Step-by-step explanation:
[tex]\tan^2 \theta - 3\tan \theta + 2 = 0[/tex]
Let [tex]x = \tan \theta[/tex]
We can then write
[tex]x^2 -3x + 2 = 0\:\:\Rightarrow\:\:(x - 2)(x - 1) = 0[/tex]
or
[tex](\tan \theta - 2)(\tan \theta - 1) = 0[/tex]
The zeros occur when
[tex]\tan \theta = 2\:\:\:\text{or}\:\:\:\tan \theta = 1[/tex]
or when [tex]\theta = 63.4°[/tex] or [tex]\theta = 45°[/tex].
Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6
Answer:
[tex]{ \tt{2x + 4y = 8 - - - (a)}} \\ { \tt{x = 3y - 6 - - - (b)}} [/tex]
Substitute for x in equation (a) :
[tex]{ \tt{2(3y - 6) + 4y = 8}} \\ { \tt{6y - 12 + 4y = 8}} \\ { \tt{10y = 20}} \\ y = 2[/tex]
Substitute for y in equation (b) :
[tex]{ \tt{x = (3 \times 2) - 6}} \\ x = 0[/tex]
2x+4y =8
x=3y-6 ——> x–3y=–6
x–3y = – 6 ] ×(–2) ——> –2x +6y=12
2x+4y=8
–2x+6y =12
__o_o____
0+10y=20 —> 10y= 20 —> y= 20/10 —> y= 2
2x+4y=8 —> 2x + 4(2) = 8 —> 2x + 8=8 —> 2x = 0 —> x=0
(x,y) —> (0,2)
if A={1,2,3,4,5},B={4,5,6,7} and C={2,3,4}find (A-B)-C
Answer:
(A - B) - C = { 1 , 4 , 6 , 7 }
Step-by-step explanation:
A = { 1 , 2 , 3 , 4 , 5 }
B = { 4 , 5 , 6 , 7 }
A - B = { 1 , 2, 3 ,6 , 7 }
C = { 2 , 3 , 4 }
(A - B) - C = { 1 , 4 , 6 , 7 }
Determine the angles of b and c . Let a =40’ if b is a compliment of a and c is a supplement of b find these measures
Answer:
b = 50°
c = 130°
Step-by-step explanation:
Two angles A and B are complementary if:
A + B = 90°
And two angles are supplementary if:
A + B = 180°
Then, we know that:
a = 40°
b is a complement of a (this means that a and b are complementary angles)
c is a supplement of b (this means that b and c are supplementary angles).
From the first statement, we have that:
b + a = 90°
Replacing the value of a we get
b + 40° = 90°
b = 90° - 40° = 50°
b = 50°
And now we can use that b and c are supplementary, then:
b + c = 180°
replacing the value of b we get:
50° + c = 180°
c = 180° - 50° = 130°
c = 130°
Then the values we wanted are:
b = 50°
c = 130°
can anyone help me with this an explain
Answer:
si a forse that can t negativo AND f so ITS 0;3
There are two points of the form (x,-4) that have a distance of 10 units from the point (3,2). Give the x value for one of those points.
Answer:
x = - 5
Step-by-step explanation:
[tex]Let \ (x _ 1 , y _ 1 ) \ and \ (x _ 2 , y _ 2 ) \ be \ the \ points. \\\\The \ distance \ between \ the \ points \ be ,\ d = \sqrt{(x_2 - x_1)^2 + ( y _ 2 - y_1)^2}[/tex]
Given : d = 10 units
And the points are ( x , - 4) and ( 3 , 2 ).
Find x
[tex]d = \sqrt{( 3 - x)^2 + ( -4 - 2)^2} \\\\10 = \sqrt{( 3 - x)^2 + ( -6)^2} \\\\10^2 = [ \ \sqrt{( 3 - x)^2 + 36} \ ]^2 \ \ \ \ \ \ \ \ \ [ \ squaring \ both \ sides \ ] \\\\100 = ( 3 - x )^2 + 36\\\\100 - 36 = ( 3 - x )^ 2\\\\( 3 - x ) = \sqrt{64}\\\\3 - x = \pm 8\\\\3 - x = 8 \ and \ 3 - x = - 8\\\\-x = 8 - 3 \ and \ -x = - 8 - 3\\\\-x = 5 \ and \ -x = - 11\\\\x = - 5 \ and \ x = 11\\\\[/tex]
Check which value of x satisfies the distance between the points.
