What is the sum of the measures of the exterior angles of a pentagon? Enter your answer in the box.

Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle.62 + 102 = 8236 + 100 = 64136 ≠

weeeeeb [17]

Answer:

Option 3rd is correct

No,

she should have added $6^2$ and $8^2$ and compared that to $10^2$

Step-by-step explanation:

In a right angle triangle, we use Pythagorean theorem.

Pythagorean theorem states that

the sum of the squares of two sides must equal the square of the third side(the side facing the right angle).

i.e, $\text{Hypotenuse side}^2=\text{sum of the square of two side}$

Given a triangle with side lengths 6, 10, and 8.

If we square all the given sides, we get;

$6^2 = 36$ ,

$8^2 = 64$

$10^2=100$

It can be seen that the sum of 36 and 64 is 100

⇒ $6^2+8^2 = 10^2$

which satisfies the Pythagorean theorem.

⇒ The triangle is right-angled with the side lengths 6 units and 8 units forming the right angle and the side length 10 units being the hypotenuse.

Therefore, her answer is incorrect, she should have added $6^2$ and $8^2$ and compared that to $10^2$

7 0

3 years ago

Read 2 more answers

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 15, −6) and

Len [333]

<x = 0 + 2t, y = 15 - 3t, z = -6 + 7t> is the vector parametric equation of the line parallel to the given one and that passes through the point (0, 15, −6).

According to the statement

we have to find that the vector equation with the help of the given line equation and the points.

So, For this purpose, we know that the

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

And the given points is (0, 15, −6) and the lines

x = −1 + 2t,

y = 6 − 3t,

z = 3 + 7t

From these equation of lines:

Let a = -1 and b = 6 and c = 3

Then

Now, if we want this line to pass through the point (0, 15, -6), then we can replace the correspondent values in the constant term for each equation:

So, Put it in the given equations then

x = 0 + 2t and y = 15 - 3t and z = -6 + 7t

and the vector equation become

So, <x = 0 + 2t, y = 15 - 3t, z = -6 + 7t> is the vector parametric equation of the line parallel to the given one and that passes through the point (0, 15, −6).

Learn more about vector parametric equation here

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7 0

1 year ago

How to do this question plz answer my question

Degger [83]

Answer:

$121.82

Step-by-step explanation:

Okay, this is kind of complex, so let's go step by step.

First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so $45\cdot100=4500$ m² is the area of the rectangle.

However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).

The area of a circle is represented by the formula $\pi r^2$