The cosine of the angle formed by the line whose equation is y=2x and the positive x axis cos =63.435 to the nearest thousandth
What is meant by angle?When two straight lines or rays intersect at a common endpoint, an angle is formed. An angle's vertex is the common point of contact. The term angle is derived from the Latin word angulus, which means "corner." An angle is the difference in direction between two lines or surfaces. Angles are expressed in degrees.From a common point, the two hands draw different sets of lines. Angle refers to these groups of lines that originate from a common point. Every minute, the two hands form different angles. In real life, an example of an angle is a clock.To learn more about angle, refer to:
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Final answer:
To find the cosine of the angle formed by the line y=2x and the positive x-axis, we calculate the arctangent of the slope (2), which gives us an angle of approximately 63.435 degrees. The cosine of this angle is then approximately 0.447 to the nearest thousandth.
Explanation:
The question is asking for the cosine of the angle formed between the line y = 2x and the positive x-axis. To find this, we first need to determine the angle that the line makes with the x-axis. The slope of the line, given by m, is 2, which also represents the tangent of the angle the line forms with the x-axis (tan(θ) = m). We can calculate the angle using the arctangent function (tan⁻¹).
θ = tan⁻¹(2) = Approx. 63.435 degrees
The cosine of this angle can be found using the cosine function:
cos(θ) = cos(63.435 degrees) = Approx. 0.447
To the nearest thousandth, the cosine of the angle is 0.447.
A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total was $115. Which equation can be used to find the charge x, in dollars, per mile traveled?
A)40x+15=115
B)40+15x=115
C)40x+15x=115
D)40+15=115x
Answer: The equation you will use would be 40x + 15x =115. you're welcome.
I Need Some Help!!!!!!!!!
Answer:
median = 50
difference in the quartiles = 45
Step-by-step explanation:
The median amount is the line in the middle of the box
The median is 50
The difference between the upper quartile and the lower quartile is the difference between the right end of the box and the left end of the box
65-20 = 45
Use the graph of the function f to determine f(x)
Answer: option a.
Step-by-step explanation:
The [tex]\lim_{x \to a} f(x)[/tex] give us information about the behavior of the function when the variable x gets closer to the value a. In other words, it tells us to what value y gets closer when x gets closer to the value a.
In this case we are evaluating the limits when:
[tex]{x \to -3}[/tex]
[tex]{x \to 0}[/tex]
[tex]{x \to 2}[/tex]
of the function shown in the graph.
As you can observe in the graph, when:
[tex]{x \to -3}[/tex] , [tex]y=3[/tex]
[tex]{x \to 0}[/tex] , [tex]y=0[/tex]
[tex]{x \to 2}[/tex] , [tex]y=-2[/tex]
Describe the pattern below. Write another pattern that has the same fourth value. Describe your pattern 0.41,0.82,1.64,3.28
Answer:
times 2
Step-by-step explanation:
0.41*2=0.82
0.82*2=1.64
divide by 2...pattern is 3.28,1.64,0.82,0.41
Another pattern with the same fourth term is one where to get the next term in the sequence we multiply the previous one by -2, and the first term is -0.41,
Analyzing the given pattern.
We have the pattern:
0.41, 0.82, 1.64, 3.28
Is ratter easy to see that it is a geometric sequence, such that each term is twice the previous term:
0.82 = 2*0.411.64 = 2*0.813.28 = 2*1.64Now we just want to make another pattern that has the same fourth term, so we can play with the given pattern.
Suppose we start with -0.41, and instead of by 2, we multiply each time by -2, then we get:
a₁ = -0.41a₂ = (-2)*(-0.41) =0.82a₃ = (-2)*(0.82) = -1.64a₄ = (-2)*(-1.64) = 3.28And so on, so we just found another pattern that has the same fourth term, but behaves differently.
If you want to learn more about sequences, you can read:
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The gravitational force on the earth is six times greater than on the moon. This means objects weigh six times as much on earth as they do on the moon. Write an algebraic expression for the weight of an object on earth if its weight on the moon is m.
Answer:
y=6x
Step-by-step explanation:
let y be the weight of an object on the earth
let x be the weight of the same object on the moon
Since the weight of an object on earth is 6 times greater than the same thing on the moon, You must multiply the weight of something on the moon by six.
Hope this helped!
