Answer:
z =15cm and
y=9.0cm
Step-by-step explanation:
Use sine rule
12/ sin53 = z / sin 90
Z = 12 x sin 90 / sin 53
Z = 15cm
To find y the angle opposite to y will be 180-(90+53)=37º
So
15/sin 90= y/sin37
y= 15 x sin37 /sin 90
y = 9.0cm
They are variables they can equal anything. it is just an example of two different fractions who's numbers are unknown.
Answer:
15
Step-by-step explanation:
Applying,
The angle bisector theorem of triangle
From the diagram,
Since ΔAMT is an issoceless triangle,
Then,
Line OA divides Line MT into two equal parts.
Therefore,
Line MO = Line OT.............. Equation 1
From the diagram,
Line MO = 4x-1, Line OT = 3x+3
Substitute into equation 1
4x-1 = 3x+3
Collect like terms
4x-3x = 3+1
x = 4.
Therefore,
OT = 3(4)+3
OT = 12+3
OT = 15
Let, the speed of boat = x
Speed of current = y
So, x + y = 280/7
x + y = 40 ---- first equation
x - y = 280/14
x - y = 20
x = 20 + y
Substitute this value of x in first equation,
20 + y + y = 40
2y = 40 - 20
y = 20/2
y = 10
Substitute this in first equation,
x + 10 = 40
x = 30
In short, Speed of Boat = 30 mph, & speed of current = 10 mph
Hope this helps!
Answer:
True
Step-by-step explanation:
In order for a relation (a set of ordered pairs) to be considered a <em>function</em>, every value in the <em>domain</em> (the set of all the first numbers in the pair) is associated with one value in the <em>range</em> (the set of all second numbers in the pair). This is easiest to see visually. Our domain is the set {2, 3, 4, 5} and our range is the set {4, 6, 8, 10}, and we can visualize the ordered pair (2, 4) as an "arrow" starting a 2 in the domain and ending at 4 in the range. When seen this way, a relation is a function if <em>every value in the domain only has one arrow coming out of it</em>. We can see from the attached picture that the ordered pairs in the problem are a function, so this statement is true.
