sec(θ) = 2
By definition of secant,
cos(θ) = 1/2
Solve for θ :
θ = arccos(1/2) + 2nπ or θ = -arccos(1/2) + 2nπ
(where n is any integer)
θ = π/3 + 2nπ or θ = -π/3 + 2nπ
We get two solutions in the interval 0 ≤ θ < 2π :
θ = π/3 or θ = 5π/3
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. Find the value of X
Answer:
x = 12.81
Step-by-step explanation:
Calculate the average speed of an airplane, in miles per hour, if it travels 1,000 miles in 2
2 1 2
hours.
The average speed of the airplane which travels the given distance and time is 400mph.
SpeedSpeed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.
It is expressed as;
s = distance / time = d / t
Given the data in the question;
Distance travelled d = 1000miTime taken t = 2 and 1/2 hrs = 2.5hrsAverage speed; s = ?To determine the average speed of the airplane, we substitute our given values into the expression above.
s = d / t
s = 1000mi / 2.5hrs
s = 400mph
Therefore, the average speed of the airplane which travels the given distance and time is 400mph.
Learn more about Speed and Velocity here: https://brainly.com/question/10566304
A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates C, x and y.
Answer:
Cy-Cx=10,000 this is the best answer ever
Bus A and Bus B leave the the bus depot at 2 pm.
Bus A takes 15 minutes to complete its route once and bus B takes 25 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
3:15 pm
Step-by-step explanation:
You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.
You went to a carnival. Each ride cost $2.50.
Let c represent the cost and n represent the
number of rides.
Please help me with my question
Answer:
[tex]\huge\color{Black}\boxed{\colorbox{pink}{Answer♡}}[/tex]
Given ,[tex]p(x) = ax {}^{3} + 8x {}^{2} + bx + 5 ...(1)[/tex]
Also According to Question ,on dividing polynomial p(x) by ( x + 2 ) , we obtain ( -25 ) as a remainder.
Therefore , putting the value of x as ( x = -2 )
[tex]p( - 2) = a( - 2) {}^{3} + 8( - 2)^{2} + b( -2) + 5[/tex]
[tex]p( - 2) = - 8a + 32 - 2b + 5 = - 25 \\ = > - 8a - 2b + 37 = - 25 \\ = > - (8a + 2b) = - (25 + 37) \\ cancelling \: negative \: sign \: at \: both \: sides \\ 8a + 2b = 52 \\ dividing \:both \: sides \: by \: 2 \\ 4a + b = 26...(2)[/tex]
also given that..
when the polynomial p(x) is divided by 2x-1 , it gives 0 as the remainder , i.e. , 2x-1 is a root of p(x)
putting value of x = 1/2 in equation (1)
[tex]p( \frac{1}{2} ) = a( \frac{1}{2}) {}^{3} + 8( \frac{1}{2} ) {}^{2} + b( \frac{1}{2} ) + 5 = 0 \\ = > \frac{a}{8} + \frac{8}{4} + \frac{b}{2} + 5 = 0 \\ = >taking \: LCM \\ = > \frac{a + 16 + 4b + 40}{8} = 0 \\ = > \frac{a + 4b + 56}{8} = 0 \\ = > a + 4b = - 56...(3)[/tex]
Now , we have equations (2) and (3) as...4a + b = 26... (2)
a + 4b = -56... (3)
multiply equation (2) by 4..16a + 4b = 104...(4)
Solving equations (3) and (4)a + 4b = -56
16a + 4b = 104
- - - ( bc signs are same )solving these equations we get,
-15a = -160
a = -160/-15
a = 32/3
putting value of a in (2) , we get...[tex]4a + b = 23 \\ 4( \frac{32}{3} ) + b = 23 \\ \frac{128}{3} + b = 23 \\ b = 23 - \frac{128}{3} \\ taking \: LCM \\ b = \frac{69 - 128}{3} \\ = > b = \frac{ -59}{3}[/tex]
hope helpful~
Convert 1 = 4 to polar form.
Answer:The inverse tangent of 14 is θ=14.03624346° θ = 14.03624346 ° . This is the result of the conversion to polar coordinates in (r,θ) form.
Step-by-step explanation: i think this may help you
three pounds of bananas cost $1.95. Which of the following is not true?
Answer:
put the examples on the test or assignment so i can answer it
A line passes through the points (-2, 9) and (1, 3).
Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.
Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
1) Find slope:
[tex]\frac{3-9}{1-(-2)}[/tex] = [tex]\frac{-6}{3}[/tex] = -2
-2 = slope
2) Find y intercept trough point slope and slope-intercept forms
y - y1 = m (x - x1)
y - 9 = -2 (x + 2)
y - 9 = -2x -4
+ 9 + 9
y = -2x + 5
y = mx + b with b being the y-intercept
5 = y-intercept
pleaseeee help me ………
Answer:
number 2
Step-by-step explanation:
Given this graph of the function f(x) a) b) c) d) please a need help
Answer:
a) 2
b) -2
c) -2
d) 1/2
Step-by-step explanation:
1) f(-4) means that x=-4 and you must locate the y value on the graph
2) f(2) means that x=2 and you must locate the y value on the graph
3) f(x)=4 means that y=4 and you must locate the x value on the graph
4) f(x)=-1 means that y=-1 and you must locate the x value on the graph
A square with side length s has perimeter 4s. Nellie painted on a square canvas that is 10.5
inches on each side.
