Answer:
Set equal to zero and solve for x
. The multiplicity of a root is the number of times the root appears.
x
=
−
1 (Multiplicity of 1
)
x
=
8 (Multiplicity of 1
)
x
=
−
2
5 (Multiplicity of 1
)
Step-by-step explanation:
Answer: 153.56
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Volume of a cone: 1/3 π r² h
Where r is the radius and h is the height (unknown)
Diameter = r x 2
8 = 2r
8/2 =r
r = 4
Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)
10 ² = h² + 4²
Solving for h
100 = h² + 16
100-16 = h²
84= h²
√84 =h
9.16= h
Back on the volume formula:
V= 1/3 π r² h
V =1/3 π 4² (9.16) =153.56
20f? Perimeter is simply all sides added up together.
Answer:
114 square meters
Step-by-step explanation:
The figure decomposes into two congruent trapezoids, each with bases 15 m and 4 m, and height 6 m. The area formula for a trapezoid is ...
A = 1/2(b1 +b2)h
__
Each trapezoid will have an area of ...
A = 1/2(15 +4)(6) = 57 . . . . square meters
The figure's area is twice that, so is ...
figure area = 2 × 57 m² = 114 m²
