So you can use tan here, which is opposite/adjacent. (We're looking for the Adjacent)
Since we know Trail E is 1700, we're looking for the patch of trail A that is the adjacent. So if we put 42 into a tan calculator we get about 0.9.
So that means that 1,700 / adjacent = 0.9.
So we can also say
1,700/0.9 = adjacent
or, 1,700/0.9 = 1888.89
Now, we have the little patch of trail A in the smaller right triangle. We want to find the patch of trail A in the larger right triangle.
So just do 5,000 - 1,888.89
You get 3111.11
So if we know that's that, and we're looking for the hypotenuse, or Trail B, we can use cosine, because that's adjacent / hypotenuse.
So 42 in a cosine calculator is 0.74 ish.
So 3111.11 / hypotenuse = 0.74
Or 3111.11 / 0.74 = hypotenuse
Or 3111.11 / 0.74 = 4204
So Trail C should be 4204 feet long.
Answer:
The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
Step-by-step explanation:
In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is
(a + bi) + (c + di) = (a + c) + (b + d)i
Let us use this fact to solve our question
∵ The complex numbers are (8 - 4i) and (-2 + 7i)
∴ Their sum = (8 - 4i) + (-2 + 7i)
∵ The real parts are 8 and -2
∵ 8 + -2 = 8 - 2 = 6
∴ The sum of the real parts is 6
∵ The imaginary parts are -4i and 7i
∵ -4i + 7i = 3i
∴ The sum of the the imaginary parts is 3i
∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i
∴ (8 - 4i) + (-2 + 7i) = 6 + 3i
∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)
26 pounds
Because
E is the objects gravity in earth
M objects gravity on moon
E=km
Or
90=15k
90/15=15k/15
6=k
156=6m
156/6 =6m/6
26=m
Have a great day
Answer:
96,000
Step-by-step explanation:
To round to the nearest thousand, we need to look at the digit in the hundreds place, which is 6. Since 6 > 5, we know that we need to round up (because 6 is closer to 10 than it is to 0). Currently, the number is 95 thousand so when rounding up, the answer will be 96,000.
