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2 years ago

9

What is the perimeter of the smaller pentagon

1 answer:

Mice21 [21]2 years ago

6 0

5 cm since a pentagon has 5 sides just multiply one side by 5

1x5=5

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Jack is flying his kite . He runs 100 feet away from his house and lets out 45 feet of string . The angle of elevation from the

fiasKO [112]

Answer: 125.80 ft

Step-by-step explanation:

Asuming the described situation is as shown in the figure below, we need to find the distance $h$ between the kite and Jacks house, but first we need to find the $x$ , $y$ and then $d$ .

How?

We will use trigonometry, especifically the trigonometric functions sine and cosine:

For $y$ :

$sin(65 \°)=\frac{y}{45 ft}$ (1)

Where $y$ is the opposite side to the angle and $45 ft$ the hypotenuse.

Isolating $y$ :

$y=40.78 ft$ (2)

For $x$ :

$cos(65 \°)=\frac{x}{45 ft}$ (3)

Where $x$ is the adjacent side to the angle.

Isolating $x$ :

$y=19.017 ft$ (4)

Finding $d$ :

$d=x+100 ft$ (5)

$d=19.017 ft +100 ft$

$d=119.017 ft$ (6)

Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house $h$ and the sides are the values calculated in (4) and (6).

So, in this case we will use the <u>Pithagorean theorem</u>:

$h^{2}=y^{2} +d^{2}$ (7)

Isolating $h$ and writing with the known values:

$h=\sqrt{y^{2} +d^{2}}$ (8)

$h=\sqrt{(19.017 ft)^{2} +(119.017 ft)^{2}}$ (9)

$h=125.80 ft$ This is the distance between the kite and the house

3 0

3 years ago

What is the sum of 8-2·3+7

Anni [7]

Answer:

the sum is 24

hope this helps

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Dont Need Help Just Trying To Give Points 20+20=????

Elenna [48]

Thanks Lots! You're awesome

4 0

3 years ago

If the 4th term of an A.P is 11 and sum of 4th and 5th term is 25. Find the common difference?

ira [324]

Answer:

$3$

Step-by-step explanation:

4th term+5th term = $25$

5th term = $x$

4th term = $11$

$11+x=25$

$x=25-11$

$x=14$

5th term= $14$

Common difference = 5th term - 4th term

$14-11$

$=3$

8 0

3 years ago

Outside the function

boyakko [2]

The coordinate notation that describes the function transformation is:

$(x,y) \to (A(x - C)+D, y)$

The function notation is given as:

$g(x) = A\cdot f(x - C) + D$

<h3>Function transformation</h3>

This involves changing the position and form of a function in a coordinate plane

To represent the above transformation using the coordinate notation, we start by shifting the function f(x) C units right.

So, we have:

$(x,y) \to (x - C, y)$

Next, we stretch the resulting function by factor A.

So, we have:

$(x,y) \to (A(x - C), y)$

Lastly, we shift the resulting function up by D units

$(x,y) \to (A(x - C)+D, y)$

Hence, the coordinate notation that describes the function transformation is:

$(x,y) \to (A(x - C)+D, y)$

Read more about function transformation at:

brainly.com/question/1548871

4 0

2 years ago