 = 0 ?
{30°, 150°}
{60°, 300°}
{120°, 240°}
{210°, 330°}
{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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Can someone please help, ty!!
(Will mark brainliest)
Answer:
week 2
Step-by-step explanation:
week 2 starts at 65 and ends at 90 (25 difference)
week 1 starts at 60 and ends at 82ish (22 difference)
(GIVING BRAINLIEST & EXTRA POINTS!! PLS DRAW IT OUT! I DONT WANT TO KNOW THE ANSWER TO THE MULTIPLICATION, I WANT TO SEE HOW YOU SOLVE IT TO GET THE ANSWER :))
1. Use the square grid to find the area.
4 cm x 1 41 cm =_________
Here is the image:
Answer:
5
Step-by-step explanation:
1 1/4 x 4
(1 x 4) + 1 = 5/4
5/4 x 4/1 = 20/4
20/4 = 5/1
Hope this helped.
Which of the following option(s) is a unique curve that can be defined using polar coordinates? Select all that apply.
Rose
rational expression
cardioid
cubic function
lemicon
Answer:
1 2 and 3
Step-by-step explanation:
Hopefully this helps
Please help me don’t do it for points
Answer:
The answer is b and d
Step-by-step explanation:
The other answers are wrong.
Therefore b and d are correct.
Hope you get it right and this helps!
Convert 22 miles to yards. Use a proportion to solve. Make sure to show your work.
Answer:
22 meters/23.98 yards= 1 meter/ 1.09 yards
Step-by-step explanation:
You would multiply 22 by 1.09 and that is 23.98. Then you divided that from 1 and get 23.98 or you can round it to 24.
Help Meeeee Pleaseeeee
Answer:
m∠XYZ = 162°
Step-by-step explanation:
We can see that ∠XYZ is an exterior angle while ∠W and ∠X are the opposite interior angles.
We know that the exterior angle of triangle is equal to the sum of opposite interior angles
Given
m∠XYZ = (15x-18)°
m∠W = (5x+2)°
m∠X = (8x+4)°
Mathematically it can be written as:
m∠X+m∠W = m∠XYZ
[tex]8x+4+5x+2 = 15x-18\\13x+6 = 15x-18\\13x-15x = -18-6\\-2x = -24\\\frac{-2x}{-2} = \frac{-24}{-2}\\x = 12[/tex]
Putting x=12 in m∠XYZ
[tex]15x-18\\=15(12)-18\\=180-18=162[/tex]
Hence,
m∠XYZ = 162°
A car travels 351 miles on 13 gallons of gas. What is the number of miles driven per gallon of gas?
a. 24 mpg
b.27 mpg
c. 29 mpg
d. 28 mpg
Find the slope of the line passing through the points (-9, 3) and (-9, -2).
Answer:
Undefined slope
Step-by-step explanation:
To calculate the slope between two points, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
The formula for the slope m between points (x₁, y₁) and (x₂, y₂) is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] , which is also known as "rise over run".
Here, we have the points (-9, 3) and (-9, 2).
x₁ = -9, y₁ = 3, x₂ = -9, y₂ = -2. We can plug these values in to the "rise over run" equation:
[tex]m=\frac{-2-3}{-9-(-9)}[/tex]
[tex]m=\frac{-5}{0}[/tex]
This is a vertical line.
The slope of a line cannot be undefined (a vertical line), because the x-coordinate never changes no matter what the y-coordinate is. Thus, the slope is undefined for the line passing between these two points.
SOMEONE HELP ME ASAP PLEASEE
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
The diagram shows a 90 degree angle between the angles [tex]5x-2[/tex] and [tex]6x+4[/tex] They all lie on a straight line, so if you add them together you get 180[tex](5x-2)+(6x+4)+(90)=180\\5x+6x+4+90-2=180\\11x+92=180\\11x+92-(92)=180-(92)\\11x=88\\x=8[/tex]HELP WANTED with this equation!
Answer:
Step-by-step explanation:
5/8 = 15/24 times 4 2.5 an hour
2/3 = 16/24 times 5 3 an hour
Machine B has the greater rate
Karen, Mary and Amy sold candy bars as a fundraiser. Karen sold three more than twice the number of bars Mary sold. Amy sold five more bars than Karen. Write an expression to represent the total number of candy bars sold.
HELPPPPPP PLEASE
Rewrite as a simplified fraction.
0.67 = ?
