Answer:
Step-by-step explanation:
we know that
The volume of a cylinder is
In this problem we have
assume
substitute
The arc length traveled by the needle is 7.0904
Step-by-step explanation:
<u></u>
<u>Step 1</u>
In the above question are given that
The speedometer needle in a car is 2.5 inches long
The needle sweeps out an arc of 130°.
Let r be the length of the speedometer needle,So
r=2.5
m∠C=130°
<u>Step 2</u>
The formula for determining the area of the sector is
A=*
Where,the central angle is m°
and The radius is r
Substituting the value of m and r from the step 1 in the below equation we get
A=*
A= 0.3611**6.5=7.0904
Hence the value of the Area of the sector is = 7.0904
<u></u>
<u>Step 3</u>
<u>So, the arc length traveled by the needle </u><u> 7.0904 </u><u />
<u></u>
Answer:348
Step-by-step explanation:
Answer:
<u>(x² + 4x + 6)/ 3x + 12</u>
<u>This is the most simplified form</u>
Step-by-step explanation:
Let's simplify the expression:
(x + 6)/(x + 4) + (x - 3)/3
Least Common Denominator : 3 * (x + 4)
[3 * (x + 6) + (x - 3) (x + 4)]/ 3 * (x + 4)
Solving parentheses:
[3x + 18 + x² - 3x + 4x - 12]/ 3 * (x + 4)
Like terms:
<u>(x² + 4x + 6)/ 3x + 12</u>
<u>This is the most simplified form</u>