Answer:
sqrt(3/8) = t
.61237 = t
Step-by-step explanation:
h(t)=−16t^2+10
Let h(t) = 4
4 =−16t^2+10
Subtract 10 from each side
4-10 =−16t^2+10-10
-6 = -16 t^2
Divide by -16
-6/-16 = t^2
3/8 = t^2
Take the square root of each side
sqrt(3/8) = sqrt(t^2)
sqrt(3/8) = t
.61237 = t
We only take the positive since time is not negative
Hi there
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r)^(n)-1)÷r]
Fv future value?
PMT payment per year 2000
R interest rate 0.085
N time 20 years
Fv=2,000×(((1+0.085)^(20)−1)
÷(0.085))=96,754.03
Hope it helps
Answer:
x = 60°
Step-by-step explanation:
This is an equilateral triangle. All angles of this triangle are congruent and have a measure of 60°.
Other method.
We know: the sum of the measures of the angles of the triangle is equal to 180 °.
Therefore we have the equation:
x + x + x = 180°
3x = 180° <em>divide both sides by 3</em>
x = 60°
Answer:
Area of the shaded region = 3.46 square units
Step-by-step explanation:
Measure of the interior angle of a regular polygon = 
From the picture attached,
Number of sides of the given polygon 'n' = 6
Interior angle (∠BAF) of the given polygon = 
= 120°
Measure of ∠BAC = 
= 30°
Now we apply sine rule in ΔAGB,
sin(30°) = 
= 
BG = AB[sin(30°)]
= 
= 1
By applying cosine rule in ΔABG,
cos(30°) = 
= 
AG = AB[cos(30°)]
= 
= 
AC = 2(AG)
= 2√3
Area of ΔABC = 
= 
= 
= 
Area of the shaded region = Area of ΔABC + Area of ΔFED
= 2(Area of ΔABC)
= 2√3
= 3.46 square units