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3 years ago

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

Mathematics

2 answers:

statuscvo [17]3 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]3 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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Answer:

Step-by-step explanation:

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3 years ago

During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board? Ex

kotegsom [21]

Answer:

6 black pieces

10 red pieces

Step-by-step explanation:

The way to interpret ratios is like so:

Adding up both parts of the ratio gives 8, i.e. 3 + 5

So for every 8 pieces, 3 are black and 5 are red;

There are 16 pieces, which is 2 × 8;

So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red

So, to solve:

Add all parts of the ratio (3 + 5);

Divide the number of pieces (16) by this sum of ratio parts (8);

Multiply the value from the division (2) by each part of the ratio

Tip:

It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;

If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black

3 0

3 years ago

In the right triangle shown, A= 30° and AB = 8.

zloy xaker [14]

Answer:

$BC=4\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

$sin(30^o)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

we have

$AB=8\ units\\\\sin(30^o)=\frac{1}{2}$

solve for BC

$BC=sin(30^o)(AB)$

substitute the values

$BC=(\frac{1}{2})(8)$

$BC=4\ units$

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3 years ago

A survey of 73 people reported that 32 of them preferred juice to milk.

Gnesinka [82]

About 100. (Im not quite sure)

8 0

3 years ago

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Marcellus sent four faxes to Gem. The first fax took 14 seconds to send, the second fax 19 seconds, the third 16 seconds, and th

Scrat [10]

It took 60 seconds to fax all documents to Gem

Step-by-step explanation:

The simple addition has to be done to solve the given problem

Given

total faxes = 4

Time for fax 1: $t_1 = 14\ sec$

Time for fax 2: $t_2 = 19\ sec$

Time for fax 3: $t_3 = 16\ sec$

Time for fax 4: $t_4 = 11\ sec$

The total time t will be:

$t = t_1+t_2+t_3+t_4\\= 14+19+16+11\\= 60\ sec$

Hence,

It took 60 seconds to fax all documents to Gem

Keywords: Time, addition

Learn more about addition at:

#LearnwithBrainly

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3 years ago

Read 2 more answers