Part A
The given angle is 4pi/3. Multiply it by the factor 180/pi to convert from radians to degree mode.
Note how the given angle has pi in the numerator, while the conversion factor has pi in the denominator. The two pi terms will cancel.
(4pi/3)*(180/pi)
(4/3)*(180/1)
(4*180)/(3*1)
720/3
240
The angle 4pi/3 radians is equivalent to 240 degrees. This 240 degree angle is in quadrant 3. Any angle in this quadrant is between 180 degrees and 270 degrees, excluding both endpoints. This is the bottom left quadrant, aka the southwest quadrant.
Answer: Quadrant 3===========================================================
Part B
To find the reference angle, we'll subtract off pi. This only works for angles in quadrant 3. This is because the first pi radians, aka 180 degrees, is taken up by the first two upper quadrants. The remaining bit in the third quadrant is all we care about to find the reference angle.
reference angle = (given angle in quadrant 3) - pi
reference angle = (4pi/3) - pi
reference angle = (4pi/3) - (3pi/3)
reference angle = (4pi - 3pi)/3
reference angle = pi/3
Answer: pi/3 radians===========================================================
Part C
Use a calculator or a reference table to find that
tan(4pi/3) = tan(pi/3) = sqrt(3)
Alternatively, you can compute the sine and cosine values first
sin(pi/3) = sqrt(3)/2cos(pi/3) = 1/2Dividing the two items in the order mentioned will get us the tangent value
tan = sin/cos
tan(pi/3) = sin(pi/3) divide cos(pi/3)
tan(pi/3) = sqrt(3)/2 divide 1/2
tan(pi/3) = sqrt(3)
In the jump from the second to last step, to the last step, the denominators '2' cancel out when dividing.
Answer: sqrt(3)¿Qué fuerza media se requiere para que un objeto de 2 Kg aumente su velocidad de 5 m/s a 12 m/s en una distancia de 8 m?
Answer:
14.87
Step-by-step explanation:
Para conocer cual es la fuerza que necesita el cuerpo para aumentar su velocidad de 5 m/s a 12 m/s en 8 m
Necesitamos conocer la aceleración y para conocer la aceleración debemos saber cuanto tiempo tarda en recorrer los 8m
Vf = Vo +a(t)
12 = 5 +a(t) -------> Vamos a despejar el tiempo.
t = 7/a
X= Vo(t) +1/2a(t²)
X= 5(7/a)+1/2a( 7/a )²
8 = 35/a+49/2a
a = 7.43 m/s²
Ahora que conocemos la aceleración podemos calcular la fuerza como:
F = m*a
F = 7.43 * 2 kg.
F = 14.87
help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,
Answer:
35
Step-by-step explanation:
if not correct I'm very very sorry I tried my best for this</3
A person needs to fill 10 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes. How long to finish filling the remaining jugs?
Answer:
15
Step-by-step explanation:
Find the measure of
Answer:
∠ A = 43°
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent, so
∠ B = ∠ T = 55°
The sum of the 3 angles in a triangle = 180°
sum the 3 angles in Δ ABC and equate to 180
2x - 9 + 3x + 4 + 55 = 180 , that is
5x + 50 = 180 ( subtract 50 from both sides )
5x = 130 ( divide both sides by 5 )
x = 26
Then
∠ A = 2x - 9 = 2(26) - 9 = 52 - 9 = 43°
At a sale this week, a desk is being sold for $285.60. This is 34% of the original price.
What is the original price?
well, let's say the original price is "x", which namely 100% of the price of the product, we also know that 285.60 is 34% of that.
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 285.60&34 \end{array}\implies \cfrac{x}{285.60}=\cfrac{100}{34}\implies \cfrac{x}{285.60}=\cfrac{50}{17} \\\\\\ 17x=14280\implies x = \cfrac{14280}{17}\implies x = 840[/tex]
Write the expression 4^4(4^-7)(4) using a single exponent
[tex]4^4(4^7)4\implies 4^4\cdot 4^7\cdot 4^1\implies 4^{4+7+1}\implies 4^{12}[/tex]
Answer:
real answer 4^-2
Step-by-step explanation:
just did on edge
x + 6 - 6x + 10
integers
Answer:
-5x + 16
Step-by-step explanation:
I didn't see a equal sign so I assume that x cannot be x = -5/16
So I combined like terms of x and -6x to get -5x as well as +6 and +10 to get 16.