7 is repeating forever
Answer:
67/100
Step-by-step explanation:
its the simpelist form
____2. Find the value of x
A 16 C 50
B 34 D 70
Are the ratios 6:5 and 4:3 equivalent?
x=2y-6;y=3x-7
substitution to solve systems of equations
As you said, we can solve this system for y by using substitution.
[tex]x = 2y - 6\\y = 3x - 7\\\\y = 3(2y - 6) - 7\\\\y = 6y - 18 - 7\\\\y = 6y - 25\\\\-5y = -25\\\\y = 5[/tex]
Now, using what we got for y, we plug it into one of the original equations to solve for x.
[tex]x = 2(5) - 6\\\\x = 10 - 6\\\\x = 4[/tex]
Now we have the solution of this system.
[tex](4, 5)[/tex]
For the given equations x=2y-6 and y=3x-7 the value of x is 4 and the value of y is 5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two equations are x=2y-6 and y=3x-7. The value of x and y will be calculated as,
x=2y-6
y=3x-7
Solve the above equations by substitution method,
x=2(3x-7)-6
x = 6x -14 - 6
6x - x = 20
5x = 20
x = 4
The value of y will be calculated as,
y=3x-7
y = ( 3 x 4) - 7
y = 12 - 7
y = 5
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Help please!!!!!!!!!
Answer:
-9+12
Step-by-step explanation:
Answer:
12 - g
Step-by-step explanation:
12 - g
Addition property of zero: Any number added to 0, gives the same number
One-third of the result of three times a number that is increased by 12
Answer:
(1/3)(3x+12)
Step-by-step explanation:
1/3
times (3x+12)
3x+12 will be three times the number x + 12
The perimeter of a rectangle is 42 inches inches if the width of the rectangle is 6 inches what is the length
Answer:
15 I think.
Step-by-step explanation:
If the perimeter is 42 inches and the width is 6 inches. That is only one side so you multiply.6 by 2 to get 12. Then 42 minus 12 is 30. Finally you split 30 into 2, to get the length. Since there are to sides. So 15.
y = cos 4(x) period
What is the area of this triangle?
Answer:
21
Step-by-step explanation:
The area of a triangle is base times height divided by two. Your base, which happens to be on top, goes from -4 to 3, or 7 units. The height goes from 3 to -3, or 6 units. 6 times 7 is 42, and 42/2= 21
Question 3 (2 points)
A unit rate is
A rate in which the second quantity in the comparison is one unit.
Answer:
true
Step-by-step explanation:
it's true, good luck :)
Express 60 percent as a decimal.
Answer:
.60
Step-by-step explanation:
Answer:
0.60 60% = 0.60
Which exponential function has an x-intercept?
A.
F(x) = 100+-5-1
B.
F(x) = 3x4+2
C.F(x) = 7+-1 + 1
D.
F(x) = -8x+1 – 3
The exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.
What is an exponential function?It is the mathematical function that should be denoted by f(x)=\exp or [tex]e^{x}[/tex]. It defined the positive valued function with respect to the real variable. Also, it could be extended to the numbers that are complex or could be general to the other maths objects.
hence, The exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.
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Please help ASAP Due in 1 day!!! Marking Brainliest!!!
Answer:
C
Step-by-step explanation:
4(7)-10=18
28-10=18
18=18
Answer:
It's C I think
have a nice day mate
#Captainpower
What is the slope-intercept form of the linear equation 2x–8y=32?
Answer: y = 1/4x - 4
Step-by-step explanation: write it in slope intercept form y = mx + b
prestige builders has a development of new homes.there are four different floor plans,seven exterior colors,and an option of either a two car or a three-car garage. How many choice are there for one home?
Answer:
there are 56 choices for one home
Step-by-step explanation:
plz give brainliest :)
Researchers collected data from a group of people who completed
30 minutes of moderate exercise based on their age, The table and
scatterplot show each person's age and the maximum heart rate in
beats per minute (bpm) each person reached while exercising,
A.h(x)=2.9x-250
B.h(x)=4.2x-276
C.h(x)=-2.9x+250
D.h(x)=-4.2x+276
Answer: I think its C h(x)=-2.9x+250
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Seven
Cruel
Hours
Of
Our
Lifes
what math means
Mental
Abuse
To
Humans
Answer:
I like math.
Step-by-step explanation:
But I don't do seven hours of school because I am doing online school. I do 8 most of the time
A card is drawn at random from a standard 52-card deck. What is the probability of drawing a red card or a 7 of spades?
Answer: I think it would be 1/52
Step-by-step explanation: