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Sveta_85 [38]
3 years ago
6

Find the volume of this regular hexagonal pyramid

Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0

Answer:

83 is the volume according to my best knowledge and remembrance of Geometry. I hope these calculations help!

Step-by-step explanation:

Since a right triangle is established upon the indication of the right angle marking, and the 50 degree marking is apparent around the one of the legs, the resulting angle of the right triangle unidentified is 40 degrees. Now, the formula is 1/3 × (the area of the base) × (the height), where finding the base area dictates that we apply Area = (3√3 s^2)/ 2, where s = side length, (3√3 (4)^2)/ 2 = 24√3, Substitution Property of Equality: 1/3 * 24√3 * x; find x, "the radius of a hexagon is equal to the length of one side" (mathblog), use the cosine ratio because cosine = adjacent over hypotenuse, cos(50) = 4 (according to the length of side equal radius of hexagon)/x = 6, 1/3 * 24√3 * 6 = 48√3 = 83 is the volume.

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An exterior angle of a triangle has a measure of 140 degrees. If the corresponding remote interior angles are congruent, what is
Alex17521 [72]

Answer:

See below, :)

Step-by-step explanation:

Hello!

From the exterior angle theorem, we know that an exterior angle is equal to remote interior angles added up. The exterior angle in this problem is 140 degrees so we also know that the remote interior angles are congruent. We can denote the interior angles as x and both combined is 2x.

Then we can create the equation:

2x = 140

x = 70

The two remote interior angles are 70 degrees.

The last interior angle is 180 - 140 = 40 degrees

6 0
3 years ago
Mrs. Galindo decided to make Kool-Aid to serve along with the pizza at the Future Farmers of America party. The directions said
docker41 [41]

Answer:

The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons

Step-by-step explanation:

Direction :

1/2 of a scoop + 2 gallons = 1 pitcher

Mrs. Galindo's students:

4 pitcher = 4 scoops + 2 gallons of water

Correct mixture for 4 pitchers:

1/2 scoop + 2 gallons of water =1 pitcher

For 4 pichers, multiply both sides by 4

1/2(4) scoops + 2(4) gallons of water =4 pitchers

4/2 scoops + 8 gallons of water =4 pitchers

2 scoops + 8 gallons of water =4 pitchers

The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons

5 0
3 years ago
Number that is greater than 714,587
Reptile [31]
That can be expressed algebraically as x >714,587
8 0
3 years ago
∠1 and ∠2 are a linear pair. m∠1 = x - 29, and m∠2 = x + 61. Find the measure of each angle. A) ∠1 = 74; ∠2 = 106 B) ∠1 = 74; ∠2
Ne4ueva [31]

Answer:

D)

Step-by-step explanation:

∠1 + ∠2 = 180 {linear pair}

x - 29 + x + 61 = 180   {add the like terms}

2x + 32 = 180   {subtract 32 from both sides}

2x + 32 - 32 = 180 - 32

2x = 148

x = 148/2

x = 74

∠1 = x - 29 = 74 - 29 = 45

∠2 = x + 61 = 74 + 61 = 135

8 0
4 years ago
Pls help me giving brainless.​
Natasha2012 [34]
The first day of the month would be the first saturday.

4 0
3 years ago
Read 2 more answers
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