Answer:
19 cm
Step-by-step explanation:
Given :
Volume, V = 205 to the √3 = 205^√3
Height, h = 8.9
radius, r
Volume of cylinder:
V = πr²h
205 to the square root of 3 10094.275
company is designing a new cylindrical water bottle. The volume of the bottle will be 205 cm to the square root of 3 cm. The height of the water bottle is 8.9 cm. What is the radius of the water bottle?
10094.275 = π * r² * 8.9
10094.275 = 3.14 * 8.9 * r²
10094.275 = 27.946r²
r² = 10094.275 / 27.946
r² = 361.20643
r = √361.20643
r = 19 cm
Answer:
total of 46.6 dollars
Step-by-step explanation:
8.60x1= 8.60
5x7.80= 39
Answer:
∠S = 151
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540
Or 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
This is the equation we will use to solve for x
Step 1 combine like terms
10x = 5x + 7x + 13x + 8x = 43x
-3 + 2 - 11 - 31 - 19 = -62
We now have 540 = 43x - 62
Step 2 add 62 to each side
-62 + 62 cancels out
540 + 62 = 602
we now have 602 = 43x
Step 3 divide each side by 43
43x / 43 = x
602 / 43 = 14
we're left with x = 14
Finally we plug in 14 for x in the given expression for ∠S
∠S = 13x - 31
* substitute 14 for x *
∠S = 13 ( 14 ) - 31
∠S = 13 * 14 = 182
182 - 21 = 151
Thus, ∠S = 151
Steps to solve:
10.2x + 9.4y when x = 2 and y = 3
= 10.2(2) + 9.4(3)
= 20.4 + 28.2
= 48.6
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Best Regards,
Wolfyy :)
