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3 years ago

Tara standing 20 feet from a tree and the angle of elevation is 72°. About how tall is the tree?

Mathematics

1 answer:

Zinaida [17]3 years ago

4 0

Answer:

Approx 61.554 feet

Step-by-step explanation:

Since we are dealing with the opposite and adjacent sides, we will use tangent as our ratio.

Since the angle of elevation is 72 degrees, the left side of our equation is $tan(72)$ .

The right side of the equation is opposite over adjacent.

$x/20$

Set these equal to each other.

$tan(72) = x/20$

Simplify.

$20 tan(72)=x$

$20(3.078) = x$

x is approximately 61.554.

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Pam has taken 4 tests. She scored an 82, 94, 89 and 92. What would she need to score on her 5th test to have a mean of 90?

zavuch27 [327]

Answer:

Step-by-step explanation:

5*90 = 450

82+94+89+92 = 357

450-357 = 93

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3 years ago

Write an equation relating rate, distance, and time.

Jobisdone [24]

Answer:

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3 years ago

Find the slope of the line through the given potato.

Greeley [361]

The answer should be 1/2

You should write out the rest of the problem if the app doesn’t scan it right so you can get an accurate answer.

Explanation:

Every time x goes up by 6, y goes up by 3

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3 years ago

In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to

LekaFEV [45]

Answer: equation = dA/dt = K₁ (M - A) - K₂A

Step-by-step explanation:

Let us follow this carefully to get our equation right.

From the question we are told to (Assume the constants of proportionality for the rate at which material is memorized and the rate at which material is forgotten are k1 > 0 and k2 > 0, respectively. Use A for A(t) ).

The Rate of memorizing the material is ∝ [Total amount to be memorized] - [Amount memorized]

remember using A for A(t).

where A rep the amount memorized at a time t and M is the Total amount memorized.

so we have that dA/dt ∝ M - A

which is dA/dt = K₁ (M - A) ---------------(*)

remember it was stated that forgetfulness is taken into account

Forgetfulness, F ∝ A

F = K₂A --------------- (**)

which implies the rate of memorization is decreased as a result of forgetting;

this leads to

dA/dt = K₁ (M - A) - K₂A

The rate of differential equation is ⇒ dA/dt = K₁ (M - A) - K₂A

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3 years ago

a right triangle has a hypotenuse of 6 metres and one other of 3.4 metres. The length of the remaining side is closest to: a) 47

lesya692 [45]

The length of the other side is D) 4.9

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3 years ago