Answers
The meaning of 13*pi/6 is as if you made 13 complete revolutions around the point pi/6.
therefore, is the same calculate the sin of 13pi/6 than the sin of pi/6.
[tex]\begin{gathered} sin(\frac{\pi}{6})=\frac{1}{2} \\ sin(\frac{13\pi}{6})=\frac{1}{2} \end{gathered}[/tex]Substituing:
[tex]csc(\frac{13\pi}{6})=\frac{1}{sin(\frac{13\pi}{6})}=\frac{1}{\frac{1}{2}}=2[/tex]The answer is: csc(13pi/6)=2.
Related Questions
The water bottle sale for a music festival started at 5:00 P.M. The table shows the linear relationship between the number of water bottles remaining and the number of hours since 5:00 P.M.
Which equation can be used to determine y, the number of water bottles remaining at the music festival x hours after 5:00 P.M.?
Answers
The equation used to determine y, the number of water bottles remaining at the music festival x hours after 5:00 P.M will be;
⇒ y = - 500x + 5500
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The table shows the linear relationship between the number of water bottles remaining and the number of hours since 5:00 P.M.
Now,
Find the linear equation for the given table as;
Take number of hours = x
And, Number of remaining bottles = y
So, Two points for the linear equation as;
⇒ (x, y) = (1, 5000) , (2, 4500)
Thus, The linear equation for the table is,
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
⇒ y - 5000 = (4500 - 5000) / (2 - 1) (x - 1)
⇒ y - 5000 = - 500 (x - 1)
⇒ y - 5000 = - 500x + 500
⇒ y = - 500x + 500 + 5000
⇒ y = - 500x + 5500
Thus, The equation used to determine y, the number of water bottles remaining at the music festival x hours after 5:00 P.M will be;
⇒ y = - 500x + 5500
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There are 83 skiers in line to ride the chair lift. If each chair seats 6 people, how many skiers will be on the last chair?
Answers
Answer:
4 people will be on the last chair.
Step-by-step explanation:
60 divided by 5 is 12. There will be 12 full seats. 64 - 60 is 4 so there will be 4 more on the last chair.
Hope this helped!
The number of infected
zombies triples every
hour. How many
zombies are there after 6
hours if one zombie was
initially infected?
Answers
Answer:
f(x) = 4(1.15)6.
Step-by-step explanation:
A line passes through the point (-4, -8) and has a slope of 4.
Write an equation in slope-intercept form for this line.
Answers
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-8})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-4)}) \implies y +8= 4 (x +4) \\\\\\ y+8=4x+16\implies {\Large \begin{array}{llll} y=4x+8 \end{array}}[/tex]
what is the answer to 8.34x0.5
Answers
please help me with this algebra question
Answers
Answer: D.
Hope it helps
PLEASE HELP!! ILL GIVE YOU BRAINLIEST
Using your equation from step 2d, estimate the GPA of a student who studies for 15 hours a week. Justify your answer.
hours on left side (x) , gpa on right side (y)
Answers
The GPA of a student who studies for 15 hours a week is 2.935.
What is a GPA?
Grade point average, or GPA, is a conventional method of evaluating academic performance in the United States on a scale of 0 to 4.
How to calculate GPA?
To calculate your GPA, divide the total number of grade points earned by the total number of letter-graded units undertaken.
Here,
We have an equation y = 0.164x + 0.475
put x= 15
we get,
y = 0.164* 15 + 0.475
y = 2.935
Hence, The GPA of a student who studies for 15 hours a week is 2.935
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Got It? Do these problems to find out.
b. y = x-5
c. y = -2x
pls help, thanks!
Answers
Answer:
For b, you just start at (0,-5)(go down 5 on the y-axis), and go one up, one over to the right, and for c, just start at (0,0) and go right one, up 2
Step-by-step explanation:
It is one question the three images are the options for answers to the question.
Answers
Find the equation of the line shown. Enter your answer in point-slope form.AV15110SX15-10-51015-5-10151
Answers
From the graph given, we are asked to find the equation of line, with our answer in point slope form.
from the graph:
y = 9, x = 10
y1 = 5, x1 = 6
recall, the equation of a line is:
y = mx + b
slope m = y - y1/x - x1
m = 9 - 5/10 - 6
m = 4/4
m = 1
y = 1x + b
y = x + b
using the point slope form:
y - y1 = m(x - x1)
Where:
y = y coordinate of second point
y1 = y coordinate of point one
m = slope
x = x coordinate of second point
x2 = x coordinate of point one.
Therefore, the point slope equation is:
y - 5 = 1(x - 6)
y - 5 = x - 6
Calculate the following trig ratios. Round to the nearest fourth place. 25 and 45
Answers
Apply the trigonometric functions:
Sin B = opposite side / hypotenuse:
Where:
B : angle
Opposite sid
Which situation could be represented by the graph
Answers
Answer:
what graph
Step-by-step explanation:
If a = [tex]\frac{2 + \sqrt{5}}{2}[/tex], find the value of [tex]a^{2} + \frac{1}{a^{2} }[/tex].
Answers
The value of [tex]a^{2} +\frac{1}{a^{2} }[/tex] if [tex]a=\frac{2+\sqrt{5} }{2}[/tex] is solved to be
5.1How to determine the equationThe equation is solved by substituting for a in the given equation [tex]a^{2} +\frac{1}{a^{2} }[/tex]
[tex]a^{2} +\frac{1}{a^{2} }[/tex]
substituting for a
[tex](\frac{2+\sqrt{5} }{2})=(1+\frac{\sqrt{5} }{2})[/tex]
[tex](1+\frac{\sqrt{5} }{2})^{2} =(1+\frac{\sqrt{5} }{2})*(1+\frac{\sqrt{5} }{2})=1+2\frac{\sqrt{5} }{2} +\frac{5}{4}=\sqrt{5} +\frac{9}{4}=4.48607[/tex]
= 4.8607 + 1/4.48607
= 5.0664
Substituting the value of a in the equation and solving resulted to 5.1
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Whats the Square root of 32 to the power of 5
Answers
Answer:
2^25/2
Step-by-step explanation:
We express them as a power of 2 using laws of indices
The aspect ratio for a computer screenis 118. If the width of the computer screen is 13.5inches. What is the begi of the mean?Answer question 1 photo attached
Answers
The aspect ratio for a computer screen is
if the width equals 13.5, then the height is:
[tex]h=\frac{13.5}{1.8}=7.5[/tex]An element with a mass of 310 grams decays by 6.4% per minute. To the nearest tenth of a minute, how long will it be until there are 100 grams of the element remaining?
Answers
Answer:
17.1
Step-by-step explanation:
Exponential Functions:
y=ab^x
a=starting value = 310
r=rate = 6.4%=0.064
Exponential Decay:
b=1−r=1−0.064=0.936
Write Exponential Function:
y=310(0.936)^x
Put it all together
Plug in y-value:
100=310(0.936)^x
100/310 = 310(0.936)^x/310
Divide both sides by 310
0.322581=0.936^x
\log 0.322581=\log 0.936^x
Take the log of both sides
log0.322581=xlog0.936
Use power rule to bring x to the front
log0.322581/log0.936 = xlog0.936/log0.936
Divide both sides by log(0.936)
17.106221=x
x≈17.1
17.12 will it take until there are 100 grams of the element remaining
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that element with a mass of 310 grams decays by 6.4% per minute.
we need to find the time will it be until there are 100 grams of the element remaining
y=abˣ
a=starting value = 310
r=rate = 6.4%=0.064
Exponential Decay:
b=1−r
=1−0.064
=0.936
Plug in these values in the formula
y=310(0.936)ˣ
100=310(0.936)ˣ
Divide both sides by 310
100/310 = (0.936)ˣ
0.322581=0.936ˣ
Apply log on both sides
log 0.322581=xlog0.936
Divide both sides by log0.936
log0.322581/log0.936 = xlog0.936/log0.936
17.106221=x
Hence, 17.12 will it take until there are 100 grams of the element remaining
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Geometry Pls Help, I need hthis very fast
Answers
The translation rule is (x, y) ---> (x+8)(x-4).
What is translation rule?
A translation is a type of transformation that moves each point in a figure the same distance in the same direction. The second notation is a mapping rule of the form (x,y) → (x−7,y+5).
A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other.
Given,
let A =(x, y) ----> (x+9,y-2) and B =(x, y) ----> (x-1,y-2)
which means A is translated 9 units right and 2 units down
and B is translated 1 unit left and 2 units down.
Therefore, rule for composition is A+B
= (x, y) ------> (x+9-1, y-2-2)
(x,y) -----> (x+8,y-4)
which means translation is 8 units right and 4 units down.
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What is the Value of log7343?
Answers
Answer: 3.86587352821
Step-by-step explanation: This cannot be solved by hand, you need a calculator for this!
octavia simplified the expression as shown explain octavia’s error and correct her work
Answers
To simplify
[tex](3x^9)^2(3x^2)^4[/tex]First of all, Octavia error can be spotted from the correct steps below
Step1: Expand the expression
[tex]3^2\times x^{9\times2}\times3^4\times x^{2\times4}=3^2\times x^{18}\times3^4\times x^8[/tex]Step2: Collect like terms
[tex]3^2\times3^4\times x^{18}\times x^8[/tex]Step 3: Simplify by using exponents laws
[tex]3^{2+4}\times x^{18+8}=3^6\times x^{26}[/tex]Step 4: Combine the terms.
The value is
[tex]729x^{26}[/tex]Her error was that she didn't apply the exponents' law properly.
One of the laws she violated was
[tex](a^b)^c=a^{b\times c}[/tex]Her mistake was that she did
[tex](a^b)^c=a^{b+c}\text{ which is wrong}[/tex]So she missed it from our step 1 above
I NEED HELP! ASAP! WILL GIVE 50 POINTS!
Answers
Answer:
Of 20,000 people that apply, 6300 actually enroll.
Step-by-step explanation:
70% of 20,000 is 14,000
45% of 14,000 is 6,300
Write the equation of the line in fully simplified slope-intercept form.
pls helpp me
Answers
Answer:
y= 1/5x -7
Step-by-step explanation:
1/5 is the slope
-7 is the y-intercept
14 in 8 in 5 in 7 in 9 in 15 in
Answers
To find the area of the whole figure, we can divide it into two rectangles, the smaller rectangle has dimensions of 5 inches by 8 inches.
[tex]A_{small}=5in\times8in=40in^2[/tex]The bigger rectangle has dimensions of 9 inches by 15 inches.
[tex]A_{bigger}=9in\times15in=135in^2[/tex]Then, we add
[tex]A=40+135=175in^2[/tex]Hence, the area of the figure is 175 square inches.A restaurant offers a 20% off coupon. The tax rate is 7.5% . If an item is listed at $15 , how much does it cost after the coupon and tax have been applied?
Answers
Answer:
11.10 or 11.1
Step-by-step explanation:
1. 15 x 0.075= 1.125 or 1.13
2. 15-1.13=13.87
3. 13.87 x 0.20= 2.774 or 2.77
4. 13.87 - 2.77 = 11.10 or 11.1
Write an equation in slope-intercept form for the graph shown.
Answers
Answer:
y= 2x-3
Step-by-step explanation:
4/2 OR 2 is the slope
-3 is the intercept
ions
aic
. Find the algebraic
expression:
3 more than the product of 2
and k
•
•
A) 3(2) + k
B) 3k + 2
C) 3 + 2k
D) 2k - 3
Answers
A club currently has 360 members who pay $350 per month for
membership dues. The club's board members want to increase
monthly revenue by lowering the monthly dues in hopes of
attracting new members. A market research study has shown that
for each $1 decrease in the monthly membership price, an
additional 3 people will join the club. What price should the club
charge to maximize revenue? What is the maximum revenue?
Answers
The price charge is $235 and the maximum revenue is $165675.
What is a parabola?It is a plane curve that is mirror-symmetrical. It is approximately U-shaped. It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed-line. It is the locus of a fixed point that moves on a plane. It has many important applications. In Mathematics, the parabola plays a crucial role.
Number of members in club = 360
Monthly membership is of $350
For $ 1 price decrease and 3 people joinining
Membership charge will be = 350-x
Members will be 360+3x
Revenue equation will be
R (x) (350-1x)(360+3x)=0
126,000-360x+1050x-3x² =0
126,000+690x- 3x²-=0
This is a parabolic equation. Maximize the function to get
Differentiate to get the parabola vertex
R'(x) = 690-6x
So, 690-6x =0
x =115
Therefore, the price charge is
350-115 = $235
The number of members is
3360+115 = 705
The maximum revenue is given as
$235 × 705=$165675
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The amount of stain needed to cover a wood surface varies directly as the area of the surface. if 3 pints of stain are needed to cover a square deck with sides 6 feet 8 inches, how many pints are needed to cover a rectangular deck of length 10 feet 8 inches and width 8 feet 3 inches?
Answers
In linear equation, 10 feet and 8 inches will require 4.6 pints.
What are instances of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.For 10 feet and 8 inches,
12 inches = 1 foot,
therefore 8 inches = 8/12 foot = 0.6 foot
10 feet 8 inches = 10 + 0.6 = 10.6 feet
6 feet 8 inches required 3 pints
1 foot would have required (3/6.8) pints
10.6 feet will then require (3/6.8)*10.6 = 4.6 pints.
Therefore 10 feet and 8 inches will require 4.6 pints.
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Which of the following terms is defined as a set of all points in a planethat are a given distance from a point?O CircleO Line segmentO RayO Parallel line
Answers
Given:
A set of all points in a plane that are a given distance from a point.
Required:
To choose the correct option for the given definition.
Explanation:
A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.
Final Answer:
A set of all points in a plane that are a given distance from a point is called circle.
Solve for a side in right triangles
Answers
The length of AC is 2.96 units using trigonometric ratio.
What are the trigonometric ratios?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios. A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.
Given that angle A = 65° and AB = 7 units.
The base of △ABC is AC, height is BC, and hypotenuses is AB.
Cosine of angle is the ratio of base to hypotenuses.
Thus cos 65° = AC/AB
Substitute AB = 7
cos 65° = AC/7
Multiply both sides by 7:
7 × cos 65° = AC
Putting cos 65° = 0.42261826174
7 × 0.42261826174 =AC
AC = 2.95832783218
AC = 2.96 (nearest hundredth)
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can someone help me with this assignment pls
Answers
The order pair (3, 14) is from the given scatter plot.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
• A scatter plot with increasing values of both variables can be said to have a positive correlation.
• A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.
In the given scatter plot, the order pair with x-coordinate 3 is 14
So, the order pair is (3, 14)
Therefore, the order pair (3, 14) is from the given scatter plot.
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