Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
Answer <span>D- (-10, -30)
y = 3x
-30 = 3(-10)
-30 = -30</span>
Answer:
8xy
Step-by-step explanation:
Answer:
you will save 7.50$ and the total sale will be 42.50
Step-by-step explanation:
Answer:
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The rewritten equation is:
" - 3x² + 30 + 225 = 0 " ;
which is ultimately simplified to:
" x² − 10 − 75 = 0 " .
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The number of days is: "15 days" .
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Explanation:
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Given:
h(x) = - 3x</span>² <span>+ 30 + 225 ;
Rewrite as: " </span>- 3x² + 30 + 225 = 0 " ;
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Multiply EACH SIDE of the equation by "-1" ; to get rid of the "-3" ;
-1 * {- 3x² + 30 + 225 = 0} ;
to get: " 3x² − 30 <span>− 225 = 0" ;
Divide EACH SIDE of the equation by "3" ; to simplify; since:
"3", "30", and "225" are divisible by "3" ;
{</span>3x² − 30 − 225} / 3 = 0 / 3 ;
to get:
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" x² − 10 − 75 = 0 " ;
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Let us factor:
-15 + 5 = -10 ;
-15 * 5 = -75 ;
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Rewrite as:
(x − 15) (x + 5) = 0 ;
x = 15; and x = -5 ;
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The number of days cannot be "negative value"; so we stick with:
"x = 15 days"
___________________________________________________
Answer: The rewritten equation is:
" - 3x² + 30 + 225 = 0 " ;
which is ultimately simplified to:
" x² − 10 − 75 = 0 " .
___________________________________________________
The number of days is: "15 days" .
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