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3 years ago

Help me....................

Mathematics

2 answers:

goblinko [34]3 years ago

8 0

Answer:

help me plssssssssssssss...

NeX [460]3 years ago

7 0

Answer:

it's 18+21 so 39

Step-by-step explanation:

anymore help ?

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Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘.

stiv31 [10]

Answer:

681 feet

Step-by-step explanation:

Let x represent the distance between campsite and the base of the cliff.

We have been given that Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘. We are asked to find the distance between campsite and the base of the cliff.

We can see that angle of depression forms a right triangle with respect to ground, cliff and campsite.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(10^{\circ})=\frac{120}{x}$

$x=\frac{120}{\text{tan}(10^{\circ})}$

$x=\frac{120}{0.176326980708}$

$x=680.5538183559$

Upon rounding to nearest foot, we will get:

$x\approx 681$

Therefore, the campsite is 681 feet away from the base of the cliff.

4 0

3 years ago

The variables y and x have a proportional relationship, and y = 28 when x = 21.

Kipish [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Consider a rat going through a maze, and each time the rat begins the maze he has 30% chance of finishing successfully. The rat

seropon [69]

Answer:

3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Step-by-step explanation:

For each time that the rat goes through the maze, there are only two possible outcomes. Either he fails it, or he succeds. The trials are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$