Answers
log₃(-2 tan(x)) = 1/2
Write both sides as powers of 3, and use the property [tex]b^{\log_ba}=a[/tex]:
[tex]3^{\log_3(-2\tan x)}=3^{\frac12}[/tex]
-2 tan(x) = √3
Then solve for x :
tan(x) = -√3 / 2
x = arctan(-√3 / 2) + nπ
x = -arctan(√3 / 2) + nπ
where n is any integer.
Related Questions
On Saturday, Hattie biked 37.5 miles. On Sunday, she biked 35.75 miles. How far did she bike on Saturday and Sunday?
Answers
Answer:
Hattie travelled 73.25 miles on Saturday and Sunday
Which is equivalent to −2/5
Answers
Answer:
-0.4
Step-by-step explanation:
-2 divided by 5
Answer:
-4/10
Step-by-step explanation:
There are many more this is one of them.
In a survey of 2100 people who owned a certain type of car,735 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
35%
Step-by-step explanation:
the percent is given by the ratio 735 / 2100 = 7/20 = 0.35
which in percent form is 35%
The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1,4) and
B(4,1). Find the equation of the line that contains the given segment.
The line segment is AB.
The equation is y =
Answers
Answer:
y = - x + 5
Step-by-step explanation:
A(1, 4)
B(4, 1)
[tex]m_{AB}[/tex] = [tex]\frac{1-4}{4-1}[/tex] = - 1
y - 1 = - 1 ( x - 4 )
y = - x + 5
Drag the tiles to the correct boxes to complete the pairs. Match the values based on parallelogram ABCD, shown in the figure. length of value of m∠DAB value of 56 arrowRight 4 arrowRight 44 arrowRight 2 arrowRight
Answers
Answer:
56 ---> m< DAB
4 ---> length of line BC
44 ---> value of y
2 ---> value of x
Step-by-step explanation: edmentum test answer
The length of BC is 4 units, the value of y is 44, a measure of the angle DAB is 56 degrees, and the value of x is 2.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Parallelogram ABCD
From the figure:
6 - x = x + 2
2x = 4
x = 2
Length of BC = 6 - x = 6 - 2 = 4 units
12 + y = 100 - y
y = 44
Angle DAB = 100 - 44 = 56 degrees
The value of x = 2
Thus, the length of BC is 4 units, the value of y is 44, a measure of the angle DAB is 56 degrees, and the value of x is 2.
Learn more about the parallelogram here:
brainly.com/question/1563728
#SPJ2
Is [tex]\sqrt{103}[/tex] irrational or rational? What is your reasoning?
Answers
Answer: irrational
Step-by-step explanation:
[tex]\sqrt{103}[/tex] is an irrational number because it is not a perfect square. Irrational numbers keep on terminating, so the answer to the question is irrational.
Hope this helps you!
Use a double integral in polar coordinates to find the area of the region. The region inside the circle (x − 4)2 + y2 = 16 and outside the circle x2 + y2 = 16
Answers
Answer:
[tex]\mathbf{A = \dfrac{8}{3} \bigg (2 \pi + 3\sqrt{3} \bigg ) }[/tex]
Step-by-step explanation:
From the information given:
Lets first change the given relations into polar coordinates
So, the region of the inner circle into polar coordinates is as follows:
(x - 4)² + y² = 16
x² + y² - 8x = 0
r² - 8r cos θ = 0
r = 8 cos θ
For the outside circle:
x² + y² = 16
r² = 16
Thus, the intersection point are:
64cos²θ = 16
cos²θ = 1/4
θ = -(π/3) , (π/3)
Now: if we are to represent the sketch on a graph, the region of the integration D will be:
[tex]D = \bigg \{ (r,\theta )\bigg |-\dfrac{\pi}{3}\leq \theta \leq \dfrac{\pi}{3}, 4 \leq r \leq 8 cos \theta \bigg \}[/tex]
Therefore, the are of the required region can now be computed as follows:
[tex]A = \int \int _D \ dA[/tex]
[tex]A = \int ^{\pi/3}_{-\pi/3} \int ^{8 \ cos \theta}_{4} \ r dr d \theta[/tex]
[tex]A = \int ^{\pi/3}_{-\pi/3} \bigg (\dfrac{r^2}{2} \bigg ) ^{8 \ cos \theta}_{4} \ d \theta[/tex]
[tex]A = \int ^{\pi/3}_{-\pi/3} \dfrac{1}{2} \bigg (64 \ cos ^2 \theta - 16 \bigg ) \ d \theta[/tex]
[tex]A = \int ^{\pi/3}_{-\pi/3} \dfrac{16}{2} \bigg (4 \ cos ^2 \theta - 1 \bigg ) \ d \theta[/tex]
[tex]A = \dfrac{16}{2} * 2 \int ^{\pi/3}_{0} \bigg (4 \bigg ( \dfrac{ 1+ cos 2 \theta}{2} \bigg) - 1 \bigg ) \ d \theta[/tex]
[tex]A = 16 \int^{\pi/3}_{0} (1 + 2 cos 2 \theta ) d \theta[/tex]
[tex]A =16 ( \theta + sin2 \theta )^{\pi/3}_{0}[/tex]
[tex]A = 16 \begin {bmatrix} \bigg (\dfrac{\pi}{3} + \dfrac{\sqrt{3}}{2} \bigg ) - (0-0) \end {bmatrix}[/tex]
[tex]A = 16 \begin {bmatrix} \bigg (\dfrac{\pi}{3} + \dfrac{\sqrt{3}}{2} \bigg ) \end {bmatrix}[/tex]
[tex]\mathbf{A = \dfrac{8}{3} \bigg (2 \pi + 3\sqrt{3} \bigg ) }[/tex]
The area of the region is equal to [tex]8\sqrt{3} + \frac{16\pi}{3}[/tex] square units.
