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3 years ago

An airplane on autopilot took 7 hours to travel 4,914 kilometers. What is the unit rate for kilometers per hour?

Mathematics

1 answer:

nasty-shy [4]3 years ago

4 0

rate = 4907/7 = 701 km/hr

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The value of x from the given expression is; x= -2/3

<h3>Solving one-variable equations</h3>

The given expression is;

23(9x+6) = 6x + 4.

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3 years ago

Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

<u>the answer is</u>

the length of BD is 11.93 units

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An airplane on autopilot took 7 hours to travel 4,914 kilometers. What is the unit rate for kilometers per​ hour?

An airplane on autopilot took 7 hours to travel 4,914 kilometers. What is the unit rate for kilometers per hour?