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3 years ago

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From a point p on level ground, the angle of elevation of the top of a tree is 60°. If the tree is 39m high, how far is its base

from p

1 answer:

zzz [600]3 years ago

5 0

Hello,

tan 60°=√3
d/39=tan 60°==>d=39/√3=39√3/3=13√3=22,516660498... (m)

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A rectangle that measures 12 inches × 18 inches is cut into six identical squares by making three cuts. How many inches is the p

Valentin [98]

The perimeter of one of those six squares formed is 24 inches.

The rectangle measures 12 inches by 18 inches.

The rectangle is cut into six identical square by making three cut.

Therefore, let's find the area of the rectangle:

<h3>Area of a rectangle:</h3>

a = lw

a = 12 × 18 = 216 inches²

<h3>Area of a square:</h3>

a = l²

The square formed are 6 in numbers. Therefore,

6l² = 216

l² = 216 / 6

l = √36

l = 6 inches

The length of each square formed is 6 inches.

Therefore, the perimeter of each square formed is as follows;

4l = 4(6) = 24 inches

learn more on rectangle here: brainly.com/question/1392694?referrer=searchResults

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2 years ago

The eccentricity e of an ellipse is defined as the number c/a, where a is the distance of a vertex from the center and c is the

Anna71 [15]

Answer:

Check below, please.

Step-by-step explanation:

Hi, there!

Since we can describe eccentricity as $e=\frac{c}{a}$

a) Eccentricity close to 0

An ellipsis with eccentricity whose value is 0, is in fact, a degenerate one almost a circle. An ellipse whose value is close to zero is almost a degenerate circle. The closer the eccentricity comes to zero, the more rounded gets the ellipse just like a circle. (Check picture, please)

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1 \:(Ellipse \:formula)\\a^2=b^2+c^2 \: (Pythagorean\: Theorem)\:a=longer \:axis.\:b=shorter \:axis)\\a^2=b^2+(0)^2 \:(c\:is \:the\: distance \: the\: Foci)\\\\a^2=b^2 \\a=b\: (the \:halves \:of \:each\:axes \:measure \:the \:same)$

b) Eccentricity =5

$5=\frac{c}{a} \:c=5a$

An eccentricity equal to 5 implies that the distance between the Foci has to be five (5) times larger than the half of its longer axis! In this case, there can't be an ellipse since the eccentricity must be between 0 and 1 in other words:

$If\:e=\frac{c}{a} \:then\:c>0 , and\: c>0 \:then \:1>e>0$

c) Eccentricity close to 1

In this case, the eccentricity close or equal to 1 We must conceive an ellipse whose measure for the half of the longer axis a and the distance between the Foci 'c' they both have the same size.

$a=c\\\\a^2=b^2+c^2\:(In \:the\:Pythagorean\:Theorem\: we \:should\:conceive \:b=0)$

$Then:\\\\a=c\\e=\frac{c}{a}\therefore e=1$

7 0

2 years ago

What are the solutions to the quadratic equation (5y + 6)2 = 24?

Ivenika [448]

Answer:

y = $\frac{2\sqrt{6} }{5} -\frac{6}{5}$ OR y = $\frac{-2\sqrt{6} }{5} -\frac{6}{5}$

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = $\frac{2\sqrt{6} }{5} -\frac{6}{5}$ OR y = $\frac{-2\sqrt{6} }{5} -\frac{6}{5}$

And, those are the solutions to the equation.

7 0

3 years ago

Read 2 more answers

If x2 - 6x - 16, what are the x-intercepts?

romanna [79]

If that’s meant to be x^2 - 6x - 16
Then factorise to (x+2)(x-8)
So x intercepts are -2 and 8

8 0

3 years ago

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A cone and a cylinder have equal volume and bases of the same diameter if the height of the cone is 36 CM what is the height of

Oliga [24]

About 34 CM Height

Step By Step explanation

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3 years ago