It is 2 and 3/5 your welcome :)
∠BDC=30, so ∠CBD + ∠BCD=180-30=150
ΔDBC is isosceles, so ∠CBD=∠BCD=half of 150=75
∠ABC=∠ABD-∠CBD=155-75=80
ΔABC is isosceles, so ∠ABC=∠ACB=80
∠BAC=180-80-80=20
Answer:
96 square inches.
Step-by-step explanation:
From given picture we see that
BC=8 in
AD=10 in
Given that
AD=AB
Then AB=10 in
Apply Pythagorean theorem in triangle ABC to find AC






take square root

Then area of triangle ABC 

There are total 4 congruent triangles.
Then total area of the given figure = 4(24)=96 square inches.
Step-by-step explanation:
$15 initial fee. $2 per hour. $35 limit.
35 - 15 = 20
After the initial fee, he has $20 left.
20 ÷ 2 = 10
He can rent the metal detector for 10 hours.
Answer:
14.26
Step-by-step explanation:
7/3 x 5/3 x 11/3 = 7(5)11/(3³)
35 x 11 = 385/27
385 / 27 = 14.26