After 6 hours they have descended 6×400 = 2400 feet. The change in elevation is -2400 feet.
Sin of an angle is opposite leg divided by hypotenuse.
sin B= 12 / 13
tan of an angle is opposite leg divided by adjacent leg
tan B= 12 / 5
cos of an angle is adjacent leg divided by hypotenuse
cos B= 5 / 13
<h2>
Greetings!</h2>
Answer:
x = 67.5
Step-by-step explanation:
Because AB and NP lines are parrallel, we can find out the scale factor by dividing size MA by MN.
This works because you find out what the MA size has to be multiplied to to get to MN, which will also work in reverse to find angle MB from MP.
71.5 - 22 = MA = 49.5
71.5 ÷ 49.5 = 
So to get to line MP length, line MB had to be multiplied by to get 97.5
The reverse of this is dividing 97.5 by :
97.5 ÷ 
= 67.5
So x = 67.5
<h2>Hope this helps!</h2>
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
Answer:
$135461.73
Step-by-step explanation:
140374.85 decrease 3.5% =
140374.85 × (1 - 3.5%) = 140374.85 × (1 - 0.035) = 135461.73025
