If sin theta = -(sqrt(3))/2 and pi < =theta <= (3pi)/2, determine the value of cos(20)
Answer:
Sin theta = -1/2
Step-by-step explanation:
pi < =theta <= (3pi)/2.
The above expression shows we are dealing with angle on the 3rd quadrant.
I.e greater than 180 but less than 270.
So sin tita = (√3)/2
But sin and cos are all negative in the third quadrant.
So tita = sin^-1(√3)/2
tita = 60°
Cos tita = cos 60
Cos tita = cos 60
Cos60 = 0.5
Cos 60 = 1/2
If
sin theta = -(sqrt(3))/2
Sin theta = -1/2
PLEASE HELP!!!
Given the function f(x)=(x+1)(x-3)
a) What are the x-intercepts?
b)What is the axis of symmetry?
c)What is the vertex?
Answer:
a) (-1,0) and (3,0)
b) x=1
c) (1, -4)
Step-by-step explanation:
As you can see in the graph below, the x intercepts of this graph are at (-1,0) and (3,0), the axis of symmetry is x=1, and the vertex is at (1,-4). Hope this helps!
What is a net and how can you use it to help you find the surface area of a 3-Dimensional figure?
84 points for brainliest!
Answer:Surface Area of a Solid
The surface area of a 3-dimensional object is the measure of the total area of all its faces. This means that one way to find the surface area of a solid is to find the area of its net. The surface area of a rectangular prism is the area of the six rectangles that cover it.
Step-by-step explanation:
Steve built a square hamster pen that has a perimeter of 240 centimeters What is the length of one side of Steve’s hamster pen?
Answer:
60
Step-by-step explanation:
since its a square, and has four sides then you would divide total length by four to find the length of each side
For each pair of functions and below, find and .
Then, determine whether and are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all in the domain of the composition.
You do not have to indicate the domain.)
f(x)=3/x,x=/= 0
g(x)=3/x, x=/=0
f(g(x))=
g(f(x))=
f and g are inverses of each other
f and g are not inverses of each other
f(x)=x+4
g(x)=-x+4
f(g(x))=
g(f(x))=
f and g are inverses of each other
f and g are not inverses of each other
Answer:
1- Inverses .
2 - Not inverses.
Step-by-step explanation:
Notice that
1 -
[tex]f(g(x))= 3/(3/x) = (3x)/3 = x[/tex]
Since their composition is the identity, then they are inverses.
2 -
[tex]f(g(x)) = ((-x+4)+4) = -x+8[/tex]
Since their composition is not the identity, then they are not inverses.
Express the sum in the simplest form. x/x+5 + 5/x+5
Answer:
11x+5/x
Step-by-step explanation:
please its urgent!!!
Step-by-step explanation:
[tex]-1 + (-9w^2)-7w+7w^2[/tex]
Combine like terms.
[tex]-9w^2 + 7w^2-7w-1[/tex]
[tex]-2w^2-7w-1[/tex]
Consider the equation
3 (4x – 2) + 6 = 5 (2x – 8) + 2
>
(Solve for x first!!)
Below are two truths and one lie:
>
1. x is a negative number
2. 3x>2x
3. x+5>x
Answer:
-19
Step-by-step explanation:
12x - 6 + 6 = 10x - 40 + 2
12x - 10x = -40 + 2 + 6 -6
2x = -38
x = -38/2 = -19
The two truths are:
x is a negative number (x = -19)
x+5>x (if x is positive, is true; if x is negative, is also true)
The one lie is:
3x > 2x (if x is negative, the expression will be 3x < 2x)
If you get 17 out of 20 questions correct on your next test, what percent of the test you answer incorrectly?
Answer: 85%
Step-by-step explanation:
You can use proportions to solve this answer.
