Answers
[tex]\cos \theta = \dfrac 12\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}3\\\\\text{For n =0 ~ \text{and}~ n=1}\\\\\\\theta = \dfrac{\pi}3 , \dfrac{5\pi}{3}\\\\\text{In degrees,}\\\\\theta = 60^{\circ} , ~ 300^{\circ}[/tex]
Related Questions
The pair of polygons is similar. Find the value of x.
187. 5 in
12 in
30 in
37.5 in
Answers
Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.
Leave your answer in the form y=mx+c
Answers
9514 1404 393
Answer:
y = 2x -5
Step-by-step explanation:
The parallel line will differ only in the value of c. That can be found using the given point.
y = mx +c
c = y -mx . . . . . . subtract mx to solve for c
c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)
The equation of the parallel line is ...
y = 2x -5
Roberto bikes for 5.2 hours and covers a distance of 49.4 miles. Eileen bikes for 2.5 hours and covers a distance of 20.5 miles.
Assuming both Roberto and Eileen bike at a constant speed, who was biking faster and by how much? Select from the drop down menus to correctly answer the question. Choose... bikes faster than Choose... by Choose... mi/h.
Answers
Answer:
Roberto bikes faster than Eileen by 1.3 mi/h
Step-by-step explanation:
Roberto bikes at 49.4/5.2=9.5 mi/h
Eileen bikes at 20.5/2.5=8.2 mi/h
9.5-8.2=1.3
So Roberto bikes faster than Eileen by 1.3 mi/h
Show all your working.
2
3
Income tax
Everyone can earn a certain amount of money without paying tax. This
is called a Personal Allowance. They must pay tax on any earnings
over this allowance.
4
5
6
£11 850
Income tax Personal Allowance, 2018/2019
7
8
This formula gives the amount of Income tax a person pays in a year
T = 0.2 (y-p)
9
10
where T = income tax for the year
y = money earned per year
p = Personal Allowance
11
12
13
14
15
A caterer earns £1375 per month.
Answers
Answer:
The gravitational force acting between the two bodies is given by:
F=G
r
2
m
1
m
2
G=
m
1
m
2
Fr
2
The dimension of the force is [MLT
−2
]
=
[M][M]
[MLT
−2
][L
2
]
=M
−1
L
3
T
−2
Which number line and expression show how to find the distance from -4 to -1
Answers
Answer:
C
Step-by-step explanation:
because i said
Which of the following Venn diagram represents two sets with no common elements?
Answers
The Venn Diagram B, C and D, all represents two sets with common elements.
In B, the circle F is inside the circle G, so F share all of its elements with G. It is like a baby inside the belly of her mother :)
In C, F and G circles intersect and the intersection is their common space, and
the D is like the B.
But A reprents two sets F and G with no common elements. So the answer is A.
Good Luck
evaluate the expression 5+3
some one answer me with a question not a link
Answers
Answer:
8
Step-by-step explanation:
Add 5 and 3
-Lexi
a car travels at 56 km per hour find the time it takes to travel 300 metres give your answer in seconds correct to the nearest second
Answers
1km = 1000 m , thus 56km = 56000 m
1hr = 60 mins
1min = 60 secs, therefore 60 mins = 60*60 seconds = 3600 seconds = 1hr
so then, we know the car travels 56000 meters in 3600 secs, how many seconds will that be for 300 meters?
[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 56000&3600\\ 300&x \end{array}\implies \cfrac{56000}{300}=\cfrac{3600}{x}\implies \cfrac{560}{3}=\cfrac{3600}{x} \implies 560x=10800 \\\\\\ x = \cfrac{10800}{560}\implies x = \cfrac{135}{7}\implies x \approx 19.286\implies \stackrel{\textit{rounded up}}{x = 19}[/tex]
Find the measure of
Answers
Answer:
64
Step-by-step explanation:
360-115-129=116 (the sum of exterior angles of triangle is 360)
180-116=64
A large Internet provider conducted a survey of its customers. One question that it asked was how many e-mail messages the respondent had received the previous day. The mean number was 13.2. A. What is the research question of interest for this survey
Answers
Answer:
Glee
Step-by-step explanation:
Solve this system using the substitution method: 9x – 2y = 4; 3x – 5 = y
Answers
If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle
Answers
If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle
Answer:
if it has two equal sides the triangle is isosceles by definition
Definition of
Isosceles Triangle
A triangle with two equal sides.
The angles opposite the equal sides are also equal.
How do I do i’m not sure
Answers
[tex](a)\\\\m=6.1\times 10^{-5},~~ t=1.7 \times 10^{-6} \\G = \sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{6.1\times 10^{-5}}{\left(1.7 \times 10^{-6}\right)^2} } ~=4590\\\\\\(b)\\\\m=6.1\times 10^{-5}(1+ 8\%) = 6.1\times 10^{-5}(1+0.08) = 0.0000648\\\\t=1.7\times 10^{-6}(1+ 5\%)= 1.7\times 10^{-6}(1+0.05) =0.000001785\\\\\\G=\sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{0.0000648}{(0.000001785)^2}}=4510[/tex]
I need help I been here all day trying to solve this I'm good I reading not math
Answers
32,760 is the answer!!
HEY IF YOURE SEEING THIS IM IN DIRE NEED OF YOU SOLVING NUMBER 4!!
Answers
Answer:
(1, -3) (2, -1) (3, 1)
Step-by-step explanation:
if seconds=x and degrees celsius=y, the points are (1, -3) (2, -1) (3, 1). to graph, plot the points on a graph. (ordered pairs are written as x,y)
Simplify this equation
Answers
Answer:
6x²y³
Step-by-step explanation:
Answer:
6x²y³
Step-by-step explanation:
Which value of x would make the following matrix singular?
5 x
3 6
Answers
Answer: 10
Explanation:
(30)-(30)= 0
Singular matrices must equal 0
(Correct on my quiz)
The value of x would make the following matrix singular is 10
Matrices of a functionFor a matrix to be singular, the determinant of the matrix must be zero.
For the given 2 by 2 matrix, for the matrix to be a singular matrix then, its determinant must be zero as shown;
(5* 6) - (3 * x) = 0
30 - 3x = 0
3x = 30
x = 10
Hence the value of x would make the following matrix singular is 10
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Two of the angles in a triangle measure 58 degrees and 25 degrees. What must be the measure of the third angle?
Answers
97 degrees
add up the two and subtract by 180
find thr value of a and b
Answers
Answer: a) 250
b) I don’t understand
Step-by-step explanation: I’m not sure if it’s correct or not
Step-by-step explanation:
a⟩. a = (5x²)/2 = {5(10)²}/2 = {5(10*10)}/2 = {5(100)}/2 = 500/2 = 250Ans.
b⟩. b = {2x²(x - 5)}/10x = [2(10)²{10²-5}]/10(10)² = [2(10*10){10*10 - 5}]/10(10*10) = [2(100){100 - 5}/10(100) = [200 {95}]/1000 = 19000/1000 = 19 Ans.
Hope this helps!!
Caroline opens a savings account at her local
bank. She plans to put of her net paycheck
10
in her savings account every week. In June, her
paychecks are $164.69, $177.86, $187.74,
and $163.04. How much money did Caroline
put in her savings account in June?
Answers
Answer:
So she has $50–$43.85 = $6.15 in her pocket and $25 in her savings account
Step-by-step explanation:
consider the line y= -9x + 5
Answers
Answer:
x= 5/9
Step-by-step explanation:
y=-9x+5
0=-9x+5
9x=5
x=5/9
Leah can build a brick wall in 7 hours, while her apprentice can do the job in 10 hours. How long does it take for them to build a wall together
Answers
Answer:
70/17 hours or 4 2/17 hours
Step-by-step explanation:
The equation we use is 1/7 + 1/10 = 1/x, x being the time it took them together to build. x works out to 70/17 hours
Leah and her apprentice can build the wall together in 4 2/17 hours
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Hours required by Leah to build a wall = 7 hours
So , Leah builds ( 1/7 )th of the wall per hour
Hours required by apprentice to build a wall = 10 hours
So , Apprentice builds ( 1/10 )th of the wall per hour
When they are both building the wall together , they build
( 1/7 )th + ( 1/10 )th of the wall together per hour = 1 / x
Therefore , the equation will be
1/x = 1/7 + 1/10
1/x = 17 / 70
Taking reciprocal on both sides , we get
x = 70/17
x = 4 2/17 hours
Hence , Leah and her apprentice can build a wall together in 4 2/17 hours
To learn more about Equations click :
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Does anyone know this?
Answers
Answer:
i think c or b I D K
Step-by-step explanation:
pls help me i will mark you brilliant
Answers
2. a) 3 days.
b) 1 hour.
3. a) 20 km
b) 1200 l
Secondary succession occurs following triggers such as logging, mining, wildfires, or
drought. The presence of soil nutrients allows for a faster recovery.
Hardwood trees
Pine trees
Perennials
and
grasses
Shrubs
Answers
Answer:7777
Step-by-step explanation:
Which is an x-intercept of the graph of the
Answers
Answer:
(5π/8, 0)
Step-by-step explanation:
x intercept occurs when y = 0
0 = tan(x - 5π/8)
as tan0 = 0
x - 5π/8 = 0
x = 5π/8
Help help help please 2 more questions please please
Answers
it is first dilated by 4 and then reflected across the y-axis
Please I did help with this
Answers
Answer:
13.1
Step-by-step explanation:
Find set A′ ∩ B′
U={a, b, c, d, e, f, g}
A={b, c, e, g}
Answers
Answer:
i dont know
Step-by-step explanation:
i dont know
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2333 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 157 232 Boot Camp 259 258 Boxing 282 215 Spinning 161 235 Yoga 271 263
Answers
The likelihood that a class attendee is a non-member of the gym taking a barre class or a member of the gym taking a boot camp class is 0.009.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The marketing team has gathered data from a random month, in which there were 2039 class attendees.
The probability that a class attendee is a non-member of the gym and is attending a barre class
= 185/2039
= 0.09
The probability that a class attendee is a member of the gym and is attending a boot camp class
= 204/2039
= 0.10004
The probability for both the event would be
= 0.09 x 0.10004
= 0.009
The complete question is attached with the answer below.
Learn more about probability here;
brainly.com/question/11234923
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