9514 1404 393
Answer:
40 ft
Step-by-step explanation:
The post is 8/12 = 2/3 as tall as the shadow is long. We expect the same relationship holds for the tree.
tree height = (2/3)(shadow length) = (2/3)(60 ft) = 40 ft
The tree is 40 feet tall.
Answer:
Your answer is -256
Step-by-step explanation:
I assume your question amounts to finding the period of f(t)=8sin(4 pi t). A period L is a positive number such that f(t+L)=f(t) for all t. Since sin(x) is 2 pi perodic we can find the least number L such that 4pi(t+L)=4*pi*t+2*pi. Multiplying out we get
4pi(t+L)=4*pi*t+4*pi*L and we want to find L such that we get 4*pi*t+2*pi, notice if we take L=1/2 we get the desiered result 4*pi*t+4*pi*1/2=4*pi*t+2*pi. This proves that L=1/2 and your function has a period of 1/2.
Answer:
1 kg of 30% gold and 3 kg of 10% gold
Step-by-step explanation:
Let us take "x" kg of 30% gold, and
"y" kg of 10% gold
We need to make 4 kg of 15% gold, that would be:
4(15%) = 4 (15/100) = 4(0.15) = 0.6kg
We can now write an equation as:
30%x + 10%y = 4(0.15)
0.3x + 0.1y = 0.6 <u>(equation 1)</u>
Also, we know there will be 4 kg from "x" and "y", so we can write:
x + y = 4
or x = 4 - y
We substitute this into equation 1 and solve for y first:
0.3x + 0.1y = 0.6
0.3(4 - y) + 0.1y = 0.6
1.2 - 0.3y + 0.1y = 0.6
0.2y = 0.6
y = 3
And x = 4 - y, x = 4 - 3 = 1
So,
1 kg of 30% gold and 3 kg of 10% gold
Answer:
The answer is 13
Step-by-step explanation:
91 / 7 = 13
