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Ahat [919]
3 years ago
11

How do you solve (Arc)QPT if <QZT = 120

Mathematics
1 answer:
yuradex [85]3 years ago
7 0
By definition, the arc length is given by:
 arc = R * theta * ((2 * pi) / 360)
 Where,
 theta: angle in degrees
 R: radio
 We have then:
 (Arc) QPT if <QZT = 120:
 theta = 360-120 = 240 degrees
 R = 13.5 units
 Substituting values we have:
 (Arc) QPT = R * theta * ((2 * pi) / 360)
 (Arc) QPT = (13.5) * (240) * ((2 * pi) / 360)
 (Arc) QPT = 56.55 units
 Answer:
 
(Arc) QPT = 56.55 units
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dedylja [7]
X+7.5=21.5
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hope this helps good luck have a nice day
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Answer:

7 \leq n

Step-by-step explanation:

28 \leq 4n

divide by 4 on both sides

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Consider the experiment where a pair of fair dice is thrown. Let X denote the random variable whose value is determined by takin
m_a_m_a [10]

Answer:

1-

P(X=1) = 1/36

P(X=2) = 3/36 = 1/12

P(X=3) = 5/36

P(X=4) = 7/36

P(X=5) = 9/36 = ¼

P(X=6) = 11/36

2-

7/36

Step-by-step explanation:

1-

Attached, you will find a table with the possible values of X.

(See table attached)

As we can see, there are 36 entries so,

<em>P(X=1) = 1/36 </em>

<em> </em>

<em>P(X=2) = 3/36 = 1/12 </em>

<em> </em>

<em>P(X=3) = 5/36 </em>

<em> </em>

<em>P(X=4) = 7/36 </em>

<em> </em>

<em>P(X=5) = 9/36 = ¼ </em>

<em> </em>

<em>P(X=6) = 11/36 </em>

2-

It can be noticed that the only possible value of X which is divisible by 4 is 4 and there are 7 entries in the table, so

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At 7:00 a.m., Alicia pours a cup of tea whose temperature is 200°F. The tea starts
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Step-by-step explanation:

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Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

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y = 128 × (0.98821)ˣ + 72

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When the temperature is 172°F we have;

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