Answer:
Option B Yes by AAA
Step-by-step explanation:
we know that
If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
so
substitute the values and verify
simplify
-------> is true
therefore
The triangles are similar by AAA------> the three angles are congruent
Answer:
future value = $49163.8
so required amount will be $491200 nearest $100
Step-by-step explanation:
given data
annual interest rate = 6 %
annuity = $300 per month
time period = 10 years
to find out
how much money will they have for the college expenses
solution
we know that effective rate will be
effective rate =
effective rate = 5 ×
number of payment = 12 × 10 = 120
so future value will be express as
future value = annuity × .........1
future value = 300 ×
future value = 300 × 163.8793
future value = $49163.8
so required amount will be $491200 nearest $100
since the polygon has 8 chambers the angle of one chamber = 360/8 = 45°
so the angle WOP = 45°
now drawing a imaginary line which seperates the triangleWOP into half
so the angle of imaginary line is 45/2 = 22.5
sin(theta) = opp/hyp
since WP (opp) is unknown. take as x
sin(22.5) = x/44
0.383×4 = x
x = 1.532 (app) = 1.5 cm
perimeter = 1.5 × 8
= 12 cm
area of triangle WOP = 2×1/2 ×bh = bh
= 4×1.5
= 6 cm²
so the area of regular polygon = 8× area of a triangle
= 48 cm²
Answer:
3
Step-by-step explanation:
Recall that the quadratic formula states that, the solutions to the quadratic equation
are
Now, in the given equation, a=-1 ,b=-6, and c= 8. Therefore, the solutions to the equation are:
Simplifying the above result, we get:
Answer: