Answers
Answer:
Option (3)
Step-by-step explanation:
[tex]\text{tan}(\frac{\theta}{2})=\text{sin}\theta[/tex]
[tex]\text{tan}(\frac{\theta}{2})=2\text{sin}{\frac{\theta}{2}} \text{cos}(\frac{\theta}{2})[/tex]
[tex]\frac{\text{sin}\frac{\theta}{2}}{\text{cos}\frac{\theta}{2}} =2\text{sin}{\frac{\theta}{2}}\text{cos}(\frac{\theta}{2})[/tex]
[tex]\text{sin\frac{\theta}{2}}=2\text{sin}{\frac{\theta}{2}}\text{cos}^2(\frac{\theta}{2})[/tex][tex]\text{sin\frac{\theta}{2}}=2\text{sin}{\frac{\theta}{2}}\text{cos}^2(\frac{\theta}{2})[/tex][tex]\text{sin}\frac{\theta}{2}=2\text{sin}{(\frac{\theta}{2})}\text{cos}^2(\frac{\theta}{2})[/tex]
[tex]\text{sin}\frac{\theta}{2}-2\text{sin}{(\frac{\theta}{2})}\text{cos}^2(\frac{\theta}{2})=0[/tex]
[tex]\text{sin}\frac{\theta}{2}[1-2\text{cos}^2(\frac{\theta}{2})]=0[/tex]
[tex]\text{sin}\frac{\theta}{2}=0[/tex] ⇒ [tex]\theta=0[/tex]
[tex]1-2\text{cos}^2(\frac{\theta}{2})=0[/tex]
[tex]\text{cos}(\frac{\theta}{2})=\frac{1}{\sqrt{2}}[/tex]
[tex]\frac{\theta}{2}=\frac{\pi}{4}[/tex]
[tex]\theta=\frac{\pi}{2}[/tex]
Therefore, θ = 0 and [tex]\frac{\pi}{2}[/tex] are the solutions.
Option (3) will be the answer.
Related Questions
help please!! FACTOR IT
Answers
Answer:
1. Subtract 18 from both sides to get the equation set to 0:
x2 + 7x - 18 = 0
Now factor. Given the negative sign in front of the 18, you will have (x + ) (x - ) as your factors, with the larger one being positive. Now, which factors of 18 can be combined to get a result of 7? I'll leave that for you.
2- 2.3 Solve : p-7 = 0
Add 7 to both sides of the equation :
p = 7
3-Final result :
(m - 1) • (m - 8)
4-Step by step solution :
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring x2-16x+63
The first term is, x2 its coefficient is 1 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is +63
Step-1 : Multiply the coefficient of the first term by the constant 1 • 63 = 63
Step-2 : Find two factors of 63 whose sum equals the coefficient of the middle term, which is -16 .
-63 + -1 = -64
-21 + -3 = -24
-9 + -7 = -16 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -7
x2 - 9x - 7x - 63
Three law firms are looking for new lawyers. There are 75 graduate students in the area. There are only 15 graduates leaving the area for work. There are 15 with a bar exam score of 257 or less. About 19 have a score of 263 and 29 with a score of 264−269. Only 12 have a bar exam score of 270 or higher. The top law firm will only consider graduates with a bar exam score of at least 270. How many graduates are looking to work in the current area?
Answers
Answer:
60
Step-by-step explanation:
75-15=60
Help me here i’ll mark you brainliest❤️
Answers
Answer:1 black 4 white
Step-by-step explanation:
It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3
So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3
8
MZDEF=122
What are mZFEG and mZHEG?
Each angle measure is in degrees.
D
G
H
А
B
mZFEG = 122, mZHEG= 58
mZFEG - 58, mZHEG - 132
mZFEG= 68, mZHEG = 122
mZFEG = 58, m_HEG = 122
С
D
Answers
Answer/Step-by-step explanation:
8. m<DEF = 122°
m<FEG + m<DEF = 180° (Angles on a straight line)
m<FEG + 122 = 180 (Substitution)
m<FEG = 180 - 122
m<FEG = 58°
9. m<BOC = 27°
m<AOC = 47°
m<AOB + m<BOC = m<AOC (angle addition postulate)
m<AOB + 27 = 47 (substitution)
m<AOB = 47 - 27 (Subtraction property of equality)
m<AOB = 20°
pls help
20 divided by 2,311
Answers
Answer:
20/2311 = 0.00865426222
How much will $4800 deposited in an account earning 3% interest compounded annually be worth in 15 years?
Answers
Answer:
6,476.90 i think
Step-by-step explanation:
What is the value of the expression shown below?
