[tex]~~~~1+ \cos \theta = 2 \cos^2 \theta \\\\\implies 2\cos^2 \theta -\cos \theta -1 = 0\\\\\implies 2 \cos^2 \theta -2\cos \theta + \cos \theta -1 = 0\\\\\implies 2 \cos \theta( \cos \theta -1) +(\cos \theta -1)=0\\\\\implies (\cos \theta -1)(2 \cos \theta +1)=0\\\\\implies \cos \theta = 1, ~~\cos \theta = -\dfrac 12\\\\\implies \theta = 2n\pi,~~~ \theta = 2n\pi \pm \dfrac{2\pi}3[/tex]
Find the value of X that makes S || T (7x-20)° and (4x +16)°
Answer:
88189987766.9087 because x stands for 1000
i need a A pls helppp
Answer:
option B is correct.
Option A Option B
6x = 66 5x = 30
x = 66/6 x = 30/5
x = 11 x = 6
Option C Option D
6x = 1 7x + 2 = 15
x = 1/6 7x = 15 - 2
x = [tex]\sf \sf \frac{1}{6}[/tex] x = [tex]\sf \frac{13}{7}[/tex]
How would I solve I need to know Asap and what is the answer
Answer:
Yes the two figures are congruent. They are the same size and shape they just translated it down the coordinate plane.
Step-by-step explanation:
What is the compliment of an angle that measures 2x degrees?
Answer:
(90 - 2x)°
Step-by-step explanation:
complimentary angles sum to 90° , then
the compliment of 2x° is (90 - 2x)°
Answer:
(90 - 2x)°
Step-by-step explanation:
We say that two angles are complementary if their measures add up to 90°
The complement of an angle that measures 2x is the angle of measure
(90 - 2x)°
because 2x + (90-2x) = 90
A soda can had a diameter of 6 cm . What is the circumference of the can?
17. Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at [tex]70^{\circ} \mathrm{F}[/tex] and 173 chirps per minute at [tex]80^{\circ} \mathrm{F}[/tex] .
(a) Find a linear equation that models the temperature [tex]T[/tex] as a function of the number of chirps per minute [tex]$N$.[/tex]
Answer:
1435
Step-by-step explanation:
makatulong ba itong anser ko
What is the image of (-12, 6) after a dilation by a scale factor of 1/2 centered at the origin?
Answer: (0,3)
Step-by-step explanation:
(x,y) -> (1/2x , 1/2y)
(0,6) -> (1/2 • 0, 1/2 • 6)
=(0,3)
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i hope this helps, brainliest please <3
300 seats in a cinema, 60% are filled, how many seats are left?
Answer:
120 are left
Step-by-step explanation:
to get how many seats that are left you will multiply grand total of all the seats times percent filled over 100. see below
300 × 60/100
=3 × 60
=120 seats that are left
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write the equation of a line in slope interest form that passes through (16,0) and (17,12)
Answer:
y=12x - 192
Step-by-step explanation:
Hi there!
We are given the points (16,0) and (17, 12)
We want to write the equation of the line that contains these points in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have 2 points, which is what we need to find the slope, but let's label their values to help avoid confusion and mistakes
[tex]x_1=16\\y_1=0\\x_2=17\\y_2=12[/tex]
Now let's plug these values into the formula to find the slope
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{12-0}{17-16}[/tex]
Subtract
m=[tex]\frac{12}{1}[/tex]
Divide
m = 12
The slope of the line is 12.
Let's substitute that as m in y=mx+b.
Here is our equation so far:
y=12x + b
Now we need to find b
As the equation passes through the points (16,0) and (17, 12), we can use either one of them to solve for b.
Using (16,0) for example:
Substitute 16 as x and 0 as y.
0 = 12(16) + b
Multiply
0 = 192 + b
Subtract 192 from both sides
-192 = b
Substitute -192 as b in the equation
y = 12x - 192
Hope this helps!
Topic: finding the equation of the line
See more on this topic here: https://brainly.com/question/27568529
Coordinates of an endpoint of a line plotted on the coordinate plane are (6, -2). The length of the line is 4 units. Select the coordinates that could be the other end point of the line? (select all that are true) Coordinates of an endpoint of a line plotted on the coordinate plane are (6, -2). The length of the line is 4 units. Select the coordinates that could be the other end point of the line? (select all that are true) (6, 2) (6, 6) (10, -2) (2, -2) (6, -6) (-2, -2) (-10, -2)
The possible coordinates that could be the other endpoints of a line that has a length of 4 units are: (6, 2), (10, -2), (2, -2), and (6, -6).
