Answers
Answer:
1. x=π/6+πn, 5π/6+πn
2. x=2π/3+2πn, 4π/3+2πn, π+2πn
3. x=5π/6+πn, 5π/3+πn
4. 2+√3
5. -(√(2-√3))/2
Related Questions
Write a quadratic function in standard form whose graph passes through (-2,0), (3,0), and
(2, – 32).
Answers
Answer:
y = -8x^2 - 8x - 48
Two cables, with lengths of 40 feet and 35 feet, are tied from the top of a pole to stakes in
the ground. If the stakes are 30 feet apart, find the height of the pole.
Answers
Answer:
The height of the pole is 33.89 feet.
Step-by-step explanation:
Since the length of the cables are 35 feet and 40 feet respectively, the 40 feet cable being farthest from the pole. We know that they are 30 feet apart. This forms a scalene triangle in which the angle between the 40 feet cable and the distance apart of the cables ( or ground) is the angle of elevation of the pole from the 40 feet cable.
So, we use the cosine rule to find this angle of elevation. So,
b² = a² + c² - 2accosB where a = 40 feet , b = 35 feet, c = 30 feet and B = angle of elevation of top of pole from 40 feet cable.
cosB = (a² + c² - b²)/2ac
cosB = (40² + 30² - 35²)/(2 × 40 × 30)
cosB = (1600 + 900 - 1225)/2400
cosB = 1275/2400
cosB = 0.53125
B = cos⁻¹(0.53125)
B = 57.9°
Since we now have the angle of elevation of the top of the pole from the 40 feet cable, we now find the height h of the pole from
sinB = h/40 since the 40 feet cable, the ground and the pole form a right-angled triangle.
h = 40sinB
h = 40sin57.9°
h = 40 × 0.8472
h = 33.89 feet
So, the height of the pole is 33.89 feet.
Please help im timed:)
Answers
Answer:
A
Step-by-step explanation:
Simplify and subtract.
Answer:
Step-by-step explanation:
4(0.5x+2.5y-0.7x-1.3y+4)
2x+10y-2.8x-5.2y+16
-0.8x+4.8y+16
If 5 little pumpkins cost $12, how much money do you need to buy 23 little 7 points
pumpkins?
54
55.2
56
57.2
Answers
Answer:55.2
Step-by-step explanation: first, find the unit price which is 2.4
Then 2.4 • 23 because you are buying 23 pumpkins and then you would get 55.2 but since you are talking about money, it would be $55.20
You have a recipe that requires 1/3 cup of sugar but you only want to make a fourth of the recipe how much sugar do you need to make this fraction of the recipe? A) 1/12 cup b) 7/12 cup c) 3/4 cup d) 4/3 cup
Answers
Answer:
A
Step-by-step explanation:
how I solved it was 4x3=12
Answer:
A.
Step-by-step explanation:
That is 1/4 * 1/3 = 1/12,
need help on finding the perimeter in feet
Answers
Answer:
30 ft
Step-by-step explanation:
7.5 + 12.5 + 10 = 30 ft
7.3 times 10^22 what does it equal?
Answers
The correct answer is 7.3e +22
Finn looked at 2 websites every 18 hours. At that rate, how long, in
hours, will it take to look at 4 websites? Plz help
Answers
Answer: 1 day, 12 hours (36 hours)
Given that Finn looked at 2 websites every 18 hours, let's solve the problem.
Multiply by 2, because he looks at 4 websites, and 2 x 2 = 4.
18 x 2 = 36.
The answer should be 36. Hope this helps you!
1. To participate in a school trip, Kim had to earn $85 in one week. Kim could earn $8 per
hour babysitting and $15 per hour for yard work, but Kim's parents limit work time to 8
hours per week. How many hours should she spend doing each type of work?
a
First define your variables.
b. Write two equations, one that represents the condition on the total number of hours to be
worked and the other which relates the number of hours worked at each job towards her
goal.
Answers
PLS HELP FAST if all three angles of a triangle are 60 degrees, what are the length of the side(s)?
Answers
Answer:
180
Step-by-step explanation:
the lengths are all 180 because 60 degrees times three sides is 180 so the length of one side is 180.
If f(x) = 0, what is x?
• 0 only
•-6 only
•-2,1, or 3 only
•-6,-2,1 or 3 only
Answers
Answer:
-2, 1, or 3 only
Step-by-step explanation:
it’s asking for x intercepts
need help plzz answer
Answers
2= 26
I hope this is what the question was asking
how are translations described mathematically
Answers
Answer:
In geometry, a translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. This is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.
Help urgent!!!!!!!!!!!
Answers
Answer:
X= -5x hope this helped :)
this is my sisters work i dont want her to fail so please
im busy doing science
Answers
Answer:
$9,635.00
Step-by-step explanation:
41 bracelets×$235.00=$9,635.00
First can I just say, those are some expensive jewelry!
l
Step-by-step explanation:
The amount of bracelets that she sold last month, (Saturday + Sunday) is 41. So last month she sold 41 bracelets.
Each bracelet cost $235 so we have to multiply to amount of money one bracelet cost, times how many she sold.
$235 x 41 = $9635
She made $9635 by selling bracelets last month.
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT
Answers
Answer:
500/40125/vDensitym/vI hope this helps!
Q. What is the equation by looking at this graph?
Answers
Answer:
y=x+2
Step-by-step explanation:
slope is 1
y-int is +2
Answer:
y = 3 + 1/1
Step-by-step explanation:
First, the line passes the y-intercept at 3, so we have y = 3. But we also need the slope. Because the slope is 1/1 or 2/2, the equation would be this:
y = 3 + 1/1
I hope this helps! If you have any questions about how I got this answer please feel free to comment them!
What is the x-intercept of the graph?
A) -4
B) -3/2
C) 2/3
D) 6
Answers
Option D, 6 is the correct answer
Answer:
c
Step-by-step explanation:
Suppose m is the line with equation y = −4 and ΔA'B'C is mapped to ΔA"B"C" by applying the glide reflection T3, 0 Rm.
What are the coordinates of ΔA″B″C″?
Answers
Answer:
The coordinates of ΔA''B''C'' are;
A''(-1, -3), B''(-2, -6), C''(1 , -7)
Step-by-step explanation:
A glide reflection involves the reflection of the preimage over a given line, followed by the translation of the resulting image along the given line
Given that the coordinates of the triangle ΔA'B'C' are;
A'(-4, -5), B'(-5, -2), C'(-2, -1), we have by reflection across the line y = -4
A''(-4, -4 + 1) = A''(-4, -3)
B''(-5, -4 - 2) = B''(-5, -6)
C''(-2, -4-3) = C''(-2, -7)
Translation of A''B''C'' by T 3, 0, we have;
A''(-4, -3) → T₃, ₀ → A''(-4 + 3, -3) = A''(-1, -3)
B''(-5, -6) → T₃, ₀ → B''(-5 + 3, -6) = B''(-2, -6)
C''(-2, -7) → T₃, ₀ → C''(-2 + 3, -7) = C''(1 , -7)
The coordinates of ΔA''B''C'' are therefore;
A''(-1, -3), B''(-2, -6), C''(1 , -7).
Answer:
A″(−1, −3), B″(−2, −6), C″(1, −7)
option A
what is 0.000 0643 in standard form form ?
and what is 0.000 000 205 in standard form?
0.000 000 005 009
Answers
Answer:
See below
Step-by-step explanation:
[tex]0.000 0643 = 6.43 \cdot 10^{-5}[/tex]
[tex]0.000 000 205 = 2.05 \cdot 10^{-7}[/tex]
[tex]0.000 000 005 009 = 5.009 \cdot 10^{-9}[/tex]
Plot the image of point Q under the translation (x, y) + (x - 3, y + 4).
Answers
Answer:
( 2, -1 )
Step-by-step explanation:
The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,
Here we have to translate the point Q(2, 3).
Point (x, y) is translated as (x - 3, y + 4).
That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.
Q(2, 3) after the translation becomes,
Q'(2 - 3, 3 + 4) = Q'(-1, 7)
Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).
To learn more about Translation, click on the link :
https://brainly.com/question/12463306
#SPJ5
what kind of sequence is this?
-117, -114, -110, -105,...
Answers
Answer:
Finite
Step-by-step explanation:
When the sequence goes on forever it is called an infinite sequence,
otherwise it is a finite sequence
Examples:
{1, 2, 3, 4, ...} is a very simple sequence (and it is an infinite sequence)
{20, 25, 30, 35, ...} is also an infinite sequence
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Help me am confused
Answers
9514 1404 393
Answer:
{ (-441/23, 433/23) }
Step-by-step explanation:
The "cross-multiplication method" is usually shown as follows:
1. rewrite the equations in general form: ax +by +c = 0
2. write the coefficients in two row in the order b, c, a, b.
3. form three products, each being the number in the first row times the number to its right in the second row. That is, b1·c2, c1·a2, a1·b2
4. form three more products, each being the number in the second row times the number to its right in the first row. That is, b2·c1, c2·a1, a2·b1
5. form three differences, subtracting the products of step 4 from those of step 3. Call these differences d1, d2, d3. (For example, d1=b1c2-b2c1.)
6. The values of x and y satisfy the equations ...
x/d1 = y/d2 = 1/d3
which is to say, ...
x = d1/d3, and y = d2/d3
_____
For your equations, we can rewrite them as ...
11x +12y -15 = 012x +11y +23 = 0Then our rows of coefficients are ...
[tex]\begin{array}{cccc}12&-15&11&12\\11&23&12&11\end{array}[/tex]
And our differences are ...
d1 = 12(23) -11(-15) = 441
d2 = -15(12) -23(11) = -433
d3 = 11(11) -12(12) = -23
The relations between x and y are ...
x/441 = y/-433 = 1/-23
so, x = -441/23 and y = 433/23
The solution set is one ordered pair: { (-441/23, 433/23) }.
_____
Additional comments
The final solution is identical to the formula arrived at using Cramer's Rule. Calling this the "cross-multiplication method" avoids any discussion of matrices and determinants.
The cost of 6 team sweatshirts is $84.
At this price, how much would it cost to
buy sweatshirts for a whole team of 24
players?
Answers
Answer:
336
Step-by-step explanation:
I aredy know it but can ya put it and see if I’m right plz :>
Answers
Find the missing side
Answers
Answer:
The answer is D) 6 1/4 to win a bet
Answer:
the answer is D to win a bet ;)
Step-by-step explanation:
you have to divide the 6/12 and 13 and the 12 ;)
382.993 to the nearest hundredth
Answers
Answer:
That number rounds to the nearest hundredth to this number: 382.99
3/4 + ( 1/3 / 1/6 ) - (- 1/2)
Please hurryyyyyy thank you
Answers
Answer:
=47/36
(Decimal: 1.305556)
Step-by-step explanation:
Answer:
3 1/4
Step-by-step explanation:
3/4 + ( 1/3 / 1/6 ) - (- 1/2)
First, divide within the parenthesis
3/4 + 2 - (- 1/2)
Next, change the double subtraction to an addition
3/4 + 2 + 1/2
Convert to forths
3/4 + 2 + 2/4
Add 3/4 and 2
2 3/4 + 2/4
Add 2 3/4 and 2/4
3 1/4
I hope that this helps :)
answerrrr please . thanks xoxo
y-2>11
Answers
Answer:
y >13
Step-by-step explanation:
y - 2 > 11
solve like how you would solve an equation, with inverse operations
y -2 > 11
+2 +2
y > 13
Answer:
it shoud just be y>13
Step-by-step explanation:
bc you add 2 to each side which cancels the -2 on the left and makes the 11 on the right 13
What is 32 squared root
Answers
Answer: 4√2
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Try multiplying 4*4*2 = 32. So you would bunch up those two 4's and so it would be the front of the answer. Then you would square root 2 because it is remaining.
~I hope I helped you! :)~