690
12×36 + 258 = 690 For extending to 20 characters
Answer:
D
Step-by-step explanation:
Answer: Angles A and B are complementary angles
If Sin A ≈ 0.766 then Cos B ≈ 0.766.
If Cos B ≈ 0.766 then Sin A ≈ 0.766
Step-by-step explanation: In any given right angled triangle, one angle measures 90 degrees while the addition of the other two angles equals to 90 degrees. Hence if angle C is given as 90 degrees, then angles A and B added together equals 90 degrees (complementary angles equal 90 degrees).
Also, Sin A cannot be the same value as Sin B, since angle A and angle B are not equal in measurement. However, being complementary, the Sin of angle A equals the Cos of angle B.
If Sin A ≈ 0.766, then angle A ≈ 50 degrees
That makes angle B equal to 40 degrees. The Cos of B ≈ 0.766
Therefore if Sin A ≈ 0.766, then Cos B ≈ 0.766
If Cos B ≈ 0.766 then Sin A ≈ 0.766 are both correct
PART - A : tent - 1 volume = 400 cubic ft
Tent -2 volume = 384 cubic ft.
PART - B : I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume
<u>Step-by-step explanation:</u>
PART - A:
tent 1 :
Base = 10 x 10ft
Height= 12 ft
Volume = (1/3) (10x 10) (12)
= (1/3) (100) (12)
= 400 cubic ft.
Tent 2:
Base = 12 x 12 ft
Height= 8 ft.
Volume = (1/3) (12 x 12) (8)
= 384 cubic ft.
PART - B:
I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume
Answer: 8.5 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) =18/100 = 0.18
t= years
A = population after t years
Replacing with the values given:
192,000 = 47,000 (1+ 0.18)^t
Solving for t:
192,000/47,000 = 1.18^t
4.08 =1.18^t
ln 4.08 = ln 1.18^t
ln 4.08 =t (ln 1.18)
ln 4.08 / ln 1.18 =t
8.5 years = t
Feel free to ask for more if needed or if you did not understand something.
