Answers
Answer:
[tex]\theta = 0, \frac{\pi}{2}, \pi,...[/tex]
Step-by-step explanation:
[tex]sin\theta + cos \theta = 1 \\\\squaring both the sides\\\\sin^{2}\theta + cos^{2}\theta+2 sin\theta cos\theta = 1 \\\\2sin\theta cos\theta = 0 \\\\sin2\theta = 0\\\\2\theta = 0, \pi, 2 \pi,....\\\\\theta = 0, \frac{\pi}{2}, \pi,...[/tex]
This is the correct solution.
Related Questions
rs 560 in the ratio of 1:3:4
Answers
Step-by-step explanation:
see in picture .
you can find your answer
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!
Answers
In this diagram, radius AD = 5 mm, radius BD = 12 mm and chord
CD = 8 mm. Find the exact length of AB, in surd form.
Answers
Answer:
The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.
Step-by-step explanation:
Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:
[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]
If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:
[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]
[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]
Choose the correct name for the polygon.
VRUST
SRVUT
SRTUV
RSVUT
Answers
Answer:
RSVUT IS THE CORRECT ANSWER
Select the correct solution set.
-7x ≥ 56
{x | x ≥ -8}
{x | x ≤ -8}
{x | x ≥ 8}
Answers
Answer:
{x | x ≤ -8}
Step-by-step explanation:
-7x ≥ 56
Divide each side by -7, remembering to flip the inequality since we are dividing by a negative
-7x/-7 ≤ 56/-7
x ≤ -8
Because ur diving it by negative;))
Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%
Answers
Answer:
$42.50
Step-by-step explanation:
discount reduces the price of the good
discount value = 15% x 50 = 0.15 x 50 = 7.5
sales price = 50 - 7.5 = 42.50
1. The volume of the cylinder is 78 cubic cm, find the volume of the cone.
Answers
Answer:
The volume of a cylinder = 78 \mathrm{cm}^{3}78cm3
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is V=\frac{\pi r^{2} h}{3}V=3πr2h (1)
The formula for volume of a cylinder is V=\pi r^{2} hV=πr2h (2)
Substituting V=78V=78 in equation (2), we get,
\begin{gathered}\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}\end{gathered}V=πr2h78=πr2h
Given that the cone has the same radius and height of that of the cylinder, let us substitute 78=\pi r^{2} h78=πr2h in equation (1)
\begin{gathered}\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}\end{gathered}V=3πr2hV=378V=26
Thus, the volume of a cone with the same radius and height of a cylinder is 26 \mathrm{cm}^{3}26cm3 .
Answer:
26 cm^3 I hope this helps!
Step-by-step explanation:
( Picture Included )Help please, and don’t comment unnecessary things.
Answers
Answer:
Angle 1 and Angle 8 are alternate exterior angles.
Step-by-step explanation:
If this helps please mark as brainliest
Tell me answer
I will mark him or her as well done and brilliant and thank you
Answers
Answer:
(iv) 343
Step-by-step explanation:
[tex]\frac{1}{7} x = 49\\\\Multiply \ by \ 7 \ on \ both \ sides. \\\\7 \times \frac{1}{7} \times x = 49 \times 7\\\\x = 343[/tex]
Answer:
Step-by-step explanation:
1/7*x=49
x/7=49
x=49*7
x=343
Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora
Answers
Respuesta:
03:40 pm;
15: 40;
20 minutos antes de las 4 pm;
40 minutos después de las 3 pm
Explicación paso a paso:
20 minutos antes de las 4 de la tarde se pueden expresar de las siguientes formas:
Basado en un tiempo de 12 horas, podría escribirse tiene: 3: 40 pm
Usando el formato de reloj de 24 horas; donde 3 pm es equivalente a 15; por lo tanto, podría escribirse como: 15:40
Además, el tiempo se puede informar en palabras de la siguiente manera:
20 minutos antes de las 4 pm
También ;
40 minutos después de las 3 pm
answer fast and good
Answers
Answer:
4x=300
4y=400
y=100
x=75
6×75 =450
2×100=200
a=450
b=200
y for beef
x for vegetables
Erin has 5 cans of juice and drinks 13 of a can daily. In how many days will she empty all the cans she has?
Answers
Answer:
15 days
Step-by-step explanation:
Don't you mean 1/3? If so,
5 cans
-------------------- = 15 days
1/3 can/daily
which type of parent function is f(x) = 3^x?
