Ask question

Ask question

All categories

3 years ago

14

How do you find the arc length in a circle given any angle?

1 answer:

Nataly_w [17]3 years ago

8 0

You find the circumference and multiply it by the central angle. If the central angle is in degrees, you divide that by 360. If the central angle is in radians, you divide by 2pi.

You might be interested in

a right triangle is removed from a rectangle to create the shaded region shown below. find the area of the shaded region. be sur

ser-zykov [4K]

Answer:

36

Step-by-step explanation:

Objective: Find missing dimensions of the right triangle using the then subtract that area of the triangle from the rectangle's area.

Using the definition of a rectangle, the left vertical side measure is 7 and right vertical side is 6. So the missing legs of the triangle is 4 and 3.

Apply triangle formula, base x height divided by 2.

$\frac{4 \times 3}{2} = 6$

Area of rectangle is length x width so the area is

$7 \times 6 = 42$

Subtract 6 from 42.

$42 - 6 = 36$

3 0

2 years ago

A recipe calls for 2 cups of flour of flour to make 3 dozen cookies. Is 3 cups of flour enough to make 60 cookies?

Alex787 [66]

Answer:

no it is not

Step-by-step explanation:

it would be 54

8 0

3 years ago

Read 2 more answers

In a recent year,23.6% of all registered doctors were females. If there were 48,700 female registered doctors that year, what wa

Burka [1]

0.236d = 48700

d = 48700/0.236

d = 206355.932

Around 206,356 doctors.

6 0

3 years ago

Read 2 more answers

What is the runner’s average rate of change between the hours: 0.5 and 2? mph 1.5 and 2.5? mph Average Rate of Change

lana [24]

Answer:

0.5 and 2?

4

mph

1.5 and 2.5?

5

mph

Base on these results, the runner ran at a rate between 0.5 and 2 hours than between 1.5 and 2.5 hours.

slower

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Write an explicit rule in function form for the sequence represented by the given terms.

hram777 [196]

Answer:

The general relation about a geoemtric sequence is

$a_{n}=a_{1}r^{n-1}$

For the first sequence, we have

$3=a_{1}r^{5-1}$

$147=a_{1}r^{7-1}$

Which is a system of equations. We can isolate a variable in the first equation to replace that expression into the second equation.

$a_{1}=\frac{3}{r^{4} }$

$147=\frac{3}{r^{4} }r^{6}$

$r^{2}=\frac{147}{3}\\ r=\sqrt[2]{49}\\r=7$

Now, we replace this value to find the other one

$3=a_{1}(7)^{4}\\ a_{1}=\frac{3}{2401}$

Therefore, the explicit rule function is

$a_{n}=\frac{3}{2401} \times (7)^{n-1}$

Now, we use the same process for the second sequence.

$10=a_{1}r^{3-1} \\a_{1}=\frac{10}{r^{2} }$

The second equation is

$1440=a_{1}r^{5-1}\\a_{1}=\frac{1440}{r^{4} }$

Now, we solve the following expression

$\frac{10}{r^{2} }=\frac{1440}{r^{4} }$

We solve for $r$

$\frac{r^{4} }{r^{2} }=\frac{1440}{10}\\r^{2}=144\\ r=\sqrt{144} \\r=12$

Then

$a_{1}=\frac{10}{(12)^{2} } =\frac{10}{144}=\frac{5}{72}$

Therefore, the function that models the second sequence is

$a_{n}=\frac{5}{72} \times (12)^{n-1}$

Notice that $a_{n}$ is the dependent variable and $n$ is the independent variable.

5 0

3 years ago