Answer:

Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle plus the area of two semicircles
<u>The area of rectangle is equal to</u>

<u>The area of the small semicircle is equal to</u>

-----> radius is half the diameter
substitute

<u>The area of the larger semicircle is equal to</u>

-----> radius is half the diameter
substitute

The area of the figure is equal to

Trigonometry:
We know that csc x = 1 / sin x and π = 180°;
sin 5π/ 6 = sin 150° = 1/2
csc 2π / 3 = 1 / sin 120° = 1 / √3/2 = 2 / √3
Finally:
4 · 1/2 + 7 · ( 2 / √3 )² = 2 + 7 · 4/3 =
= 2 + 28/3 = 2 + 9 1/3 = 11 1/3
Answer:
x-intercept = 12, y-intercept = 4
Step-by-step explanation:
To find the x and y intercept, substitute 0 in for both values.
<u>Substitute 0 into x:</u>
2(0) + 6y = 24
6y = 24
<u>Divide each side by 6:</u>
y = 4
<u>Substitute 0 into y:</u>
2x + 6(0) = 24
2x = 24
<u>Divide each side by 2:</u>
x = 12
Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. Let's solve for the initial value of the linear function that represents thissituation.
=> 45 gallon aquarium at rate of 15 gallons per minute.
=> 45 gallon / 15 gallon = 3 minutes.
Therefore with the rate of 15 gallons per minutes, Hideki will be able to finish the 45 gallon aquarium in 3 minutes.
C and D
150(1+2.5) and 150(3.5)