17/20=x/100
Solve for X
17(100)/20=x
85=x
Answer:
15% incorrect
Step-by-step explanation:
17/20 = x/100
17 ×5= 85
20×5 = 100
85/100 correct
15/100 incorrect
Which points can be used in the diagram as the third vertex to create a right triangle with hypotenuse XY? Select all that apply. (-4, -2) (-2, 1) (-2,-2) (2, 4) (3, 4)
Answer:
(-2,-2) and (3,4)
Step-by-step explanation:
Edge 2020
Answer:
the other person is right -2, -2 and 3, 4
Step-by-step explanation:
I had to do this
Find an equation equivalent to r = 10 sinθ in rectangular coordinates
Answer:
[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]
Step-by-step explanation:
The following expressions are used to transform from polar into rectangular form:
[tex]r = \sqrt{x^{2}+y^{2}}[/tex]
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]
Now, the variables are substituted and equation is finally simplified:
[tex]\sqrt{x^{2}+y^{2}} = 10\cdot \frac{y}{\sqrt{x^{2}+y^{2}} }[/tex]
[tex]x^{2}+y^{2} = 10\cdot y[/tex]
The equivalent equation in rectangular coordinates is:
[tex]x^{2} + y^{2} - 10\cdot y = 0[/tex]
A triangle has a base 5 cm and a height of 8 cm what is the area of the triangle
Answer:
20 cm
Step-by-step explanation:
Area of a triangle is base x height/2, so in this case its 5x8/2 which is 40/2 therefor making the answer 20
What’s the correct answer for this?
Answer:
The lines have proportional slopeStep-by-step explanation:
because , they determined as slope !
hope it helpful !
mark as brainliest
Answer:
B
Step-by-step explanation:
The lines have equal slopes
-6/3= -2
And
-8/4 = -2 so both slopes are equal hence the lines are parallel
The pyramid shown is cut into two pieces by slicing vertically from point P to the square base TVWX. This cuts the square base into two equal-sized rectangles. Which describes the cross-section of the square pyramid with this cut?
Answer:
hty
Step-by-step explanation:
Answer:
a triangle
Step-by-step explanation:
if you cut the shape in half, it would be a triangle but at an angle.
hope this helps!
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
K
R
A. ZIKR and AKP
B. AKP and ZPKI
C. AKC and TKI
D. ZAKT and PKC
The correct pairs of angles in the figure which are vertical angles is,
⇒ ∠AKC and ∠TKI
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
To find correct pairs of angles in the figure which are vertical angles.
Now, By definition of vertical opposite angle,
We get;
The correct pairs of angles in the figure which are vertical angles is,
⇒ ∠AKC and ∠TKI
Thus, The correct pairs of angles in the figure which are vertical angles is,
⇒ ∠AKC and ∠TKI
Learn more about the angle visit:;
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75 - 4 × (4 - 2)3
AHHH HELP!
Answer:
75−4(4−2)^3
=43
Express 72 as a product of its prime factors
Answer:
okay
Step-by-step explanation:
2^3 times 3^2
Answer:
2^3*9
Step-by-step explanation:
72-9
8-2
4-2
2-2
1
Bicycles are often classified by wheel diameter. A common diameter is 26 inches. What is the circumference of this bicycle tire? Round to the nearest tenth.
Answer:
81.7 inches
Circumference = πd. where d is the diameter
22/7 * 26 = 81.7 inches
Which algebraic expression is a polynomial with a degree of 2?
4x3 - 2x
10x2 - VX
8x3+3+3
6x2 - 6x + 5
Answer:
B and D
Step-by-step explanation:
10x^2 -vx [ has the highest power of X as 2 , so it is to degree 2].
6x^2 - 6x + 5[ has the highest power of x as 2; hence it is to degree 2]
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. [tex]F(x) = -x^2 - 3[/tex]
Step-by-step explanation:
The function, F(x), has flipped over the x-axis (as seen) meaning that the function has to have a negative sign in front. The function has also shifted downwards 3 units, meaning that 3 has to have been subtracted from the function.
This makes "C," the correct answer, as it fulfills these requirements.
The sum of two numbers is 27. One of the numbers is three more than the other. Find the numbers. A) 20 and 7 B) 12 and 15 C) 13 and 14 D) -12 and -15
Answer:
A
Step-by-step explanation:
Simplify 8X +7 - 2X -4
Answer:
6x + 3
Step-by-step explanation:
8x - 2x + 7 -4
Look at the attached picture
Hope it will be helpful to you..
Have a great day..
(◍•ᴗ•◍)
write in the simplest form 15:45
Answer:
1:3
Step-by-step explanation:
:))
1:3
15 / 15 = 1
45 / 15 = 3
So its 1:3
Please help me!!!!!!!
Answer:
Is A I think
Step-by-step explanation:
I hope this was helpful I did it on my book :)
A cylinder has a base diameter of 20 centimeters and a height of 14 centimeters.
What is its volume in cubic centimeters, to the nearest tenths place?
Answer: 4,588.4 cubic centimeters.