x = 11
[tex]d = \sqrt{(3-11)^2 + (-2--4)^2} = \sqrt{(-8)^2 + (-2+4)^2}= \sqrt{64+4} = \sqrt {68} \ units[/tex]
does not satisfy.
x = - 5:
[tex]d = \sqrt{ (3 -- 5)^2 + ( - 4 - 2)^2} = \sqrt{8^2 + 6^2} = \sqrt{100} =10 \ units[/tex]
Therefore , x = - 5
How do I do this formula
Answer:
Step-by-step explanation:
your solution is almost true h=V/πr^2 but the final answer is 36/9π= (4π)cm
--->4×3.14=12.56cm
In July 2014 one Mexican peso was worth 0.075 U.S. dollars. How many Mexican pesos was $133.00 U.S. dollars worth?
Answer:
1,773.33 Mexican pesos
Step-by-step explanation:
Create a proportion where x was how many Mexican pesos it was worth:
[tex]\frac{1}{0.075}[/tex] = [tex]\frac{x}{133}[/tex]
Cross multiply and solve for x:
133 = 0.075x
1773.33 = x
So, it was worth approximately 1,773.33 Mexican pesos
There are three uncertain (random) variables in this problem. Choose the variables that should represent uncertainty in this model.
a. Yield
b. Initial Research and Development Cost
c. Pre-Orders Picked up
d. What type of fruit to grow
e. Pre-Orders Placed
f. Salvage Price
Answer:
a. Yield
c. Pre-Order picked up
e. Pre-Orders placed.
Step-by-step explanation:
Uncertain random variables are those over which the farmer has no control. These variables are uncontrollable and there can be no prediction for it. The farmer has no control over the yield produced. He can choose what type of fruits to grow and input method but he has no control over output generated.
Solve the exponential equation: 6^-2x = 6^2 ^- 3x
A) 3
B) 2
C)4
D)-2
Answer:
the answer is x = 2 or B, hope this helps
Step-by-step explanation:
one story with author and summary please
Answer:
The story tells of a plain-looking little bird (the Ugly Duckling) born in a barnyard. His brothers and sisters as well as the other birds and animals on the farm tease him for being plain and ugly, so he runs off to live with a flock of wild ducks and geese until hunters shoot down the flock. Alone again, the Ugly Duckling finds a home with an old woman, but her cat and hen also tease him, so he doesn't stay there long.
In his wanderings, the Ugly Duckling comes across a flock of migrating swans, and he wishes to join them but can't because he's too young and can't fly well enough. When winter sets in, a farmer rescues the Ugly Duckling, but the farmer's children and other animals frighten him with their noise and teasing, so again, he flees. He spends a cold and lonely winter hiding in a cave until springtime, when the flock of swans comes to the lake near his hiding place.
When the Ugly Duckling approaches the swans, he's delighted to find that they accept him and treat him like one of them. When he looks at his reflection in the lake, he realizes, to his astonishment, that he's matured into a beautiful swan himself. When the swans fly off from the lake, he spreads his wings and joins them, finally having found a family who accepts him.
someone pls help me!!
Answer:
170
Step-by-step explanation:
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Which action is not a step in using paperfolding to find the midpoint of a line segment?
Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed. A 90% confidence interval for a mean μ if the sample has n-80 with X-22.1 and s = 5.6, and the standard error is SE = 0.63.
The 90% confidence interval is to :_________
Answer:
(21.064 ; 23.136)
Step-by-step explanation:
Given :
Sample, n = 80
Mean, xbar = 22.1
Standard deviation, s = 5.6
Standard Error, S. E = 0.63
Confidence interval :
Xbar ± Zcritical * S.E
22.1 ± (1.645 * 0.63)
22.1 ± 1.036
Lower boundary = 22.1 - 1.036 = 21.064
Upper boundary = 22.1 + 1.048 = 23.136
(21.064 ; 23.136)
Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed 6.7 Mbps0.2
0.5
1.1
2.7 0.35.60.51.12.55.00.30.51.22.78.20.30.51.22.79.60.30.51.63.210.60.30.61.63.413.00.30.62.13.614.10.40.72.13.815.10.40.82.34.015.20.4l.O2.44.030.4
Answer:
The answer is "58th %".