What is the perimeter of the picture?
Write your answer as a whole number or decimal.
Answer:
42inches
Step-by-step explanation:
Perimeter = 4s
where s is length of each side
when s is 10.5
Perimeter = 4 × 10.5
= 42
find the slope of the line that passes through (3,1) (4,9)
Answer:
+8
Step-by-step explanation:
pls someone help me.
AB=EF
ABEF=ABF+AEF
NOW CONTINUES THE SOLUTION
HELP PLZZ!! ill give brainlist
Answer:
Step-by-step explanation:
The spinner should land on whatever color 25% of the time.
25% of 20 = 25/100 * 20 = 500/100 = 5
So the correct answer is the number of times the spinner lands on a color 5 times. Only white does that. All the other colors either go above 5 or below it.
Answer:
White
Step-by-step explanation:
to find the theoretical probability, you just divide the number of times you spin it, which is 20, by how many equal sides the spinner has which is 4.
So therefore you'll do:
20 ÷ 4 = 5
So since that is the same probability as white, the answer is white.
Can someone help me?
Answer:
d
Step-by-step explanation:
The graph of a line passes through the points (0, 8) and (4, 0). What is the equation of the line?
Answer: y = -2x + 8
Step-by-step explanation:
gradient = change in y/ change in x = 8/-4 = -2
y = -2x + c
substitute values in
8 = 0 + c
c = 8
y = -2x + 8
The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
How to find the equation of a lineThe line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b
m is the slopeb is the y-interceptFind the slopeSlope = -8/4
Slope = -2
Determine the y-intercept
Since the y-intercept is the point where the line cross the y-axis, hence b = 8.
FInd the required equation
y = -2x + 8
Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
Learn more on equation of a line here: https://brainly.com/question/18831322
2x²+3x-5=0 квадрані рівняння
Answer:
x = 1
x= -2.5
Step-by-step explanation:
we can use perfect square method quadratic method or solve it using a calculator directly
The radius of a circle is 6 inches. What is the length of a 135-degree arc?
In triangle ABC, if angle A + angle B = 5 angle C, find angle C
Answer:
30
Step-by-step explanation:
A + B = 5C
A + B + C = 180
since A + B is 5C we can rewrite with 5C
5C + C = 180
6C = 180
c = 30
When two parallel lines are intersected by a transversal, alternate exterior angles are?
1. Different
2. 180 degrees
3. 90 degrees
4. congruent
A money market account dropped to 5/8 its original value of $7.200. What is its current value?
A. 180
B. 450
C. 1,152
D. 4,500
E. 11,520
Answer:
Which claim most accurately describes the energy transformation taking place while he practices his guitar?
Sound energy is converted into elastic energy.
Kinetic energy is converted into thermal energy.
Mechanical energy is converted into sound energy.
Electrical energy is converted into mechanical energy.
Step-by-step explanation:
Answer:
C. 4,500
Step-by-step explanation:
Since we have 5/8 of the original 7200, we can multiply and divide.7200*5=3600036000÷8=4500Therefore, the answer is c, 4,500A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same direction at a rate of 54km/h. At what time will the van catch up with the truck?
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
Find out more on speed at: https://brainly.com/question/3004254
Answer:
The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
WILL GIVE THANK,BRAINLY,AND 5 STARS
The long sides of a rectangle measure 5 ft 6 in, and the short sides are 3 ft 4 in. What is the perimeter?
Answer:
I believe the answer is 17 ft and 8 inches
Step-by-step explanation:
correct me If im wrong
please help me with this
I don’t quite understand how to solve question 1-A.
Answer:
for every 1000 people, the maximum noise level goes up by 1.5
Describe how total job benefits and total employee compensation differ
Answer:
in my opinion they do not.
Step-by-step explanation:
Answer: Total compensation is everything the company provides an employee in exchange for working. It includes base salary, bonuses, benefits, perks and on-site amenities.Total compensation indicates that an employee is making two or three times his base salary.
-5 5/6 - ( -2 1/3 ) + 5 1/6
Bailey and Elena compete in a swim race. Their times are
shown below.
Round each time to the nearest whole second. Then estimate how
many seconds Bailey won the race by.
50-m Freestyle Results
Time
Swimmer
(seconds)
Bailey 35.78
DONE
Elena
39.51
11
Complete
&
ty
Answer:
3.7
Step-by-step explanation:
39.5 - 35.8 is 3.7
[tex]39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.[/tex]
if its any number from 5 and larger, you can round it up to a whole.
What is the equation please
Answer:
y = -2/5x - 2
Step-by-step explanation:
Answer:
y = 2/5x -2 or y = 0.4x -2
Explanation:
Step 1: Calculating Slope (m).
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{0-(-2)}{5-0}[/tex]
m = [tex]\frac{2}{5}[/tex]
m = 0.4
Now putting value of m in equation (i)
y = 0.4x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (0,-2) for calculating y-intercept:
y = mx + b
-2 = 0.4(0) + b
-2 = 0 + b
-2 = b
b = -2
Now put the value of b in equation (ii)
y = 0.4x + -2