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kumpel [21]
3 years ago
11

Problem #32 I am not sure if I did this right can you check please and explain

Mathematics
1 answer:
Natasha2012 [34]3 years ago
6 0

Answer:

Step-by-step explanation:

It seems you got the right answer, but didn’t do the problem correctly.

The square root of 2 times the square root of 2 is 2. And then 6 times the square root of two minus the product of 6 and the square root of two equals zero. And then obviously 6 and -6 equals -36. So 2+-36 is -34

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Elias received a W-2 showing total compensations of $36,038. What is the amount of FICA tax he paid for the year? A) $522.55 B)
e-lub [12.9K]
FICA or Federal Insurance Contributions Act is composed of social security tax and medicare tax. Hence, we need to add these taxes to get the FICA tax.Social Security Tax is = 6.2%Medicare Tax is = 1.45%
Social Security Tax = 36,038*.062 = 2,234.356         Medicare Tax = 36,038*.0145 = 522.552
2,234.356 + 522.552 = 2,756.907 or 2,756.91
Therefore, Elias paid B.) 2,756.91 as FICA tax for the year.
3 0
3 years ago
Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with sides of lengths 119, 147,
stiks02 [169]

Answer:

$87,461

Step-by-step explanation:

Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft

where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.

S = (119 + 147 + 190) / 2 = 456/ 2 = 228

Using Heron's formula which gives the area in terms of the three sides of the triangle

= √s(s – a)(s – b)(s – c)

Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)

=> √228 (109)(81)(38)

= √228(335502)

=√76494456

= 8746.1109071 * $10

= 87461.109071

≈$87,461

Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.

6 0
3 years ago
A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?
Ber [7]

Answer: 12m^2+19m-18

Step-by-step explanation:

Given

Speed of boat v=3m-2\ \text{knots per hour}

\text{time t= }4m+9\ \text{hours}

\Rightarrow \text{Distance =speed}\times \text{time}

\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18

7 0
3 years ago
What is k in this question<br> k/1.5 = 3
Reptile [31]

Answer:k equals 4.5

Step-by-step explanation: you multiply 1.5 times three

3 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is about 13.9 cm. If you double the width of the rectangle the perimeter is about 17.8 cm. Find the
fredd [130]

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

If the initial perimeter of a rectangle is about 13.9 cm, then;

13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

13.9 - 17.8 = 2y - 4y

- 3.9 = -2y

y = 3.9/2

y = 1.95 cm

Substitute y = 1.95 into 1 to get x;

From 1;

13.9 = 2x + 2y

13.9 = 2x + 2(1.95)

13.9 = 2x + 3.9

2x = 13.9-3.9

2x = 10

x = 5 cm

Hence the dimension of the smaller triangle is 5cm by 1.95cm

7 0
3 years ago
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