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3 years ago

What are complementary angles

Mathematics

1 answer:

Assoli18 [71]3 years ago

7 0

Answer:

Complementary angles are two angles that add up to 90 degrees.

Example: 45 + 45 = 90 are complimentary

60 + 30 = 90 are complimentary

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The endpoints of the side of a square lie on the circle and the opposite side of the square tangent to the circle at its midpoin

alexandr402 [8]

Answer:

$\displaystyle \frac{L}{r}=\frac{8}{5}$

Step-by-step explanation:

Circle and Square

We have a geometric construction as shown in the image below. We can see that

$\displaystyle r+h=L$

Or, equivalently

$\displaystyle h=L-r$

The triangle formed by r,h and L/2 is right, because the opposite side of the square is tangent to the circle at its midpoint. This means we can use Pythagoras's theorem:

$\displaystyle r^2=h^2+\left(\frac{L}{2}\right)^2$

Replacing h

$\displaystyle r^2=(L-r)^2+\left(\frac{L}{2}\right)^2$

Expanding squares

$\displaystyle r^2=L^2-2Lr+r^2+\frac{L^2}{4}$

Simplifying

$\displaystyle 2Lr=L^2+\frac{L^2}{4}$

Multiplying by 4

$\displaystyle 8r=4L+L$

Joining terms

$\displaystyle 8r=5L$

Solving for the ratio L/R as required

$\displaystyle \frac{L}{r}=\frac{8}{5}$

5 0

3 years ago

Which polynomial is prime?

andriy [413]

Answer: D. 2x4+x3–x+2 is prime

Step-by-step explanation:

7 0

3 years ago

THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help wit

aalyn [17]

5. 37.7ft
8.28.7cm
hope this helps!!!

7 0

3 years ago

Answer these please!! :( a) 5 + (-4) b) -9 + 16 c) 10 + (-14)

slamgirl [31]

Answer:

a. 1

b. 7

c. -4

Step-by-step explanation:

a. 5 + (-4)

= 5 - 4

= 1

b. -9 + 16

= 7

c. 10 + (-14)

= 10 - 14

= - 4

If you further explanation how it come then please tell.

6 0

2 years ago

12 1/2 ft= something inches

lora16 [44]

Answer:

150 in

Step-by-step explanation:

there are 12 in in a foot. There are 12 feet so 12*12=144. Then you add 6 because half a foot is 6 in which will give you 150 in

4 0

3 years ago

Read 2 more answers