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Oksi-84 [34.3K]
3 years ago
14

What is the measure of the central angle of a circle with radius 30 centimeters that intercepts an 18π centimeters arc?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0
If radius = 30, the circumference = 2*PI *radius = <span> <span> <span> 188.4955592154 </span> </span> </span> cm
The arc = 18*PI cm = <span> <span> <span> 56.5486677646 </span> </span> </span>
The arc is (<span> 56.5486677646 / </span><span><span>188.4955592154) = one third of the
</span></span><span><span>
</span></span><span><span>circumference and so it subtends a central angle of 120 degrees. 
</span></span><span><span>
</span></span><span><span>
</span></span>
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Write the product using exponents. (1/3.(1/3)(1/3) Using exponents, the product is​
Marta_Voda [28]

Answer:

The answer is 1/3 to the power of 3

Step-by-step explanation:

4 0
3 years ago
A company can make 12 printing presses for $78,600. It can make 19 printing presses for $82,380. Find the linear equation that m
8_murik_8 [283]

Answer:

C(x) = 540x + 72120

Step-by-step explanation:

Given

Cost = $78,600 when Printing Press = 12

Cost = $82,380 when Printing Press = 19

Required

Determine the linear equation

From the given parameters; Cost is a function of Printing Press

<em>Represent Cost by C and Printing press by x;</em>

<em>This implies that C = f(x)</em>

The given parameters can then be modeled as; (x, C)

(x_1, C_1) = (12,78600)

(x_2, C_2) = (19,82380)

The first step is to calculate the slope, m;

m = \frac{C_1 - C_2}{x_1 - x_2}

m = \frac{78600 - 82380}{12 - 19}

m = \frac{-3780}{-7}

m = 540

The linear equation can then be calculated using slope formula

m = \frac{C- C_2}{x - x_2}

Substitute 540 for m and (x_2, C_2) = (19,82380)

540 = \frac{C- 82380}{x - 19}

Multiply both sides by x - 19

540 * (x-19)= \frac{C- 82380}{x - 19} * (x-19)

540 * (x-19)= C- 82380

Open bracket

540x - 10260 = C - 82380

Add 82380 to both sides

540x - 10260 + 82380= C - 82380 + 82380

540x - 10260 + 82380= C

540x + 72120= C

C = 540x + 72120

Hence;

C(x) = 540x + 72120

4 0
3 years ago
Can someone help? Solve for x
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Answer:

<em>D) Isometría</em>

Step-by-step explanation:

Hola, D es la respuesta correcta porque la isometría no es una transformación isométrica, veamos por qué.

Una Transformación Isométrica es el cambio de forma, pero no por tamaño ni forma de la figura.

A. La traslación es una transformación isométrica porque desliza la figura a otro lugar, sin afectar su forma o tamaño.

B. La simetría es una transformación isométrica porque técnicamente es un reflejo, una vez más no afecta el tamaño o la forma de la figura.

C. La rotación es una transformación isométrica porque gira la figura, sin afectar el tamaño o la forma de la figura.

E. La teselación es una transformación isométrica porque une la misma forma, sin afectar el tamaño o la forma de la figura.

Dejándonos con D.

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Answer:

72

Step-by-step explanation:

216/3=72 in each bus.

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3 years ago
Read 2 more answers
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