Answers
Answer:
Solution given
Cos[tex]\displaystyle \theta_{1}=\frac{13}{15}[/tex]
consider Pythagorean theorem
[tex]\bold{Sin²\theta+Cos²\theta=1}[/tex]
Subtracting [tex]Cos²\theta[/tex]both side
[tex]\displaystyle Sin²\theta=1-Cos²\theta[/tex]
doing square root on both side we get
[tex]Sin\theta=\sqrt{1-Cos²\theta}[/tex]
Similarly
[tex]Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}[/tex]
Substituting value of [tex]Cos\theta_{1}[/tex]
we get
[tex]Sin\theta_{1}=\sqrt{1-(\frac{-13}{15})²}[/tex]
Solving numerical
[tex]Sin\theta_{1}=\sqrt{1-(\frac{169}{225})}[/tex]
[tex]Sin\theta_{1}=\sqrt{\frac{56}{225}}[/tex]
[tex]Sin\theta_{1}=\frac{\sqrt{56}}{\sqrt{225}}[/tex]
[tex]Sin\theta_{1}=\frac{\sqrt{2*2*14}}{\sqrt{15*15}}[/tex]
[tex]Sin\theta_{1}=\frac{2\sqrt{14}}{15}[/tex]
Since
In III quadrant sin angle is negative
[tex]\bold{Sin\theta_{1}=-\frac{2\sqrt{14}}{15}}[/tex]Answer:
- 2√14/15Step-by-step explanation:
In the quadrant III both the sine and cosine get negative value.
Use the identity:
sin²θ + cos²θ = 1And consider negative value as mentioned above:
sinθ = - √(1 - cos²θ) sinθ = - √(1 - (-13/15)²) sinθ = - √(1 - 169/225)sinθ = - √(56/225)sinθ = - 2√14/15Related Questions
THE WHOLE THING ALL OF IT PLEASE I WILL MAKE U BRAINLIEST!!
Answers
Answer:
3x+8=17 2x+8=2(x+4) x+4=x-4
3x=17-8 2x+8=2x+8 No solution
3x/3=9/3 All Real numbers
x= 3
infinitely many solution
Q2) It means this equation has no answer to it and no solution
Q3) x+ 4=x-4 has no solution
Q4) It means that it has many answers to it and many steps to it to get the answer
Q5) By doing the answer for example 3x+9=17 it has many solutions and we can get the answer by
Two different floor plans are being offered in a new housing development. Several prospective buyers from three different age groups were surveyed about which plan they preferred. Find the probability that a randomly selected buyer preferred Plan A or was in the 40- to 49-year-old age group.
Answers
Answer:
0.677
Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.
Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.
We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.
An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.
Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.
The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677
What is the equation of the line.
Answers
Answer:
y = 1/2x - 1
slope = 1/2
y-intercept is
(0,-1)
Write the fraction as a decimal
Round to the nearest hundredth
8
11
[?] is i think 0.73 or 0.73/1. or 73/100
Answers
Answer: It is 0.73 my friend. Very good work.
Step-by-step explanation:
can someone please help with this???
Answers
Answer: Associative property
Answer:
yes
Step-by-step explanation:
its D
The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?
Answers
Answer:
jjjjStep-by-step explanation:
I need help in math homework
Answers
Plz help me, i need this done 2 get my phone back
Answers
Answer:
Step-by-step explanation:
4x = 3yz^2
4x/3y = z^2
To undo an exponent you root it.
[tex]\sqrt{4x/3y} = z[/tex]
I believe this is it. you basically just have to divide by the numbers to get z by itself. If you have any questions please comment.
Maya ate breakfast and wanted to leave her waitress a 15% tip. Her meal cost
$7.50. How much money should Maya leave for the TIP?
Answers
Answer:
$1.13
Step-by-step explanation:
You multiply 0.15*7.5, and you get 1.125, which you add up to $1.13
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 2x â€" 24. â€"4, â€"3, 2, 3, 4 Which are actual roots of f(x)?.
