The radians that the point (-1,0) would pass if rotated counterclockwise until it first reaches (√3/2,-1/2) is 2π/3.
How do we get the radians?When a point on the unit circle is rotated counterclockwise, it traces out an angle in radians. To find the number of radians that the point (-1,0) would pass if rotated counterclockwise until it first reaches (√3/2,-1/2), we can use the fact that the point (-1,0) corresponds to an angle of π radians on the unit circle, and the point (√3/2,-1/2) corresponds to an angle of 5π/3 radians on the unit circle.
To find the number of radians passed, we need to subtract the initial angle (π) from the final angle (5π/3), so (5π/3 - π) = 2π/3 radians.
Therefore, the point (-1,0) will pass 2π/3 radians when it is rotated counterclockwise until it first reaches (√3/2,-1/2)
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A rectangular patio has a length of (3x-6) and a width of 5x, find the perimeter in simplest form
the equations are
option 1. y= -3x+5
option 2. y= -1/3x+5
option 3. y= -3x-5
option 4. y= 1/3x+5
Answer:
option one
Step-by-step explanation:
the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3
Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)
Answer:
a c
Step-by-step explanation:
What is the value for x
What is the value for y
Answer:
y=155, x=65
Step-by-step explanation:
y+25=180
y=155
y=90+x
155=90+x
x=65
if my answer helped please mark as brainliest.
The required measure of angles x and y are 65° and 155° respectively.
Following the given figure, to determine the value of y and x.
In the figure angles y and 25° are supplementary angles, while x, 90°, and 25° are the angles of a triangle.
To determine y, follow the property of supplementary angle:
y + 25 = 180
y = 180 - 25
y = 155°
To determine x, follow the property of the triangle,
x + 90 + 25 = 180
x = 90 - 25
x = 65
Thus, the required measure of angles x and y are 65° and 155° respectively.
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CAN ANYONE PLEASE HELP IVE GOTTEN NONE AND WILL FAIL IF I DONT GET ANY
A ball is thrown into the air with an initial velocity of 30 meters per second.
The quadratic function h(t) = −4.9t^2 + 30t + 10 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Determine h(3) and explain what it represents.
Answer:
55.9
Step-by-step explanation:
The ball takes 3 seconds to go up 55.9 meters.
3^2=9
-4.9 x 9 = -44.1
30 x 3 = 90
-44.1 + 90 = 45.9
45.9 + 10 = 55.9
resiprocal of (-3/7)^2!
Answer:
[tex]\frac{49}{9}[/tex]
Step-by-step explanation:
Given
[tex](\frac{-3}{7})^{2!}[/tex]
Required
Determine the reciprocal
If a number is x, the reciprocal is: 1/x
So, the reciprocal of [tex](\frac{-3}{7})^{2!}[/tex] is:
[tex]\frac{1}{(\frac{-3}{7})^{2!}}[/tex]
[tex]2! = 2*1 =2[/tex]
So, we have:
[tex]\frac{1}{(\frac{-3}{7})^{2}}[/tex]
[tex]\frac{1}{(\frac{-3^{2}}{7^{2}})}[/tex]
Evaluate all exponents
[tex]\frac{1}{(\frac{9}{49})}[/tex]
Take inverse of 9/49
[tex]\frac{49}{9}[/tex]
Hence, the reciprocal of [tex](\frac{-3}{7})^{2!}[/tex] is [tex]\frac{49}{9}[/tex]
Find the perimeter and area of a rectangle of cardboard measuring 14.1 cm by 6.5 cm
Answer:
perimeters =41.2
area=91.65
Step-by-step explanation:
rectangle Perimeter(p) Area (A)
L=length 2 (L+W) L×W
W=width
Answer:
14.1*6.5= your area
6.5+6.5+14.1+14.1=perimeter
Step-by-step explanation:
hope this helps!
find the are area of the square ABCD
Answer:
196 m2
Step-by-step explanation:
Answer:
The area of the square ABCD with side of 14m
is 196 m²
Step-by-step explanation:
Area = a*a = 14 x 14 = 196 m²
a is side
find c and round to the nearest tenth. thank you in advance
Answer and Step-by-step explanation:
90ft = a
55ft = b
50ft = c
Plug into equation.
[tex]50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4[/tex]
29.4° is the answer.
function machine
what is f(-10)=
for what input is the output 93
a) replace x with -10 and solve:
-6(-10)-3 = 60-3 = 57
f(-10) = 57
b) replace f(x) with 93 and solve for x:
93 = -6x-3
Add 3 to each side:
96 = -6x
Divide each side by -6:
x = -16
The input value is -16
lets simplify
a. 4x²×3x
_____
6x²
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Express 0.123123123123123.
as a fraction.
