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Aleonysh [2.5K]
3 years ago
7

The diameter of a Frisbee is 12 in. What is the area of the Frisbee?

Mathematics
1 answer:
boyakko [2]3 years ago
4 0
The area of the Frisbee is 36π square inches or approximately 113.04 square inches.

Since the Frisbee is circular, its area can be solved by the equation:
A = πr^2 where r= diameter/2 = 6 in
A = 6*6π in
A = 36π square inches or approximately <span>113.04 square inches

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Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

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A. For what values of k does the function y = cos(kt) satisfy the differential equation 25y'' = −16y?
Oduvanchick [21]

Answer:

Step-by-step explanation:

Given y = coskt

y' = -ksinkt

y'' = -k²coskt

Substitute this y'' into the expression 25y'' = −16y

25(-k²coskt) = -16(coskt)

25k²coskt = 16(coskt)

25k² = 16

k² = 16/25

k = ±√16/25

k = ±4/5

b) from the DE 25y'' = −16y

Rearrange

25y''+16y = 0

Expressing using auxiliary equation

25m² + 16 = 0

25m² = -16

m² = -16/25

m = ±4/5 I

m = 0+4/5 I

Since the auxiliary root is complex number

The solution to the DE will be expressed as;

y = Asinmt + Bsinmt

Since k = m

y = Asinkt+Bsinkt where A and B are constants

6 0
3 years ago
What the answer now hurry up and answer fast question
sergey [27]

Answer:

927.0 cm²

Step-by-step explanation:

Step 1: find Z

m < Z = 180 - (28 + 118) (sum of ∆)

= 180 - 146

Z = 34°

Step 2: Find side XY using the law of sines

\frac{XY}{sin(34)} = \frac{42}{sin(28)}

Cross multiply

XY*sin(28) = 42*sin(34)

XY*0.469 = 42*0.559

Divide both sides by 0.469

\frac{XY*0.469}{0.469} = \frac{42*0.559}{0.469}

XY = 50.06

XY ≈ 50 cm

Step 3: find the area.

Area of ∆ = ½*XY*YZ*sin(Y)

XY ≈ 50 cm

= ½*50*42*sin(118)

= 25*42*0.8829

Area = 927.045

Area ≈ 927.0 cm² (nearest tenth)

5 0
3 years ago
1 A high school talent show lasted a total of t minutes. There were 2 intermissions that were each the length of 8 the talent sh
Sophie [7]

Answer:

I think f(t)=1/4t

Step-by-step explanation:

Because of you multiply 1/8 times 2, it gives you 1/4. Not 100% sure tho

4 0
3 years ago
3 students are 15% of what
geniusboy [140]

Answer:

20

Step-by-step explanation:

Calculate 10% of total = 3 / 1.5 = 2

Multiply by 10x since 10% is 1/10 of 100%

2 x 10 = 20

6 0
3 years ago
Which equation should be used to calculate the 43rd partial sum for the arithmetic sequence.
MariettaO [177]

Answer: First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms

6 0
2 years ago
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