Answers
Rational root theorems are used to determine the potential roots of a polynomial function
The actual roots are 3 and -4The potential roots are [tex]\pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]The function is given as:
[tex]f(x) = 2x^2 + 2x - 24[/tex]
Expand
[tex]f(x) = 2x^2 + 8x - 6x - 24[/tex]
Expand
[tex]f(x) = 2x(x + 4) - 6(x + 4)[/tex]
Factor out x + 4
[tex]f(x) = (2x -6)(x + 4)[/tex]
Set to 0
[tex](2x -6)(x + 4) = 0[/tex]
Split
[tex](2x -6) = 0\ or\ (x + 4) = 0[/tex]
Make x the subject in both cases
[tex]2x = 6\ or\ x= -4[/tex]
Solve for x
[tex]x = 3\ or\ x= -4[/tex]
So, the actual roots are 3 and -4
Recall that, the function is:
[tex]f(x) = 2x^2 + 2x - 24[/tex]
For a function,
[tex]f(x) = px^n + ax^{n-1} +.......+q[/tex]
According to rational root theorem, the roots of f(x) are:
[tex]Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
The roots of 24 are:
[tex]24 = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]
The roots of 2 are:
[tex]2 = \pm1, \pm2[/tex]
So, the possible roots are:
[tex]Roots = \frac{\pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24}{\pm 1, \pm 2}[/tex]
This gives:
[tex]Roots = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24,\pm0.5, \pm1, \pm 1.5, \pm 2, \pm 3, \pm 4, \pm6\pm 12[/tex]
Remove repetitions
[tex]Roots = \pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]
Read more about rational root theorem at:
https://brainly.com/question/11015301
3 and -4 dudes and dudettes
edg2022
round 6.073 to 2 decimal places
Answers
Answer:
6.07
Step-by-step explanation:
6.073 rounded to two decimal places is 6.07. Hope this helps.
the answer to the question is 6.07
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answers
Answer:
Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
Part B:
P''(-1, 0)
Q''(0, -1)
R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are not congruent.
how many solutions does x squared= 4x -5 have
Answers
Answer: There are no solutions
Answer:
Two
Step-by-step explanation:
x^2 = 4x - 5 is equivalent to x^2 - 4x + 5 = 0 in standard quadratic form.
All quadratics have exactly two roots/solutions.
In this case the coefficients of the polynomial are 1, -4 and 5, and so the discriminant is b^2 - 4ac, or (-4)^2 - 4(1)(5), or 16 - 20 = -4.
Since the discriminant is negative, we conclude that this polynomial has two complex roots/solutions.
I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP
Answers
What do you mean? What’s the question?
Answer:
Unknown
Step-by-step explanation:
Question, not provided.
Fabric length: 3 7/8 yd.
Cost per yard: $9.25
Total cost (rounded to the nearest cent): ?
A. $27.75
B. $34.96
C. $36.84
D. $35.84
Answers
4/8 = 9.25/2 = 4.6 so 27.75+ 4.6 equals 32.37 (so I’ve only done 4/8 so far but it states it’s 7/8 so we’re gonna go ahead and add 2/8 of it more so that it’s 6/8) therefore we know 4/8 is 4.6 we’ll divide that by 2 to get 2/8 and that would be 2.3 so 32.37 + 2.3 equals 34.67 Nd we do the same again with the remainder additional 1/8 since we know 2/8 is 2.3 then we divide it by two that would 1.15 so 34.67+ 1.15 equals 35.81 and the closest answer is D
What is the relationship between 0.04 and 0.004?
Answers
Answer: 0.04 is exactly 10 times as much as 0.004. If we multiply 0.004 by 10, we will get 0.04 as an answer. In other words, we can say that 0.004 is exactly 1/10th of 0.04. It means that if we divide 0.04 by 10, we will get 0.004 as an answer.
Answer:
Look below
Step-by-step explanation:
0.04 means 4 hundredths since if you divide 4 by 100 you get 0.04. You can try it yourself on a calculator. 0.004 is 4 thousandths. Same thing with 0.04, if you divide 4 by 1000 you will get 0.004. Hope this helps! If you want me to explain a bit more I can try
Please help me!!!! Thank you
Answers
[tex]\huge \rm༆ Answer ༄[/tex]
In the given question, the two sides of the given triangles are parallel, so the the two corresponding angles of the Triangles are equal to one another.
Therefore, the Triangles are similar by AA similarity criteria ~
And since they are similar, the ratio of sides of one Triangle will be equal to ratio of corresponding sides of the other Triangle.
that is ~
[tex] \sf \dfrac{5}{7} = \dfrac{5 + 6}{y} [/tex][tex] \sf y = 11 \times \dfrac{7}{5} [/tex][tex] \sf y = \dfrac{77}{5} [/tex][tex] \sf y = 15.4[/tex]Hence, value of l = 15.4 units ~
A barrel contained 100 gallons of water. Water leaked out of the barrel at a rate of 4 gallons every
5 days. At this rate, how many days did it take for all 100 gallons of water to leak out of the
barrel?
