Step-by-step explanation:
2a+26°+58°=180°
2a=180-26-58
2a=96
a=48
2*48+26=122
Answer:
It simply means getting rid of the square root or radical in the denominator
Step-by-step explanation:
Rationalizing the denominator simply means getting rid of the square root or radical symbol in the denominator thereby making the denominator to be just a whole number.
For example if we want to rationalize the denominator in; 3/√2
We will multiply the numerator and the denominator by √2 to get rid of the radical in the denominator which is the square root sign.
Thus;
(3/√2) × (√2)/(√2)
This gives;
(3√2)2
Draw a diagram:
from the top of the hill draw a line 18° above the horizontal to the top of the 30 ft pole.
From the top of the hill we draw a line 14° below horizontal to the bottom of the 30 ft pole.
We now have 2 right triangles sharing a common horizontal line,x, to the pole.
Let y=part of pole above horizontal line
30-y=part of pole below horizontal line.
We shall have the following equations:
y/x=tan 18
30-y/x=tan14
x=y/tan 18
x=(30-y)/tan 14
y/tan 18=(30-y)/tan 14
y tan 14=tan 18(30-y)
ytan 14=30tan 18-ytan18
y tan 14+y tan 18=30tan 18
y(tan 14+tan 18)=30*tan 18
y=(30*tan 18)/(tan 14+tan 18)
x=y/tan 18=30/(tan 14+tan10)=52.2423 ft
thus her distance x from the pole=52.2 ft
Answer:
9.570925464=9.56
Step-by-step explanation:
multiply the numbers:
109.25714×0.0876=9.569.570925464=9.56
(Just so you know i put this answer in the other question you asked.)
Hope this helps
