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Kitty [74]
3 years ago
15

A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from th

e base of the platform. How long is the zip line? *
Mathematics
2 answers:
erma4kov [3.2K]3 years ago
4 0

Answer:

The correct answer is 202 feet.

Katen [24]3 years ago
3 0

Answer:

Solution given:

perpendicular distance =height [p]=40m

base or horizontal distance [b]=198m

Hypotenuse or zip line [h]=?

Now

By using Pythagoras law

h²=p²+b²

h²=40²+198²

h=√40804

h=202m

<u>So the Zip line is 202m long.</u>

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How is it possible to simplify 2 divided by (the square root of 6)? My calculator says that it is equal to (the square root of 6
Sauron [17]

Answer:

\boxed{\frac{\sqrt{6}}{3}}

Step-by-step explanation:

Multiply the fraction by \frac{\sqrt{6}}{\sqrt{6}}

\frac{2}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}} = \frac{2\sqrt{6}}{6}\\

Cancel the 2s

\frac{2\sqrt{6}}{6}= \frac{\sqrt{6}}{3}

∴ \boxed{\frac{2}{\sqrt{6}} = \frac{\sqrt{6}}{3}}

6 0
3 years ago
Travis runs an average of 25 miles per week give or take six miles. let m be the number of miles travis runs each week
Alinara [238K]
The number of miles Travis runs each week is I m - 25 I = 6<span>. 


Let </span><span> m be the number of miles Travis runs each week. Below is the solution:

</span><span>I m - 25 I = 6


19 </span>⇔ 25 ⇔ 31
3 0
3 years ago
Which simpler problems could be calculated to solve this problem?
Serggg [28]

Answer:

Option B

Step-by-step explanation:

We first need to calculate the total cost of all the four items then calculate the tip of the total cost. After this we add the tip to the cost of items and calculate change as follows.

Total cost of items

Cost of bottles =3*1.5=$4.5

Cost of sandwitches= $20

Total cost= 20+4.5=$24.5

Tip=0.08*24.5=$1.96

Total=24.5+1.96=26.46

Change= 30-26.46=$3.54

4 0
4 years ago
Read 2 more answers
ALL YOU NEED TO DO IS DRAW THIS!!!!! Circle ω1 with center K of radius 4 and circle ω2 of radius 6 intersect at points W and U.
maria [59]

Answer:

  WU = (14√13)/13 ≈ 6.6564

Step-by-step explanation:

Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.

Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.

KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.

The length of KB can be found several ways. One of them is to use the Pythagorean theorem:

  KB² = KW² +WB² = 4² +6² = 52

  KB = √52 = 2√13

The area of triangle KWB is ...

  area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units

Using KB as the base in the area calculation, we have ...

  area ∆KWB = (1/2)(KB)(WU/2)

  12 = KB·WU/4

  WU = 48/KB = 48/(2√13) = 24/√13

  WU = (24√13)/13 ≈ 6.6564

7 0
3 years ago
Mrs. Lowndes was building a play house for her grandson.
Vedmedyk [2.9K]

Answer:

21.25ft

Step-by-step explanation:

To solve for this, all you need to do is find a ratio proportional to the given. The given shows the following ratios:

\dfrac{2in}{5ft}=\dfrac{8.5in}{x}

All you need to do is solve for x. You can do this by first cross multiplying:

\dfrac{2in}{5ft}=\dfrac{8.5in}{x}\\\\2in(x)=8.5in(5ft)\\\\2xin=42.5in/ft\\\\Divide\;both\;sides\;by\;2in\\\\\dfrac{2xin}{2in}=\dfrac{42.5in.ft}{2in}\\\\x=21.25ft

8 0
4 years ago
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