3 over 5 to the power of 2 + 4 × 3 − 2
Answers
Answer:
16 If you see me
Step-by-step explanation:
Please help geometry and triangles!!!
Answers
Answer:
For 6, iT would be 26
Step-by-step explanation:
Which values are solutions To the inequality below check all that apply
Answers
Answer:
6 and -5
Step-by-step explanation:
6x6=36
-5x-5=25
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type a whole number.)
A. 789÷67=
B. 789÷67=? R ?
In The answer B the reason why i put an R is because they might ask for a remainder. And plz take ur time on this i'm in no rush and plz try on this don't just be here for points hope you have an wonderful day and stay safe. <3
Answers
Answer:
11.7
Step-by-step explanation:
Answer:
What about the wink face?
Step-by-step explanation:
Answer asap question The ratio of two side lengths for the triangle is given.Solve for the variable.
Answers
Answer:
x = 15.
Step-by-step explanation:
3/5 = x/25
5x = 75
x = 15.
Students in Mr. Hill’s class were asked how many TV shows they watched last weekend. The results are shown on the line plot. Which statement about the number of TV shows watched is accurate? Half of the students watched fewer than two TV shows. More than half of the students watched three or more TV shows. Fewer than one-quarter of the students watched five or more TV shows. Half of the students watched fewer than two shows or more than five shows.
Answers
AnswerNot A. Or B.
Step-by-step explanation:
A-Half of the students watched fewer than two TV shows.
A- is wrong
B-More than half of the students watched three or more TV shows.
B- is wrong
It is either C. Or D.
Answer:
its D on the Edge Test
Step-by-step explanation:
Have an amazing day :)
Franco wants to buy a mini drone for $40. If he has $16, what percent of the cost of the drone does he have?
Answers
Answer:
He has 40 percent of the cost of the drone
Step-by-step explanation:
16/40×100/1=40%
5(7+f+2x) PLEASE HELP.
Answers
Answer:
5f+10x+35
Step-by-step explanation:
5(7+f+2x)
=(5)(7+f+2x)
=(5)(7)+(5)(f)+(5)(2x)
=35+5f+10x
=5f+10x+35
lol college stuff looks hard:o
(2x + 3), find the other expression.
M
a) The product of two algebraic expressions is 4x2 - 9. If one of the expressions is
Answers
Answer:
2x-3
Step-by-step explanation:
(a+b)(a-b) = a² - b²
(2x+3)(2x-3) = (2x)² - (3)² = 4x²-9
If a salesman had 3 dimes to make a $3.05 phone calls , how many quarters would he needs to add to the dimes to make the call using exact change
Answers
Answer:
he would need 11 quarters.
Step-by-step explanation:
you already have 3 dimes which is $0.30 and 11 quarters is $2.75.
GET 5 STARS, THANKS, AND BRAILIEST!!!
Solve by elimination:
-3x + 3y = 3
-5x + y = 13
Group of answer choices
(3 , 2)
(2 , 3)
(-3 , -2)
(3 , -2)
Answers
Answer:
C. (-3 , -2)
Step-by-step explanation:I double checked on math.way
Hope this helps
Solve the following equation for y. Y= 2y+4y-3=27
Answers
Answer:
[tex] 2y + 4y - 3 = 27 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6y = 27 + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6y = 30 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = \frac{30}{6} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 5[/tex]
I rlly need this now, show work pls :((
Answers
Answer:
1. y=-x-3 2.y=1/3x-4
Step-by-step explanation:
1. 3x+3y=-9
3y=-3x-9
y=-x-3
2. x-3y=12
-3y=-x+12
y=1/3x-4
Parmesan cheese was on sale for $13.60 per pound. Wesley bought a piece of parmesan cheese that weighed 1 ⅛ pounds
how much did he pay and if you can explain
Answers
Answer:
Step-by-step explanation:
Given Parmesan cheese was on sale for $13.60 per pound
Welsey bought a piece of the parmesan cheese that weighted \frac{11}{8} pounds
we need to spend$13.60 for 1 pound
for 11/8 pound
11/8 x 13.60= 18.72
So Wesley need to spend $18.70 to get the Parmesan cheese.
a gardener wants to build a rectangular fence for his prize winning roses. the length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. what are the possible dimensions.
Answers
Answer:
i. 6 feet by 3 feet
ii. 7 feet by 2 feet
iii. 8 feet by 1 feet
Step-by-step explanation:
From the given question, we have;
length of the rectangular fence, l = 6 feet
perimeter of the rectangular fence = 18 feet
Let the width of the rectangular fence be represented by w.
