<u>7.1 cm long is the arc</u><u> intersected by a central angle .</u>
What is length of an arc?
- The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
- Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
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15)
∠EAD ≅ ∠CAB . . . . . . reflexive property. An angle is congruent with itself.
∠AED ≅ ∠ACB . . . . . . given
ΔABC ≅ ΔADE . . . . . . angle-angle similarity: If two angles are congruent, all three angles are congruent and the triangles are similar.
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
Answer:
g
Step-by-step explanation:
Answer:
1. Start with $1 and then double the money you have everyday for 30 days. You would end up with 1,073,741,824 on the 30th day.
Step-by-step explanation:
Why you should choose the first option:
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1024
1024 x 2 = 2048
2048 x 2 = 4096
4096 x 2 = 8192
8192 x 2 = 16384
16384 x 2 = 32768
32768 x 2 = 65536
65536 x 2 = 131072
131072 x 2 = 262144
262144 x 2 = 524288
524288 x 2 = 1048576
1048576 x 2 = 2097152
2097152 x 2 = 4194304
4194304 x 2 = 8388608
8388608 x 2 = 16777216
16777216 x 2 = 33554432
33554432 x 2 = 67108864
67108864 x 2 = 134217728
134217728 x 2 = 268435456
268435456 x 2 = 536870912
536870912 x 2 = 1073741824
