Left side: 63, 72, 16 right side: 36, 4, 35
Absolute value of any number is always positive because it represent distance and distance will always positive.
To place chimney at least 30 feet , the distance along the width of the roof (x) will be x = 17.5 feet or x = 2.5 feet.
Since, The height of the roof is described by the function f(x)=−4/3|x−10| + 40
Since, minimum height is 30 feet.
So , substitute f(x)=30 in above expression.
30=−4/3|x−10| + 40
4/3|x−10| = 10
|x−10|=30/4
|x−10| = 7.5
Taking positive case,
x−10 = 7.5
x = 17.5 feet
Taking negative case,
x−10 = - 7.5
x = 10 - 7.5
x = 2.5 feet
Learn more:
brainly.com/question/14473339
Answer:
0.11
Step-by-step explanation:
You would convert the percentage to a fraction. Since the % symbol means 'out of 100', you would put 11 over 100: 11/100.
Then you would convert the fraction to a decimal: 0.11.
An easier way could also be to take the percentage and move it two decimal places to the right.
Ex: 43% moved two decimal places to the right would be 0.43.
I hope this helps!
Find out what half of 39° (angle ABD) Then subtract that from 180° (angle ABE). When the plain flus faster angle (ABD) gets smaller and angle (ABE) gets bigger. Hope that helps.
Answer:

Step-by-step explanation:
When
, we have
.
Combining like terms on the right side, we have
.
Finally, dividing by
we get
.
We note that
and
, so
.
So,
and we're done!