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lisabon 2012 [21]
3 years ago
8

In circle A as shown below, segment DC is tangent to circle A at D.

Mathematics
2 answers:
sergiy2304 [10]3 years ago
6 0

Answer:

3 units

Step-by-step explanation:

Let the radius be x

Therefore, using pythagoras Theorem,

{4 {}^{2} +  {x}^{2}  }  = (x + 2) {}^{2} \\ 16 + x {}^{2}   =  {x}^{2}  + 4x + 4 \\ 4x + 4 = 16 \\ 4x = 12 \\ x = 3

Likurg_2 [28]3 years ago
4 0

Answer:

AB = 3

Step-by-step explanation:

AB = AD

AB² + 4² = (AB + 2)²

AB² + 16 = AB² + 4AB + 4

combine like terms:

4AB = 12

AB = 3

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At the movie theatre, child admission is $6.30 and adult admission is $9.60 . On saturday, twice as many adult tickets as child
joja [24]

Let's assume

number of child tickets sold on saturday is x

number of adult tickets sold on saturday is y

On saturday, twice as many adult tickets as child tickets were sold

so, we get

y=2x

child admission is $6.30 and adult admission is $9.60

a total sales of $535.50

we get

6.30x+9.60y=535.50

now, we can plug y=2x

6.30x+9.60*2x=535.50

now, we can solve for x

25.5x=535.5

x=21

now, we can find y

y=2*21

y=42

so,

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42.........Answer


4 0
3 years ago
Use the method from the Example to approximate the solution to the equations below to two decimal places.
STALIN [3.7K]

Answer:

x = 3.85

Step-by-step explanation:

Given equation:

6ˣ = 1,000

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on taking log both sides, we get

⇒ log(6ˣ) = log(1,000)

or

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now we know the property of log function that

log(aᵇ) = b × log(a)

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⇒ x × log(6) = 3log(10)

or

⇒ x × log(2×3) = 3log(10)

now,

we have another property of log function as":

log(A) = log(A) + log(B)

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x × [log(2) + log(3)] = 3log(10)

also,

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log(2) = 0.3010

log(3) = 0.4771

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⇒ x × [0.3010 + 0.4771 ] = 3 × 1

or

⇒ x × 0.7781 = 3

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3 0
3 years ago
Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air
shtirl [24]
The answer is 50 minutes bro
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3 years ago
Factorise<br><br> ax + ay + bx + by
timurjin [86]

Answer:

2axay - 2bxby is the answer

8 0
2 years ago
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The population of a place was 56000. Next 5 years it is expected to rise by 50%. What will be the population in next 5 years?
Anna11 [10]

Answer:

84000 people

Step-by-step explanation:

So next 5 year wil be 56000 + 50%

56000 = 100%

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4 0
2 years ago
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