The digit in the tenths place is how many times as much as the value of the digit in the hundredths place of 0.77

Mathematics

1 answer:

exis [7]2 years ago

7 0

It is 10 times as much

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What is the solution for x in the equation 0.5x+4+0.9x=x+5

lorasvet [3.4K]

Answer: x=0.4

Step-by-step explanation:

0.5x + 4+0.9x = x+5

1.4x-x= +1

0.4x=1

X=0.4

Hope this helps

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A line with a slope of 1 passes through the point (1,6). what is its equation in slope-intercept form

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A rescue helicopter flew from its home base for 35 kilometers on a course of 330 degrees to pick up an accident victim. It then

artcher [175]

I've drawn a triangle to represent the journey (see attached.

The angle from Home to Victim to Hospital is:

a = $90 - (360 - 330) = 90- 30 = 60^o$

Using the cos rule, we can solve for the length x:

$a^2 = b^2 +c^2 - 2bccosA
\\x^2 = 35^2+25^2-2(35)(25)cos60
\\x^2 = 1850 - 875
\\x^2 = 975
\\x = \sqrt{975}
\\x = 31.2249...$

Using the cos rule, we can solve for angle b:

$a^2 = b^2 +c^2 - 2bccosA
\\35^2 = 31.22...^2+25^2-2(31.22...)(25)cosb
\\1225 = 975 + 625 - 1561.249...cosb
\\-375 = -1561.249...cosb
\\b = cos^{-1}( \frac{-375}{-1561.249...}) 
\\b = 76.1...$

So the bearing the helicopter has to travel is:

270 - 76.1 = <u>193.9 degrees (1 dp)</u>

And the distance it travels is <u>31.2 km (1 dp)</u>