Answer:
15 yd²
Step-by-step explanation:
The area (A) of a triangle is calculated using the formula
A = 
bh ( b is the base and h the perpendicular height )
here b = 10 and h = 3, hence
A = × 10 × 3 = 15 yd²
Answer:
-8x^2+17
Step-by-step explanation:
Evaluate the exponent.
1^3-8x^2+16
1-8x^2+16
Add the numbers.
17-8x^2.
Rearrange terms (final answer).
-8x^2+17.
Answer:
Step-by-step explanation:
Let
V
be the number of vertices of a polyhedron,
F
the number of faces of that polyhedron, and
E
be the number of edges. The quantity
χ
=
V
−
E
+
F
is called the Euler characteristic (of a polyhedron). In the case of convex polyhedra,
χ
=
2
.
Consider, for example, a tetrahedron (which is the simplest solid). It has 4 faces,
1
2
(
4
)
(
3
)
=
6
edges, and
1
3
(
4
)
(
3
)
=
4
vertices. Thus we have
V
−
E
+
F
=
4
−
6
+
4
=
2
.
Euler's formula holds for all Platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Since a cube and an octahedron are dual polyhedra (each is formed by connecting the centers of the faces of the other), their
V
and
F
values are equal to the
F
an
V
values of the other. (The same is true for the dodecahedron and icosahedron).
Answer:
1. 3/4 + 1/3 = 1 1/12
2. 1/6 + 2/3 = 5/6
3. 3/8 + 1/4 = 1/4
4. 1/3 + 2/5 = 11/15
5. 1/8 + 3/4 = 7/8
6. 2/5 + 7/10 = 1 1/10
7. 1/6 + 1/3 + 3/4 = 1
8. 1/10 + 3/10 + 3/5 = 1
9. 3/8 + 5/5 + 1/2 = 7/8
10. 11/16
Step-by-step explanation:
Make sure you have your decimal entered. Then press MATH and FRAC (it should be the first option). Then click ENTER to get your answer. (You may have to click enter twice)
