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3 years ago

A zip line takes passengers on a 200 m ride from high up in the trees to a ground level platform. If the

Mathematics

1 answer:

attashe74 [19]3 years ago

7 0

The zip line forms a right triangle with the tree, when elevated

The height of the tree is 35 meters

<h3>How to calculate the height of the tree</h3>

Represent the height of the tree with h.

So, the height h is calculated using the following sine function

$\sin(10) = \frac{h}{200}$

Make h the subject

h = 200 * sin(10)

Evaluate the product

h = 35 meters

Hence, the height of the tree is 35 meters

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3 years ago

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lara [203]

Part A

1 day = 1/4 hours of practice

7 days = 7/4 hours of practice (multiply both sides by 7)

1 week = 7/4 hours of practice

1 week = (4+3)/4 hours of practice

1 week = (4/4)+(3/4) hours of practice

1 week = 1+(3/4) hours of practice

1 week = 1 & 3/4 hours of practice

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Part B

Take the result from part A, and multiply it with 60

So we'll have 60 times 1&3/4 on the left side on the first line, then 60*(1+3/4) on the right side of this same line.

The rest of the lines look like this

(60*1) + (60*3/4)

60 + 60*3/4

60 + 180/4

60 + 45

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3 years ago

At what points on the graph of f(x)=2x^3-6x^2-27x is the slope of the tangent line -9?

Dmitriy789 [7]

Answer:

(-1, 19) and (3, -81)

Step-by-step explanation:

f(x) = 2x³ − 6x² − 27x

f'(x) = 6x² − 12x − 27

-9 = 6x² − 12x − 27

0 = 6x² − 12x − 18

0 = x² − 2x − 3

0 = (x + 1) (x − 3)

x = -1 or 3

f(-1) = 19

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The points are (-1, 19) and (3, -81).

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3 years ago

Please help with this one.

quester [9]

Answer:

x = 7

Step-by-step explanation:

$\frac{3}{7} x + 5 = 8$

$\frac{3}{7} x = 8-5$

$\frac{3}{7} x = 3$

$x = 3 / \frac{3}{7}$

$x = 3 * \frac{7}{3}$ cancel 3

Then

$x = 7$

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3 years ago

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melomori [17]

Answer:

The answer is QR,RS, and ST

Step-by-step explanation:

i hope this helps .

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3 years ago

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