All categories

3 years ago

a circle has a radius with 3. an arc in this circle has a central angle of 20 degrees. what is the length of the arc

1 answer:

8 0

an arc of a circle subtends a central angle of 5pi/6 radians.if the radius of the circle measures 10.6cm, determine the approx measure of the arc leagth

You might be interested in

Which expression and value represents 9 less than the quotient of 18 and 3?

olga55 [171]

Answer:

kinda hard ,

Step-by-step explanation:

6 1

3 years ago

Read 2 more answers

And insurance agent receives 15% of the cost of each insurance policy she sells how much does the agent receive for a policy ths

hammer [34]

In this question there are several important information's provided. Using these information's it is easy to get the answer to the question asked. Firstly it is already informed that the insurance agent gets a commission of 15% of the policy price for every policy sold. The agent sells a policy of $300.

Now we can write the equation as:

15% of $300 = [(15/100) * 300] dollars

= ( 15 * 3) dollars

= 45 dollars

So the agent gets a commission of $45 for selling a policy worth $300

3 0

3 years ago

Read 2 more answers

The hourly wages of a sample of 130 system analysts are given below.

atroni [7]

Answer: b. 30%

Step-by-step explanation:

A measure of relative variability is known as coefficient of variation. It is the ratio of the standard deviation to the mean.

i.e. $CV=\dfrac{\sigma}{\mu}$

Given: mean = $\mu=90$

Variance = $\sigma^2 = 729$

$\sigma=\sqrt{729}=27$

Now, $CV=\dfrac{27}{90}=0.3$

in percent , $CV= 0.3\times100\%= 30\%$

Hence, correct option is b. 30%.

8 0

3 years ago

What is the measure of m?

nata0808 [166]

Answer:

√245

Step-by-step explanation:

altitude on hypotenuse theorem:

m^2=7*35

m^2=245

m=√245

3 0

3 years ago

Okay that it 5^4x-13=125

Novosadov [1.4K]

Answer:

x=86250

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(1/5)^4*x-13-(125)=0

Step by step solution :

STEP

Simplify —

Equation at the end of step

(((—)4) • x) - 13) - 125 = 0

STEP

Equation at the end of step

((—— • x) - 13) - 125 = 0

STEP

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 625 as the denominator :

13 13 • 625

13 = —— = ————————

1 625

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (13 • 625) x - 8125

—————————————— = ————————

625 625

Equation at the end of step

(x - 8125)

—————————— - 125 = 0

625

STEP

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 625 as the denominator :

125 125 • 625

125 = ——— = —————————

1 625

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

(x-8125) - (125 • 625) x - 86250

—————————————————————— = —————————

625 625

Equation at the end of step

x - 86250

————————— = 0

625

STEP

When a fraction equals zero :

5.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-86250

——————— • 625 = 0 • 625

625

Now, on the left hand side, the 625 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-86250 = 0

Solving a Single Variable Equation:

5.2 Solve : x-86250 = 0

Add 86250 to both sides of the equation :

x = 86250

One solution was found :

x = 86250

7 0

3 years ago