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3 years ago

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Convex hexagon ABCDEF has exactly two distinct side lengths. Side AB measures 5 units, and side BC measures 6 units. The perimet

er of hexagon ABCDEF is 34 units. How many sides of hexagon ABCDEF have measure 6 units?

1 answer:

stira [4]3 years ago

5 0

Answer:

4

Step-by-step explanation:

If all were measure 5, the perimeter would be 30. The perimeter is 4 more than that. Each side that is 6 instead of 5 adds 1 to the perimeter, so there are 4 sides of length 6.

_____

<em>Check</em>

2×5 + 4×6 = 10 + 24 = 34 . . . . the answer checks OK

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Equivalent ratio of 64:60

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An equivalent ratio of 64:60 is 16:15.

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A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the

jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76 cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76 cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

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3 years ago

Find the interior angle of a regular polygon which has 6 sides

AveGali [126]

Answer:

120°.

Step-by-step explanation:

The sum of all interior angles in a polygon with $n$ sides ( $n\in \mathbb{Z}$ , $n \ge 3$ ) is equal to $(n - 2) \cdot 180^{\circ}$ . (Credit: Mathsisfun.)

The polygon here has 6 sides. $n = 6$ . Its interior angles shall add up to $(6 - 2) \times 180^{\circ} = 720^{\circ}$ .

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

All sides in a regular polygon are equal in length.
All angles in a regular polygon are also equal.

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3 years ago

Which angle number represents an angle vertical to∠CHF?

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It should be angle DEH

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2 years ago

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Show full work asap!!!

zloy xaker [14]

Answer:

Stain required to stain the ramp = 2 quarts

Step-by-step explanation:

Area of the wheelchair ramp to be stained = Surface area of the ramp - Area of the rectangular base

Surface area of the ramp = 2(area of the triangular base) + (perimeter of the base)(height)

Area of the triangular base = $\frac{1}{2}(\text{Base})(\text{Height of the triangle})$

= $\frac{1}{2}(25)(\frac{25}{12})$

= $\frac{625}{24}$ in²

Perimeter of the triangular base = $25\frac{1}{12}+25+\frac{25}{12}$

= 25 + $\frac{1}{12}$ + 25 + $\frac{25}{12}$

= 50 + $\frac{26}{12}$

= 50 + $2+\frac{2}{12}$

= $52\frac{1}{6}$ ft

Surface area of the ramp = $\frac{625}{12}$ + $(52\frac{2}{12})\times 5$ - 25×5

= $\frac{625}{12}+\frac{3130}{12}-125$

= $\frac{3755}{12}-125$

= 187.92 square feet

Since, 100 square feet area is covered by the stain = 1 quart

Therefore, 187.92 square feet will be covered by the stain = $\frac{187.92}{100}$

= 1.8792

≈ 2 quarts

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3 years ago