Answers
first option: Harulo is correct because the angle is coterminal with 3π / 4 and the reference angle is π / 4.
Explanation:
1) 19 π/4 = 4π + 3 π/4, which is 4 complete turns and 3/4 of turn.
2) 3 π/4 is in the third quadrant, so the reference angle is π - 3 π/4 = π/4
3) sin (π/4) = sin (3π/4) = (√2) / 2
4) csc (π/4) = 1 / [ sin (3π/4) ] = 1 / [ (√2) / 2 ] = 2 / (√2) = √2, which shows the validity of the statement and csc(19π/4) = √2.
Related Questions
Evaluate x divided by 80 for x = 8/9. The choices are
A.71 1/9
B.1/9
C.9/640
D.90
@bohotness @chosenmatt @KamiBug @answermyquestions
I think the answer is either B or D,
Answers
The expression x divided by 80 for x = 8/9 is equal to 1/90.
Option D is the correct answer.
We have,
To evaluate x divided by 80 for x = 8/9, we substitute the value of x into the expression and perform the division:
(x) / 80 = (8/9) / 80
To divide fractions, we multiply the numerator by the reciprocal of the denominator:
(8/9) / 80 = (8/9) x (1/80)
Next, we simplify the multiplication:
(8/9) x (1/80) = 8 / (9 x 80) = 8 / 720
Simplifying the fraction further:
8 / 720 = 1 / 90
Therefore,
x divided by 80 for x = 8/9 is equal to 1/90.
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If the polynomial x^5 − 10^5 can be split as the product of the polynomials x − 10 and a, what is a?
a) x^4 - 99,990
b) x^4+10x^3+100x^2+1000x -10,000
c) x^4+10x^3+100x^2+1,000x+10,000
d)x^4+10x^3+100x^2+1000x + 10000/x-10
e)x^4 - 99990/x-10
please help !,
Answers
A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat? 3. Draw a picture or a chart that shows the information and the question
Answers
3,442 people have to stand
here Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).
y − 4 = −one half(x + 6)
y − 4 = 2(x + 6)
y + 6 = −one half(x − 4)
y + 6 = 2(x − 4)
Question 2 (Multiple Choice Worth 2 points)
Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.
x − 2y = −12
y = one halfx
y = one halfx + 6
y = one halfx + 9
Question 3 (Multiple Choice Worth 2 points)
Given the equation y − 4 = three fourths(x + 8) in point-slope form, identif
Answers
1. y − 4 = −one half(x + 6)
Solution:
the point is 4
y=4
y-4=0
the slope is,
y2-y1 / x2-x1
0-4/ 2-(-6)
-4/8 or -1/2
2. The answer is y = one half x + 6
y − 3 = one half(x + 6)
y-3= one halfx+3
y=one halfx+3 +3
y = one half x + 6
3. The solution for y − 4 = three fourths(x + 8) is,
y-4 = 3/4x + 3/4(8)
y-4 = 3/4x +6
y-4-6=3/4x
y-10=3/4x
-3/4+ y =10
further solution for its standard form is
(4)y-3/4x =10(4)
y-3x=40
y-3x-40 = 0
but from the choices, the answer is
−three fourthsx + y = 10
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for the x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Write an equation that can be used to find x.
Answers
77.49 - 3.99 = 12.25 * x
73.5 = 12.25x
(Divide both sides by 12.25)
6 = x
So, she bought six shirts
Have a nice day
You flip 2 coins.what is the probability that one coin will land on heads and one coin will land on tails?createa sample space of outcomes.
Answers
2/4=1/2=50%
There is only 4 different ways it would be resulted:
T= Tails
H = heads
H H, T H, H T or T T
Only T H and H T out of the 4 is valid, therefore 1/2 chance.
Which equation is in slope-intercept form and represents a line with slope 3 through the point (9, –4)?
y=3x+21
y=3x-31
-3x+y=-31
-3x+y=21
Answers
[tex]y = mx + q[/tex]
Where m is the slope and y is the y-intercept:
[tex]y = 3x + q[/tex]
To find q (y-intercept), substitute the coordinates of the point (9, -4) in the equation of the line and solve it as an equation:
-4=3(9)+q
-4=27+q
q=-27-4=-31
The equation of the line is: y=3x-31
The equation in slope-intercept form representing a line with a slope of 3 and passing through the point (9, -4) is y = 3x - 31. This is found by substituting the point coordinates into the slope-intercept equation and solving for the y-intercept.
The question involves finding an equation in slope-intercept form that represents a line with a given slope that passes through a specific point. Slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept. Given the slope of 3 and the point (9,
–4), we can find the correct equation by substituting into the slope-intercept form and solving for b.