H 20 days
E 125 days
F 25 days
L 80 days
Answers
Answer: It will take 125 day
Step-by-step explanation: 100 divide by 4 = 25 and 25 x 5 = 125
Help is needed for both of these. Please and thank u!
Answers
Answer:
1. x = 15° | y = 120°2. x = 4.5 | y = 60°Step-by-step explanation:
1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
[tex]4x + 4x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} \\ x = {15}^{o} \\ [/tex]
4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )
[tex]4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\ {120}^{o} = y[/tex]
2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
[tex]y + 60 + 60 = 180 \\ y + 120 = 180 \\ y = 180 - 120 \\ y = {60}^{o} \\ [/tex]
All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.
Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )
[tex]54 = 4x + 4x + 4x \\ 54 = 12x \\ \frac{54}{12} = x \\ x = 4.5[/tex]
28-(3x+4)=2(x+6)+x In Distributive property please.
Answers
Answer:
X=4
Step-by-step explanation:
28−(3x+4)=2(x+6)+x
28+−1(3x+4)=2(x+6)+x(Distribute the Negative Sign)
28+−1(3x)+(−1)(4)=2(x+6)+x
28+−3x+−4=2(x+6)+x
28+−3x+−4=(2)(x)+(2)(6)+x(Distribute)
28+−3x+−4=2x+12+x
(−3x)+(28+−4)=(2x+x)+(12)(Combine Like Terms)
−3x+24=3x+12
−3x+24=3x+12
Step 2: Subtract 3x from both sides.
−3x+24−3x=3x+12−3x
−6x+24=12
Step 3: Subtract 24 from both sides.
−6x+24−24=12−24
−6x=−12
Step 4: Divide both sides by -6.
−6x
−6
=
−12
−6
x=2
Answer:
x = 2
Step-by-step explanation:
28 - 3x + 4 = 2x + 12 + x
24 - 3x = 3x + 12
+ 3x +3x
24 = 6x + 12
-12 -12
12 = 6x
x = 2
what is 36×82×58+38?
Answers
Answer:
171,254
Step-by-step explanation:
calculate it
------------------------
Hey y’all can u please give me the correct answer.
Answers
Step-by-step explanation:
-8 - 6x < 1
Bringing like terms on one side
-6x < 1 + 8
-6x < 9
x < 9/-6
x < 3/-2
I think the correct answer is none
Initial value of 100 increasing at a rate of 5%
Answers
Step-by-step explanation:
105 is now total final value
Answer:
105..................
What's the formula for the area of a triangle?
Answers
Answer:
A=hb/2
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2. Find the area of a triangle where height = 5 cm and width = 8 cm. A triangle is always half the area of a rectangle with the same height and width.
Hey there!
“ What's the formula for the area of a triangle?”
The area of triangle formula is:
A = hbB/2
Whereas “hb” is your “height base” & “b” is your “base”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Side note:
You can look at the question for an example of what the area of a triangle is
6. Solve each equation by graphing. Round to the nearest tenth.
x2 - 6x= -8
Answers
The answer is for this question is A
solve pls brainliest
Answers
Answer:
$30
Step-by-step explanation:
Over 5 years she will have been paid $30 in interest. To find the amount of interest first find the total amount the account has after 5 years. The formula for simple interest is A=P(1+rt). Where A is the total amount, P is the principal (initial amount), r is the rate in decimal form, and t is the time in years.
Plug in the values to solve, A=200(1+0.03*5). Then, simplify to get A=230. Finally, to get only the interest, I, use the formula A-P=I. So, 230-200=30. Therefore, the interest Leila earned was 30 dollars.
Two families go ice skating one day. The first family spends $25 on skate rentals for 5 kids and 2 adults. The second family spends $14 in skate rentals for 3 kids and 1 adult. How much do each child's skate rental (x) and each adult's skate rental (y) cost?
Answers
Answer: x = 3 and y = 5
Step-by-step explanation:
In which situation would you most likely factor out -1 from a trinomial?
A. When the coefficient of x is negative
B. When the constant term is negative
C. When the coefficient of x^2 is negative
Answers
Answer:
when the coefficient of x^2 is negative
Step-by-step explanation:
Which of these equals 2.427? Select all that apply. A 1.34 + 1.087 B 1.4 + 1.027 C 8.35 - 5.923 - D 6 - 3.573. Please help I'm doing my homework
Answers
Answer:
All of them are equal to 2.427
Step-by-step explanation:
A = 2.427
B = 2.427
C = 2.427
D = 2.427
does anyone know the answer
Answers
Answer: C. Distributive Property
Step-by-step explanation: To simplify this expression, you would multiply 6 by y and 2.
