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3 years ago

What is a rhombicosidodecahedron please answer

1 answer:

8 0

DescriptionIn geometry, the rhombicosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges. Wikipedia

Faces by sides: 20+30+12

Dihedral angle: 3-4: 159°05′41″ (159.09°); 4-5: 148°16′57″ (148.28°)

Symmetry group: Ih, H3,, (*532), order 120

Rotation group: I,+, (532), order 60

Properties: Semiregular convex

symbol: 3 5 | 2

References: U27, C30, W14
(sorry it’s so much reading)

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Given: Inscribed △ABC

nexus9112 [7]

Answer:

$AB=20\sin 80^{\circ}\approx 19.7\ in\\ \\AC=20\sin 65^{\circ}\approx 18.1\ in\\ \\BC=20\sin 35^{\circ}\approx 11.5\ in$

Step-by-step explanation:

In triangle ABC, OA = OB = OC = 10 in. These segments are radii of sircumscribed circle. So, R = 10 in.

The sum of all interio angles is 180°, so

m∠C=180°-35°-65°=80°

Use the sine theorem,

$\dfrac{AB}{\sin C}=\dfrac{AC}{\sin B}=\dfrac{BC}{\sin A}=2R$

Thus,

$\dfrac{AB}{\sin 80^{\circ}}=\dfrac{AC}{\sin 65^{\circ}}=\dfrac{BC}{\sin 35^{\circ}}=20$

Therefore,

$AB=20\sin 80^{\circ}\approx 19.7\ in\\ \\AC=20\sin 65^{\circ}\approx 18.1\ in\\ \\BC=20\sin 35^{\circ}\approx 11.5\ in$

7 0

3 years ago

Solve the linear equation. X + 5 = -2

Vladimir79 [104]

Answer:

$x=-7$

Step-by-step explanation:

So we have the equation:

$x+5=-2$

To solve, subtract 5 from both sides. This is the subtraction property of equality:

$(x+5)-5=(-2)-5$

The left side cancels:

$x=(-2)-5$

Subtract on the right.

$x=-7$

So, our answer is -7.

7 0

3 years ago

Read 2 more answers

A 40-cm spring will stretch (in cm) one third the weight (in kg) attached to it. How long will the spring be if a 15-kg weight i

r-ruslan [8.4K]

Answer: 45cm

Step-by-step explanation:

The spring stretches 1/3 of the weight attached. 1/3 of 15 is 5. However, the spring is already 40cm long so we must add 5 to 40 to find the total length and of the spring.

6 0

3 years ago

given that the two triangles are similar, solve x if AU=20x+108, UB= 273, BC= 703, UV= 444, AV= 372 and AC=589.

Firlakuza [10]

Does it have a picture?

6 0

3 years ago

Solve the following differential equation y "+ 2y"-y '-2y = 0

lakkis [162]

This is a incomplete problem...

8 0

3 years ago