20 cm^3 : 1280 cm^3 =
ratio of larger figure to smaller figure is : 64 cm^3 : 1 cm^3....or 64:1
The surface area of the right cone with a radius of 3 meters and a slant height of 5 meters is 47.1 m².
What is surface area?
To calculate the surface area of the cone, we use the formula below.
Formula:
- A = πrl.............. Equation 1
Where:
- A = Surface area of the cone
- π = Pie
- l = Slight Height
From the question,
Given:
- l = 5 meters
- r = 3 meters
- π = 3.14
Substitute these values into equation 1
Hence, The surface area of the right cone is 47.1 m².
Learn more about surface area here: brainly.com/question/76387
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Answer:
<h2>
Tₙ = -3(2)ⁿ</h2>
Step-by-step explanation:
The explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹ where;
a is the first term of the geometric sequence
r is the common ratio
n is the number of terms
If a geometric sequence has a common ratio of 2 and the 12th term is −12,288, then;
T₁₂ = ar¹²⁻¹
T₁₂ = ar¹¹
Given T₁₂ = -12,288 and r = 2, we can calculate the first term a
-12,288 = a2¹¹
a = -12,288/2¹¹
a = -12,288/2048
a = -6
Since the explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹, then for the sequence given, the explicit rule will be;
Tₙ = -6(2)ⁿ⁻¹
Tₙ = -6 * 2ⁿ * 2⁻¹
Tₙ = -6 * 2ⁿ * 1/2
Tₙ = -3(2)ⁿ
Hence the explicit rule that describes this sequence is Tₙ = -3(2)ⁿ
9514 1404 393
Answer:
10%
Step-by-step explanation:
The percentage is found by multiplying the fraction by 100%.
savings/budget = 250/2500 × 100% = 10%
Evelyn has allocated 10% of her budget to savings.
