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3 years ago

Lines CD and DE are tangent to circle A shown below: If Arc CE is 112°, what is the measure of ∠CDE? a 124° b 136° c 68° d 56°

Mathematics

1 answer:

Elena-2011 [213]3 years ago

5 0

Answer:

Step-by-step explanation:

The central angle of this is 112 degrees. That is CAE is 112 degrees. That being the case, CDE is 90 + 90 + 112 = 292 Tangents make a 90 degree angle with the center of the circle.

CDE = 360 - 292 = 68

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3 years ago

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grandymaker [24]

Answer:

The probability distribution is Normal continuous

Step-by-step explanation:

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2 years ago

Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body

PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

(a)

Compute the 5-hour decay factor as follows:

$5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042$

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

$A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112$

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

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3 years ago

What is the area of the following shape? Do not put units.

____ [38]

Answer:

Area = 30

Step-by-step explanation:

Add the two sides

8 + 4 = 12

Multiply that number by the height

12 × 5 = 60

Divide that number by 2

60 ÷ 2 = 30

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2 years ago

A student earned grades of C, A, B, and A. Those courses had these corresponding numbers of credit hours: 44, 66, 11, and

asambeis [7]

Answer:

The grade point average of the student is 49.92.

Step-by-step explanation:

A student earned grades : C, A, B, and A

Corresponding numbers of credit hours : 44, 66, 11, and 66

Assigns quality points to letter grades :

A = 4 , B = 3 , C = 2 , D = 1 , F = 0

The grade point average (GPA):

$\frac{\sum (\text{grade point}\times \text{credit hours})}{\sum (\text{grade point})}$

$=\frac{2\times 44+4\times 66+3\times 11+4\times 66}{2+4+3+4}$

$=\frac{649}{13}=49.9230\approx 49.92$

The grade point average of the student is 49.92.

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3 years ago