Answer:
Sin 3A = 1
cos 3A = 0
tan 3 A = undefined
Step-by-step explanation:
[tex]\sin A = \frac{1}{2} \\ \therefore \: \sin A = \sin \: 30 \degree.. \bigg( \because \: \sin \: 30 \degree = \frac{1}{2} \bigg) \\ \therefore \: A = 30 \degree \\ \\ now \\ \sin 3A =\sin (3 \times 30 \degree)= \sin \: 90 \degree = 1 \\ \\ \cos 3A =\cos (3 \times 30 \degree)= \cos \: 90 \degree = 0\\\\ \tan 3A =\tan (3 \times 30 \degree)= \tan \: 90 \degree = \infty [/tex]
What are the x-intercepts
1. (x - 12) (x + 6) = 0
( x - 12 ) ( x + 6 ) = 0
x - 12 = 0 and x + 6 = 0
x = 12 and x = -6
Answer:
[tex]x=12,\:x=-6[/tex] are your x intercepts
Step-by-step explanation:
[tex]\left(x-12\right)\left(x+6\right)=0\\\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\mathrm{Solve\:}\:x-12=0:\quad x=12\\x-12=0\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\x-12+12=0+12\\Simplify\\x=12\\\mathrm{Solve\:}\:x+6=0:\quad x=-6\\x+6=0\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=0-6\\Simplify\\x=-6\\The\:solutions\:to\:the\:quadratic\:equation\:are:\\x=12,\:x=-6[/tex]
Pleease helpthis is my final exam
I want the answer of second question
Answer:
7
Step-by-step explanation:
as it does that F thing where its equal to it....
Answer:
I wont answer for you, but ill guide you in the right direction
Step-by-step explanation:
how to factor 5r^2+10r-240
Answer:
5 ( r+8) (r-6)
Step-by-step explanation:
5r^2+10r-240
First factor out the greatest common factor
5( r^2 +2r - 48)
Now factor what is inside the parentheses
What multiplies to -48 and adds to 2
8*-6 = -48
8-6 = 2
5 ( r+8) (r-6)
Please help me it is only 1 question please help me I have no idea about this
Answer:
53
Step-by-step explanation:
Answer:
(540 - π60 cm²) or 350cm³(351.5)
Step-by-step explanation:
You'll have to subtract the volume of the rectangular prism with the cylinder.
We know that the prism's volume is V = s*s*h = 6*6*16 = 540 cm²
We also know the cylinder's volume: V = πr²h = π(4/2)²*15 = π*4*15 = π*60
Now the only step remaining is to subtract the volume of the prism with the cylinder: 540 - π*60 cm³
540 - π*60 cm³ is the full answer
350 is the approximate answer (rounded it down from 351.5 to 350cm³)
Last question! I need help with showing my work! I already have the answer in the attached image below, thanks!
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\sqrt{\frac{4x^2}{3y} }[/tex]
= [tex]\frac{\sqrt{4x^2} }{\sqrt{3y} }[/tex]
= [tex]\frac{2x}{\sqrt{3y} }[/tex]
Rationalise the denominator by multiplying the numerator/ denominator by [tex]\sqrt{3y}[/tex]
Note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
= [tex]\frac{2x}{\sqrt{3y} }[/tex] × [tex]\frac{\sqrt{3y} }{\sqrt{3y} }[/tex]
= [tex]\frac{2x\sqrt{3y} }{3y}[/tex]
PLEASE HELP
CDEF is a kite and mFCE =39. Find m1
A.102
B.39
C.78
Answer: 39
Step-by-step explanation:
Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.
Then:
m1 = 39
You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021
Answer:
$91,500
Step-by-step explanation:
The land appreciates 5% of 30k which is $1,500 and multiply that by 61
The approximate value of the land in 2021 will be $588,394.356.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Value of the land in 1960 = $30,000
Each year, the value is increasing approximately 5 % = 5/100 = 0.05.
Value of the land in 1961 = 30,000 + (30,000 × 0.05)
= 30,000 (1 + 0.05)
= 30,000 × 1.05
Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)
= (30,000 × 1.05) (1 + 0.05)
= (30,000 × 1.05) (1.05)
= 30,000 × (1.05)²
So each year previous value is multiplied with 1.05.
Value of the land after n years = 30,000 × (1.05)ⁿ
Value of the land after 61 years = 30,000 × (1.05)⁶¹
= 588,394.356
Hence the approximate value of the land in 2021 is $588,394.356.
