Answer:
Step-by-step explanation:
Looking at the diagram,
Line DT is parallel to line line BM, therefore, triangle DHT is similar to triangle BHM. This means that
DH/DB = TH/MH
DH = 15 + 6 = 21
TH = 9 + x
Therefore
(9 + x)/21 = 9/6
Cross multiplying, it becomes
6(9 + x) = 21 × 9 = 189
54 + 6x = 189
Subtracting 54 from the left hand side and the right hand side of the equation, it becomes
6x + 54 - 54 = 189 - 54
6x = 135
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 135/6
x = 22.5
Answer:
A) 283.4mm^2
Step-by-step explanation:
Ok area of a circle
A=πr2
Radius is half of diameter
19/2=9.5
so
A=(3.14)9.5^2
A=283.385
round this nearest tenth
283.4mm^2
Answer: p(a given b) = p(a and b) / p(b)
a is the probability that they score.
b is the probability that they cross the blue line.
p(a and b) is given as .005
this is the probability that they cross the blue line and score.
p(b is given as .6
that's the probability that they cross the opposing blue line.
the formula becomes:
p(a given b) = .005 / .6 = .0083333333.....
that's what i get using the p(a given b) formula.
Step-by-step explanation:
Answer: (2,-1).
Step-by-step explanation:
The given system of equations is
For , table of values is
x : 0 1 2
y : 2 0.5 -1
For , table of values is
x : -1 2 5
y : -2 -1 0
Plot these points on a coordinate plane and connect them be straight lines as shown below.
Form the graph it is clear that the lines intersect each other at (2,-1).
Therefore, the solution of given system of equations is (2,-1).
