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Flauer [41]
3 years ago
15

A 13-mater fire-truck ladder is leaning against a wall. Find the distance the ladder goes up the wall if it makes an angle of el

evation of 43 degrees.
Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0
So to complete this you need to choose either sin cos or tan.

You know the hypotenuse and Ф but need to find the opposite.

So you would choose to use sin.

Opposite = sinФ * hypotenuse:
Opposite = sin43 * 13 = 8.9.

It would go 8.9 meters up the wall.

<em><u /></em><u />Hope this helps.
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Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish i
natita [175]

<em>Answer:</em>

<em>There would be 173,535 lionfish after 6 years.</em>

<em>Step-by-step explanation:</em>

<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>

<em></em>

<em>A)</em>

<em>8000 x 1.67 ^ n = f  </em>

<em>B)</em>

<em>8000 x 1.67 ^ 6 = X</em>

<em>8000 x 21.691961596369 = X</em>

<em>173,535.692770952 = X  </em>

<em>C)</em>

<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>

<em>Therefore, there would be 173,535 lionfish after 6 years.</em>

5 0
2 years ago
Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par
ozzi

Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

8 0
2 years ago
Sorry for the bother help plz
Zepler [3.9K]

(6a^2)^3

6^3(a^2)^3

216(a^2)^3

216a^6

Answer: 216a^6

3 0
3 years ago
Read 2 more answers
Which undefined terms are needed to define a line segment
Finger [1]
Unsure of what you are asking!

But if the issue here is how to define a line segment, write what you do know and then reconsider "undefined terms."

A line segment is a straight line that connects a given starting point and given ending point.

If you consider a circle of radius 3 units, the radius can be thought of as the line segment connecting the center of the circle to any point on the circumference of the circle.

If the center of a given circle is at C(0,0) and a point on the circumference is given by R(3sqrt(2),3sqrt(2)), then AC is the line segment joining these two points.  This line segment has length 3 and is in the first quadrant, with coordinates x=3sqrt(2) and y=3sqrt(2) describing the end point of the segment.
3 0
3 years ago
Read 2 more answers
2^5×5×11 and 2^3×5^2×7​
IceJOKER [234]

Answer:

1. 1760

2. 1400

Step-by-step explanation:

2^5 = 32

32 × 5 = 160

160 × 11 = 1760

2^3 = 8

5^2 = 25

8 × 25 = 200

200 × 7 = 1400

4 0
3 years ago
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