Congruent sides, so isosceles triangle. When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D. So x=ADB=90 degrees.
Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.
y = 90 - 47 = 43
Answer: x=90, y=43
Just set up 2 equations.
267 = 10(11) + 5(x) + 1(y)
x = y - 7
you can plug the second into the first and get
267 = 110 + 5(y - 7) + y
157 = 5y - 35 + y
6y = 192
y = 32
x = 32 - 7 = 25
thus, 32 $1's and 25 $5's
176 = a1 * r^4
704 = a1 * r^6
dividing:-
r^2 = 706/174 = 4 so r = +/- 2
a1 = 176 / 2^4 = 176/16 = 11
So 11 is the first term
Answer:
Number of bacteria after 36 hour (A) = 381 (Approx)
Step-by-step explanation:
Given:
Number of bacteria (p) = 2,000
Total time (n) = 36 hours
Decay rate = 4.5 % = 0.045 per hour
Find:
Number of bacteria after 36 hour (A)
Computation:

Number of bacteria after 36 hour (A) = 2,000[1-0.045]³⁶
Number of bacteria after 36 hour (A) = 2,000[0.955]³⁶
Number of bacteria after 36 hour (A) = 2,000[0.190599333]
Number of bacteria after 36 hour (A) = 381.19866
Number of bacteria after 36 hour (A) = 381 (Approx)