Find the value of n in each of the following statements

Find the sum of the measures of the interior angles of a polygon with 41 sides

Zolol [24]

Answer:

the formula is (n-2)180 degrees

so its 7020

8 0

2 years ago

What is the definition of acre

slamgirl [31]

Answer:

The definition of Acre is a unit of land area equal to 4,840 square yards (0.405 hectare). :)

Step-by-step explanation:

5 0

2 years ago

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A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle

Natali [406]

Answer:

$\sqrt{514} cm$ , 8cm, are both options

Step-by-step explanation:

For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

$15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm$

But if 17cm is the longest side then:

$a^2+15^2=17^2\\8^2+15^2=17^2\\a=8cm$

Hope this helps!

4 0

3 years ago

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The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

Fed [463]

Answer: y = f(x - 4) - 1, lower left corner

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Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

Shift 4 units to the right
Shift 1 unit down

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

3 0

3 years ago

At barlow school 4/9 of the 873 students are boys at willow school 2/3 of the 630 students are girls which school has the greate

marishachu [46]

Answer:

There are 178 more boys in Barlow school as compared to Willow school.

Step-by-step explanation:

We are given the following in the question:

Barlow school:

Total number of students = 873

Number of boys =

$=\dfrac{4}{9}\times 873 = 388$

Willow school:

Total number of students = 630

Number of girls =

$=\dfrac{2}{3}\times 630 = 420$

Number of boys =

Total number of students - total number of girls

$=630-420 = 210$

Thus, Barlow school has greater number of boys than Willow school.

Difference between the number of boys =

$=388-210\\=178$

Thus, there are 178 more boys in Barlow school as compared to Willow school.

7 0

3 years ago