For the given triangle, the tan of angle A equals C.
Step-by-step explanation:
Step 1:
For the given triangle, the hiking route is represented by AB and the change in elevation is represented by BC.
So we need to calculate the value of BC for the given triangle
Step 2:
In the given triangle, the opposite side has a length of 'a' feet, the adjacent side has a length of 'b' feet while the triangle's hypotenuse measures 400 feet.
To calculate the opposite side of the triangle, we can use the sine of any angle in that particular triangle. The sine of a particular angle is the opposite side's length divided by the hypotenuse's length.
sin A = .
Step 3;
The length of the opposite side = a,
The length of the hypotenuse side = 400 units.
. So
= 169.04 feet.
So the change in elevation is 169.04 feet.
3 of 4 is not the correct way of writing a ratio.
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element. The operation satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility. One of the most familiar examples of a group is the set of integers together with the addition operation, but the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, applies much more widely. It allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way while retaining their essential structural aspects. The ubiquity of groups in numerous areas within and outside mathematics makes them a central organizing principle of contemporary mathematics.[1][2]
Groups share a fundamental kinship with the notion of symmetry. For example, a symmetry group encodes symmetry features of a geometrical object: the group consists of the set of transformations that leave the object unchanged and the operation of combining two such transformations by performing one after the other. Lie groups are the symmetry groups used in the Standard Model of particle physics; Poincaré groups, which are also Lie groups, can express the physical symmetry underlying special relativity; and point groups are used to help understand symmetry phenomena in molecular chemistry.
Answer:
x=4 and y=5
Step-by-step explanation:
Find x by adding the two equations so that the 6y and -6y will cancel out.
You're left with 6x=24 which you divide 6 on both sides to get x=4.
Then to find y you will plug 4 into either equation for x. I chose the second equation, so 4-6y=-26, get -6y alone by subtracting the 4 over to the other side. then -6y=-30, then divide both sides by -6 and you get y=5.
Answer:
insufficient information
Step-by-step explanation:
If the order of the points is unknown, the distances AB and CD imply no particular distance for BD.