To get my final answer as -5x + 16.
A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?
A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______
(Make sure you use the correct variable.)
B) Use your equation to find the dimensions of the field.
The width of the field is ____________ feet.
The length of the field is ____________ feet.
ATQ
[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]
[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]
[tex]\\ \tt\longmapsto 7x=595[/tex]
[tex]\\ \tt\longmapsto x=595/7[/tex]
[tex]\\ \tt\longmapsto x=85[/tex]
Length=6(85)=510ftWidth=85ftWhat is the numerical answer?
length = inches
Answer:
31.5 inches
Step-by-step explanation:
If 2 centimeters is 9 inches, then 1 centimeter is 4.5 inches. Then, just multiply by 7.
A water tank is 50cm by 30cm by 20cm. If 1 litre of water costs 300 taka, what is the total cost to fill up the tank with water?
Answer:
Step-by-step explanation:
The volume of the tank= (50x30X20) cm^3
= 30000cm^3
= 30 l
1 l costs 300 tk
therefore 30 l costs= 30X300 taka
= 90000 taka
For a particular event, 808 tickets were sold for a total of $3110. If students paid $3 per ticket and no student paid $5 per ticket. How many students tickets were sold?
find the point (x,y) on the curve where dy/dx = 0
a. By the chain rule,
[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx} = \dfrac{dy}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]
Given that [tex]y=e^t+e^{-t}[/tex] and [tex]x=e^{-t}[/tex], we have the derivatives
[tex]\dfrac{dy}{dt} = e^t -e^{-t}[/tex]
[tex]\dfrac{dx}{dt} = -e^{-t}[/tex]
and so
[tex]\dfrac{dy}{dx} = \dfrac{e^t - e^{-t}}{-e^{-t}} = 1-e^{2t}[/tex]
Set this equal to zero and solve for t :
[tex]1-e^{2t} = 0[/tex]
[tex]1 = e^{2t}[/tex]
[tex]\ln(1) = \ln\left(e^{2t}\right)[/tex]
[tex]0 = 2t \ln(e)[/tex]
[tex]0 = 2t[/tex]
[tex]t=0[/tex]
This value of t corresponds to x = e⁰ = 1 and y = e⁰ - 1/e⁰ = 1 - 1 = 0. So the only point on the curve where the derivative dy/dx is zero is (1, 0).
b. Compute the second derivative. Since dy/dx is a function of t, we'll momentarily replace it with f(t). By the chain rule,
[tex]\dfrac{d^2}{dx^2} = \dfrac d{dx} \dfrac{dy}{dx} = \dfrac{df}{dx} = \dfrac{df}{dt}\cdot\dfrac{dt}{dx} = \dfrac{df}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]
We have
[tex]\dfrac{df}{dt} = -2e^{2t}[/tex]
and we've already committed dx/dt. So
[tex]\dfrac{d^2}{dx^2} = \dfrac{-2e^{2t}}{-e^{-t}} = 2e^{3t} [/tex]
Substitute the first and second derivative into the differential equation:
[tex]\left(\dfrac{d^2y}{dx^2}\right)^2 + \dfrac{dy}{dx} - 1 = 0[/tex]
[tex]\left(2e^{3t}\right)^2 + (1-e^{2t}) - 1 = 0[/tex]
[tex]4e^{6t} -e^{2t}= 0[/tex]
[tex]e^{2t} (4e^{4t} - 1) = 0[/tex]
[tex]4e^{4t} - 1 = 0[/tex]
[tex]4e^{4t} = 1[/tex]
[tex]e^{4t} = \dfrac14[/tex]
[tex]\ln\left(e^{4t}\right) = \ln\left( \dfrac14\right)[/tex]
[tex]4t \ln(e) = -\ln(4)[/tex]
[tex]4t = -\ln(4)[/tex]
[tex]t = -\dfrac{\ln(4)}4[/tex]
HELP PLSSSSSSSSSSSSSS
Answer:
120
Step-by-step explanation:
Answer:
x=17.7
Step-by-step explanation:
Pythagorean theory
a²+b²=c²
16²+7.5²=c²
256+56.25=c²
√312.25=√c²
c=17.7
For each value of v, determine whether it is a solution to 59 = 3 - 7v.
