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melomori [17]
3 years ago
15

A 20-foot piece of wire is attached from the top of a flagpole to a stake in the ground 7 feet from the base of the pole. Find t

he height of the flagpole.
Mathematics
1 answer:
julsineya [31]3 years ago
4 0

Answer:

18.73 feets

Step-by-step explanation:

Given that:

Horizontal distance between ground and foot of flagpole = 7 feets

Lenght of wire = 20 feets

The height of the flagpole, h can be obtained using Pythagoras :

Adjacent = sqrt( hypotenus² - opposite²)

Height of flagpole = sqrt((length of wire)² - (horizontal distance between ground and flagpole)²)

Let height of flagpole = h

h = sqrt(20² - 7²)

h = sqrt(400 - 49)

h = sqrt(351)

h = 18.73 feets

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gavmur [86]

Answers:

Domain = [-3, 3]

Range = [-1, 2]

=============================================

Explanation:

The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.

Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that -3 \le x \le 3 meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".

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The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is -1 \le y \le 2 which converts to the interval notation of [-1, 2]

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3 years ago
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-4, -2), B(-2, -2), C(-2,
vladimir2022 [97]

Answer:

The area of rectangle ABCD is 18\ units^2

Step-by-step explanation:

Plot the figure to better understand the problem

we have the vertices

A(-4, -2), B(-2, -2), C(-2, 7), D(-4, 7)

see the  attached figure

The area of the rectangle is equal to

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W is the width

In this problem we have

L=BC=7-(-2)=9\ units ---> difference of the y-coordinates

W=AB=-2-(-4)=2\ units ---> difference of the x-coordinates

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4 years ago
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For the letter a it is x = 24

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We ignore the negative so x = 80 ft.

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