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3 years ago

Mike needs $1551 each month for bills

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

Answer:

He needs to net $30,468 to pay all expenses.

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I don't know what to do??

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3 years ago

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Line l has a slope of the line through which of the following pair of points is perpendicular to l?

gladu [14]

C) (7,7), (-5,4)
I hope it helps

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3 years ago

How would I solve this?

givi [52]

Answer:

The valid value of x is x=-2

Step-by-step explanation:

we know that

The sum of the interior angles of any quadrilateral must be equal to 360 degrees

$(7x^{2}-24x)+100+(24-46x)+(3x^{2}+56)=360$

solve for x

Combine like terms

$10x^{2}-70x+180=360$

$10x^{2}-70x-180=0$

Divide by 10 both sides

$x^{2}-7x-18=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-7x-18=0$

$a=1\\b=-7\\c=-18$

substitute in the formula

$x=\frac{-(-7)(+/-)\sqrt{-7^{2}-4(1)(-18)}} {2(1)}$

$x=\frac{7(+/-)\sqrt{121}} {2}$

$x=\frac{7(+/-)11} {2}$

$x=\frac{7(+)11} {2}=9$

$x=\frac{7(-)11} {2}=-2$

Remember that

The measure of the interior angle cannot be a negative number

For x=9

we have that the measure of one interior angle of quadrilateral is

$24-46x$

substitute the value of x

$24-46(9)=-390\°$

therefore

The value of x=9 cannot be a solution

For x=-2

The measure of the interior angles are

$(7(-2)^{2}-24(-2))=76\°\\100\°\\(3(-2)^{2}+56)=68\°\\24-46(-2)=116\°$

therefore

The valid value of x is x=-2

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3 years ago

Can anyone please help me this? stuck with this problem for hours

Art [367]

First time the area of the circle and the square.
The radius of the first is 4, so the area of the circle is 16pi.
The area of the square is 32.
You can subtract the area of the circle by the square because some most of the circle is being covered by the square.
16pi-32 is the area of the circle that is visible.
16pi-32:32 can be simplified to pi-2:2
So the probability that a randomly selected point within the circle falls in the white area is
pi-2:2 or in decimal terms, ≈1.14:2

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