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Alex_Xolod [135]
3 years ago
14

A giant tortoise can walk about 1\10 meter per second on land. A cooter turtle can walk about 1\10 meter per second in land. How

long would it take a giant tortoise to travel 5 meters? Show your work.
Mathematics
2 answers:
Yuri [45]3 years ago
8 0
50 seconds for a giant tortoise. 1/10 = 1 second = 10/10 = 10

50/10 = 50sec = 5meters
 
VashaNatasha [74]3 years ago
6 0
.1 meters/1 second = 5 meters/ x seconds
cross multiply
.1x= 5
solve for x, (divide 1 on both sides)
50 seconds= x
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10. Two lighthouses are located on a north-south line.
Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

\mathbf{\angle A = 180^o - 120^o\ 43'}

Convert to degrees

\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}

\mathbf{\angle A = 180^o - (120^o +0.717^o)}

\mathbf{\angle A = 180^o - (120.717^o)}

\mathbf{\angle A = 59.283^o}

\mathbf{\angle B = 39^o43'}

Convert to degrees

\mathbf{\angle B = 39^o + \frac{43}{60}^o}

\mathbf{\angle B = 39^o + 0.717^o}

\mathbf{\angle B = 39.717^o}

So, the measure of angle S is:

\mathbf{\angle S = 180 - \angle A - \angle B} ---- Sum of angles in a triangle

\mathbf{\angle S = 180 - 59.283 - 39.717}

\mathbf{\angle S = 81}

The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

Where:

\mathbf{AS = 3742}

So, we have:

\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

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Step-by-step explanation:

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Hope this helps!

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3 years ago
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scoundrel [369]
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4 years ago
In a cylindrical wooden block with a radius of 7 cm and a height of 14 cm, hemispherical blocks with
Sunny_sXe [5.5K]

9514 1404 393

Answer:

  1372π/3 cm^3 ≈ 1436.8 cm^3

Step-by-step explanation:

The diameter and height of the cylinder are both 14 cm. The resulting solid will be a 14 cm sphere. Its volume is ...

  V = 4/3πr^3 = 4/3π(7 cm)^3 = 1372π/3 cm^3 ≈ 1436.8 cm^3

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The piecewise function f(x) is defined below. What is the value of f(–2)?
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f(-2)=3, because f(x)=3 for -2\leq x\ \textless \ 0
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