Step-by-step explanation: 20 centimeters ⋅ 14 centimeters = 280 centimeters = 4588.38 cubic centimeters = 4,588.4 cubic centimeters.
Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite.
To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below).
The area of the school is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
The area of the museum is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
Who should win the debate?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Sammy
(Choice B)
B
Marci
Answer:
2000 m²2827 m²B. MarciStep-by-step explanation:
It is convenient to compute the areas in terms of grid squares. Then those results can be converted to square meters by multiplying by the area of a grid square: (10 m)² = 100 m².
(a) The area of the school is the product of its side dimensions. The short side is (in terms of grid squares) ...
W = √(1²+3²) = √10
The long side is ...
L = √(2²+6²) = √40
Then the area is ...
A = LW = (√40)(√10) = √400 = 20
The area of the school is 20 grid squares = 2000 m² . . . . . where s = 10 m
__
(b) The area of the museum is given by the formula ...
A = πr² = π(3)² = 9π grid squares = 2827 m²
The area of the museum is 2827 m².
__
(c) Marci says the museum has a larger area than the school. She is correct.
Marci should win the debate.
Which of these is another way to write the function f(x) = 5*
Answer:
May you kindly provide us with a selection of choices? Thank you ! :)
Step-by-step explanation:
Imagine we wanted to investigate whether the reason for quitting smoking affects success rate. We recruited a sample of 120 smokers. Half wanted to quit to improve their appearance (yellow teeth and bad breath, etc) and half wanted to quit to improve their health (life expectancy, etc). After six months we measured how successful they had been at quitting smoking. The data were skewed, so we ran a Mann-Whitney test on the data (output below)
a) People who wanted to quit smoking to improve their appearance (M= 66.91) were significantly more successful at quitting than those who wanted to quit to improve their health (M= 54.09), U = -2.04, z = 188.57, p = .04
b) People who wanted to quit smoking to improve their appearance did not significantly differ from those who wanted to quit to improve their health, U = 1415.50, z = -2.04, p = .04
c) People who wanted to quit smoking to improve their health were significantly more successful at quitting than those who wanted to quit to improve their appearance, U = 1415.50, z = -2.04, p = .04
d) People who wanted to quit smoking to improve their appearance were significantly more successful at quitting than those who wanted to quit to improve their health,, U = 1415.50, z = -2.04, p = .04.
Answer:
I think is C
Step-by-step explanation:
Question
A gymnast, who can stretch her arms up to reach 6 feet, jumps straight up on a trampoline. The height of
her feet above the trampoline can be modeled by the equation h =-16x2 + 12x, where x is the time in
seconds after her jump.
Do the gymnast's hands reach a height of 11 feet above the trampoline? Use the discriminant to explain.
(Hint: Since h = height of feet, you must use the difference between the heights of the hands and feet.)
The value of the discriminant is
The discriminant is a (select) number. So, there
(select) real solutions for this height. The gymnast hands (select) reach a height of 11 feet.
Answer:
The discriminant of the equation is less than zero. The gymnast's hands do not reach a height of 11 feet
Step-by-step explanation:
The gymnast's hands does not reach a height of 11 feet above the trampoline.
What is Quadratic Equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is a[tex]x^{2}[/tex] + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
It is given that ,
h= [tex]-16x^{2} +12x[/tex]
11-6= [tex]-16x^{2} +12x[/tex]
5 = [tex]-16x^{2} +12x[/tex]
[tex]-16x^{2} +12x[/tex] -5=0
Comparing the above equation with the standard form of quadratic equation [tex]ax^{2} +bx+c=0\\[/tex]
we get ; a=-16, b=12, c=-5
Using Discriminant method
D= [tex]\sqrt[]{b^{2} - 4*a*c}[/tex]
= [tex]\sqrt[]{(12)^{2} - 4* (-16)*(-5)}[/tex]
= [tex]\sqrt[]{144-320}[/tex]
= [tex]\sqrt[]{-176}[/tex]
Hence D<0, which means there is no real value.
So, the gymnast's hands does not reach a height of 11 feet above the trampoline.
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Which is equivalent to cos^-1(.17) round your answer to the nearest hundredth of a radian
Answer:
cos^-1(.17) is 1.40 in radian
Step-by-step explanation:
Given cos^-1(.17), the equivalent is 80.212
This is approximately 80.21°
Which is 1.40 in radian