1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saul85 [17]
3 years ago
9

What is the length of arc S shown below? Enter an exact expression.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0

Answer:

S = 15π = 47.12

length of arc S = 15π

Attached is the image of the arc.

Step-by-step explanation:

Given;

Radius arc r = 10

Angle at the center of arc ⍉ = 3π/2

The length of the arc S can be derived using the formula;

S = r × ⍉

Substituting the values;

S = 10 × 3π/2

S = 30π/2

S = 15π =  47.12

length of arc S = 15π

You might be interested in
What change(s) should Sylvia make to the equation to find the value of t in the above scenario?
finlep [7]

Answer:

Option (D).

Step-by-step explanation:

Initial population of the deer P_{0} = 4800

Decrease in the population of the deer after every 8 years = \frac{1}{2}\times (\text{Initial population})

Decrease in population is an exponential process, so the expression representing population will be,

P_{t}=P_{0}(1-r)^x

Where P_{t} is the population after 'x' slots of 8 years.

r = fraction of decrease in the population

x = \frac{\text{Number of years}}{8}

By substituting the values of r and x in the expression,

P_{t}=P_{0}(1-\frac{1}{2})^{\frac{t}{8}}

P_{t}=4800(\frac{1}{2})^{\frac{t}{8}}

Therefore, Sylvia should do few corrections in her expression.

(8) should be replaced by (\frac{1}{2}) and \frac{t}{2} should be replaced by \frac{t}{8}.

Option D. will be the answer.

5 0
3 years ago
F(x)=20/4+3e−0.2x
sdas [7]

Answer:

12.6

Step-by-step explanation:

Given the function, F(x)=20/4+3e−0.2x

Where e is an exponential function,

To get f(3), we need to substitute x = 3 into the given function

F(3) = 20/4 + 3e - 0.2(3)

f(3) = 5 + 3e - 0.6

f(3) = 4.4+3e

Substituting the value of e = 2.718

f(3) = 4.4+3(2.718)

f(3) = 12.554

f(3) = 12.6 to the nearest tenth.

8 0
3 years ago
Identify the inverse of f(x)=x^2-9
Reika [66]
A
x=y^2-9
x+9=y^2
square root both sides
+-sqrt(x+9)
7 0
2 years ago
En la escuela Francisco I. Madero de ciudad Delicias, llevaron a cabo el festejo para
REY [17]

Answer:

The number of unsold cakes was 2

Step-by-step explanation:

<u><em>The question in English is</em></u>

In the school Francisco I. Madero of Ciudad Delicias, the celebration was held for  commemorate the arrival of spring, after the parade the stalls were set up  of the kermesse. The first grade group bought 8 cakes and sold 3/4 of the total.

How much of the cake was not sold?

Let

x ----> number of cakes sold

y ----> number of cakes that didn't sell

we know that

The first grade group bought 8 cakes

so

x+y=8 -----> equation A

The first grade group sold 3/4 of the total.

so

x=\frac{3}{4}(x+y) ---> equation B

substitute equation A in equation B

x=\frac{3}{4}(8)=6

Find the value of y

6+y=8

y=2

therefore

The number of unsold cakes was 2

4 0
3 years ago
A watermelon that weights 4 pounds how many kilograms is the watermelon?
timama [110]
1.814 kg is equal to 4 pounds
4 0
3 years ago
Read 2 more answers
Other questions:
  • What fraction is equivalent to 3/5
    15·2 answers
  • if there was a guy that had 100 apples and ok only 1 picket how many buket he need to fig all apples in bucket​
    9·1 answer
  • Select the most SPECIFIC name for this shape
    5·2 answers
  • How can I find the missing value
    9·1 answer
  • 7. Which two equations are equivalent?
    14·1 answer
  • Question 4 of 10
    7·1 answer
  • If a recipe calls fo 2 tbsp how many tsp is that
    15·1 answer
  • The volume of a cube is 2197mm (cubed) what is the length of its side
    11·1 answer
  • Square root of 161 need answer asap ik this has nothing to do with math but being single is pain
    14·1 answer
  • Heather and her friends want to buy tickets to the Harry Styles concert. Each ticket cost 85$ and parking cost 25$. Write an equ
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!