The double integral formula for the area of a given curve is described below:
[tex]A = \iint\,r(\theta) \,dr\,d\theta[/tex] (1)
Where:
[tex]r[/tex] - Distance with respect to origin.[tex]\theta[/tex] - Angle in standard position.We notice that [tex]r \in [4, 8\cdot \cos \theta][/tex] and [tex]\theta \in \left[-\frac{\pi}{3}, \frac{\pi}{3} \right][/tex], then we have the following integral:
[tex]A = \int\limits_{-\frac{\pi}{3} }^{+\frac{\pi}{3} } \int \limits_{r= 4}^{r = 8\cdot \cos \theta}\,r\,dr\,d\theta[/tex]
Now we proceed to integrate the expression:
[tex]A = \frac{1}{2}\int\limits_{-\frac{\pi}{3} }^{+\frac{\pi}{3} } \,(64\cdot \cos^{2}\theta -16)\,d\theta = 32 \int\limits^{+\frac{\pi}{3} }_{-\frac{\pi}{3} } \,\cos^{2}\theta \, d\theta - 8\,\int\limits^{+\frac{\pi}{3} }_{-\frac{\pi}{3} } \, d\theta[/tex]
[tex]A = 16\int\limits^{+\frac{\pi}{3} }_{-\frac{\pi}{3} } {\cos 2\theta} \, d\theta + 8\int\limits^{+\frac{\pi}{3} }_{-\frac{\pi}{3} } \, d\theta[/tex]
[tex]A = 8\sqrt{3}+\frac{16\pi}{3}[/tex]
The area of the region is equal to [tex]8\sqrt{3} + \frac{16\pi}{3}[/tex] square units.
We kindly invite to check this question on double integrals: https://brainly.com/question/2289273
Who ever gets it right gets brainliest
Answers
Answer:
sea mount I think
I have no clue but that's my guess
I need this in standard form slope intercept and point slope form.
Answers
Answer:
m= 3/4
Step-by-step explanation:
Use the slope formula to find the slope m
at the end of summer jamie bought a $325 surfboard for $123.50. by what percent was the surfboared marked down
Answers
Select the correct answer.
Which graph represents this equation?
5y = x + 5
Answers
Answer: the graph that passes through 0,1
Step-by-step explanation:
y=1/5x+1
Which values from the set make this inequality true?
4n<16 ; {1, 2, 3, 4}
Select each correct answer.
1
2
3
4
Answers
Answer:
1 2 3
Step-by-step explanation:
4 * 1 <16 4 is less than 16
4 * 2 <16 8 is less than 16
4 *3 <16 12 is less than 16
4 * 4 is not less than 16. 16 is not less than 16
4n < 16
Divide both sides by 4
n < 4
n is less than 4 so the numbers 1, 2, and 3, will make the inequality true.
Mark as Brainliest if it helped!
The following are score of student in a test
As 75 75 70 70 65 65
65 ss ss 55 55 55 S S
40 35 35
35 35.The mean absolute deviation
Answers
What is the value of x?
A.3
B.4
C.6
D.8
Need help ASAP no rock
Answers
18 = 10 + 2x
8 = 2x
4 = x
Express x^2+y^2+4x-6y+1=0 in polar coordinates form
Answers
Answer:
Step-by-step explanation:
d over d x over y=-1 over 2 y plus 3 over 2
The hypotenuse of a certain triangle is 5
units long and one leg is 3 units long. Find
the area of the triangle.