So that,
Perimeter of a rectangle= 2(length + width)
18 = 2(6 + w)
18 = 12 + 2w
18 - 12 = 2w
6 = 2w
w = [tex]\frac{6}{2}[/tex]
w = 3
The width of the rectangular fence would be 3 feet when the length is 6 feet.
Thus, the possible dimensions of the rectangular fence are:
i. 6 feet by 3 feet
ii. 7 feet by 2 feet
iii. 8 feet by 1 feet
Mr rosier users 3/8 tank of gas each week to get to work how much does he use in 9 weeks
Answers
Answer:
3.375 or 3 3/8 or 27/8 (all the same answer just in different forms)
Step-by-step explanation:
3/8 x 9 (or 9/1)
given: 8x-61=17, prove: 39/4
Answers
Answer:
The solution is [tex]x = \frac{39}{4}[/tex]
Step-by-step explanation:
We are given the following equation:
8x - 61 = 17
We want to find the solution, that is, the value of x. So
[tex]8x - 61 = 17[/tex]
[tex]8x = 78[/tex]
[tex]x = \frac{78}{8}[/tex]
Simplifying by 2
[tex]x = \frac{39}{4}[/tex]
The solution is [tex]x = \frac{39}{4}[/tex]
(GIVING BRAINLIEST!!)
A cake is cut into 6 equal-sized pieces. Each piece is one sixth of the whole. Choose the equation that represents this fraction.
A) 5 ÷ 6 = ________
B) 6 ÷ 5 = ________
C) 1 ÷ 6 = ________
D) 6 ÷ 1 = ________
Answers
Answer:
c is correct
Step-by-step explanation:
The equation that represents this fraction is 1 ÷ 6 =1/6. Therefore, option C is the correct answer.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, a cake is cut into 6 equal-sized pieces. Each piece is one sixth of the whole.
The equation is 1 ÷ 6 =1/6
Therefore, option C is the correct answer.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
Find the value of x in the given
right triangle.
Answers
Answer:
x = 10.6 units
Step-by-step explanation:
We can use sine to solve this since sine is opposite over hypotnuse.
sin(62) = x/12
.883 = x/12
x = .883 * 12
x = 10.6
Which statement illustrates the commutative property of addition?
A. (8i + 4) + (-8i – 4) = 0
B. (8i)- (-8i)= 0
C. 8i + 4 = 4i + 8
D. 8i + 4 = 4 + 8i
Answers
Answer:D
Step-by-step explanation:its the same thing but the numbers are flipped, you get the same answer either way.
The statement that illustrates the commutative property of addition is
8i + 4 = 4 + 8i. The correct option is D.
What is the commutative property of addition?The commutative property of addition:
Let a and b are numbers.
a + b = b + a
The change in the position of two numbers in an addition operation does not change the sum.
The commutative property of addition:
Let a and b are numbers.
So, a + b = b + a.
LHS = 8i + 4
= 2 (4i+2)
= 2(2 + 4i)
= 4 + 8i
That means, 8i + 4 = 4 + 8i holds the commutative property of addition.
Therefore, the equation is 8i + 4 = 4 + 8i.
To learn more about the commutative property;
https://brainly.com/question/778086
#SPJ2
ASAP need answer to this system of equations... ILL give brainliest to correct answers only
Answers
Answer:
(7,12),(-12,-7)
Step-by-step explanation:
x^2 + y^2 = 193
x - y = - 5
x = y - 5
(y - 5)^2 + y^2 = 193
y^2 - 10y + 25 + y^2 = 193
2y^2 - 10y + 25 = 193
2y^2 - 10y + 25 - 193 = 0
2y^2 - 10y - 168 = 0
2*(y^2 - 5y - 84) = 0 This factors into
2*( y - 12) (y + 7) = 0
y = 12
in which case x = 12 - 5 = 7
y = - 7
in which case x = -7 - 5 = - 12
2. In this polygon, which angle is an interior angle?
Answers
Answer:
Angle C
Step-by-step explanation:
Angle C is the interior angle because it is on the inside of the polygon.
Chris is making pancakes. The recipe makes four servings. the recipe calls for 3/4 cup of flour. He wants to make enough for six servings. How many cups of flour does he need?
Answers
Answer:
Step-by-step explanation:
a little over one cup
1.2500
so like 1 1/2
imagine you are picking anumber between 1 and 10 inclusive what is the probability of picking up a nuimber that is even or between 1 and 5 inclusive
Answers
Answer:
the probability would be 45% to pick a number beetween 1-5
Step-by-step explanation:
