What is the length of the hypotenuse of the triangle when x = 9?

Mathematics

2 answers:

melamori03 [73]2 years ago

7 0

The length of the hypotenuse is 60.8

In-s [12.5K]2 years ago

6 0

49’2and 36’2. 2491 and 1296. 2491 + 1296 = 3787. Square root 3787 is about 61.5. C = 61.5

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What’s the answer?and how do you get it

Kay [80]

the solid is made up of 2 regular octagons, 8 sides, joined up by 8 rectangles, one on each side towards the other octagonal face.

from the figure, we can see that the apothem is 5 for the octagons, and since each side is 3 cm long, the perimeter of one octagon is 3*8 = 24.

the standing up sides are simply rectangles of 8x3.

if we can just get the area of all those ten figures, and sum them up, that'd be the area of the solid.

$\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(5)(24)\implies \stackrel{\textit{just for one octagon}}{A=60} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{two octagon's area}}{2(60)}~~+~~\stackrel{\textit{eight rectangle's area}}{8(3\cdot 8)}\implies 120+192\implies 312$

7 0

3 years ago

What is the discriminant of 3x^2 - 10 = -2?

Tatiana [17]

The formula for the discriminant is b^2-4ac. The formula you wote is in the form of
ax^2+c=0, so first, you need to bring that -2 to the left. When you do that, you get (the original equation would be ax^2+bx+c but you have no bx.)

3x^2-8

So, since there's no b, it would be
b^2-4ac
0^2-4(3)(-8
-12 x -8
96

7 0

3 years ago

A circle has a radius of 3 cm. How does the circumference of the circle compare to the area? Drag and drop a phrase to correctly

Lilit [14]

The circumference is about 3.14 ( $\pi$ ) times bigger than twice the radius. Mathematically, this can be writted as $C = 2 \pi r$ , where C equals the circumference and r equals the radius, or $C = \pi d$ where C equals the circumference and d equals the radius.