What is the Distance Between Two Points?On a coordinate plane, the distance between two points is the number of units in between the two points lying on the same axis.
Let's find the distance between (6, -2) and eaxh of the given endpoints tro know which gives us a length of 4 units.
(6, -2) and (6, 2) = |-2 - 2| = 4 units
(6, -2) and (6, 6) = |-2 - 6| = 8 units
(6, -2) and (10, -2) = |10 - 6| = 4 units
(6, -2) and (2, -2) = |6 - 2| = 4 units
(6, -2) and (6, -6) = |-2 - (-6)| = 4 units
(6, -2) and (-2, -2) = |6 - (-2)| = 8 units
(6, -2) and (-10, -2) = |6 - (-10)| = 16 units
Therefore, the possible coordinates of the other endpoint of the line are: (6, 2), (10, -2), (2, -2), and (6, -6).
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please answer this question
Differentiate x and y with respect to t :
[tex]x = e^{\sec(2t)} \implies \dfrac{dx}{dt} = e^{\sec(2t)} \dfrac{d(\sec(2t))}{dx} = 2\sec(2t)\tan(2t) e^{\sec(2t)}[/tex]
[tex]y = e^{\tan(2t)} \implies \dfrac{dy}{dt} = e^{\tan(2t)} \dfrac{d(\tan(2t))}{dx} = 2\sec^2(2t) e^{\tan(2t)}[/tex]
By the chain rule,
[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]
Then
[tex]\dfrac{dy}{dx} = \dfrac{2\sec^2(2t) e^{\tan(2t)}}{2\sec(2t)\tan(2t) e^{\sec(2t)}} = \dfrac{\sec(2t) e^{\tan(2t)}}{\tan(2t) e^{\sec(2t)}} =\dfrac{y \sec(2t)}{x\tan(2t)}[/tex]
and we have
[tex]\log(x) = \sec(2t)[/tex]
[tex]\log(y) = \tan(2t)[/tex]
and the claim follows.
Simplify the square root of (x^2 -6x+ 9) if x<3
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{{x}^{2} - 6x + 9 }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{{x}^{2} - 3x - 3x+ 9 }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{{x(}^{} x- 3) - 3(x - 3) }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{( x- 3) (x - 3) }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{( x- 3) {}^{2} }[/tex]
[tex]\qquad \sf \dashrightarrow \: {( x- 3) {}^{} }[/tex]
I hope you understood the procedure ~ let me know if you have doubts ~
Answered by James ~ ( Teeny fr )
Which of the following demonstrates how the 70 is calculated using the
combination pattern?
The correct answer is A.
Computer monitor measurements are typically classified by the diagonal length of the viewable area. What is the measurement of a monitor that has a rectangular viewable area of 16 inches by 12 inches? Round your answer to the nearest tenth if necessary
Answer:
~Senpi boi here~
Step-by-step explanation:
I belive this is your exlpained answer for this qestion, As figure given in the question. Hers it is step by step:
Hypotenuse = 16 in
Base = 9 in
Putting the values in the formula
Hypotenuse² = Perpendicular² + Base²
16² = 9² + Base²
324 - 81 = Base²
243 = Base²
Base = 13.59 in (Approx)
Therefore the length of the base of the moniter be 15.59 in .
Answer: THIS IS THE CORRECT ANSWER
20"
Step-by-step explanation:
Length = 16" = L
Width = 12" = W
Diagonal = [tex]\sqrt{L^{2}+W^{2} }[/tex]
= [tex]\sqrt{16^{2}+12^{2} } = \sqrt{256+144\\\\[/tex]
= [tex]\sqrt{400} = 20"[/tex]
What is the surface area of the square pyramid?
Answer:
SA = 16 units^2
Step-by-step explanation:
B - base
H - height
SA - surface area
B = 2
H = 3
SA = (B × B) + 4((1/2)×(B × H))
SA = (2×2) + 4((1/2)×(2×3))
SA = 16 units^2
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
sin45°=x/16
or, 1/√2 = x/16
or, x=16/√2
or, x=8√2 or 11.31 #
Your apartment's monthly rent was $300 last year. This year it is $350.
What is the rate of inflation, to the nearest tenth of a percent?
O 50.0%
O 16.7%
0 15.4%
O 14.3%
well, if it was 300 and now is 350, it went up by 50 bucks, that's the inflation amount.
if we take 300 to be the 100%, what is 50 bucks off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 300 & 100\\ 50& x \end{array} \implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x\approx 16.7[/tex]
Can anyone help me with this math problem?
I know its not hard at all im just to lazy to do it
Answe i
Can't see the picture
Step-by-step explanation:
Complete the equation for ⊙A.
A 2-dimensional graph with an x-axis and a y-axis is given. A circle is passing through the co-ordinates (-4,1), (-1,-2), (-4, -5) and (-7,-2) respectively. A point A which is the mid-point of the circle has co-ordinates (-4,-2).
The general equation of a circle is (x-h)²+(y-k)² = r². The equation of circle A is (x+4)²+(y+2)²=9.
What is the equation of a circle?The general equation of a circle is given as,
(x-h)²+(y-k)² = r²
Where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle,
Given that the four points that lie on the circle are (-4,1), (-1,-2), (-4, -5) and (-7,-2), and also the centre of the circle is at (-4,-2). Therefore, the radius of the circle will be the distance between the centre of the circle and any point lying on the circle.
[tex]\rm \text{Radius of the circle} = \sqrt{[(-4)-(-4)]^2+[(-2)-(1)]^2}\\\\\text{Radius of the circle} = \sqrt{(0)^2+(-3)^2}\\\\\text{Radius of the circle} = 3\ units[/tex]
Since the coordinate of the centre point of the circle is (-4,-2), while the radius of the circle is 3 units, therefore, the equation of the circle can be written as,
[tex][x-(-4)]^2+[y-(-2)]^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 9[/tex]
Hence, the equation of circle A is (x+4)²+(y+2)²=9.
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you want to arrange 5 of your favorite CDS along a shelf. How many different ways can you arrange the CDS assuming that the order of the CDS makes a difference to you?
You can arrange them in 120 different ways
The easiest way to do this is using factorials!
We are given 5 CDs
We are able to the factorial of 5
It would look like this 5!
5! = 5x4x3x2x1
This equals 120
Write the equation of the parabola that has the vertex at point (2,7) and passes through
the point (-1,3).
Answer:
[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]
Step-by-step explanation:
the answer is :- .
[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]
Answer:
y=-4(x+2)^2+7
Step-by-step explanation:
i dont understand this
Eugenia rolls a six-sided number cube. What is the probability that she gets a number less than 5?
How many x intercepts does the polynomial function y=(x-8)(x+3)^2
Answer:
The answer is 2 x-intercepts
Step-by-step explanation:
To determine the x-intercepts we set y to zero and solve for x:
y=0
(x-8)(x+3)^2=0
The product of 2 factors is 0 means that one of them must be 0:
x-8=0 ⇒ x=8 →first x-intercept
or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3 →second x-intercept
Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3
Hope this helps :)
In this survey, 77 people prefer basketball. In a survey done a couple months later, only 70
people prefered basketball. What was the percent decrease in the number of people who
prefer basketball?
URGENT PLEASE HELP
Answer:
Minus 9.09090909% decrease
The diameter of the cone is 6 inches. It’s height is 4 inches. What is its slant height?
Answer:
5 inches
Step-by-step explanation:
As the height is perpendicular to the base, the radius and the height form a right angle, creating a right triangle where the slant height is the hypotenuse, thus:
[tex](height)^2+(radius)^2=(slant\:height)^2[/tex]
[tex]4^2+(6/2)^2=(slant\:height)^2[/tex]
[tex]16+9=(slant\:height)^2[/tex]
[tex]25=(slant\: height)^2[/tex]
[tex]5=slant\: height[/tex]
In conclusion, the slant height of the cone is 5 inches. See below for a visual.
A number cube that has sides numbered 1 through 6 is rolled 180 times.
Answer: How many times would you expect the result to be a number greater than 2.
A quadrilateral with four congruent sides that is not regular pls help I need the shape to fit the description
If a quadrilateral with four congruent sides is not regular. Then the quadrilateral will be a rhombus.
What is a rhombus?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rhombus, opposite sides are parallel and all sides are equal and each angle is not 90 degrees.
A quadrilateral with four congruent sides is not regular.
If the sides of the quadrilateral are congruent then the quadrilateral must be either square or rhombus.
But if the sides are not regular then it must be a rhombus.
More about the rhombus link is given below.
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9. An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table below. Based on this data, how many lasagna dinners are likely to be needed for a flight with 380 passengers?
Dinner Frequency
Chicken 63
Fish 30
Lasagna 25
Vegetarian 2
A. 80 B. 85 C. 206 D. 301
Answer:
80
Step-by-step explanation:
25/120 ( since you are trying to find probability of a situation)=.2083
.2083*380=79.167 (just round it off to the nearest 1 which is 80).