Answers
Answer:
Use SOHCAHTOA
Step-by-step explanation:
If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.
Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.
Sin(54) = 12.2 / hypotenuse
Sin(54) * hypotenuse = 12.2
Hypotenuse = 12.2 / sin(54) = 15.1
Now for Part B
Finding the last angle
180-90-54=36
So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function
Tan(36) = opp / 12.2
opp = tan(36) * 12.2 = 8.9
You can double check these answers using pythagorean theorem. Hope this helps
Related Questions
Which of the following does (square root f^2) simplify to, for any nonnegative real number f?
Answers
Answer:A
Step-by-step explanation:
Elena paga por su recibo de teléfono S/. 132,80 y de luz S/. 75,20. Si 3 meses del año pagó igual. ¿Cuánto pagó por este tiempo?
Answers
Answer:
Por 3 meses Elena pagó $624.
Step-by-step explanation:
Elena paga por su recibo de teléfono $ 132,80 y de luz $ 75,20. Por lo que, para obtener lo pagado por Elena en ese mes por sus recibos se debe sumar ambos importes:
132,80 + 75,20= 208
Entonces en ese mes Elena pagó $208.Si 3 meses del año pagó el mismo importe, entonces debes multiplicar $208 por 3.
208*3= 624
Entonces, por 3 meses Elena pagó $624.
Consider function h. Complete the statements describing the y-values of function h.
1. The end behavior of function h is described by (an oblique, no, or absolute) asymptote.
2. The range of function h is all y-values (less than or equal to 4,1,-4, or 0) and (greater than 1, 0, -4, or 4)
Answers
Answer:
1) The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.
2) The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.
Step-by-step explanation:
1) The end behavior of the function is defined by a horizontal asymptote, that is the values of [tex]y[/tex] when [tex]x[/tex] tends to [tex]\pm \infty[/tex]. Answer: The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.
2) The range of the function is the set of values of [tex]y[/tex] associated with the function. The existence of two vertical asymptotes give the following solution for the range: [tex]Ran \{h\} = (-\infty, 0] \,\cup\,(1, +\infty)[/tex] Answer: The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.
So I am rolling a standard dice once. Is rolling 3 or 4 mutually exclusive events? Please help me understand this.
Answers
Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.
Answers
AnswerAverage pay per hour 19.15
Step-by-step explanation:
1750 + 2% = 1785 pay increase
1785 x 12 months = 21420 a year
21420 divided by 52 weeks in a year averages to 411.92 weekly
Divide 411.92 by the 45 hours of work is 19.15 per hour
Brainliest please, if correct.
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
Answers
Answer:
[tex]x =5\sqrt 3[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we make use of Pythagoras theorem
[tex]x^2 + 5^2 = 10^2[/tex]
Solve the exponents
[tex]x^2 + 25 = 100[/tex]
Collect like terms
[tex]x^2 =- 25 + 100[/tex]
[tex]x^2 =75[/tex]
Take square roots
[tex]x =\sqrt{75[/tex]
Expand
[tex]x =\sqrt{25*3[/tex]
Split
[tex]x =\sqrt{25}*\sqrt 3[/tex]
[tex]x =5\sqrt 3[/tex]
In the decimal number 3.105, the digit in the hundredths place is a 5?
True
False
Answers
Answer:
False cuase 5 is in thousands
Help me thanks bsbsbs
Answers
Answer:
4.56, 4,65, 5,46, 5.64, 6.45 and 6.54
Step-by-step explanation:
start with the whole number and find the smallest one!
It would be 4 then find the number with the smallest amount
Keep doing this to all of the numbers
The system of equations
IX = y-1 ly+4=X+6 has
A no solution
B one solution
C infinitely many solutions
Answers
Answer:
no solution
Step-by-step explanation:
y = x+1 and y = x + 2 don't touch because they are parallel
if you don't know what parallel means, just search it up, but i can explain it to you:
parallel means same slope or same steepness of line
Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30
whoever answer this first gets 30 points
Answers
Answer:
-3x+30
Step-by-step explanation:
[tex]4\left(x+7\right)-7x+2[/tex]
Expand [tex]4(x+7)= 4x+28[/tex]
[tex]4x+28-7x+2[/tex]
Simplify [tex]4x+28-7x+2[/tex]
[tex]-3x+30[/tex]
helppp plsss 1 hr left
Answers
Answer:
the first one should be correct
Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34
Answers
Answer: d. $16.34
Step-by-step explanation:
The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.