Answer: That's almost impossible because the only way that can be a fracion is this 12312312312312/100000000000000
Step-by-step explanation:
what is the area of a parallelogram that has a base of 8yd and a height of 4yd?
Answer:
32yd²
Step-by-step explanation:
A=bh=8·4=32yd²
Select the letter for the correct answer
,
Answer:
a) 2
Step-by-step explanation:
4:8 and 6:12
4/8 and 6/12
we flip them since we want to find the conversino
8/4 and 12/6
simpilify
2 and 2
scale factor was 2
hope this helps, lmk if it is correct
A farmer created a corn maze. He charged $5 to run through the maze. Some of the trails led to winning a cash prize of $30. Make a tree diagram to show for your own reference......make sure it has: all the "group possible" paths customers might take, entering the maze on the upper, middle, or lower path and proceeding to an exit with or without a pumpkin (at each fork in the maze a person is equally likely to take any path. Finally, find the EXPECTED VALUE of playing this game.
A) $.50
B) $1.50
C) $2.50
D) $3.50
It would be helpful if you can help me with this!
Your uncle is 2 years older than 3 times your age
You are 12 years old. How old is your uncle?
(Look at the picture)
Rosa bought 90 feet of rope for $20.70. She needs 50 more feet. If the unit price is the same, how much will she pay for the extra 50 feet of rope?
Answer:
she will pay 11.50 for the extra rope
7 times s increased by
2
Answer:
7s + 2 would be an expression
Answer:
7x+2? Or maybe 7x (x) 2
Step-by-step explanation:
1.
2.
4.5 4
X 6
answer
bobo gago
Answer:
4.54 x 6 = 27.24
Step-by-step explanation:
Your question is kind of confusing but I suppose you mean: 4.54 x 6. The answer to that is 27.24.
PLEASE HELP I AM STUCK
Answer:
Do the pythagor theorem and add 5
It's 65
What is the value of x?
3
4
6
8
a book which cost 300 naira was sold for 240naira.what was the loss percentage?
Answer:
20%
Step-by-step explanation:
Since the original price of the book is 300 naira...
100% = 300 naira
1% = 300 ÷ 100 = 3 naira
240 ÷ 3 = 80
Since 80% is the percentage of the price after the loss..
100 - 80 = 20%
Urgently need help please . Thanks
Answer:
224 feet^3
Step-by-step explanation:
Cube -> Volume = 4×7×7 = 196 feet^3
Prism -> Volume = 2×7×2 = 28 feet^3
196+28=224
two step equations 12=18-d
Answer:
In this exercise, you need to get d:
12 = 18 - d
What we can do is substracting 18 in both sides:
12 - 18 = 18 - 18 - d
-6 = -d
And then, we can say that d = 6..
Tell whether the line or segment is best described as a radius, chord, diameter, secant, or tangent of ⨀P
Answer:
Chord: Secant: Tangent: Radius: Diameter: Using String to Draw a Circle Tell whether the line, ray, or segment is best described as and the radius and the diameter as lengths. P secant point of tangency tangent.
can you solve it using a method? and show work
Answer:
There are always three ways to solve a system of equationsThere are three ways to solve systems of linear equations: substitution, elimination, and graphing. Let's review the steps for each method.Daniel want to know the volume of his cube, he notices that the cube has 1/5 centimeters side length, what is the volume of the cube?
Answer:
1/125 cm^3
Step-by-step explanation:
Volume of a cube = L^3
L is the side length of the cube
Given
L = 1/5 cm
Volume of the cube = (1/5)^3
Volume of the cube = 1/125
Hence the volume of the cube is 1/125 cm^3
If you toss five fair coins, in how many ways can you obtain at least one head?
Select one:
a. 15
О
b. 31
O
c. 16
d. 32
Answer:
31
Step-by-step explanation:
Plz mark brainliest :D
which is larger 4.5 or 9/2
Answer:
Both are equal
4.5 = 9/2
4.5 = 4.5
Hope it will help :)
Answer:
They are equal
Step-by-step explanation:
When we simplify 9/2 and divide, we get the answer 4.5, which is equal to 4.5. Therefore, neither number is larger and they are equal, just written in different ways.
I hope this helps!
WILL MARK BRAINLIEST!!!
PLEASE HELP!
Using the distributive property of multiplication over addition, we can factor as in xyx(xy).
Use the distributive property and other multiplication properties to factor each of the following expressions.
a. xy+y^2=
b. xy+x=
c. a^2b+ab^2
a. xy + [tex]y^{2}[/tex] = y ( x + y)
b. xy + x = x(y + 1)
c. [tex]a^{2b} + ab^{2}[/tex] = a ( [tex]a^{2b-1}[/tex] + [tex]b^{2}[/tex])