Answer:
a) See below
b) 
c) 
Step-by-step explanation:
<u>Part A:</u>
We can draw 3 lines from A to D, B to E and F to C such that all of the lines pass from the center. This will form 6 equal (congruent) triangles.
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
<u>Part B:</u>
Area of each triangle = 1/2 (Base)(Height)
Where Base = 12 in. and Height = 10.4 in.
Area = 1/2 (12) (10.4)
Area = 6 (10.4)
Area of each triangle = 62.4 in.²
<u>Part C:</u>
Since the table is mage up of 6 equal triangles:
So,
Area of the table = 6 (Area of each triangle)
Area of the table = 6 (62.4)
Area of the table = 374.4 in.²
Hope this helped!
<h3>~AH1807</h3>
Step-by-step explanation:
Given: diameter = 16 in
hence radius, r is 16 ÷ 2 = 8 in
a) notice that the fan blades divide the circle into 3 equal sectors.
Each sector is hence 1/3 of the entire circumference of the circle
Arc Length of each sector (between blades),
= (1/3) x circumference
= (1/3) x 2πr
= (1/3) x 2 x 3.142 x 8
= 16.76 in (Answer)
b) similarly, the area between the blades
= (1/3) x πr²
= (1/3) x 3.142 x 8²
= 67.03 in² (answer)
c) The angular velocity is the radians per second that the tip moves
It is given that it moves 8π radians in 2 seconds
hence in 1 second, we expect the tip to move,
8π ÷ 2 = 4π rad/s (Answer)
The time spent by the repairman there will be 3 hours so the correct answer is option D.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195.
The time will be calculated as:-
Total amount = $195
Now the fixed consulting cost will be $60 and will be deducted from the
total amount.
Variable cost = 195 - 60 = 135
The $45 per hour charge so for $145 the time will be:-
Time = 135 / 45
Time = 3 Hours
Therefore the time spent by the repairman there will be 3 hours so the correct answer is option D.
To know more about relations follow
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Answer:
303.5 pounds
Step-by-step explanation:
If all the pallets weigh 4,856 together and each pallet weighs the same since they have equal cement and cement weight is equal, then 16 pallets will weigh 303.5 pounds each.
This is true because 4,856 / 16 = 303.5.
