The diameter of circle C is 18 cm. Chord AD is the same length as a radius. Use this information, the diagram, and your experiences in geometry this semester to answer these questions. a) what are the measures of the angles BDA and DBA?. b) What is the sine of angle DBA? c) Find the length of arc AB to the nearest hundredth. d) How does the length of arc AD compare to the length of arc AB? e) If FE = 1/2 BD, then what is the degree measure of arc EF?

Answers

Answer 1
Answer: A ) ∠ BDA = 60°
∠DBA = 30°
B ) sin (∠DBA ) = sin 30° = 1/2
C ) arc AB = 1/3 · 2 r π = 1/3 · 18 π = 6 π = 6 · 3.14 = 18.84 cm
D ) arc AD : arc AB = 1 : 2
E ) Degree measure of an arc is equal to the measure of the central angle that intercepts the arc. The degree measure is 60° ( F E = 9 cm, r = 9 cm ). 

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Multiply.

5/6 x 18 =

Answers

The fraction 5/6 multiplied by 18 equals 15.

To multiply fractions, you can multiply the numerators (the numbers on top) together and the denominators (the numbers on the bottom) together.

In this case, we have:

(5/6) x 18 = (5 x 18) / 6

Multiplying the numerators and the denominators:

= 90 / 6

Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 6):

= 15

So, 5/6 multiplied by 18 equals 15.

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5/6 x 18 = (5 x 18 = 90) 90/6 = 15
You multiply 5 and 18 because they are in the numerator place.

HOPE THIS HELPS!!!!

Which logarithmic equation is equivalent to this exponential equation? 6^x=216

Answers

Answer:

log 6 216 = x

Step-by-step explanation:

log 6 216 = x

Luke puts $500 into a savings account that earns 6% simple interest each year. How much money will be in the account after 3 years

Answers

9514 1404 393

Answer:

  $590

Step-by-step explanation:

The account balance is given by ...

  A = P(1 +rt) . . . . simple interest rate r for t years

  A = $500(1 +0.06×3) = $590

There will be $590 in the account after 3 years.

Answer:

= $90

Step-by-step explanation:

I = prt

I = 500 x 0.06 x 3

I = $90

How do i simplify -3x-15?

Answers

Answer:

45

Step-by-step explanation:

-3 * -15

Cancel the negative signs on both sides.

3 * 15

Evaluate.

=45

Answer: -x-5

Step-by-step explanation:

-3x-15 . Both 3 and 15 are variables of 3, this means they can both be divided by 3. -3/3= -1 and -15/3=-5. So -1x-5, or -x-5

Hope this helped! :)

What is the solution to the proportion? Round the answer to the nearest tenth if necessary. StartFraction 52 over x EndFraction = StartFraction 9.5 over 3.25 EndFraction x = 14.6 x = 17.8 x = 157.8 x = 169.0

Answers

The solution to the proportion would be x = 17.8 which is the correct option (B).

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been the given proportion as:

⇒ 52 : x = 9.5 : 3.25

⇒ 52/x = 9.5/3.25

⇒ 52/x = 2.923

Cross multiplication, and we get

⇒ x = 52/2.923

Apply the division operation,

⇒ x = 17.8

Therefore, the solution to the proportion would be x = 17.8.

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Answer: 17.8

Step-by-step explanation:

A ceiling fan has 20
-inch blades (so the radius of the circular fan is
20
inches). Suppose the linear speed of the tip of a blade is
10
feet per second.

Answers


OK.  Got it !  So the fan is spinning at about 57.296 revolutions per minute.

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