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2 years ago

AC is tangent to circle O at A. The Diagram is not to scale.

Mathematics

2 answers:

statuscvo [17]2 years ago

7 0

Answer:

B. 64°

Step-by-step explanation:

Given:

mBY = 52°

Inscribed angle measure is half the intercepted arc:

m∠BAY = 1/2(52°) = 26°

The angle between the diameter and tangent is right angle:

m∠BAC = 90°

According to angle addition postulate:

m∠YAC = m∠BAC - m∠BAY
m∠YAC = 90° - 26° = 64°

Correct choice is B

lapo4ka [179]2 years ago

4 0

Answer:

m∠BAY = 1/2(52°) = 26°

m∠BAC = 90°

m∠YAC = m∠BAC - m∠BAY

m∠YAC = 90° - 26° = 64°

OAmalOHopeO

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3 years ago

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Answer:

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2 years ago

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The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is given in seconds and d is mea

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

Given the distance, d(t) of a particle moving in a straight line at any time t is:

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To find an expression for the instantaneous velocity v(t) of the particle at any given point in time, we take the derivative of d(t).

$v(t)=\dfrac{d}{dt}\\\\v(t) =\dfrac{d}{dt}(2t^3 + 5t - 2) =3(2)t^{3-1}+5t^{1-1}\\\\v(t)=6t^2+5$

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3 years ago

I need help on this please!!

marin [14]

Answer:

In fifteen years, Alexis would have 9200. In twenty years she would have 9600

Step-by-step explanation:

10% for interest of 8000= 80.

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2 years ago

Katie’s baby sister drinks 4 ounces of apple juice with breakfast every morning. There was a full gallon of juice on the table.

Vlad1618 [11]

Answer: 112 oz

First we have to work with the same units. According to the International System of Units (SI), the Liter (L) is the unit of measurement for liquids, however, we are going to use the ounce (oz) in this case, as it is the unit of measure of the juice that Katie's baby sister drinks.

In addition:

$1L=33.814 oz$ (1)

$1 pint=0.5L\approx 16 oz$ (2)

$1 gallon=3.78 L\approx 128 oz$ (3)

Knowing this, we can calculate how much of apple juice is left for the baby after Katie drank a portion.

In order to do this, we have to substract the amount of juice Katie drank ( $1 pint\approx 16 oz$ ) to the total amount of juice in the full gallon ( $1 gallon\approx 128 oz$ ):

$128 oz-16 oz=112 oz$

This means that there are $112 oz$ left for Katie’s baby sister.

In addition, taking into account the baby drinks $4 oz$ each day, the $112 oz$ left are equivalent to approximately 28 days.

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2 years ago