Answers
Answer:
If the given 5 units and 10 units are both legs of the right triangle, then the answer should be 11.18 units.
uiz
Select the slope-intercept form of an equation for a line with y-intercept -5 and slope 2.
A. x = 2x + 5
B. y = 2x - 5
O C y = 5x – 2
a
D. y = -5x + 2
Answers
Adele mows lawns in her neighborhood each weekend to save money for college.She uses her parents lawn mower,but is responsable for buying gas and other supplies she’ll need.The table below shows her profit after the first two lawns she moved last weekend.Adele charges the same amount of every lawn she mows.Select the function that models the relationship between her profit and the number of lawns she mows.
Answers
Answer:
P = 25m - 15
Step-by-step explanation:
Kindly find attached the table of values for your reference.
Step one:
given data
let us set up the coordinate using the value of p and m
p=35
p1=10
m=2
m1=1Tthe cordinate is (p1,p),(m1,m)= (y1,y),(x1,x)
(1,10), (2, 35)
the slop is given as, slope m = (p- p1)/(m - m1)
m=(35-10)/(2-1)
m = 25
from the equation of line y=mx+c
y = 25x + c
10 = 25(1) + bc
c= -15
y = 25x - 15
in term of m and p we have P = 25m - 15
-2/9×-5/3
As a fraction...?
Answers
What is the measure of
m
∠
A
?
Answers
Answer:
I think it would be 22
Step-by-step explanation:
A bus took a six hour trip and traveled 225 miles. The speed was 40 mph for the first part of the trip, and then decreased to 25 mph for the second part of the trip. How many hours were traveled at each speed?
Answers
Answer:
The bus traveled at 40 mph for 5 hours, and at 25 mph for the last hour.
Step-by-step explanation:
The time for the first part is t. Therefore the time for the second part if (6-t).
40t + 25 (6-t) = 225
40t + 150- 25t = 225
15t = 75
t=5
PLEASe HELP ASAP!!!! Christine found a sweater at Nordstrom that was priced at $72.00. She noticed there was a sign that said "All sweaters are 20% off today. How much was the sweater before tax?
a
$57.60
b
$96.40
c
$70.56
d
$56.70
Answers
Tom read 240 pages of a book containing 360 pages. What fraction of the book did he read?
PLS simplify the answer!!
Answers
Answer:
2/3
Step-by-step explanation:
360 - 240 = 120
120 x 3 = 360
if 120 is 1/3 of 360, then 240 is 2/3 of 360
(disregard the zeros you don't need them)
AC=39 Find the length of AB
Answers
Answer:
AB = 12
Step-by-step explanation:
An annual pass to a park costs $120. Use a percent model to find 200% of the full price of the annual pass.
200% of the full price is $_________
Answers
Answer:
wouldn't be $240 why u keep deleting my answer
Answer:
?
Step-by-step explanation:
awetfhgyjuhk
Answer the question in the picture.
Answers
Answer: J = 33
Step-by-step explanation:
the corner of the triangle is 90 degrees so
90 + 57 = 147
Now the rest is 33 degrees.
Since it'll equal to 180 degrees.
Answer:
It's 33 degree
explanation:
Two triangles are similar so
angle K is equal angleQ=90DEGREE
ANGLE J=AngleP=33
What is 2x+3y=1500 in slope intercept form?
Answers
Answer:
y=-2/3x+500
Step-by-step explanation:
Slope-intercept form: y=mx+b So, you need to get y by itself.
2x+3y=1500 Subtract 2x on both sides.
-2x -2x
3y=-2x+1500 Divide both sides by 3.
/3 /3
y=-2/3x+500
(The slope is -2/3 and the y-intercept is 500.)
Hope this helps!! Have a wonderful day ^^
What is the length of the radius, /?
O 8 units
O 10 units
O 12 units
O 16 units
Answers
Answer:
10
Step-by-step explanation:
ive done this before =)
Anyone know this or could help me out?
Answers
- Explanation: opposite sides of a quadrilateral parallelogram are congruent
2. Solve for X and Y
- 8x-8 = 6x+4
x=6
- 7y+2 = 6y + 16
y=14
HELPPPPPPP PLEASEEEEE
Answers
Answer:
b = 9
Step-by-step explanation:
Hello, once again.
Perpendicular lines have negative reciprocal slopes.
The slope would be -2.
Plug the y and x values in.
y = -2x + b
5 = -2(-2) + b
5 = -4 + b
b = 9
