Answer:
Part a)
Exact value 24√3 units
Approximate value 41.6 units
Part b) x=52.1 units
Step-by-step explanation:
Part a)
step 1
Find the exact value
Let
h-------> the blue dotted line
we know that
tan(60°)=h/24
h=tan(60°)*24
Remember that
tan(60°)=√3
substitute
h=24√3 units
step 2
Find the approximate value
h=24√3=41.6 units
Part b)
we know that
sin(53°)=41.6/x
x=41.6/sin(53°)=52.1 units
Answer: 2.46
Step-by-step explanation:
Formula for x-score is given by :-
, where = Sample mean , = population mean, = population standard deviation, n= sample size.
As per given , n=10
= $29,056
= $3,339
= $31,650
Then,
Hence, the z-score = 2.46
Answer:
x = -2 and y = 0
Explanation:
You just put the value of one variable in terms of the other in one of the two equations. Then, solve it and BOOM you'll have your solution.
x + y = -2 ........... (a)
y = x + 2 ............ (b)
Put (b) in (a),
x + (x + 2) = -2
2x = -4 => x = -2
Put x = -2 in (b),
y = x + 2 = -2+2 = 0
Thus, x=-2 and y=0
Answer: 4units^2
Step-by-step explanation:
B*H/2
4*2/2= 4
So 4units^2 is the area