Final answer:
The algebraic expression for the weight of an object on Earth given its weight on the Moon, denoted as 'm', is 'W = 6m', where 'W' represents its weight on Earth.
Explanation:
The question is asking us to find an algebraic expression for the weight of an object on Earth given its weight on the Moon.
We know that the gravitational force on Earth is six times greater than on the Moon, which means objects weigh six times more on Earth than on the Moon.
If the weight of an object on the Moon is given as m, then the weight of the same object on Earth, W, would be W = 6m.
Write the ratio 2/4 as a percent.
Answer:
50%
Step-by-step explanation:
2/4 = (2/4)×(25/25) = 50/100 = 50%
PLZ ANSWER RIGHT, POINTS 99!!
Select the correct answer from each drop-down menu.
Consider the following equation.
[tex]0 = x^{2} - 10x - 27[/tex]
Complete each statement about the solutions to the equation.
The negative solution is between (Q1)__ and (Q2)__.
Q1.) A. -13
B. -3
C. -2
D. -12
Q2) A. -1
B. -11
C. -12
D. -2
________________________________________________
The positive solution is between (Q3)__ and (Q4)__.
Q3.) A. 11
B. 1
C. 2
D. 12
Q4.) A. 13
B. 3
C. 12
D. 2
Using the quadratic formula -b +/-√b^2-4(ac) / 2a solve for x:
10 +/-√(-10)^2 -4(1*27) / 2*1
x = 5 +/-2√13
x = -2.21
or x = 12.21
The negative solution is between -2 and -3.
The positive solution is between 12 and 13.
If AC=12, BC=3, find CE
1) 3 square root of 3
2) 6
3) 18
Answer:
2) 6
Step-by-step explanation:
CE^2 = BC * AC
CE^2 = 3 * 12
CE^2 = 36
CE = 6
Charlotte has a 222 page book. She has read 1/2 of of it. How many pages does she have left to read?
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
Hello!
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
❖ She has 111 pages left.
222/2 = 111
222 - 111 = 111
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~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
222/2=111 111x2=222
A computer rounded the number 129.257 to the nearest hundredth what is this number rounded to the nearest hundredth
Answer:
it is 129.3 you just round
Bryson makes an annual salary of $42,000 a year. Apply the rule of housing to determine his monthly housing budget.
A. $420
B. $600
C. $875
D. $1,025
Answer:
C. $875
Step-by-step explanation:
The rule of housing is the rule of thumb of not using more than 25% of your gross income. This means that the households supposed limited expenses on housing would be a maximum of 25% only.
So to find the monthly housing budget of Bryson, we simply take his annual salary and multiply it by 25% or 0.25 and then divide the product by 12.
Monthly Housing Budget = ($42,000 * 0.25)/12
Monthly Housing Budget = 10500/12
Monthly Housing Budget = $875
Answer: C. $875
Step-by-step explanation:
CUZ IT IS.... hope all of you guys become successful.
math 23 points help please asap
The answer is A because the rest of them for any given x you get 2 or more values of y
Jacob's daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best represents how much money he makes in daily tips?
Answer:
no
Step-by-step explanation:
median only shows the amount in the very middle. to represent how much money he makes in daily tips, he needs to find the mean (the average).
Answer:
Little close
Step-by-step explanation:
In statistics, when we have a list of entries to be analyzed we have few figures for observation. These are
Mean , median and mode.
Mean gives the average of all the entries. By average means.
Median gives you the middle most entry.
And mode gives the entry repeated the most.
As by definition we see that , median will give us approximation regarding daily data, hence jacob must consider the median to best represent the money he makes on daily basis.
What is the distance between (6, 2) and (6, -5)? A.-7 units B.3 units C.7 units D.11 units
Hey there! The correct option is A. -7 units (see photo for more info)
You can see in the photo I provided that there are 7 spaces in between (6, 2) & (6, -5) & since -5 is negative, the number of units in be will be negative.
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
Karleigh walks 5/8 mile to school every day . How far does she walk to school in 5 days
Hello, thanks for using Brainly!
First, our equation is: [tex]5/8[/tex] x [tex]5 = 25/8.[/tex]
Our first step is to simplify.
When you simplify you get 3 1/8.
This is another way you can get it: (Multiply across. )
[tex]Number[/tex] [tex]of[/tex] [tex]the[/tex] [tex]miles = \frac{5}{8}[/tex] [tex]5 = \frac{25}{8} = 3\frac{1}{8}[/tex]
Enjoy your day.
Bill is saving for his son's college education. If the savings account earns 5% interest compounded monthly, and he wants to have $45,000 in 10 years, what must the principal be?
Answer:
$27,322.25
Step-by-step explanation:
Final answer:
To find the principal, you can use the formula for compound interest. The principal should be approximately $30,157.40.
Explanation:
To find the principal, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the future value of the investment (which in this case is $45,000)
P is the principal
r is the annual interest rate (which is 5% or 0.05)
n is the number of times interest is compounded per year (monthly compounding means n = 12)
t is the number of years
Using the given values, we have:
45000 = P(1 + 0.05/12)^(12*10)
Solving for P:
P = 45000 / (1 + 0.05/12)^(12*10)
P = 45000 / (1.00416667)^(120)
P ≈ 30157.40
Therefore, Bill must have a principal of approximately $30,157.40.
The perimeter of a triangle is given by the formula P = a + b + c. Solved for b, this formula becomes b =
Answer: B) P-a-c.
Step-by-step explanation:
The value of b is P - a - c.
Given,
The perimeter of a triangle is given by the formula P = a + b + c.
We need to solve for b.
What is the perimeter of a triangle?The total length of all three sides of a triangle is called the perimeter of the triangle.
It is given by:
P = a + b + c
Where a,b, and c are the sides of the triangle.
We have,
P = a + b + c
Subtracting a on both sides
P - a = a + b + c - a
P - a = b + c
Subtracting c on both sides
P - a - c = b + c - c
P - a - c = b
We get,
b = P - a - c
Thus the value of b is P - a - c.
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The perimeter of a triangle is 76 cm. Side a of the triangle is twice as long as side b. Side c is 1 cm longer than side a. Find the length of each side.
Let side B = X
Then side A = 2x
Side C = 2x +1
Mow you have x + 2x + 2x+1 = 76
Simplify:
5x +1 = 76
Subtract 1 from both sides:
5x = 75
divide both sides by 5:
x = 75 /5
x = 15
Side A = 2x = 2*15 = 30 cm
Side B = x = 15 cm
Side C = 2x +1 = 2*15 +1 = 30+1 = 31 cm
It’s right angle trig
WILL MARK BRAINLIEST!!!
c = 17.78
b = 12.12
............
Answer:
b = 12.1
c = 17.8
Step-by-step explanation:
First, we can solve for c by using sine: sin(47) = 13/c -> c = 13/sin(47) = 17.8 rounded to the nearest 10th.
Then, we can solve for b by using tangent: tan(47) = 13/b -> b = 13/tan(47) = 12.1 rounded to the nearest 10th.
I hope this helped you.
Evaluate the logarithm in e^2 (Picture provided)
Answer: option d
Step-by-step explanation:
By definition, you know that:
[tex]log_a(a^n)=n[/tex]
Where: a is the base of the logarithm.
You also know that the base of [tex]ln[/tex] is the Euler's number, which is "[tex]e[/tex]".
Therefore, when you apply the property shown above, you obtain the following:
[tex]ln(e^2)=log_e(e^2)\\ln(e^2)=2[/tex]
Then, you can conclude that the answer is the shown in the option d.
Answer:
d edge
Step-by-step explanation:
The function y = x 2 – 4x + 8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence post to another. All distances are in feet. Complete the square to find and interpret the extreme value (vertex). Select two answers: one extreme value and one interpretation
Answer:
Exterme Value: [tex](2,4)[/tex].
The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.
Step-by-step explanation:
The given function is [tex]y=x^2-4x+8[/tex].
We add and subtract the square of half the coefficient of x.
[tex]y=x^2-4x+(-2)^2-(-2)^2+8[/tex].
The first three terms form a perfect quadratic trinomial.
[tex]y=(x-2)^2+4[/tex].
This function is now written in the form [tex]y=a(x-h)^2+k[/tex], where (h,k) is the extreme value(vertex).
The extreme value or the vertex is [tex](2,4)[/tex].
Interpretation:
The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.
Answer: minimum at( 2,4)
Step-by-step explanation:
A p e x
Alecia walked 3/10 of a mile from school,stopped at the grocery store on the way, then walked another 4/10 of a mile home.Georgia walked 67/100 of a mile from school to her home.Which of the girls live farther from school? Explain.