The correct equation must satisfy the condition that when x is 9, y is –4. Let's use this condition to solve for b:
y = mx + b
–4 = 3(9) + b
–4 = 27 + b
b = –4 - 27
b = –31
Therefore, the equation of the line is y = 3x – 31. This is the only equation among the choices that is in slope-intercept form and satisfies the given conditions.
Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates of the vertices.
R(1, -3), S(4, -1), T(2, 2), U(-4, -2)
Click on the graphic to complete the answer.
Answers
Slope ST: -3/2
Slope TU: 4/6 = 2/3
Slope UR: -1/5
Sides RS and TU have the same slope, so they are parallel.
The slope of side ST is the negative reciprocal of the slopes of sides RS and TU, so side ST is perpendicular to sides RS and TU.
Side UR is not parallel or perpendicular to any other side.
The quadrilateral is a trapezoid.
Can someone help me with this please ?
Answers
Second question: A - 6
Ribbon candy costs 2.50 per foot how many feet can you buy if you have 11.25
Answers
Solution :
Given that , Ribbon candy costs 2.50 per foot.
To calculate the length of Ribbon candy you can buy with 11.25, first you need to calculate the length of Ribbon candy you can buy with 1.
Solving it by Unitary Method,
In 2.50 you can buy 1 foot Ribbon candy,
In 1 you can buy [tex] \frac{1}{2.50} [/tex] foot Ribbon candy,
So, In 11.25 you can buy [tex] \frac{1}{2.50} \times 11.25 =4.5 [/tex]
Hece , In 11.25 you can buy 4,5 foot of ribbon candy.
Dilation dv, 2/5 (look at picture) was performed on a rectangle. How does the image relate to the pre-image? Check all that apply. (i included picture of the above dilation because i wasnt sure if it would be helpful)
A. The image is a reduction because n < 1.
B. The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.
C. The angles of the image are two-fifths the size of the angles of the pre-image.
D. The center of dilation is at point Q.
E. The base of the image is two-fifths the size of the base of the pre-image.
Answers
Because it's a fraction of a hole number, even less than half. Dilation point is V and it's 2/5 the original size.
the angles are Not different, and the center dilation point is not Q, there is no Q possibility in this picture.
Answer:
Dilation =[tex]\frac{2}{5}[/tex] was done on a rectangle.
→As Factor of Dilation is 0.4, which is less than 1.
→So, the image will be smaller in size than Pre image.
→As, the two rectangles , Pre image and image are similar so their sides will be proportional.
As in similar figures the interior angles are congruent.
As the images are similar , so Base of the image will be two fifths of the size of the base of preimage.
Option A,B and E are Correct.
A: The image is a reduction because n < 1.
B : The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.
E. The base of the image is two-fifths the size of the base of the pre-image.
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Answers
What is the factored form of the following expressions x^2-100xy+24y^2
Answers
simplifying:
x^2 + - 100xy + 24y^2
reorder the terms:
- 100xy + x^2 + 24y^2
Final Result:
- 100xy + x^2 + 24y^2
Rugs sell for $8 per square foot. Beth bought a 9-foot-long rectangular rug for $432. How wide was the rug?
Answers
The rug had an area of 54 ft²'
54 ÷ 9 = 6 ft
The rug had a width of 6 ft.
Divide 432 by 8 to find the square foot of the rug.
[tex]432 \div 8=54[/tex]
The rug has an area of 54 square foot.
The rug must have the shape of a rectangle.
The formula for the area of a rectangle is [tex]A=wl[/tex] where A is the area, w is the width, and l is the length.
We know the area and the length.
Plug it into the formula. You get the following.
[tex]9w=54[/tex]
Divide both sides by 9 to get the width.
[tex]w=6[/tex]
The width of the rug was 6 feet, which is the same as saying the rug was 6 feet wide. Hope this helps! :)
Working together, it takes two roofers 10 hours to put a new roof on a portable classroom. if the first roofer can do the job by himself in 12 hours, how many hours will it take the second roofer to do the job by himself?
Answers
Number of hours the second roofer to do the job by himself is 60 hours.
Given that, working together, it takes two roofers 10 hours to put a new roof on a portable classroom.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Working together 1/10 roofs per hour
First roofer 1/12 roofs per hour
So, equation is x + 1/12 = 1/10
x = 1/10 - 1/12
= 6/60 - 5/60 = 1/60
Together, they work 1/60 + 1/12
= 1/60 + 5/60
= 6/60 = 1/10
Therefore, number of hours the second roofer to do the job by himself is 60 hours.
