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3 years ago

Based on your knowledge of right triangles and the Pythagorean Theorem, which statement is correct?

Mathematics

2 answers:

snow_lady [41]3 years ago

5 0

The answer is "The empty square has a side length of 10 and an area of 100 square units"

Rudik [331]3 years ago

5 0

Answer:

The 3rd Answer: The empty square has a side length of 10 and an area of 100 square units.

Step-by-step explanation:

The pythagorean theorem states that for any right triangle ith legs a and b and a hypotenuse of c that: $a^{2} +b^{2}=c^{2}$ therefore:

In the given right triangle if we apply this and see that $6^{2}+8^{2}=10^{2}\\$ meaning that the missing side must be 10. Because of this and the fact that the area of a square is $A=s^{2}$ then A=100 and it is obvious that: The empty square has a side length of 10 and an area of 100 square units.

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Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle

snow_lady [41]

StartFraction 3 pi Over 4 EndFraction radians

Step-by-step explanation:

Pi radians is equal to 180°

Given the minor arc angles as 135°, change this value to pi radians

180° =π radians

135° = ?

Cross multiply

135° * π radians / 180°

=135/180 * π radians

=3 π/4 radians

Learn More

Changing degrees to radians :brainly.com/question/12095161

Keywords: minor arc, measure, circle, line segment, radii, central angle

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

What is the nth term rule of the quadratic sequence below?<br> 6,12,20,30,42,56,72

const2013 [10]

Answer:

n(squared)^2 + 3n + 4.

Step-by-step explanation:

<h3>Sequence: 6, 12, 20, 30, 42, 56, 72.</h3>

First, lets find the first difference between the numbers. (In other words, let find the number gap difference between the first, second, third, fourth, fifth, sixth and seventh term).

In this case, it'll be..

first difference = 6.

second difference = 8.

third difference = 10.

fourth difference = 12.

fifth difference = 14.

sixth difference = 16.

Now we have the differences between the numbers, we need to do the second difference, which in this case is 3, meaning you have 3n.

Then, you would find out that n(squared)^2, is gonna be part one of your answer.

So, therefore so far we have in our answer: n^2 + 3n.

To then find the last part of our answer, we find our term 0. (The term before the first one given, in this case is 6).

So then you do you do your Term 1 = 6, and then take 2 away from it, giving you 4.

So, our final answer should be, n^2 + 3n + 4.

Hope :)

-Emilie Xo this is right and it helps! Xo

3 0

3 years ago

Read 2 more answers

Hayleys meal at Sun Bistro cost $20.36, not including tip. If Hayley wants a 16% tip, how much should she pay? Round to the near

Serga [27]

She should pay $23.62 because 100% times 0.2036 equals 20.36. Do that with the 16% to get about 3.26. Add that to 20.36 to answer your question.

6 0

3 years ago

Sandra ran a mile race in 7.06 minutes. Joanne finished the race in 7.60 minutes.

olya-2409 [2.1K]

The correct answer is A. Sandra ran a faster time.

7.06 is less than 7.60

Hope this helps!

5 0

3 years ago

Read 2 more answers

Evaluate the surface integral. s x ds, s is the part of the plane 6x + 3y + z = 6 that lies in the first octant.

Musya8 [376]

The plane has intercepts at (1, 0, 0), (0, 2, 0), and (0, 0, 6), so we can parameterize the surface $\mathcal S$ by

$\mathbf r(u,v)=((1,0,0)(1-u)+(0,2,0)u)(1-v)+(0,0,6)v$
$\mathbf r(u,v)=((1-u)(1-v),2u(1-v),6v)$

where $0\le u\le1$ and $0\le v\le1$ . Now

$\|\mathbf r_u\times\mathbf r_v\|=2\sqrt{46}(1-v)$

so the surface integral reduces to

$\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{46}\int_{v=0}^{v=1}\int_{u=0}^{u=1}(1-u)(1-v)^2\,\mathrm du\,\mathrm dv=\frac{\sqrt{46}}3$

4 0

4 years ago