Step-by-step explanation:
2.4 Mbps in the sort data set is the 30th data point. Therefore 29 numbers out of 50 are less than 2.4 Mbps.
[tex]=\frac{29}{50} = 0.58 =58\%\\\\[/tex]
The X-th percent is just the same as x% below the percent and thus 2,4 Mpbs corresponds to a 58th percent.
If the domain of the coordinate transformation (, ) = ( + 2,− − 4) is (1, -4), (3, -2), (0, −1), what is the range?
A. (-2, -5), (0, -7), (1, -4)
B. (0, 3), (-2, 5), (-3, 2)
C. (3, 0), (5, -2), (2, -3)
D. (-5, -2), (-7, 0), (-4, 1)
Answer:
A. (-2, -5), (0, -7), (1, -4)
Step-by-step explanation:
The following transformation is applied:
[tex](x,y) \rightarrow (y + 2, -x - 4)[/tex]
To find the range:
We apply the transformation to the points in the domain. Thus:
[tex](1,-4) \rightarrow (-4 + 2, -1 - 4) = (-2, -5)[/tex]
[tex](3,-2) \rightarrow (-2 + 2, -3 - 4) = (0, -7)[/tex]
[tex](0,-1) \rightarrow (-1 + 2, 0 - 4) = (1, -4)[/tex]
Thus the correct answer is given by option a.
Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the resultant makes with each force.
Answer: [tex]R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}[/tex]
Step-by-step explanation:
Given
Two forces of 9 and 13 lbs acts [tex]38^{\circ}[/tex] angle to each other
The resultant of the two forces is given by
[tex]\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}[/tex]
Insert the values
[tex]\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb[/tex]
Resultant makes an angle of
[tex]\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}[/tex]
So, the resultant makes an angle of [tex]22.57^{\circ}[/tex] with 9 lb force
Angle made with 13 lb force is [tex]38^{\circ}-22.57^{\circ}=15.43^{\circ}[/tex]
Answer:
Step-by-step explanation:
. a) In a group of 75 students, 20 liked football only, 30 liked cricket only and 18 did not like any of two games? (i) How many of them liked at least one game? (ii) Find the number of students who liked both the games. (iii) How many of them liked football? (iv) How many of them liked cricket? (v) Represent the result in a Venn diagram.
i)50
Steps
30+20=50
ii)7
Steps
75-(30+20)-18
=75-(50)-18
=7
iii)20
Steps
From the available data from the question
iv)30
Steps
From the available data from the questionl
v)From the attcged image file
a, b, c are prime numbers and 5≤a
Answer:
a=5
Step-by-step explanation:
A cyclist completes a journey of 500 m in 22 seconds, part of the way at 10 m/s and the remainder at 50 m/s. How far does she travel at each speed. solve by forming simultaneous equation
Answer:
150 m at 10 m/s
350 m at 50 m/s
Step-by-step explanation:
x + y = 500
x/10 + y/50 = 22
~~~~~~~~~~~~~~~~~
x + y = 500
5x + y = 1100
~~~~~~~~~~~~~~~~
x + y = 500
-5x - y = -1100
-4x = -600
x = 150
y = 350
How many vertices (corners) does a cube have?
How many faces does a rectangular prism have?
How many edges does a rectangular prism have?
How many edges does a square-based pyramid have?
How many vertices (corners) does a square-based pyramid have?
How many faces does a triangular prism have?
How many vertices (corners) does a triangular prism have?
kb 2021
Answer:
The answer is below
Step-by-step explanation:
a) A cube is a three dimensional solid with 6 square faces.
A cube has 8 vertices
b) A rectangular prism is a three dimensional solid with two parallel rectangular bases.
A rectangular prism has 6 faces.
c) A rectangular prism is a three dimensional solid with two parallel rectangular bases.
A rectangular prism has 12 edges.
d) A square-based pyramid is a pyramid with a square base.
A square-based pyramid has 8 edges
e) A triangular prism is a three dimensional solid with two parallel triangular bases.
A triangular prism has 5 faces.
f) A triangular prism is a three dimensional solid with two parallel triangular bases.
A triangular prism has 6 vertices.
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 5?
Select one:
a. 420
4
20
b. 320
3
20
c. 520
5
20
d. 120
1
20
Answer:
4 / 20 = 1/5
Step-by-step explanation:
Given that:
Ticket numbering is from 1 - 20
Hence, total possible number of tickets : (1, 2, 3, 4, 5, 6, 7, 8,9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20)
Total possible outcomes = 20
Required outcome = multiples of 5 ; the multiples of 5 from the entire ticket numbers are : 5, 10, 15, 20
Required outcome = 4
P(multiple of 5) = Required outcome / Total possible outcomes
P(multiple of 5) = 4 / 20 = 1 / 5
Determine how much simple interest you would earn on the following investment:
$13,400 invested at a 6/2 % interest rate for 4 years.
Answer:
How do you mean 6/2%? Clarify it for assistance
Answer:
Simple interest = $ 3,484.00
Step-by-step explanation:
I= P×R×T ÷ 100
The rate is 6 1/2 and I will use the decimal form 6.5,to change that to a whole number we simply move the decimal point one place behind.
Since we moved the decimal point in the numerator we need to do the same for the denominator.Therefore 100 becomes 1000.
13400 × 65 × 4 = $ 3,484.00
1000
You are dealt one card from a 52-card deck.
a) Find the odds in favor of getting a red king.
b) Find the odds against getting a red king.
Answer:
(a)So, there are 2 kings in red- one of hearts and the other of diamonds. Therefore, the probability of selecting a red king from a deck of cards= 2/52 or 1/26.
(b) There are 6 red face cards in a 52-card deck (so 46 other cards). PROBABILITIES compare the number of favorable outcomes to the total number of possible outcomes: The PROBABILITY of getting a red face card is 6/52 = 3/26.
The odds in favor of getting a red king will be 1/26. And the odds against getting a red king will be 25/26.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
You are dealt one card from a 52-card deck.
Total events = 52
The odds in favor of getting a red king will be
Favorable events = 2
Then the probability will be
P = 2/52
P = 1/26
The odds against getting a red king will be
q = 1 – P
q = 1 – 1/26
q = 25/26
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Solve for the following equation for x. l x/4 + 3 l < 6
Answer:
this is the answer I got! i don't know if it helps, but I hope it does
Determine whether the point is on the graph of the equation 2x+7y=13
(-4,3)
Is (-4,3) on the graph of 2x+7y=13?
Yes or no?
Answer:
(I) yessssssssssssssssssssssss
Answer:
yes it is.
Step-by-step explanation:
i did this and it was correct
Cuanto es 91972×898972819
Answer:
82,680,328,109,068
Step-by-step explanation:
Use the on-line Big Number calculator
aulo uses an instrument called a densitometer to check that he has the correct ink colour.
For this print job the acceptable range for the reading on the densitometer is 1.8 ± 10%.
What is the acceptable range for the densitometer reading?
Answer:
The range is from 1.62 to 1.98.
Step-by-step explanation:
We have to solve for the percentage of the particular value if the range of the answer should be +/- 10% of the particular value.
The value given is 1.8, we thus want to find 10% of that: 1.8 * 10/100 = 0.18
Then, add this value to the original value of 1.8: 1.8+0.18 = 1.98
Furthermore, subtract .18 from from the original value of 1.8: 1.8-0.18 = 1.62
The range will be between these two numbers, so the range is from 1.62 to 1.98.
The figure below shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1 and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4. What set of transformations is performed on triangle ABC to form triangle A′B′C′? A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin
Option D. The set of transformation that is performed on this triangle (ABCD)' is A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin
How to solve for the transformationThe answer choices have been shown to have all solutions to be rotated around their origin.
To shift the triangle, It has to be done through the connection the points ABC ' to the origin in such a way that the line is extended as we can seen in the diagram.
Read more on reflection here:
https://brainly.com/question/1908648
#SPJ1
Working to
(simplify y
Lisa, an experienced shipping clerk, can fill a certain order in 7 hours, Bill, a new clerk, needs 9 hours to do the
same job. Working together, how long will it take them to fill the order?
it might take 19 hours i might be wrong
Step-by-step explanation:
What is the value of x?
2
3
6
7
Geometry B - 5.0 - Extended – 2
Answer:
I think 6.............,..........