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Oxana [17]
2 years ago
7

A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places a mirror

on the edge of the pond across from the platform and stands back until the top of the platform is visible in the mirror. Use similar triangles to find the height of the platform.

Mathematics
1 answer:
tigry1 [53]2 years ago
3 0

Answer:

150 ft

Step-by-step explanation:

The diagram shown gives us a picture of two similar right triangle.

The height of the man is similar to the height of the platform.

To find the height of the platform, multiply the height of the man by the scale factor.

Scale factor = the ratio of any corresponding sides of two similar triangles.

Scale factor = 100 ft ÷ 4 ft = 25

Height of man = 6ft

Therefore, height of platform = 6 ft × 25 = 150 ft

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Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve
ikadub [295]

Answer:

=5x⁴+3x

=-2x+4

=8x+4

=-2x-4

Step-by-step explanation:

hope it's help

7 0
2 years ago
If a/b = 4/3 and b/c = 2/3, what is a,b, and c?
kaheart [24]

Answer:

.

Step-by-step explanation:

\frac{a}{b}  =  \frac{4}{3}

\frac{b}{c}  =  \frac{2}{3}

to give b from both equation the same value

\frac{a}{b}  =  \frac{4}{3}  \times   \frac{2}{2}  =  \frac{8}{6}

\frac{b}{c}  =  \frac{2}{3}  \times  \frac{3}{3}  =  \frac{6}{9}

a:b:c = 8:6:9

a = 8

b = 6

c = 9

7 0
3 years ago
Use the Newton-Raphson method to find the root of the equation f(x) = In(3x) + 5x2, using an initial guess of x = 0.5 and a stop
xxMikexx [17]

Answer with explanation:

The equation which we have to solve by Newton-Raphson Method is,

 f(x)=log (3 x) +5 x²

f'(x)=\frac{1}{3x}+10 x

Initial Guess =0.5

Formula to find Iteration by Newton-Raphson method

  x_{n+1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})}\\\\x_{1}=x_{0}-\frac{f(x_{0})}{f'(x_{0})}\\\\ x_{1}=0.5-\frac{\log(1.5)+1.25}{\frac{1}{1.5}+10 \times 0.5}\\\\x_{1}=0.5- \frac{0.1760+1.25}{0.67+5}\\\\x_{1}=0.5-\frac{1.426}{5.67}\\\\x_{1}=0.5-0.25149\\\\x_{1}=0.248

x_{2}=0.248-\frac{\log(0.744)+0.30752}{\frac{1}{0.744}+10 \times 0.248}\\\\x_{2}=0.248- \frac{-0.128+0.30752}{1.35+2.48}\\\\x_{2}=0.248-\frac{0.17952}{3.83}\\\\x_{2}=0.248-0.0468\\\\x_{2}=0.2012

x_{3}=0.2012-\frac{\log(0.6036)+0.2024072}{\frac{1}{0.6036}+10 \times 0.2012}\\\\x_{3}=0.2012- \frac{-0.2192+0.2025}{1.6567+2.012}\\\\x_{3}=0.2012-\frac{-0.0167}{3.6687}\\\\x_{3}=0.2012+0.0045\\\\x_{3}=0.2057

x_{4}=0.2057-\frac{\log(0.6171)+0.21156}{\frac{1}{0.6171}+10 \times 0.2057}\\\\x_{4}=0.2057- \frac{-0.2096+0.21156}{1.6204+2.057}\\\\x_{4}=0.2057-\frac{0.0019}{3.6774}\\\\x_{4}=0.2057-0.0005\\\\x_{4}=0.2052

So, root of the equation =0.205 (Approx)

Approximate relative error

                =\frac{\text{Actual value}}{\text{Given Value}}\\\\=\frac{0.205}{0.5}\\\\=0.41

 Approximate relative error in terms of Percentage

   =0.41 × 100

   = 41 %

7 0
2 years ago
98 points please help with math:
Cloud [144]

Answer:

y=5/6x+8

Step-by-step explanation

This is definitely parallel

3 0
3 years ago
Tabitha bought an antique model car priced at $72. She also had to pay 5% sales tax. What was the total amount she paid?
Pani-rosa [81]

Answer:

$75.6

Step-by-step explanation:

Multiply the model car's price by 105% (or 1.05) to find the total price.

$72 * 105% = $75.6.

5 0
2 years ago
Read 2 more answers
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