All categories

2 years ago

What is the length of arc S shown below?

Mathematics

1 answer:

blondinia [14]2 years ago

5 0

Answer:

15π or 47.12

Step-by-step explanation:

Given that :

θ = 3π/2

Radius, r = 10

Length of arc S :

Using the relation :

S = rθ ; r = central angle in radian

S = 10 * 3π/2

S = 30π/2

S = 15π or 47.12

You might be interested in

Help please with this question I will mark branliest

faltersainse [42]

Answer:The pictures not that clear

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

For how many minutes did Lynn run at a greater speed than Kael? 12 17 23 28.

Archy [21]

Answer:

28 minutes.

Step-by-step explanation:

We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.

To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.

Therefore, Lynn ran at a greater speed than Kael for 28 minutes.

4 0

2 years ago

Draw a picture that represents 24/6

forsale [732]

You divide 24 and 6 that's the answer

3 0

3 years ago

Read 2 more answers

X^2-x-42= factor as the product of two binomials

azamat

I’m pretty sure it’s (x-7)(x+6)

to factor you need it to multiply to -42 and add to -1 which gives you -7 and 6

5 0

2 years ago

A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

erastovalidia [21]

Answer:

The average yearly salary of the architect is $62,000 and the lawyer is $100,000.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of an architect and a lawyer.

Let the average yearly salary of an architect be $x.$

So, the average yearly salary of the lawyer = $2x-24,000.$

Combined, architect and lawyer earn = $\$210,000.$

Now, to get the average salary of the architect and lawyer:

$x+(2x-24000)=210000$

$x+2x-24000=210000\\\\3x-24000=210000$

Adding both sides 24000 we get:

$3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.$

The average salary of architect = $62,000.

Now, to get the average salary of lawyer by substituting the value of $x$ :

$2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.$

The average salary of lawyer = $100,000.

Therefore, the average yearly salary of the architect is $62,000 and the lawyer is $100,000.

4 0

3 years ago