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melomori [17]
2 years ago
10

The area of a regular hexagon inscribed in a circle with radius 2 is . Round your answer to the nearest tenth.

Mathematics
1 answer:
Verdich [7]2 years ago
6 0

Answer:

10.4 to nearest tenth.

Step-by-step explanation:

If we draw lines from the centre of the circle to each vertex of the hexagon we get 6  equilateral triangles  of side length 2.

Altitude of each triangle  = sqrt(2^2 - 1^2)

= sqrt3.

So the area of 1 triangle = 1/2 * 2 * sqrt3

= sqrt3

Therefore the area of the hexagon = 6 * sqrt3

= 6sqrt3

= 10.3923

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Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.
musickatia [10]

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

3 0
3 years ago
In 1999, there were 9860 Great Danes registered with the American Kennel Club. The number of registered Labrador Retrievers was
jekas [21]

Answer:

153,997 Labrador Retrievers

Step-by-step explanation:

Let's make an equation for this problem. We know that there were 9,860 Great Danes. The number of Labrador Retrievers was 6,997 more than 15 times the number of registered Great Danes. More than can be changed to a plus sign. 15 times the number of Great Danes is 15 times 9,860. The equation is now 15*9,860 + 6,997.

15*9,860 is 147,900

147,900 + 6,997 is 153,997.

7 0
3 years ago
Read 2 more answers
Five pounds of birdseed is used to fill 4 identical bird feeders.
enyata [817]

Answer:

a. We need 1/4 for each feeder  

b. To fill each feeder we need 1.25 pounds

c.  We need 60 ounces to fill three bird feeders

Step-by-step explanation:

Five pounds of birdseed is used to fill 4 identical bird feeders,  

a. We divide all the birdseed in 4 feeders, so,  we need 1/4 for each feeder.

b. If we use 5 pounds for the 4 feeders,  so each feeders will take 1/4 of the 5 pounds

=1/4 x 5=1.25 pounds

c. To fill three bird feeders we have to multiply the amount of pounds by feeder by 3 feeders

=1.25 pounds x 3

= 3,75 pounds

If 16 ounces are a pound

so,  16 x 3.75 = 60 ounces

8 0
3 years ago
Confused on the function and method for this... help me out please.
mezya [45]

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = \frac{opposite}{hypotenuse} = \frac{XY}{YZ} = \frac{7.5}{22.3} , then

∠ YZX = sin^{-1} ( \frac{7.5}{22.3} ) ≈ 19.7° ( to 3 significant figures )

8 0
2 years ago
X^2+15x+c is a perfect square trinomial, what is c?
Natalija [7]

Answer:

C equals 56.25

Step-by-step explanation: because all we have to do is 225 divided by 4. Hope this helps and can you make me brainliest. :)

3 0
2 years ago
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