distance = 500 feet
Since Δ VWX and Δ YZX are similar then the ratios of corresponding sides are equal, that is
=
= 
completing the required values gives
=
( cross- multiply )
60l = 30 × 100 = 3000 ( divide both sides by 60 )
l = 500
distance across the swamp is 500 feet
Answer:
- It's not possible to earn an A in the course
- I must have a 73 or MORE to earn a B in the course
Step-by-step explanation:
The average obtained at the end of the course will be:

Where x is the grade obtained in the final examination and av is the final average. To obtain an A, av has to be at least 90, av≥90, and to obtain an B, av has to be at least 80, av≥80
- Is an A in the course possible?
So, if we get 100 on the final average:
x = 100,
av = (85+78+84+100)/4 = 86,75 and 86,75∠90.
<em>Answer: No, the higher grade obtained would be 86,75.</em>
- What grade you must have in the final to earn a B in the course
To earn a B, av≥80:

<em>Answer: I must have a 73 or MORE to earn a B in the course</em>
Answer:
n = 4
Step-by-step explanation:
Given
10n + 2 = 7n + 14
Collect terms in n on the left side and numbers on the right side
Subtract 7n from both sides
3n + 2 = 14 ( subtract 2 from both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)
sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)
cos(α) = adjacent/hypotenuse
= 1/sqrt(3)
now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math