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2 years ago

The area of the parallelogram below is ____ square meters.

Mathematics

1 answer:

insens350 [35]2 years ago

3 0

Answer:

Step-by-step explanation:

The formula for finding the area of a parallelogram is the same for finding the area of a rectangle/square. So basically:

6 × 8 = 48

The area of the parallelogram is 48

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Which are the solutions of x2 = –5x + 8?

Nostrana [21]

Answer:

As exact answers:

$x=\frac{-5-\sqrt{57} }{2}$ and $x=\frac{-5+\sqrt{57} }{2}$

As decimal answers:

x = -6.2749172 ≈-6.3

x = 1.27491722 ≈ 1.3

Step-by-step explanation:

For quadratic equations, you can use the quadratic formula. Rearrange the equation to standard from, which is ax² + bx + c = 0.

x² = –5x + 8

x² + 5x - 8 = 0

State the values for "a", "b" and "c",

a = 1; b = 5; c = -8

$x=\frac{-b±\sqrt{b^{2}-4ac} }{2a}$ (Ignore the Â, it's a formatting error)

$x=\frac{-5±\sqrt{5^{2}-4(1)(-8)} }{2(1)}$ Simplify

$x=\frac{-5±\sqrt{25-(-32)} }{2}$ Two negatives make a positive

$x=\frac{-5±\sqrt{57} }{2}$

Split the equation at the ± for plus and minus:

$x=\frac{-5+\sqrt{57} }{2}$ = 1.27491722 ≈ 1.3

$x=\frac{-5-\sqrt{57} }{2}$ = -6.2749172 ≈ -6.3

Therefore the solutions are 1.3 and -6.3.

6 0

2 years ago

Carlie’s Cell Phone Store has a gross income of $1,287,684 and deductions of $598,982. What is the federal corporate income tax?

slava [35]

Carlie's Cell Phone Store owes a total of $144,627 in taxes.

1.) $1,287,684 - $598,982 = $688,702
Due to Tax Cuts and Jobs Act of 2017, corporate tax rate is fixed at 21%. Hence:

2.) $688,702 * .21 = $144,627.42 or $144,627

7 0

2 years ago

Slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to c

Vitek1552 [10]

Answer:

0.9953, 3.3629<x<4.0371

Step-by-step explanation:

Given that slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to complete the form is normally distributed witha standard devait of the 30 minutes:

If X represents the time to complete then

X is N(3.7, 0.5) (we convert into uniform units in hours)

a) percent of people would you expect to complete the form in less than 5 hours

= $100*P(x$