Answer:12.8
Step-by-step explanation:
Given:


To find:

Solution:


Substitute
.


Subtract 26° from both sides.


Divide by 2 on both sides, we get

Therefore, m∠1 = 35°.
Answer:
The height of the trough is about 1.5 ft
Step-by-step explanation:
If each cubic foot of water contains about 7.5 gallons.
Then; 315 gallons is about 
Let h be the height of the trough, then

This implies that;

Divide both sides by 28 to get:


The height of the trough is about 1.5 ft
Answer:
h = 3*tan(62) where h is the height
Step-by-step explanation:
You basically have a right triangle. the standing man is the vertical line, the shadow is the horizontal line and the 62 degrees is the angle betweenthe horizontal line and the hypotenuse.
So, relative to the angle we have the adjacent angle and opposite. What uses those? Tangent. tan(x) = opp / adj
tan(62) = h/3
h = 3*tan(62) where h is the height
Answer:
The roots of the given equation is x=4,3i,-3i
Step-by-step explanation:
The given cubic equation is

To find the roots we have to equate the equation to zero
ie, 
It can be done by using Synthetic division method
Therfore [tex](x-1) is not a factor or root
now put x=-1
Therfore [tex](x-1) is not a factor or root
similarly let x=2,-2,3,-3 all not equal to zero so the are not roots.
let x-4 is a factor of given equation
then it satifies the equation ie (x-4) is a root
And it may be written as
[tex](x-4)(x^2+9)