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denpristay [2]
3 years ago
12

What is the measurement for the diameter of a circle with a circumference of 88 ft?

Mathematics
1 answer:
masha68 [24]3 years ago
3 0

Answer: 617 ft.

Step-by-step explanation: So first, the formula is A=C²/ 4π, knowing this, let's just plug in our numbers

A = C² /  4 · π

A = 88² /  4 · 3.14

A = 7744 /  4 · 3.14

A = 7744 /  12.56

A = 7744 /  12.56

A = 616.56

A ≈ 617

Hope this helps :)

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5x2 + 5x + 8 = 0 ?<br> What is the complex solution to the quadratic equation
emmainna [20.7K]

Answer:

\frac{-1+135i}{2}, \frac{-1-135i}{2}

Step-by-step explanation:

you use the quadratic equation:  (-b ± \sqrt{b2 - 4ac}) ÷ 2a

in this case, a = 5, b = 5, c = 8

inside the radical will be -135, hence using 135i where 'i' equals -1

3 0
3 years ago
Serafina put a total of 42 cupcakes into packages. She put 6 cupcakes into each package. What is the total number of packages Se
Sedaia [141]

Answer:

7

Step-by-step explanation:

42 divided by 6 = 7 packages

8 0
2 years ago
In triangle ABC, angle A=50°, angle C=65°. Point F is on AC such that, BF is perpendicular to AC. D is a point on BF (extended)
LiRa [457]

Answer:

The length of EF is 5.29

Step-by-step explanation:

If BC = 12 then;

FB = 12 × sin65 = 10.876

BA = FB/(sin50) = 10.876/(sin50) = 14.2

BD = AB (Sides of isosceles triangle) = 14.2

∴ DF = BD + FB = 10.876 + 14.2 = 25.07

∠F C D = tan⁻¹(D F/F C) =  tan⁻¹(25.07/(12×cos65)) = 78.6

∠F A D = tan⁻¹(D F/A F) =  tan⁻¹(25.07/(14.2×cos50)) = 70

∴ ∠D = 180 - (78.6° + 70°) = 31.4°

AE = AD × sin31.4° = 2×AB×cos(70° - 50°) × sin31.4

∴ AE =  2×14.2×cos(20°) × sin31.4 = 13.92

EC = AC × cos78.6° = (AB×cos50 + BC×cos65)×cos78.6° = 2.815

Therefore, from cosine rule, a² = b² + c² - 2·b·c × cos(A)

Hence, we have;

EF² = EC² + FC² - 2 × EC × FC ×cos∠FCD (Cosine rule)

That is, EF² = 2.815² + (12×cos65)² - 2 × 2.815× (12×cos65) ×cos78.6°

EF² = 27.98

∴EF = √27.98 = 5.29.

4 0
3 years ago
Solve the system of equations please:<br> y=(x^2)+3x-6<br> y=x+2
yawa3891 [41]

Answer:

(- 4, - 2 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 6 → (1)

y = x + 2 → (2)

Substitute y = x² + 3x - 6 into (2)

x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

7 0
3 years ago
Which expression shows the first step in dividing 4m – 1 by m?
Murljashka [212]
There should only be one step necessary

(4m-1) / m = 4 - 1/m
3 0
3 years ago
Read 2 more answers
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