Answer:
The height of the another cylinder 'h' = 7
Step-by-step explanation:
<u>Explanation</u>:-
<u>Step 1:-</u>
Surface area of the cylinder = 2пrh + 2пr^2
Given radius of first cylinder is 20cm
given height of the first cylinder is 2 cm
The surface area of first cylinder is = 2пrh + 2пr^2
= 2п(20)(2)+2п(2)^2
= 4п(20+2)
The surface area of first cylinder is 88п
<u>Step 2</u>:
given data The surface area of first cylinder is 88п is same as second cylinder also
<u>Find the height of the second cylinder</u>
Given Radius of the second cylinder r = 4
Surface area of the cylinder = 2пrh + 2пr^2 = 88п
2п(4)h+2п(4)^2 =88п
on simplification we get
2п (4h+16) = 88п
after cancellation '2п' value and on simplification, we get
4h+16 = 44
4h = 44-16
4h = 28
h=7
Therefore the height of the another cylinder is 'h' =7
Answer:
Part a: From column 1 of the attached Wage and Tax statement, the gross pay is $34854.
Part b: From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.
Part c: It should be $2160.95 instead of $2164.44
Part d: It should be $505.38 instead of $467.68
Part e: FICA Tax is $2665.38
Part f: She owes the difference $16.52 to the Federal Tax.
Step-by-step explanation: As data was missing from the question, the complete question is found online and is attached herewith.
Part a: From column 1 of the attached Wage and Tax statement, the gross pay is $34854.
Part b:From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.
Part c:For 2012, Social Security Tax is given as 6.2% of the gross pay soItem 4 should then be6.2% x Gross Income6.2% x 34854.062 * 34854 = 2160.95It should be $2160.95 instead of $2164.44
Part d For 2012, Medicare Tax is given as 1.45% of the gross pay soItem 6 should then be1.45% x Gross Income1.45% x 34854.0145 * 34854 = 505.38 It should be $505.38 instead of $467.68Part eFICA tax is given as sum of Social security tax and Medicare taxes. This is given as FICA Tax=Social Security Tax+Medicare Tax
FICA Tax=$2160+$505.38
FICA Tax=$2665.38FICA Tax is $2665.38Part fFrom the attached table, with $32104 as the taxable income, as the head of household she owes $4199 in Federal tax.From the attached wages and tax statement in column 2, she paid $4182.48. Thus she owes the difference $16.52 to the Federal Tax.
Distributive property says 4 * a and 4 * -1 so 4a - 4 - 5 = 3a + 7
Now do the simple subtraction
-4 - 5 = -9
Then add 9 and subtract 3a <span>Remember: Always do the opposite operation to <span><em>both
</em><em />sides. So you have a = 16<em>
</em></span></span>
Answer:
Option D is correct.
Step-by-step explanation:
Given,
In ΔABC, ∠A = 42° , ∠B = 56° & a = 7
We use law of sines,
which has following expression:
First we find value of ∠C
∠A + ∠B + ∠C = 180° (Angle Sum Property of Triangle)
42 + 56 + ∠C = 180
∠C = 180 - 98
∠C = 82°
Now using law of sines, we get
Therefore, Option D is correct.