Can 3 lines in a circle make 8 pieces?
Oh, dude, let me break it down for you. So, if you draw three lines in a circle, you can definitely create eight pieces. Each line you draw cuts the circle into two parts, so with three lines, you'll have eight pieces in total. It's like slicing a pizza, but with geometry.
There is a hint to how to solve this in what is required to be shown: a and b are both squared.
If
then square both sides of each to get:
Now add the two together:
a² cos² θ + a² sin² θ + b² sin² θ + b² cos² θ = 89
→ a²(cos² θ + sin² θ) + b² (sin² θ + cos² θ) = 89
using cos² θ + sin² θ = 1
→ a² + b² = 89
Maths working model for class 11?
Oh, dude, you want a math working model for class 11? That's like asking for a unicorn at a pet store! But hey, you could make a cool model showcasing different geometric shapes or maybe demonstrate a math concept using everyday objects. Just remember, it's all about having fun with it, not stressing out too much.
What is the multiplicative inverse of 4 plus i?
To find the multiplicative inverse of a complex number z = (a + bi), divide its complex conjugate z* = (a - bi) by z* multiplied by z (and simplify):
z = 4 + i
z* = 4 - i
multiplicative inverse of z:
z* / (z*z)
= (4 - i) / ((4 - i)(4 + i)
= (4 - i) / (16 + 1)
= (4- i) / 17
= 1/17 (4 - i)
How is trigonometry used in a cartographer?
Trig helps to measure distances between objects without anyone actually having to travel to all the points. It should be noted that trig is used "in cartography" (in the practice of map-making), or used "by a cartographer" (by a map maker).-
What is meant by 'tangent to the path?
The immediate surroundings of any point on a curved path can be considered as part of a circle: the circle of curvature at that point. Then the tangent to the path at that point is a line that meets the path at only one point in that neighbourhood and which is perpendicular to the line joining the point to the centre of the circle or curvature.
The concept can be extended to straight segments of the path by assuming that the centre of curvature is at an infinite distance. In that case, the path and its tangent are the same line.
What quadrant does angle -1560 degrees lie in?
Angle -1560 degrees lies in the fourth quadrant, honey. Just imagine spinning around in circles like a drunken sailor - you'll end up facing the fourth quadrant eventually. So, in math terms, that negative angle is gonna be chilling in the fourth quadrant where negativity is welcome.
A tutor, or see the Related Link.
In the Cartesian plane, the independent variable, if any, is usually plotted on the x-axis.
Is a triangle a perpendicular shape?
Only when it is in the form of a right angle triangle that it will have perpendicular lines that meet at 90 degrees.
What are the three angles of a triangle that has sides of 79 cm 123 cm and 97 cm?
Let the angles be A B C and their opposite sides be a b c then by using the trigonometrical cosine rule the first two angles work out as 39.93 degrees and 88.05 degrees then deduct those angles from 180 degrees to find the third angle which will be 52.02 degrees.
Example problems in right plane triangle?
Here are a couple
Find the altitude of a triangle with base 3 and hypotenuse 5.
Find the altitude of an equilateral triangle with each side to 2
Is there a formula to work out trigonometry?
No, because trigonometry is a big subject: there are many formulae.
That doesn't depend on the temperature, but on the amount of UV radiation you receive.
How do you get the greatest common factor of 12 and 54 using a tree?
12
6,2
3,2,2
54
27,2
9,3,2
3,3,3,2
2 x 3 = 6, the GCF
How do you pass your Algebra 2-Trigonometry Honors class?
You should do all your work and study often, just like for any class. You'd might stay after school to ask your teacher for help.
Centre of circle: (3, -5)
Distance from (3, -5) to (6, -7) is the square root of 13 which is the radius
Equation of the circle: (x-3)^2 + (y+5)^2 = 13