Learn more about Multiplication here :
https://brainly.com/question/14332252
#SPJ2
(WILL MARK BRAINLIEST FOR THE FIRST TO ANSWER) The square of a number is equal to two less than three times the number. What are two possible values of the number?
A. 1,2
B. -1,2
C. 1,-2
D. -1,-2
E. 2,3
Answer:
Option A
Step-by-step explanation:
Let us take this number as x, translating this description of the equation into mathematical language;
[tex]x^2 = 3x - 2[/tex]
Now let us solve for x;
[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]
What is the slope of the graphed line?
Answer:
The slope is 1/3
Step-by-step explanation:
Just use the rise over run method i told you about earlier.
The right point is 3 units higher and 9 units more to the right.
3/9 = 1/3.
i hope this helped :)
Mark this question as brainliest if you think it was the best answer.
This is the right answer.
Which complex fraction is equal to 2/3?
4/3/8/3
5/6/3/4
3/4/9/8
3/5/2/5
What is the product of 8/9 and 2/7
Answer:
16/63
Step-by-step explanation:
8/9 * 2/7
Multiply the numerators
8*2 = 16
Multiply the denominators
9*7 = 63
Put the numerator over the denominator
16/63
The Answer is: 16/63
You just multiply 8/9 & 16/63
Can someone please help me
Answer:jss needed point srry
Step-by-step explanation:
What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)
Answer:
Step-by-step explanation:
6--6 = 12
4-1 = 3
12/3 = 4
y=4x
-6-4 = -10
y=4x-10
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
What is an equation of a line?
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line passes through (1, -6) and (4, 6).
The formula of slope:
Slope = (d - b) / (c - a)
where (a, b) and (c, d) are the two points.
Now,
(1, -6) = (a, b) and (4, 6) = (c, d)
Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4
m = 4
The equation of a line is given as y = mx + c.
(1, -6) = (x, y)
-6 = 4 x 1 + c
-6 = 4 + c
-6 - 4 = c
c = -10
Now,
The equation of the line that passes through (1, -6) and (4, 6) is
y = 4x - 10
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
Please answer. will mark brainliest.
Answer:
See explanation
Step-by-step explanation:
Line A
gradient = 4
x-intercept = -1
y-intercept = 4
Line B
gradient = -3
x-intercept = -1
y-intercept = -3
y + 8x = - 72
x-intercept = -9
y-intercept = -72
Expand 3x(2 + 11x) please answer
Answer:
6x + 33x²
Step-by-step explanation:
3x × 2 = 6x
3x × 11x = 33x²
You are in the process of making ice cream. The recipe says heat all ingredients to 50C and cools it for 5 hours in a freezer. If the cooling rate of the freezer is 12C per hour. What will be the temperature of the mixture after 5 hours?
Answer:
-10C
Step-by-step explanation;
The mixture is 50C and the freezer cools at 12C per hour which means in 5 hours the temperature of the mixture would have decreased by 60C because 12C * 5 hrs is 60C. You then do the math;
50C - 60C = -10C
Consider the diagram. Lines a and d are?
Answer:
perpendicular
Step-by-step explanation:
They form a 90 degree angle
What is the gradient of the graph shown?
Answer:
-1/2
Because, for every one square, the line goes down by 1/2.
Answer:
- 0.5
Step-by-step explanation:
To find the gradient of a line,
divide the value of decrease by the value across.
So, count across from the extreme left toll the extreme right = 13
Where you completed in the extreme right, you have to count down till you reach the other end of the line = 6.5
Now, you divide: 6.5 divided by 13 = 0.5
Since we counted down, it is negative = -0.5
Please mark brainiest
What is the slope of the line shown below?
Answer:
4
Step-by-step explanation:
(9 - 1) / (3 - 1) = 8/2 = 4
Answer:
4
Step-by-step explanation:
To find the slope using two points
m= (y2-y1)/(x2-x1)
= (9-1)/(3-1)
= 8/2
= 4
Can you please help me this is coordinates only and thank you.
Answer: (2,6)
Step-by-step explanation: you go the the left 3 from F then up 2 and you have it.
Which complex number has a distance of V17 from the origin on the complex plane?
O 2 + 151
O 17 +7
O 20 – 3i
O 4-7
Answer:
[tex]4-i[/tex]
Step-by-step explanation:
Use the formula for the distance of a complex number from the origin on the complex plane.