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Mickey is 40 years old and has his retirement savings in a 401(k). If he makes $55,000 annually, what is the maximum percentage of his income that he can contribute to his 401(k) plan per year? (The current maximum contribution limit is $16,500.)
Answers
Answer:
30%.
Step-by-step explanation:
We have been given that Mickey makes $55,000 annually and the current maximum contribution limit to 401(k) plan is $16,500. We are asked to find the maximum percentage Mickey can contribute of his 401(k) plan.
To find the maximum contribution percentage, we need to figure out $16,500 is what percent of $55,000.
[tex]\text{The maximum contribution percentage}=\frac{\$16,500}{\$55,000}\times 100[/tex]
[tex]\text{The maximum contribution percentage}=0.30\times 100[/tex]
[tex]\text{The maximum contribution percentage}=30\%[/tex]
Therefore, Mickey can contribute 30% of his annual income to his 401(k) plan at maximum.
write the number 0.5 in the form a/b using integers to show it is a rational number
A.5/11
B.5/10
C.5/100
D.2/1
Answers
5/10
Selection B is appropriate.
Answer:
The correct option is B.
Step-by-step explanation:
The given number is 0.5.
If a number can be defined as a/b where b≠0, then it is called a rational number.
We need to rewrite the given number in the form of a/b using integers.
Multiply and divide the given number by 10 to remove the decimal from the given number.
[tex]0.5\times \frac{10}{10}[/tex]
On simplification we get
[tex]\frac{0.5\times 10}{10}[/tex]
[tex]\frac{5}{10}[/tex]
Here a=5 and b=10 both are integers.
The given number 0.5 is a ration number because it can be written as 5/10.
Therefore the correct option is B.
The number 12,089 is?
< 12,098.
= 12,098.
> 12,098.
Or none of these is correct
Answers
The first choice is the correct one.
Final answer:
The numbers 12,089 is less than 12,098, as determined by comparing the ones place of each number., hence the correct option is A
Explanation:
The student asks for the correct comparison between the numbers 12,089 and 12,098. To generate an accurate answer, we compare the digits from left to right.
Since the thousands, hundreds, and tens places are the same, we look at the ones place to determine which number is greater. Comparing the ones digits, we see that 9 (in 12,098) is greater than 8 (in 12,089), therefore 12,089 is less than 12,098.
The correct answer is:
12,089 < 12,098.
5. given no other restrictions, what are the domain and range of the following funtction? f(x)=x^2-2x+2 if your in connexus and have done the algebra 2 final could you give me the awnsers
Answers
I need help making a linear equation for this scenario?
"You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23 cents per minute, while calls to France cost 21 cents per minute."
"Write a linear equation in two variables to represent the number of minutes you can use to call those two locations.",
Answers
Hi, can somebody please help me with this problem? Thank you.
Answers
The slope will be: y2-y1/x2-x1
-4 - 2/4 - 2
-6 / 2
-3
SO the slope is -3.
Now for the parallel line:
The slope will be the same because they are parallel.
y - y1 = m(x - x1)
y - 4 = -3 (x - (-1))
y - 4 = -3x - 3
y = -3x +1
I think im right...?
Jamal wrote the following statements: Statement 1: Perpendicular lines are two lines that intersect at 90° angles. Statement 2: All right angles are congruent. Which geometry term does each statement represent?
Answers
Statement 1: definition; Statement 2: theorem
Hope this helps
So I just wanna see if I got this one correct my question is.... Each volume of an encyclopedia is 2 1/3 inches wide. How many volumes will fit on a shelf 18 inches wide?
Answers
let's first convert the mixed fraction to "improper" and then do the division
[tex]\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\\\ \cfrac{18}{\quad\frac{7}{3} \quad }\implies \cfrac{\frac{18}{1}}{\quad\frac{7}{3} \quad }\implies \cfrac{18}{1}\cdot \cfrac{3}{7}\implies \cfrac{54}{7}\implies 7\frac{5}{7}[/tex]
of course, you won't be chopping off a volume, so only the whole number will go from the quotient.
You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar and 50% water. How many cups of white vinegar do you need to add to the mixture?
Answers
x-->volume of white vinegar you need to add to the mixture (measured in cups)
then
the amount of the pure vinegar in the mixture will be -----> (10*0.1 + x) cups
the volume of liquid will be ---------> 10 + x
the concentration equation is-------> [(10*0.1 + x)/(10+x)]=0.50multiply both sides by (10+x) and then simplify
(10*0.1 + x)=(10+x)*0.50-----------> 1+x=5+0.50x-------> 0.50x=4
x=8
the answer is
you need to add 8 of a cup of the pure vinegar to the mixture
To change a mixture that is 10% vinegar and 90% water to a 50-50 mixture, one would have to add 8 more cups of vinegar. This is because there are already 9 cups of water in the 10 cup solution, so adding 8 more cups of vinegar will total to 9 cups of vinegar and 9 cups of water.
