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
bearhunter [10]
3 years ago
9

The cost of painting the circular traffic sign shown below is $3.50 per square foot. How much to the nearest dollar, will it cos

t to paint the sign if its diameter measures 36 inches?
Mathematics
1 answer:
sattari [20]3 years ago
4 0

Answer:

Use conversion:

1 square foot = 144 square inches.

As per the statement:

The cost of painting a circular traffic sign is $3.50 per square foot.

⇒Cost of painting a traffic sign = $0.025 square inches.

It is also given that: Diameter measures 36 inches.

Area of a circle is given by:

A = \pi r^2

where r is the radius of the circle.

Diameter = 2r

⇒36 = 2r

Divide both sides by 2 we get;

r = 18 inches

then;

A = \pi (18)^2 = 3.14 \cdot 324 = 1,017.36 square inches.

1 square inches  = $0.025

then;

In 1,017.36 square inches = 0.025 \cdot 1,017.36 = \$24.7275

Therefore, $25 ( to the nearest dollar) will it cost to paint the sign if its diameter measure 36 inches.



You might be interested in
Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in packages of 4 and lizard lures in p
tatuchka [14]

Answer:

Marion bought 6  frog lures and 8 lizard fishing lures.

Step-by-step explanation:

Let f represent frog lures and l represent lizard lures.


The total packages Marion bought is

f+l=14...eqn1


If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

4f+6l=72...eqn2


We make f the subject in equation 1 and put it into equation 2 to get;

f=14-l...eqn3


We put equation 3 into equation 2 to get;

4(14-l)+6l=72


\Righttarrow 2(14-l)+3l=36


We expand the bracket to get;

28-2l+3l=36


-2l+3l=36-28


l=8


We put l=8 into equation 3 to get;

f=14-8


f=6

Therefore Marion bought 6  frog lures and 8 lizard fishing lures.


6 0
3 years ago
Just want to check to make sure this is right. I got 81 as the average so D seemed right.
sergiy2304 [10]
Im not 100% sure but im pretty sure you are right brother! God bless...Good luck!
6 0
3 years ago
A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of X
Zinaida [17]

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

7 0
2 years ago
This equation has one solution.<br> 5(r–1) + 3r =7(r + 1)<br> What is the solution?
Nadusha1986 [10]

Answer:

R=12 is the solution

I don't know how to explain but it needs to be 20 characters

4 0
3 years ago
Find the missing side lengths. Leave your answer as radicals in simplest form.
timurjin [86]

Answer:

Solution given:

b=9 base side of isosceles triangle

a=\sqrt{9²+9²}=9\sqrt{2}

8 0
2 years ago
Read 2 more answers
Other questions:
  • 2x/7=15/22 Where do I start? I am stuck!
    8·1 answer
  • Name the property the equation illustrates.<br><br> 7 + (4 + 4) = (7 + 4) + 4
    5·1 answer
  • Using the triangle below, what is Cos A?
    13·2 answers
  • A hot air ballon travels 18 miles in 3 hours at this rate how many miles will the hot air ballon travel
    9·1 answer
  • Trigonometry please help thank youuuu
    10·1 answer
  • What is the answer to this question?
    5·2 answers
  • X + 2y = 6<br> (3x + 8y = 4
    13·1 answer
  • Please help! will give brainliest!
    6·2 answers
  • Which expression represents the difference quotient of the function f (x) = negative StartRoot 2 x EndRoot?
    6·2 answers
  • For questions 20 through 23, use the graph below.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!