Answer:
Alecia lives farther from school
Step-by-step explanation:
Georgia
we know that
The distance from the school to her home is 67/100 of a mile
[tex]\frac{67}{100}=0.67\ miles[/tex]
Alecia
we know that
The distance from the school to her home is
3/10 of a mile plus 4/10 of a mile
so
[tex]\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles[/tex]
Compare the distances
[tex]0.7\ miles>0.67\ miles[/tex]
therefore
Alecia lives farther from school
Final answer:
The answer explains that Georgia lives farther from school than Alecia based on the distances they walked.
Explanation:
Alecia: Walked 3/10 mile from school + 4/10 mile back home = 7/10 mile total distance.
Georgia: Walked 67/100 mile total distance.
Alecia vs. Georgia: Alecia walked 0.7 mile, Georgia walked 0.67 mile. Georgia lives farther from the school as 0.7 > 0.67 mile.
What Katie bought some flour she used 3/8 of it to bake bread what percent of the flower is left over
Answer:
62.5%
Step-by-step explanation:
Angela is buying a dress that is on sale for 20% off. If the original price of the dress is $60.00, how much money is Angela saving on the dress?
Answer:
$48
Step-by-step explanation:
1. multiply the original price (60) by the percent off (20% or 0.20)
60 * .20 = 12 (the discount)
2. subtract the discount (12) from the origianl price (60)
60-12 = 48
Answer:
12
Step-by-step explanation:
bc i got it right on study island lol
What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?
A. 15 cm2
B. 12 feet
C. 4 m3
D. 16 inches
Answer:
15cm2
Step-by-step explanation:
Area of a triangle is b*h/2
B is 5
H is 6
5 * 6 = 30
30/2 = 15
Answer:
A
Step-by-step explanation:
The area of a triangle is base * height, divided by 2
bh/2 (same thing as multiplying by .5 or 1/2)
given:
base: 5 cm
height: 6 cm
(5 * 6)/2 = 15 cm^2
therefore the answer is A
When are the x-intercept and the y-intercept of a graph identical?
at the origin
they are same
Answer:
The only time that both intercepts are identical is when they form the line of [tex]x = y[/tex], which is the origin, and MUST be a POSITIVE RATE OF CHANGE [SLOPE].
I am joyous to assist you anytime.
The tangent and secant functions are undefined for the same values true or false
Answer:
TRUE
Step-by-step explanation:
tanθ = 1/cotθ
cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.
∴ tanθ is undefined when θ = ±[(2n+1)/2]π.
secθ = 1/cosθ
cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.
∴ secθ is undefined when θ = ±[(2n+1)/2]π.
The tangent and secant functions are undefined for the same values of θ.
Answer:
True
Step-by-step explanation:
The tangent and secant functions are undefined for the same values.
Secant and tangent are trigonometry function. Each function has fix value for fix angle.
For angle 90° degree or [tex]\dfrac{\pi}{2}[/tex]
As we know,
[tex]\tan90^\circ=\infty[/tex]
[tex]\tan\dfrac{\pi}{2}=\infty[/tex]
[tex]\sec90^\circ=\infty[/tex]
[tex]\sec\dfrac{\pi}{2}=\infty[/tex]
True
∞ is undefined.
Hence, Both tangent and secant are undefined at 90°
Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the length of the swimming pool?
Answer:
Option C. [tex]p=33\ ft[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem
Using proportion
[tex]\frac{p}{12}=\frac{22}{8}\\ \\p=12*22/8\\ \\p=33\ ft[/tex]
Answer:
c
Step-by-step explanation:
bc i took quiz
Matt measures 3 peices of string. The first peice is 544 cm , the second peice is 144 cm,and the third peice is 112 cm. How many meters of string does he have altogether
Answer:
[tex]8\ m[/tex]
Step-by-step explanation:
we know that
[tex]1\ m=100\ cm[/tex]
step 1
Sum the 3 pieces of string
[tex]544+144+112=800\ cm[/tex]
step 2
Convert centimeters to meters
[tex]800\ cm=800/100=8\ m[/tex]
Find x in the right triangle.
Answer:
x=4
Step-by-step explanation:
We can modify the Pythagorean Theorem to fit our needs and solve x. We know our c and our a so to find x or b we use c^2-a^2=b^2. Lets input our knowns. 5^2-3^2=x^2. Lets start solving by squaring.
25-9=x^2
Subtract
16=x^2
Take the square root
4=x