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3 years ago

In the figure below, X Z is a diameter of circle A.

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

Answer:

Step-by-step explanation:

If XZ is a diameter is forms a semicircle with it's arc degree half of that of the circle, in other words 180°. That would mean:

m∠ ZAY + m∠ YAX = 180,

( 5w + 4 ) + ( 11w ) = 180,

11w + 5w + 4 = 180,

16w = 176,

w = 11°

Now mYZ is, in other words, m∠ ZAY, so let us solve for m∠ ZAY:

m∠ ZAY = 5w + 4,

m∠ ZAY = 5 * ( 11 ) + 4,

m∠ ZAY = 55 + 4,

m∠ ZAY = 59°,

<em>mYZ = 59°</em>

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2.6 Puzzle time how can you make sure to start a fire with two sticks?

enyata [817]

Answer:

"Make sure one of them is a match"

Step-by-step explanation:

It takes a little practice and above all to generate heat through friction. By raising the temperature of the woods, it is possible to reach the ignition temperature through friction.

Fires require good equipment and good technique. The majority of times it fails is due to a lack of technique and equipment. This can make learning difficult.

For wood selections, you generally want to comply with the following:

Dry Tinder
You should be able to press the wood. If you can't, then it is too difficult.
Wood not very strong but not soft
Not sap in the wood

Make the friction forming a 90 degree angle between them, like a cross. Keep one of the sticks supported on the floor vertically, and the other horizontally rubbing it against it at rapid speed, at intervals.

Under this wood put dry tinder that is able to ignite quickly once you generate the fire.

And for the Puzzle remember the orden of the words:

<h2>Make sure one of them is a match. </h2>

Use tree wood, rub and heat until ignition is generated.

5 0

4 years ago

There are 3 red marbles, 5 green marbles, and 2 blue marbles in a jar. Event A is defined as drawing a red marble from the jar o

Anastaziya [24]

P(B/A) is $\frac{5}{9}$ in the simplest form

Step-by-step explanation:

Let us explain how to solve the problem

P(B|A) is called the "Conditional Probability" of B given A
Conditional probability is the probability of one event occurring with some relationship to one or more other events that means event A has already happened, now what is the chance of event B
The formula for conditional probability is P(B|A) = P(A and B)/P(A), where P(A and B) is P(A) . P(B given A occurred)

∵ There are 3 red marbles, 5 green marbles, and 2 blue

marbles in the jar

∴ The total number of the marbles in the jar = 3 + 5 + 2 = 10

∵ Two marbles are drawn from the bag, one after the other without

replacement

- That means red is already occurred when green is happened,

so it is a "Conditional Probability" of green given red

P(B/A) = P(A and B)/P(A)

∵ Event A is defined as drawing a red marble from the jar on

the first draw

∴ P(A) = P(red)

∵ P(red) = $\frac{3}{10}$

∴ P(A) = $\frac{3}{10}$

∵ Event B is defined as drawing a green marble on the second draw

∴ P(B) = P(green)

- The number of marbles after the red is chosen is 9

∵ P(green) = $\frac{5}{9}$

∴ P(B) = $\frac{5}{9}$

- Find P( A and B)

∴ P(A and B) = ( $\frac{3}{10}$ ) . ( $\frac{5}{9}$ )

∴ P(A and B) = $\frac{15}{90}$

- Simplify the fraction by divide up and down by 15

∴ P(A and B) = $\frac{1}{6}$

∵ P(B|A) = P(A and B)/P(A)

- Substitute the values of P(A and B) and P(A) in the rule above

∴ P(B/A) = $\frac{\frac{1}{6}}{\frac{3}{10}}$

- Simplify the fraction

∵ $\frac{1}{6}$ ÷ $\frac{3}{10}$ = $\frac{1}{6}$ × $\frac{10}{3}$ = $\frac{10}{18}$

- Divide up and down by 2

∴ P(B/A) = $\frac{5}{9}$

P(B/A) is $\frac{5}{9}$ in the simplest form

Learn more:

You can learn more about probability in brainly.com/question/10744457

#LearnwithBrainly

7 0

3 years ago

Read 2 more answers

Twice a number, increased by 3 is the same as five less than four times a number.what is the number?

zzz [600]

Answer:

x = 4, hope this helps!

Step-by-step explanation:

2x + 3 = 4x - 5

-2x -2x

3 = 2x -5

+5 +5

8 = 2x

divide by 2 on both sides

4 = x

switch where the x and 4 is, because teachers seem to like that

x = 4

8 0

4 years ago

Explain how you know that 88 is a solution to the equation 1/8x=11

zhuklara [117]

Rearrange the equation so that x = 11 divided by 1/8
Solve for x (11 divided by 1/8 = 88)

5 0

3 years ago

2(x-3)+3=6x-5 solve it

Westkost [7]

Answer:

X=1/2

Step-by-step explanation:

2(x-3)+3=6x-5

2x-6+3=6x-5

2x-3=6x-5

2x-6x-3=-5

-4x=-5+3= -2

-4x= -2

x= 1/2

5 0

3 years ago