Answer:
[tex]59=3-7v[/tex]
Subtract 3 from both sides:
[tex]59-3=3-7v-3[/tex]
[tex]56=-7v[/tex]
[tex]-7v=56[/tex]
[tex]v=-8[/tex]
-8 is the only solution.
Answer:
well I think it's -6
Step-by-step explanation:
7×-6=-42+3=39
What is the y intercept of y= 3x + n
Answer:
Step-by-step explanation:
1
Which statement is true?
what is 2x-3 when x=1
whats the answer can someone answer please
Answer:
both are c
Step-by-step explanation:
HELP!!!! What are the domain and range of the exponential growth function
a . Domain x>-3; Range: All real numbers.
b . Domain: All real numbers; Range: All real numbers.
c . Domain: x>-3; Range: y> -3
d . Domain: All real numbers; Range: y>-3
Step-by-step explanation:
D is the right answer.
remember, the domain is the interval or set of all valid values of x (the input variable). that means the values from left to right. there is no limitation visible. especially not around x = -3.
the range is the interval or set of valid values of y (the result variable). that means the values from bottom to top. and here we see, that the function never goes below y=-3.
these 2 facts make D the right answer.
y + y + y + y + ytytyty
Collect like terms
Graph the linear equation. X = - 4y
which could be the function graphed below ??
Answer:
D [tex]\sqrt{x+4}[/tex]
Step-by-step explanation:
1/2(-4+6x)=1/3x+2/3(x+9)
Answer:
X=4
Step-by-step explanation:
1. Simplify the expression
2. Multiply the fractions:
3. Break up the fraction:
4. Find the greatest common factor of the numerator and denominator:
5. Factor out and cancel the greatest common factor:
6. Simplify the fraction:
7. Multiply the fractions:
8.Solve by distributing:
9. Simplify the arithmetic:
10.Break up the fraction:
11. Find the greatest common factor of the numerator and denominator:
12. Factor out and cancel the greatest common factor:
13.Combine the fractions:
14. Combine the numerators
15. Find the greatest common factor of the numerator and denominator:
16. Factor out and cancel the greatest common factor:
17. Simplify the right side:
How many hours in a day?
Answer:24 hours are in a day
if there is a 1 4 chance that it will rain for your fourth of july brbeque what is the probability it wont rain
Answer:
86% chance
Step-by-step explanation:
there is an 86% chance it won't rain because 100%-14%=86%
True or false. The only coefficients in the equation
O True
O False
Solve for x given that
4x + 2
7
Answer:
x = - 1/2 or -0.5
Step-by-step explanation:
Steps on the pic above
What is the rectangular form of theta = 3pi/4?
Please answer this question if you 100% know this answer.
a. x - y = 0
b. x - y = 1
c. x + y = 0
d. x + y = 1
The answer was not a.
Answer:
c. x + y = 0
Step-by-step explanation:
The terminal ray of the angle θ = 3π/4 extends to the upper left through the 2nd quadrant with a slope of -1. It lies on the line ...
y = -x
x + y = 0 . . . . . . add x to get this standard form equation
The work of a student to solve the equation 3(2x - 4) = 8 + 2x + 6
Answer:
false
Step-by-step explanation:
3(2×−4)=8+2×+6
Multiply 3 and 2 to get 6.
6(−4)=8+2×6
Multiply 6 and −4 to get −24.
−24=8+2×6
Multiply 2 and 6 to get 12.
−24=8+12
Add 8 and 12 to get 20.
−24=20
Compare −24 and 20.
A refreshment stand makes 5 large servings of frozen yogurt from 8 pints. Graph the line and then write
its equation. Let the x-axis represent the number of pints and the y-axis represent the number of
servings. Use only fractional form, if necessary.
Answer:
x= (8/5)
Step-by-step explanation:
x= 8÷5
evaluate the equation/expression
x=1.6
then convert to a fraction x= BasePoly 1.6 → 16/10 →8/5
Answer:
Pls help me I think its 5/8
Step-by-step explanation: