Answer:
[tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
Step-by-step explanation:
[tex]\frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=\frac 1{\sin \theta}-\frac 1{\text{cosec} \theta}-\cot \theta[/tex]
[tex]\Rightarrow \frac 2{\text{cosec} \theta}+2\cot \theta-\frac 2{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=0[/tex]
[tex]\Rightarrow \sin \theta -\frac 1{\sin \theta}+\frac{\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{\sin ^2\theta-1+\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{-\cos ^2\theta+\cos \theta}{\sin \theta}=0\Rightarrow\frac{\cos \theta-\cos ^2\theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \cot \theta(1-\cos \theta)=0[/tex]
[tex]\text{If} \;\;1-\cos \theta=0\Rightarrow \cos \theta=1[/tex]
[tex]\Rightarrow \theta=2n\pi\;\; \text{for all}\; n=0,1,2,.....[/tex]
[tex]\text{If} \cot \theta=0\Rightarrow \frac{\cos \theta}{\sin \theta}=0\Rightarrow \cos \theta=0[/tex]
[tex]\Righarrow \theta =\frac{\pi}2+2n\pi\;\;\text{for all}\; n=0,1,2,...[/tex]
Hence, [tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
Point G is the incenter of the triangle. Point G is the incenter of triangle E D F. Lines are drawn from each point of the triangle to point G. Lines are drawn from point G to the sides of the triangle. Angle D F G is 16 degrees. Angle G F E is (2 x) degrees. What is the value of x? 4 8 24 32
Answer:
8
Step-by-step explanation:
8
Answer:
B
Step-by-step explanation:
2x=16
16/2=8
Answer is 8
Maria babysat for 6 hours on Tuesday, 3 hours on Thursday, and 4 hours on Saturday.
If Maria is paid $6.00 per hour, how much money did she make on these three days?
Answer:
First, convert 150% to the equivalent decimal 1.50 by dropping the percent sign and moving the decimal two places to the left. Then, multiply 9 by 1.50 to get 13.50. Maria now makes $13.50 per hour.
Step-by-step explanation:
I took the test and this is the sample answer
The required earnings for Maria for the three days is $78.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Maria babysat for 6 hours on Tuesday, 3 hours on Thursday, and 4 hours on Saturday, and paid $6.00 per hour.
Total earining = 6 × 6 + 3×6 + 4× 6
Total earning = 36 + 18 + 24
Total earning = $78
Thus, the required earnings of Maria for the three days is $78.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
if 28 men can complete a work in 16 days wiil 8 men take to complete that work is it a.14 b.48 c.56 d.128
Answer:
56
Step-by-step explanation:
3. Which is the most precise measurement?
120 cm
128 cm
128.77 cm
128.8 cm
I think it is 128.77 cm. Because it has the most numbers, and it is presice.
please answer this I really need it!
Answer: 4/49 m^2
Step-by-step explanation:
Multiply
2/7 x 2/7 = 4/49
Answer: 4/49 m^2
Step-by-step explanation:
Area of a square = side X side
Side is 2/7
So, Area = (2/7)*(2/7) = 4/49 m^2
what is 1 1/3 divided by 3/5
Answer:
6.11
Step-by-step explanation:
First divide 11by 3 and 3by 5.And divide the answer of 11by 3 by 3by5
Maria wants to purchase a shirt for $30. She also wants to purchase a purse for $60. She has to pay 7.5% sales tax on her purchase. What will be the total amount Maria pays including tax.
A. $96.75
B. $6.75
C. $83.25
D. $90.00
. Una distribución de probabilidades permite organizar todos los resultados posibles de
una variable aleatoria junto con sus correspondientes probabilidades de ocurrencia.
El valor esperado E(x) de una variable aleatoria discreta se calcula multiplicando
cada valor que esta puede asumir por su probabilidad de ocurrencia y luego
sumando los productos.
La siguiente tabla muestra la distribución de probabilidades correspondiente al
tiempo (en minutos) que demora una computadora en recuperarse luego de una
falla. ¿Cuál es el tiempo más probable de espera para volver a utilizar la
computadora?
Tiempo (x) 2.0 3.0 4.0 5.0
Probabilidad P(x) 0.10 0.30 0.10 0.50
Answer:
i don't understand Spanish ._.
Step-by-step explanation:
man I wish I understand you ._.
Solve for x. Make sure to show all your work.
Answer:
x=18
Step-by-step explanation:
(6x+3)+(3x+15)=180
(6x+3x)+(3+15)=180
9x+18=180
-18 -18
9x=162
162/9
x=18
-4x+1=2x-17 What is the solution for x ?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4x + 1 = 2x - 17}[/tex]
Move 2x to left hand side and change it's sign
Similarly, move 1 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{ - 4x - 2x = - 17 - 1}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 6x = - 17 - 1}}[/tex]
The negative integers are always added but posses the negative ( - ) sign
[tex] \dashrightarrow{ \sf{ - 6x = - 18}}[/tex]
Divide both sides by -6
[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 18}{ - 6}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 3}}[/tex]
Hope I helped!
Best regards! :D
can someone pls help! is this correct?
Answer:
It's wrong
Step-by-step explanation:
Answer:yes it is correct
Step-by-step explanation:
Help please!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4x=2(x+6)
4x=2x+6
2x=6
x=3
What is the supplement of a 110 degree angle
Answer: 70 degrees
Step-by-step explanation: The supplement of an angle is the angle that has to be added to make 180°. So, the supplement of 110° is 70° because 110+70= 180.
What is the range of the function f(x) = 4x + 3 when the domain is {−3 , 2 , 4}
Hey there! I'm happy to help!
The range of a function is all of the outputs. Let's plug in our inputs and find these outputs.
4(-3)+3
-12+3
-9
4(2)+3
8+3
11
4(4)+3
12+3
15
We order these from least to greatest, giving us a range of {-9,11,15}.
Have a wonderful day! :D
In the triangle below, 21 = 35 and 23 = 100°.
1
3
What is the measure of angle 2?
Answer: Angle 2: 45°
Step-by-step explanation:
All triangles add up to 180, so all you would so is take both of those angles and subtract them from 180, so basically 180 - 135
Write the fraction 12/28 in the simplest form
Answer: 3/7
Step-by-step explanation:
Answer:
12/28 is 3 /7 is your answer
Yes I am kinda dumb lol
Answer:
I think it is A
Step-by-step explanation:
just trying to help
Answer: The answer is A
Step-by-step explanation: The other answers show an impossible answer. The rays cannot be crossed from A to T or C to T since they are on the other side of the ray.
( I hope this helps and I hope you understand it doesn’t make you any less smart to have difficulty with answering a question)
(I'm not 100% confident in the answer though)
5) Answer the following questions :
The total number of boys and girls in a school is 320. the
number of boys in this school is 180 find :
a) The ratio between the number of boys and that of girls.
b) The ratio between the number of boys & the total number of
pupils.
c)The ratio between the number of girls & the total number of
pupils.
Answer:
a)9:7 b) 9:16 c) 7:16
Step-by-step explanation:
the no of girls (320-180)=140
a) ratio of no of boys and girls=180/140=9/7=9:7
b)ratio of boys and total pupil=180/320=9/16=9:16
c) ratio of the girls and pupils=140/320=7/16=7:16
Answer:
a) 9:7 (9 being the boys,7 being the girls)
b)9:16 (9 being boys, 16 being the total pupils)
c)7:16 (7 being girls, 16 being the total pupils)
Step-by-step explanation:
a) No. of girls= 320-180
=140
Boys: Girls
180 : 140 [ ÷ 20]
9 : 7
b) Boys: Pupils
180 : 320 [ ÷ 20]
9 : 16
c). Girls: Pupils
140 : 320 [ ÷ 20]
7 : 16
which phrase should be inserted on the line to correctly compare the two factions 4/5 + 16/20 a is greater than B cannot be compared C is less than and D is equal to
First, let's reduce our fractions to their simplest forms.
4/5 is already in its simplest form
16/20 = 4/5.
Now that both of por fractions are in their simplest forms, let's compare them.
4/5 is equal to 4/5
D is the correct answer.
Answer: C. is less than
Step-by-step explanation: the person above me is wrong
If the salesperson made $2,500,000 in total sales, is their yearly salary $205,000? Yes or No.
(52) + (3+4i) is
O 3 +9i
O 12
O 3ti
O 92 + 3
Answer:
O 3 +9i
Step-by-step explanation:
The “Get Up” challenge set to Ciara’s song is a dance that takes about 15 seconds to perform. What percent of the full 4-minute-and-23-second song does the dance represent?
Answer:
5.70%
Step-by-step explanation:
It takes the time to perform on Ciara's song = 15 seconds
Total time given as 4 minutes 23 seconds ≈ (4×60) seconds + 23 seconds
= 240 seconds + 23 seconds
= 263 seconds
Percent of time taken to perform of the full time = [tex]\frac{\text{time taken to perform}}{\text{Total time}}\times 100[/tex]
= [tex]\frac{15}{263}\times 100[/tex]
= 5.70 %
Therefore, percent of the time taken for the performance on the full song will be 5.70%
Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilometers an hour, while a car will travel 65 miles per hour on average. Which mode of transportation will take less time? Note that 1 mi=1.6 km.
Answer:
The car
Step-by-step explanation:
Train:1mi = 1.6 km
95km = 95/1.6 = 59.375 km
95km/h = 59.375mi//h
Car65mi/h
Comparative:
65 > 59.375
then:
the car is more faster
Answer:
The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65
Step-by-step explanation:
The graph of the function B is shown below. Find B(2).
1
-1
2
Answer: 2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
Don't forget to thank and vote
9. The average of your 3 quiz grades is 24 points. Two of your quiz grades
are 30 points and 22 points. Write and solve and solve an equation to find
the third quiz grade. Please include both the equation and the answer.
Plz help!!!
Answer: x = 24 (x represents the 3rd quiz grade)
Step-by-step explanation:
Which of the following is equivalent to 3⁴? 1. 12 2. 81 3. 7 4. 64
Answer:
81
Step-by-step explanation:
why is knowing math so important
Math is used to help calculate certain things such as taxes and such, but they are mostly important for jobs since certain jobs require knowledge of math. Jobs such as working in a branch of engineer, architecture, etc.
what is 0.72 bar as a fraction
Answer:
0.72 is the same as 72100 (try putting both into a calculator!) as you can view 1.00 as 11 . Reducing the fraction gives you 72100 = 1825 .
Find point A ( x, y ) if point B is ( 6 , 10 ) and the midpoint between A and B is ( -4,5)
Answer:
(14,0)
Step-by-step explanation:
slope 10/5 or 2
which set of angles shares rayAF as a common side?