Answer:
Sqrt 26 = 5.1
Step-by-step explanation:
Sqrt [(3-2)^2 + (1-6)^2]
= sqrt (1 + 25) = sqrt 26 = 5.1
Answer:
6.3 mm
Step-by-step explanation:
The Pythagorean theorem tells you ...
c^2 = a^2 + b^2
Solving for "a", you get
a = √(c^2 -b^2)
a = √(8.3^2 -5.4^2) = √39.73
a ≈ 6.3 . . . . mm
The length of "a" is about 6.3 mm.
Answer:
$4375
Step-by-step explanation:
What you do first is multiple $5,000 by 3.5% to get $175 after that you would then multiple $175 by 25 for each year you are getting $175 when you do all that you get $4375 in interest
If A is QIV, then 3π/2 ≤A≤2π;
we have to find out in what quadrant is A/2
(3π/2)/2≤A/2≤(2π)/2 ⇒ 3π/4≤A/2≤π
We can see that A/2 will be in QIII; therefore the sec (A/2) will be negative (-).
1) we have to calculate cos (A/2)
Cos (A/2)=⁺₋√[(1+cos A/2)/2]
We choose this formula: Cos (A/2)= -√[(1+cos A/2)/2], because sec A/2 is in quadrant Q III, and the secant (sec A/2=1/cos A/2) in this quadrant is negative.
Cos (A/2)=-√[(1+cos A)/2]=-√[(1+(1/2)]/2=-√(3/4)=-(√3)/2.
2) we compute the sec (A/2)
Data:
cos (A/2)=-(√3)/2
sec (A/2)=1/cos (A/2)
sec (A/2)=1/(-(√3)/2)=-2/√3=-(2√3)/3
Answer: sec (A/2)=-(2√3)/3
