Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
First, we will establish that the shape of the window is a semi-circle. This means we must use the formula for the perimeter of a semi-circle to obtain the perimeter of the window.
The formula for the perimeter of a semi-circle is as follows:
Let perimeter of window or semi-circle = P
P = [ 2( Pi )r / 2 ] + 2r
Where r = radius of circle or semi-circle
From this, we will simply use the value of the radius given from the diagram in the problem and substitute it into the formula to obtain the perimeter of the window.
P = [ 2( Pi )r / 2 ] + 2r
r = 20
THEREFORE:
P = [ 2( Pi )( 20 ) / 2 ] + 2( 20 )
P = 20( Pi ) + 40
P = 102.83...cm^2
P = 102.8cm^2 ( to the nearest tenth )
FINAL ANSWER:
Therefore, the perimeter of the window is 102.8cm^2 ( to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3
The inequality is 9 ( t + 5 ) < 6.
In mathematics, an inequality is a relation that makes a non-same comparison between two numbers or different mathematical expressions. It is used most often to examine numbers on the quantity line by using their length.
Inequality, In mathematics, is a declaration of an order relationship—greater than, extra than or same too, much less than, or much less than or identical to—between numbers or algebraic expressions.
The definition of inequality is a difference in length, amount, exceptional, social function, or another component. An instance of inequality is if you have ten of something and a person else has none.
Let t be the number.
We know that,
The phrase "5 more than a number t" is equal to adding the number t and 5
(t+5)
The phrase "the product of 9 and the quantity 5 more than a number t" is equal to multiplying 9 by (t+5)
9(t+5)
Less represent the symbol " < ".
Therefore,
The inequality that represents this problem is 9(t+5) < 6.
Learn more about inequality here brainly.com/question/11613554
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Answer:
1200
Step-by-step explanation:
4x6= 24
24x 5= 120
120x 10= 1200
Answer:
9 feet
Step-by-step explanation:
The height of the ball in feet is given by the polynomial:
where t is the time in seconds.
After 3 seconds, t = 3:
The height of the ball after 3 seconds is 9 feet.
P/90 = 4/18
18P = 90*4 [cross-multiplication]
P = 360/18
P = 20
So, answer is P equals to 20