Answers
Answer:
c
Step-by-step explanation:
because there is a 3 in front of the root it is a cubed root since
2= square- the two is invisible but its there
3= cubed
HOPE THIS HELPS!! Have a nice day
If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)?
–84
Answers
Answer:
hmm very diffecult.
Step-by-step explanation:
if f (x) = StartRoot
ITEMS
The calculator shown costs $160.00 after a discount of $40.00 was given
Calculate the cost of the calculator before the discount
Answers
Answer:
mp=160
dis=40
now,
sp=mp-dis
=Rs. 160-Rs.40
=Rs. 120
Help what does this mean please answer fast
Answers
Answer: that is a less than sign or symbol
Step-by-step explanation:
Answer: Less than or Equal to
please help will give brainlyest need help asap
Answers
Answer:
friend me on here and imma send you the link Step-by-step explanation:
A university's housing and residence office wants to know how much students pay per month for rent in off-campus housing. The university does not have enough on-campus housing for students, and this information will be used in a brochure about student housing. They obtain a list of the 12,304 students who live in off-campus housing and have not yet graduated and mail a questionnaire to 200 students selected at random. Only 78 questionairres are returned. identify the types of bias
Answers
The type of bias that is used in this study is a non-response bias.
What is a Non-Response Bias?This refers to the type of bias that is used to show the non-responsiveness of subjects in a study when they drop out or do not complete a study.
Hence, we can see that from the given narration, we can see that there is a list of the 12,304 students and from this, 200 students are selected and only 78 are returned which shows that this is a non-responsive bias.
Read more about non-response bias here:
https://brainly.com/question/14286334
#SPj2
Use distributive property and then combine like terms to write an equivalent expression for:
4(y2 + 2) + 6x - 2y3 + 12x
Answers
Answer:
−2y3+4y2+18x+8
Step-by-step explanation:
Let's simplify step-by-step.
4(y2+2)+6x−2y3+12x
Distribute:
=(4)(y2)+(4)(2)+6x+−2y3+12x
=4y2+8+6x+−2y3+12x
Combine Like Terms:
=4y2+8+6x+−2y3+12x
=(−2y3)+(4y2)+(6x+12x)+(8)
=−2y3+4y2+18x+8
What is 2000% as a fraction
Answers
Answer:
20000/10
Step-by-step explanation:
Answer:
Step-by-step explanation:
2000%=2000/100=20/1
please help! 20 points. if you guess or just comment to take points i will make sure ur account gets banned, thanks! i want a simple explanation pls
Answers
Answer: x=15
Step-by-step explanation: Since 3x+5 is equal to 50, you can write 3x+5=50, and 3x=45, x=15.
4x-6=30
i need help really bad !!!
Answers
Answer:
4x-6=30
4x=36
x=9
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
x = 9
Explanation:
Move all terms that do not contain x to the right side and solve.
Triangle ABC has vertices A(- 3, - 4), B(16, - 2) and C(13, - 10) . Show algebraically that ABC is a right angled triangle.
Answers
Given:
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
To show:
That the triangle ABC is a right angled triangle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
Using the distance formula, we get
[tex]AB=\sqrt{(16-(-3))^2+(-2-(-4))^2}[/tex]
[tex]AB=\sqrt{(19)^2+(2)^2}[/tex]
[tex]AB=\sqrt{361+4}[/tex]
[tex]AB=\sqrt{365}[/tex]
Similarly,
[tex]BC=\sqrt{\left(13-16\right)^2+\left(-10-\left(-2\right)\right)^2}[/tex]
[tex]BC=\sqrt{73}[/tex]
And,
[tex]AC=\sqrt{\left(13-\left(-3\right)\right)^2+\left(-10-\left(-4\right)\right)^2}[/tex]
[tex]AC=\sqrt{292}[/tex]
Now, add the square of two smaller sides.
[tex]BC^2+AC^2=(\sqrt{73})^2+(\sqrt{292})^2[/tex]
[tex]BC^2+AC^2=73+292[/tex]
[tex]BC^2+AC^2=365[/tex]
[tex]BC^2+AC^2=(AB)^2[/tex]
Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.
Hence proved.
is "6x – (3x + 8) = 16x" a no solution
Answers
Answer:
no x = -8/13
Step-by-step explanation:
6x – (3x + 8) = 16x
Combine like terms
6x -3x -8 = 16
3x-8 = 16
Subtract 3x from each side
3x-8-3x = 16-3x
-8 = 13x
Divide by 13
-8/13 = 13x/13
-8/13 =x
Answer:
No, the answer would be -8/13
Step-by-step explanation:
6x-(3x+8)=16x
6x-3x-8=16x
3x-16x=8
-13x=8
x=-8/13
Helpp!! Please answer both parts of the question will mark brainliest.
Answers
Answer:
Part A. x is greater than y
Part B. y is greater than x.
Step-by-step explanation:
Part A: if x=10+y, this means that x is 10 greater than y, meaning that x would be greater than y. for example, if y=5, then x=10+5, which would be 15.
Part B: if x=10-y, this means that x is 10 less than y, meaning that y is greater than x. for example, if y=9, then x=10-9, which would be 1.
Write with fractional exponents.
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]y^\frac{2}{3}[/tex]
»»————- ★ ————-««
Here’s why:
We are supposed to rewrite a radical expression as an expression with fraction exponents.⸻⸻⸻⸻
The rule for a fraction exponent is:
[tex]a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}[/tex]
⸻⸻⸻⸻
We are given the expression of [tex]\sqrt[3]{y^2}[/tex].
⸻⸻⸻⸻
[tex]\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}[/tex]
⸻⸻⸻⸻
[tex]\text{The answer should be: } \boxed{y^\frac{2}{3} }[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
the function h=-16t^2+48t represents the height h (in feet) of a kickball t seconds after it is kicked from the ground
Answers
Answer:
36 feet
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 48t[/tex]
Required
Determine the maximum height attained
First, calculate the time to reach maximum height;
In a quadratic equation;
[tex]y = ax^2 + bx + c[/tex]
The maximum is:
[tex]x = -\frac{b}{2a}[/tex]
So, we have:
[tex]t = -\frac{b}{2a}[/tex]
Where
[tex]a = -16; b = 48[/tex]
So:
[tex]t = -\frac{b}{2a}[/tex]
[tex]t = -\frac{48}{2 * -16}[/tex]
[tex]t = -\frac{48}{-32}[/tex]
[tex]t = \frac{48}{32}[/tex]
[tex]t = 1.5[/tex]
The maximum height is at: [tex]t = 1.5[/tex]
So, we have:
[tex]h(t) = -16t^2 + 48t[/tex]
[tex]h_{max}=-16 * 1.5^2 + 48 * 1.5[/tex]
[tex]h_{max}=36[/tex]
Please help me solve this ;-;
Answers
9514 1404 393
Answer:
C log3(√((x -4)/x)
Step-by-step explanation:
The applicable rules of logarithms are ...
log(a/b) = log(a) -log(b)
log(a^n) = n·log(a)
The base is irrelevant, as long as all logs are to the same base.
__
[tex]\dfrac{1}{2}(\log_3{(x-4)}-\log_3{(x)})=\dfrac{1}{2}\log_3(\dfrac{x-4}{x})=\boxed{\log_3\left(\sqrt{\dfrac{x-4}{x}}\right)}[/tex]
A population of beetles is modeled by the equation b(t) = 3,000 (2)t where t represents the number of weeks since the population was first measured?
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]b(t) = 3000 * 2^t[/tex]
The question is incomplete;
A possible question could be to calculate the initial amount of beetle
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where
[tex]a \to Initial\ amount[/tex]
By comparison:
[tex]a = 3000[/tex] --- The initial number of beetles
Another question could be to solve for f(t), after a certain number of weeks (say 3)
Substitute 3 for t in: [tex]b(t) = 3000 * 2^t[/tex]
[tex]b(3) = 3000 * 2^3[/tex]
[tex]b(3) = 3000 * 8[/tex]
[tex]b(3) = 24000[/tex]
A 5-inch candle burns down in 4 hours. How far has it burned after 7 1/2 hours?
Answers
Answer:
9 3/8 inches
Step-by-step explanation:
Inches of candle : hours it burned
= 5 inches : 4 hours
How far has it burned after 7 1/2 hours?
Let
x = how far it has burned (inches)
Inches of candle : hours it burned = x inches : 7 1/2 hours
Equate both ratios
5 inches : 4 hours = x inches : 7 1/2 hours
5/4 = x ÷ 7 1/2
5/4 = x ÷ 15/2
5/4 = x * 2/15
5/4 = 2x/15
Cross product
5 * 15 = 4 * 2x
75 = 8x
x = 75/8
x = 9 3/8 inches
x = how far it has burned (inches) = 9 3/8 inches