[tex]\sqrt{a^2+b^2}[/tex]
[tex]a+bi[/tex]
[tex]4-i[/tex]
[tex]\sqrt{4^2-i^2}[/tex]
[tex]\sqrt{4^2+(-1)^2}=\sqrt{16+1}=\sqrt{17}[/tex]
The complex number that has a distance of [tex]\sqrt{17}[/tex] is [tex]4-i[/tex].
By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)
How to determine the distance of a complex numberComplex numbers are a generalization from real numbers, whose expression are of the form a + i b, where a and b are the components of the real and imaginary components, respectively. The magnitude of complex numbers is determined by Pythagorean theorem, this is, the distance from the origin to the location of the number on the complex plane:
[tex]r = \sqrt{a^{2}+b^{2}}[/tex]
If we know that a = 4 and b = -1, then the magnitude of the complex number is:
[tex]r = \sqrt{4^{2}+(-1)^{2}}[/tex]
[tex]r = \sqrt{17}[/tex]
By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)
RemarkThe statement presents several typing mistakes, correct form is shown below:
Which complex number has a distance of [tex]\sqrt{17}[/tex] from the origin on the complex plane?
A. 2 + i 15
B. 17 + i
C. 20 - i 3
D. 4 - i
To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853 #SPJ5
HELP PLEASE !! NEED HELP ASAPPP !! Will give brainliest !!!
−→− bisects ∠DGF, m∠DGE=53∘. Find m∠DGF.
1. what is the measure of angle DBF? (image included below)
Answer:
Measure of angle DBF = 106°.
Step-by-step explanation:
Given in the question,
m∠DGE = 53°
and line segment GE is the angle bisector of ∠DGF.
Since segment GE is the angle bisector of ∠DGF that means it divides the angle DGF into two equal parts.
Therefore, m∠DGE ≅ m∠FGE
m∠DBF = m∠DGE + m∠FGE
m∠DBF = 2(m∠DGE)
= 2(53)°
= 106°
Therefore, measure of angle DBF = 106°.
Ay is any one down to work together on this? Not just this question but the whole unit of geometry
Which is a true statement about the diagram?
The right answer is of option C.
hope it helps..
good luck on your assignment
Answer:
c
Step-by-step explanation:
what number times there self eqaul to 64
Answer:
8
Step-by-step explanation:
8 times 8 = 64
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
11. Michael is trying to rent a car during his vacation. He finds two companies
with the following deals.
Carol's Car Rentals
AL's Auto Rentals
$180 down payment
+ $15 per day
$250 down payment
$s per day
+
Part A: Write an expression that represents the cost at Carol's Car Rentals for (d)
days.
Your answer
Answer:
$180 + $15d
Step-by-step explanation:
Since Carol's Car Rentals offers a deal of $180 down payment + $15 per day and AL's Auto Rentals offer a deal of $250 down payment $5 per day. To calculate the cost of Carol's Car Rentals deal, we use the formula:
cost of Carol's Car Rentals = Down payment + cost per day.
If you are to rent at Carol's Car Rentals for d days; The cost of Carol's Car Rentals = Down payment + cost per day = $180 + $15 per day × d days
cost of Carol's Car Rentals = $180 + $15d
I’ll mark you brainliest! What is the answer???
Answer:
A
Step-by-step explanation:
[tex]f(x)=9(3)^x \\\\\\f(-3)=9(3)^{-3}= \\\\\\9\left(\dfrac{1}{3^3} \right)= \\\\\\9\left(\dfrac{1}{27} \right)= \\\\\\\dfrac{9}{27}= \\\\\\\dfrac{1}{3}[/tex]
Hope this helps!
The sum of three numbers is 84 the second number is 3 times the third . The first number is 6 less then the third . What are the numbers
Answer:
A=12
B=54
C=18
Step-by-step explanation:
A=first
B=second
C=third
A+B+C=84
B=3C
A=C-6
C-6+3C+C=84
5C-6=84
5C=90
C=18
A=C-6
=(18)-6
=12
B=3C
=3(18)
=54
12, 54, and 18 so, what he said is true
Step-by-step explanation: he already gave this to you
write in algebraic expression to find the number of seconds in n minutes
Is the relation a function? Why or why not?
{(-8, -4).(-2, 0), (1, 3).(-2.6)}
Answer:
No it's not a function. (-2, 0) and (-2, 6) don't pass the vertical line test.
Step-by-step explanation: