Question 10
Draw a 30-60-90 triangle template. Refer to the diagram below.
We have 1 as the short leg, 2 as the hypotenuse and sqrt(3) as the long leg.
Place the angle theta as the reference angle such that it's opposite the sqrt(3) side.
That allows tan(theta) = sqrt(3)/1 = opposite/adjacent
In other words, tan(60) = sqrt(3)/1
So theta = 60 is one solution. We add on 180 to get the other solution. So the other solution is 60+180 = 240
So tan(60) = tan(240) = sqrt(3)
Answers: 60 and 240======================================================
Question 11a
sin(theta) = -0.8
theta = arcsin(-0.8) or theta = 180-arcsin(-0.8)
theta = -53.1301 or theta = 180 - (-53.1301)
theta = -53.1301 or theta = 233.1301
Add 360 to the first angle to find a coterminal angle counterpart.
-53.1301 + 360 = 306.8699
So the two approximate solutions are
theta = 306.8699 or theta = 233.1301
and those round to 306.9 and 233.1 respectively.
Answers: 233.1 and 306.9======================================================
Question 11b
cot(theta) = 1.8
tan(theta) = 1/(1.8)
theta = arctan( 1/(1.8) ) or theta = 180+arctan( 1/(1.8) )
theta = 29.0546 or theta = 180+29.0546
theta = 29.0546 or theta = 209.0546
theta = 29.1 or theta = 209.1
Answers: 29.1 and 209.1Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)
−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false
Answer:
−2≤−2 True
6.1<6.1 False
5.6≥5.6 True
5.6≥5.6 True
−4>4 False
Step-by-step explanation:
Hence, all the statements are true except option (4).
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.
[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].
Hence, all the statements are true except option (4).
To know more about the inequality
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Consider the complex number 5 + 0.45i What is the real part of this complex number?
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A complex number in the form z = a + bi , then
the real part of z is a and b is the imaginary part
For 5 + 0.45i
where 5 is the real part
3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6
PLEASE HELP ASAPP!!!! I’LL GIVE BRAINLIEST!! PLEASE HELP QUICKLY!
1. A pet store purchases dog food from a supplier in the local community for $20 per bag. If the store adds a 10% markup to the dog food, how much will a customer have to pay for a bag?
2. Jimmy's shop recently imported a new PlayStation game. The game originally cost $25, and for the company to make a profit they sell the game with the price increased by 40%. How much do they sell the game for?
Answer:1. 22
2. 35
Step-by-step explanation:
Answer:
1. $18.00 2. $15.00 your welcome and i hope it helps
Step-by-step explanation:
If you roll two fair six-sided dice what is the probability that the sum is:
Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.
Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x
Let ‘x’ be the number on the first dice.
‘Y’ be the number on second dice.
We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.
Total number of possible results from two six-sided dice is 6 × 6 = 36.
The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).
Number of possible results for the sum is 5 or lower is 10.
The probability that the sum is 5 or lower = 10/36
=5/18
Therefore, the probability that the sum is 5 or lower is 5/18.
I need help with this please
Answer:
see attached
Step-by-step explanation:
boundary line
When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.
4y ≤ -5x -4 . . . . subtract 5x from both sides
y = -5/4x -1 . . . . divide both sides by 4
This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.
line type and shading
The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.
The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.
_____
Additional comment
You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...
5x ... ≤ ...4y ... ≤ ...These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)
7. Un cuerpo desliza hacia abajo con velocidad constante por un plano inclinado a un ángulo de 22º. Luego es lanzado en sentido contrario por el mismo plano con una velocidad inicial de 4.0 m/s. a) ¿Qué distancia subirá por el plano antes de detenerse? b) ¿Deslizará nuevamente hacia abajo?AYUDAAAA ES PARA HOY!!!
The distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
What is resolution of vectors?If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.
Given is that body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.
[A] -
We can write the total distance covered along the slant as a function of [x] and [y] components as -
h = h[x] i + h[y] j
Now -
h[x] = 4tcos(22°)
Now -
F = ma
F = m{dv/dt}
Fdt = mdv
mg sin(22°)dt = mdv
dt = {1/g sin(22°)}dv
∫dt = ∫ {1/g sin(22°)}dv
t = v/g sin(22°)
So, we can write -
h[x] = 4 cos(22°)v/g sin(22°)
h[x] = {4v/g}{cot (22°)}
Similarly -
h[y] = 4t'cos(22°)
F = ma
F = m{dv/dt}
Fdt = mdv
N cos(22°) - mg = F
{N cos(22°) - mg}dt' = mdv
{mg cos(22°) - mg}dt' = mdv
{g cos(22°) - g}dt' = dv
dt' = dv/{g cos(22°) - g}
∫dt' = ∫dv/{g cos(22°) - g}
t' = {v/g(cos(22°) - 1)}
So -
h[y] = 4 x {v/g(cos(22°) - 1)} x cos(22°)
h[y] = {4v/g(cos(22°) - 1)} cos(22°)
So -
Distance travelled across the slant -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²
[2] -
Yes, it will slide down again.
Therefore, the distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
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{Question in english language -
A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}
Alguien me dice que debo hacer aqui porfavor es para un examen
Answer:
Cuando tenga problemas con una pregunta, venga aquí y también lo ayudaremos si no recibe la pregunta, intente omitirla.
Step-by-step explanation:
Karla is reading about a type of single-celled microorganism that can live inside the human body. This type of organism can be either harmful or harmless to people, depending on the type. One harmless type lives in the intestines and helps the body digest food. One harmful type can cause strep throat. Which type of organism is Karla most likely reading about?
a line passes through the point -8,-3 and has a slope of -3/2. write an equation
Answer:
y = -3/2x - 15
Step-by-step explanation:
Use the slope intercept form y = mx + b to substitute the slope = -3/2 and the point (-8, -3).
y = mx + b
-3 = -3/2(-8) + b
-3 = 12 + b
-15 = b
y = -3/2x - 15
which algebraic expression has like terms?
a. 9n^3-2n+3-4n^2
b. 7n^3+3n-3-6n^2
c. 7n^3+4n-3n^3-5n^3
d. 6n^3-4n^3+6n-5n^3
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
Over the summer, Regan started studying Russian with an app and completed 5 lessons. Now that school has started, she will work more slowly, completing 1 lesson per month.
Write an equation that shows how the total number of lessons Regan has completed, y, depends on how many months of the school year have passed, x.
Answer:
y=x+5
Step-by-step explanation:
if you mean how many she completed INCLUDING the 5 over the summer
Roger is paid $50 to sell videos of a play to an audience after the play is performed.
He also receives $2 for each video he sells. The equation E=50+2v
E=50+2v
models the amount of money Roger earns selling v videos. The play's audience consists of 230 people.
What is the practical range of the equation?
Question options:
The set of all even integers greater than or equal to 50 and less than or equal to 510
The set of all integers greater than or equal to 50 and less than or equal to 510
The set of all real numbers greater than 0 and less than 230
The set of all real numbers greater than 50
The set of all even integers greater than or equal to 50 and less than or equal to 510
In other words, [tex]0 \le E \le 510[/tex] where E is an even integer.
===========================================================
Explanation:
The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.
In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.
Let's plug in the smallest item from the domain (v = 0).
E = 50+2v
E = 50+2*0
E = 50+0
E = 50
This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.
Now let's plug in the largest value for v (230).
E = 50+2v
E = 50+2*230
E = 50+460
E = 510
This tells us that $510 is the most Roger can get from the audience of 230 people. This is assuming that each person buys only one copy.
So we can see that the range of E values spans from $0 to $510.
Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510
In symbolic form, we'd say [tex]0\le E \le 510[/tex] where E is an even integer.
In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.
Answer: the answer is A
Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?
Answer:
18 Tala
Step-by-step explanation:
6/2= 3
3*6= 18
18 Tala
29. ERROR ANALYSIS Describe and correct the error in
rewriting the expression in rational exponent form.
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd
what is the cost of 12 bottles? explain
Answer:
$24
Step-by-step explanation:
The unit rate is shown to be $2 per bottle. The cost of 12 bottles is 12 times the cost of one bottle. That means the cost of 12 bottles is ...
(12 bottles) × ($2/bottle) = $24
HELP!!!
‐9z = ‐207
Please solve this with math explanations and NOT just the answer! Whoever explains first will get brainly!
Answer:
23
Step-by-step explanation:
this is because
the equation is saying -9time something = -207
so
you would -207 divided by -9
which gives you 23
so
z=23
what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5
Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.
Kelly and her mom like to travel to different states. Kelly's mom has visited 32 states. That is 4 times as many states as Kelly has visited.
How many states has Kelly visited?
32 / 4 = 8
When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.
32 / 4 = 8
So, Kelly has visited 8 states.
What is the slope?
x: -3, -5, -9
y: 1, 5, 13
yall i need help asap! its due in 1hr!!
Answer: I can help!
The answer is (B)
The answer is (B) because if you take 921 and remove all the other zeros which are just place holders, you get 9 move in the decimal and now there is 9.21 then you see how many zeros there are ans that gives you 3.
For the second one the answer is (A)
If you were to look up how much 2000% is you would get 20% so therefore that is the answer.
I hope you do good!
My apologies if anything is wrong.
PLs help me 30 points in total
Answer:
5. 11 1/12 or 133/12
6. 8/15
Step-by-step explanation:
5. make them have a common denominator and then add
6. multiply 2/3 * 4/5
What is the equation of the line that passes through the point (-5, -2) and
has a slope of -6/5
Answer:
y=-6/5x-8
Step-by-step explanation:
Because you know the slope of the line, you can put it into the slope-intercept form equation:
y=-6/5(x) +b
Then plug in the x and y values which are -5 and -2:
-2=-6/5(-5) +b
Now you can solve for b:
-2=6 +b
-8=b
Now that you know b and already have the slope, plug those into the equation:
y=-6/5x -8
Nancy's nut shop sells cashews for $5.30 per pound and peanuts for $2.80. How many pounds of peanuts must be added to 20 pounds of cashews to make a mix that sells for $3.30 per pound?
Answer:
80 pounds
Step-by-step explanation:
let 'p' = pounds of peanuts to be added
20(5.3) + 2.8p = 3.3(20 + p)
106 + 2.8p = 66 + 3.3p
40 = 0.5p
p = 80
Describe the graph x = 2.
Group of answer choices
Horizontal line that goes through the point (0,2).
Vertical line that goes through the point (2,0).
Diagonal line that goes through point (0,2).
Diagonal line that goes through the point (2,0).
Answer:
3rd is the answer!! Hope this helps
thank you in advance to whoever answers !!!!
Answer:
answer c would be correct because the model both moved and rotated.
Pls help me rn bec sue tmr pls pls
Answer:
Number of 1-cm cube 24. Volume of solid 24 cm^2
Step-by-step explanation:
Help me please ******
Answer:
11 is B then 12 is D
Hoped that helped:P
Need help with the answer it’s confusing
16±0.12
Step-by-step explanation:
%uncertainity=uncertainity÷measured value×100%
0.75×16=100x
x=12÷100
x=0.12
ANS;16±0.12
System of equation
Value of b