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2 years ago

What is the sum of the interior angles of the polygon shown below?

Mathematics

1 answer:

Len [333]2 years ago

3 0

Answer:

360

Step-by-step explanation:

Formula

Sides -2 ×180

4-2=2×180=360

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Suppose the point P = ( - 10,6) is reflected across the x-axis to the point P'.

mash [69]

Answer:

(-10,-6)

Step-by-step explanation:

When this point is reflected in the x-axis, the y-coordinates change from either positive to negative or negative to positive. The x-coordinates will not change.

Since the y-coordinates is originally positive, it will change to negative. Giving us our answer of:

(-10,-6)

5 0

2 years ago

Which expression is equivalent to 8x - 12y +32

prisoha [69]

The answer is shown above

6 0

2 years ago

Read 2 more answers

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b

Olegator [25]

Answer:

Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70

Step-by-step explanation:

We are given

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

$P=\frac{1}{10}x(300-x)$

provided that 0 ≤ x ≤ 200

We are given

profit is $1610

so, we can set P=1610

and then we can solve for x

$1610=\frac{1}{10}x(300-x)$

Multiply both sides by 10

$1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10$

$16100=x\left(300-x\right)$

$16100=300x-x^2$

$-x^2+300x-16100=0$

now, we can factor it

$(x-70)(x-230)=0$

we can solve for x

and we get

$x=70,x=230$

Since, x=230 does not lie on 0 ≤ x ≤ 200

So, we will consider only x=70

So,

Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70

7 0

3 years ago

What is (1.2 x 10^-2) x (3 x 10^5)

liraira [26]

Answer:

B. 3.6 x 10^3

Step-by-step explanation:

(1.2 x 10^-2) x (3 x 10^5)

When we multiply terms with powers , we multiply the factors out front and add the exponents

a * 10^b * c* 10^d = ac * 10^(b+d)

(1.2 x 10^-2) x (3 x 10^5) = (1.2* 3) * 10^(-2+5)

= 3.6 * 10 ^3

6 0

2 years ago

I need help with this:<br><br> The volume of a cube is 729 cubic units. What expression makes 729?

denpristay [2]

${9}^{3}$ ..nine cubed. If you multiply 9×9×9 you will get 729

7 0

2 years ago