Answer:
Step-by-step explanation:
given that You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height.
the shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees, This forms a right triangle.
a) Other acute angle is 90-35 = 55 degrees
b) Height of the tree = 500 tan 35 =350.104 feet
c) Here height would be reduced to 350.104 - 5 = 345.104 feet.
Hence distance adjusted= 354.104 cot 35=492.8596 feet.
d) Yes because this is less than 500 feet.
e) height of 5 feet itself is sufficient here
Replace x and y in the equation with what they tell you x and y equal.
2(14) / 13 - 9(1/3)
Now simplify:
2 x 14 = 28
9 x 1/3 = 3
You now have:
28/13-3
Simplify again to het 28/10 this can be reduced to 14/5
Answer:
y= 5x-26
pretty sure this is right! if not let me know but im almost 100% sure this is correct
I)
Every 8.th voter gets a button:
so a sequence of the voters who receive a button is:
8, 16, 24, 32, .... that is 8*1, 8*2, 8*3, 8*4, .... in general: 8k for some integer k
ii)
Every 10.th voter gets a sticker, so the voters who receive stickers are the :
10, 20, 30, 40, .... voters that is 10*1, 10*2, 10*3, 10*4... in general 10t
for some integer t
iii) what we are looking for is the first number which is 8k and 10t at the same time.
8k=2*2*2k,
10t=2*5t
Thus this number must be divisible by 2*2*2*5*{some positive integer}
the smallest number is when the positive integer is 1, thus the number is
2*2*2*5=8*5=40
Answer: g. the 40th
1 1/3 + 5 2/9 = first find the lowest common denominator = 9
1 3/9 + 5 2/9 = 6 5/9