Luce therefore has a federal tax of $86 as she falls in the bracket described.
If state tax is 19% of this, state tax is:
= 19% * 86
= $16.34
The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there .
A 9-column table with 7 rows is given in the prooblem.
Luce is single and making $763 biweekly. She claims no federal withholding allowances.
This amount is come between the values of $760 and $780. If we look into the table provided into the problem, the federal tax for this slab is $86.
Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,
[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]
Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
Learn more about the federal income tax here;
https://brainly.com/question/25504589
Please help me!It's urgent! I beg you guys
Answers
Answer:
y = -13
Step-by-step explanation:
y = 3x - 1 equation(i)
2x - y = 5 equation(ii)
now substitute the value of y in equation(ii)
2x - y = 5
2x - (3x -1) = 5
2x - 3x + 1 = 5
-x = 5 -1
-x = 4
x = -4
again substitute the value of x in equation (i)
y = 3x - 1
y = 3*-4 - 1
y = -12 - 1
y = -13
What is the purpose of using a scatterplot? Check all
that apply.
O to organize bivariate data
to plot points to connect a line
to plot points for two sets of data
O to compare dependent and independent variables
O to visualize relationships between data
O to find slope between two variables
Answers
Answer:
to organize bivariate data
to plot points to two sets of data
to compare dependent and independent variables
to visualize relationships between
Step-by-step explanation:
In a group of students, every student needs to make a bookmark for each of their groupmates. If the total bookmarks made is 42, how many students are there in this group?
Answers
7
Hope this helps! :)
______________
Answer:
very easy there are 42 students because every student needs a bookmark for each of their groupmates
if line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?
Answers
Answer:
what do the lines look like
Step-by-step explanation:
I need help in this (￣▽￣)
Answers
Answer:
Step-by-step explanation:
a=-2.9
b=-2 5/8=-21/8=-2.625
c=-7/3=-2.333333
-x^2 = - 36 (solve using inverse operations)
Answers
Answer:
x = ±6
Step-by-step explanation:
-x^2 = - 36
Divide each side by -1
x^2 = 36
Take the square root of each side
sqrt(x^2) = sqrt(36)
x = ±6
Help me find the slope please guys
Im struggling
Answers
Answer:
negative 1
Step-by-step explanation:
[tex] \frac{y2 - y1}{x2 - x1} = m[/tex]
the 2 points: (-2,0), (-3,1)
(1-0)/(-3+2)
=-1
m=-1
brainliest please
George earned $3,200 for one month of work. He paid $640 in income tax for the month. What percent tax did he pay? (Ignore the percent sign when gridding your answer.
Answers
Answer:
He paid $640 out of his total $3,200 for the month.
As a fraction it is (640/3200) which equals (1/5)
We want it as a percentage so we multiply the fraction by 100.
1/5×100=20%
20% is the final answer.
The equation 3x² - 4x + 6 = 0 has the roots α and β . Find the new equation with the roots (α/β²) and (β/α²) .
Answers
Answer:
[tex]{ \tt{sum = \alpha + \beta = \frac{4}{3} }} \\ { \tt{product = \alpha \beta = \frac{6}{3} = 2}} \\ \\ new \: roots : \\ { \bf{sum = \frac{ \alpha }{ { \beta }^{2} } + \frac{ \beta }{ { \alpha }^{2} } }} \\ \\ { \bf{ = \frac{ { \beta }^{2} \alpha + { \alpha }^{2} \beta }{ { (\alpha \beta )}^{2} } }} \\ \\ = { \bf{ \frac{ \alpha \beta ( \alpha + \beta )}{ {( \alpha \beta )}^{2} } }} \\ \\ = { \tt{ \frac{2( \frac{4}{3}) }{2 {}^{2} } }} \\ \\ sum = \frac{2}{3} \\ \\ { \bf{product = \frac{1}{ \alpha \beta }}} \\ = \frac{1}{2} \\ \\ { \boxed{ \tt{equation : {2x}^{2} + \frac{4}{3} x + 1 }}}[/tex]
Simplify the expressions. 3p+-q-7r--8p-q+2r
Answers
Answer:
=11p-5r
Step-by-step explanation:
3p+(-q)-7r-(-8p)-q+2r=
3p-q-7r+8p-q+2r=
3p+8p-q-q-7r+2r=
11p-5r=
Order the following numbers from least to greatest.
Put the lowest number on the left.
Answers
Answer:
-4, -1, 0, 4
Step-by-step explanation:
[tex]\boxed{ -4 }[/tex] < [tex]\boxed{ -1 }[/tex] < [tex]\boxed{ 0 }[/tex] < [tex]\boxed{ 4 }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
The negative numbers [tex]\sf\purple{-4}[/tex] and [tex]\sf\purple{-1}[/tex] are placed on the left side of 0 as they are smaller than 0.
Unlike positive numbers, the negative numbers decreases as we keep moving to the left. Therefore, -1 is greater than -4.
➺ Negative numbers < 0 < Positive numbers.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Evaluate the expression below 6^-3
Answers
I guess the question you have typed is wrong
Answer:
Step-by-step explanation:
6^{-3}
[tex]=\frac{1}{6^3} \\=\frac{1}{216}[/tex]
Please help me answer this
Answers
Perform the transformations
Answers
Ramesh went from place A to place B and then from place B to place CA is 10.8 km from B and place B is 15.5 km from place C, Rahul went from place A to place D and then place D to place C, distance between place A and D is 11.7 km and distance between place D and place C is 18.2 km, Who travelled more distance and by how much, also calculate the total distance between place A and place D and express the total distance in M,CM and KM.
Answers
Answer:
Part A
Rahul by 3.6 km
Part B
The distance between A and D, through place C, d are;
The distance between A and D in meters, m = 44,500 m
The distance between A and D in centimeters, cm = 4,450,000 cm
The distance between A and D, in kilometers, km = 44.5 km
Step-by-step explanation:
Part A
The details of the journeys are;
The distance of A from B = 10.8 km
The distance of B from C = 15.5 km
The total distance Ramesh traveled, d₁ = The distance of A from B + The distance of B from C
Therefore;
d₁ = 10.8 km + 15.5 km = 26.3 km
The total distance Ramesh traveled, d₁ = 26.3 km
The distances of the journey of Rahul is as follows;
The distance between place A and D = 11.7 km
The distance between place D and C = 18.2 km
The total distance Rahul traveled, d₂ = The distance between place A and D + The distance between place D and C
d₂ = 11.7 km + 18.2 km = 29.9 km
The total distance Rahul traveled, d₂ = 29.9 km
Therefore, given that d₂(29.9 km) > d₁(26.3 km), Rahul travelled more distance than Ramesh
The difference between the distance Rahul travelled and the distance Ramesh travelled, d₂ - d₁ = 29.9 km - 26.3 km = 3.6 km
Therefore;
Rahul travelled more distance than Ramesh by 3.6 km
Part B
The total distance from place A to place D through place C, d₃, is given as follows;
d₃ = The distance from A to B + The distance from B to C + The distance from C to D
∴ d₃ = 10.8 km + 15.5 km + 18.2 km = 44.5 km
The total distance from place A to place D, d₃ = 44.5 lm
The total distance from place A to place D in meters, m = 1000 m/km × 44.5 km = 44,500 m
The total distance from place A to place D in cm = 100 cm/m × 44,500 m = 4,450,000 cm
The point (0,0) is a solution to which of these inequalities?
A.y+5<3x-4
B.y-4<3x-5
C.y-5<3x-4
D.y+5<3x+4
Answers
So the answer is C
please please help me I have a test I need to take! Answer the following questions about the centroid of this triangle!!!!
Answers
Answer: I am sorta answering this on my alt, just move along
Step-by-step explanation:
The whole lenght is the short length 9 and the long length 18 added.
HELPPP ME PLEASEEEE asappp
Answers
Answer:
B.) √3/2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
For questions like this I recommend memorizing the Unit Circle, but for the sake of calculations here's how I do it using a calculator
cos(30) = 0.866025.....
So now I'll just go through the answers and see which is equivalent
A= 1.73...
B= 0.866025....
C=0.57735....
D=0.5
E=0.7071.....
F=1
You can see that B is equivalent.