Explanation:This question can be tackled using a simple mathematical approach. You already have a mixture that is 10% vinegar and 90% water, which means you have 1 cup of vinegar in your 10 cups of solution (because 10% of 10 cups is 1 cup). To get a 50-50 mixture, you also need the amount of water to equal the amount of vinegar. Since you already have 9 cups of water in the solution, you need to add 8 more cups of vinegar to balance it out and get a 50% solution. So you'll need to add 8 cups of white vinegar to your mixture in order to attain a balance of 50% vinegar and 50% water.
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What is the formula of quadratic equations?
Answers
Final answer:
The quadratic formula is used to find the solutions of quadratic equations. It is x = (-b ± √(b² - 4ac)) / (2a). The discriminant determines the nature of the solutions.
Explanation:
The formula for quadratic equations is:
x = (-b ± √(b² - 4ac)) / (2a)
Quadratic equations are equations of the form ax² + bx + c = 0. The quadratic formula is used to find the solutions or roots of these equations. The discriminant, b² - 4ac, determines the nature of the solutions: if it is positive, there are two real solutions; if it is zero, there is one real solution; and if it is negative, there are two complex solutions.
Could anyone assist me here?
The table shows ordered pairs for a polynomial function, f.
x f(x)f(x)
−2−2 30
−1−1 0
0 −2−2
1 0
2 30
3 160
4 510
What is the degree of f?,
Answers
_____
f(x) = 2(x^4 -1)
Answer:
The degree of the polynomial function will be 4.
Step-by-step explanation:
The table shows the ordered pairs for a polynomial function, f.
[tex]x[/tex] -2 -1 0 1 2 3 4
[tex]f(x)[/tex] 30 0 -2 0 30 160 510
Now, to get the degree of the polynomial, it is required to get the difference of the value of function. When the value of the function becomes equal, then the number of step or difference will be its degree.
So, the first difference of the function will be,
[tex]0-30=-30\\ -2-0=-2\\0-(-2)=2\\30-0=30\\160-30=130\\510-160=350[/tex]
Now, the second difference of the function will be,
[tex]-2-(-30)=28\\2-(-2)=4\\30-2=28\\130-30=100\\350-120=220[/tex]
Now, the third difference of the function will be,
[tex]4-28=-24\\28-4=24\\100-28=72\\220-100=120[/tex]
Now, the fourth difference of the function will be,
[tex]24-(-24)=48\\72-24=48\\120-72=48[/tex]
So, the fourth difference of the function is equal and hence, the degree of the polynomial function will be 4.
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An expression is shown below:
3x3y + 15xy − 9x2y − 45y
Part A: Rewrite the expression so that the GCF is factored completely. Show the steps of your work. (4 points)
Part B: Rewrite the expression completely factored. Show the steps of your work.
Answers
3x^3y+15xy-9x^2y-45y
=3x^3y+3*5x*y-3*3x^2*y-3*15y
factoring 3y we get:
3y(x^3+5x-3x^2-15)
B]
Factoring the expression we get:
3x^3y+15xy-9x^2y-45y
=3xy(x^2+5)-9y(x^2+5)
=(3xy-9y)(x^2+5)
A portion of a city map is shown in the figure at the right. If you walk along Maple Street between 2nd Street and Elm Grove Lane, how far do you walk? Round your answer to the nearest tenth of a yard.
Answers
The length is 259.4 yd.
We have to find the length of AC.
using sin rule,
we have
[tex]\frac{c }{Sin C} = \frac{b}{sinB}[/tex]
[tex]\frac{210}{sin 54} = \frac{b}{sin 88}[/tex]
[tex]b =\frac{210 sin 88}{sin 54}[/tex]
[tex]b = 259. 4161\\b = 259.4[/tex]
The length is 259.4 yd.
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Question
"which answer is not a theorem or postulate used to prove triangles' similarity?"
Answers
1) AA - If two angles are congruent to the other 2 angles in a triangle, then the triangles must be similar.
2) SSS - If all the sides are in the same proportion, then the triangles must be similar.
3) SAS - If an angle between two proportional side is congruent to the angle in the other triangle, then the triangles must be similar.
in simple words it is SSA
If you pick a gumball at random, put it back, and then pick another gumball at random, what is the probability of picking a blue gumball then picking a yellow gumball?
Answers
It depends on how many colors of gumballs there are and how many gumballs there are in total. With those, we can set the fraction to each gumball color.
Hope this helps!
Answer:
its 1/50
Step-by-step explanation: