The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
Answer:
No he is not correct. As the answer would be -2/5 = -0.4 and 5/-2 = -2.5 as the answer is also not opposite.
Answer:
0
Step-by-step explanation:
If ∑aₙ converges, then lim(n→∞)aₙ = 0.
Using ratio test, we can determine if the series converges:
If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.
If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) × (n! / 100ⁿ)|
lim(n→∞) |(100 / (n+1)|
0 < 1
The series converges. Therefore, lim(n→∞)aₙ = 0.
Answer:
B. 
Step-by-step explanation:
Well slope-intercept form is 
.
Let's start with the slope.
In this case, finding the slope is easy.
It should have a negative slope.
So we can cross out answer choices A. and C.
Also, we can cross out D. because it just makes no sense, -10/3, if you start from the y-intercept and go down 10 and across 3, yeah that's
not the slope.
So we can cross out D.
The only answer choice left is B.
We can tell the y-intercept is 1/2 because like come on so B is the correct answer.
B.
Answer:
See below
Step-by-step explanation:
equal probability each occurs 1 time out of 16 possibilities
tttt
ttth
ttht
tthh
thtt
thth
thhh
httt
htth
thth
<u>htht</u>
hthh
hhtt
hhth
hhht
<u>hhhh</u>
