8/11 x (5/9 - 1/6) ÷ 1 5/9
1 answer:
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We should choose mug 1 having volume of 71.24 inch³ ,with diameter 5.5 inches and height 3 inches holds the most !
<u>Step-by-step explanation:</u>
We have 2 mugs, One has a base that is 5.5 inches in diameter and a height of 3 inches. The other has a base of 4.5 inches in diameter and a height of 4 inches. Basically, mugs are cylinders so we will consider 2 cylinders .
To find which one holds the most we are supposed to find volume of both ,the one with maximum volume holds the most.
<u>Part 1: </u>
volume of cylinder 1 ()= πr₁²h₁ ,
r₁ = radius of cylinder ⇒
h₁ = height of cylinder ⇒ 3 inches
∴ = πr₁²h₁
⇒ 3.14×( 2.75 )²×3 ⇒ 71.24 inch³
<u>Part 2:</u>
volume of cylinder 2 ( )= πr₂²h₂
r₂ = radius of cylinder ⇒
h₂ = height of cylinder ⇒ 4 inches
∴ = πr₂²h₂
⇒ 3.14×( 2.25 )²×4 ⇒ 63.59 inch³
∵ ( 71.24 inch³ ) >
( 63.59 inch³ ), mug 1 with diameter 5.5 inches and height 3 inches holds the most.
Answer:
Step-by-step explanation
The given point tells us that the terminal side of
is in the fourth quadrant.
From the diagram in the attachment,
We can use the Pythagoras Theorem to find the length of the hypotenuse of the right triangle.
Let the hypotenuse be . Then,
Now we use the sine ratio;
.
But since the terminal side of is in the fourth quadrant, the sine ratio must be negative.
This implies that;
.
We rationalize the denominator to get;
.
