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
Luda [366]
3 years ago
6

A craftsman is making a dulcimer with the same dimensions as the one shown. The surface shown requires a special, more durable t

ype of finish. Write a polynomial that represents the area to be finished on the dulcimer shown.

Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

Answer:

\displaystyle A=\frac{3h^2}{2}+h

Step-by-step explanation:

<u>Area of trapezoid</u>

Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

\displaystyle A=\frac{b_1+b_2}{2}\cdot h

The dulcimer has the following dimensions

b_1=2h+1

b_2=h+1

and height h

Thus

\displaystyle A=\frac{2h+1+h+1}{2}\cdot h=\frac{3h+2}{2}\cdot h

Operating

\displaystyle A=\frac{3h^2+2h}{2}=\frac{3h^2}{2}+h

\boxed{A=\frac{3h^2}{2}+h}

Is the required polynomial

You might be interested in
Prime factors of 20 i dont know this question
dem82 [27]

Answer:

 2 x 2 x 5,

Step-by-step explanation:

20 = 1 x 20

        2 x 10

        4 x 5

Factors of 20= 1, 2, 4, 5, 10, 20.

Prime factors are = 2 x 2 x 5,

6 0
3 years ago
Read 2 more answers
What are the measures of anglss a, b, and c? Show your work and explain your answers.
alexgriva [62]

A is 40

B is 50

C is 115

Explanation, A is the same as the opposite, A + B + 90 = 180, and C + 65 = 180

4 0
3 years ago
Ken can walk
pentagon [3]

Answer:

Hey.  I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.

Step-by-step explanation:

So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours.  40/8 = 5.  He walks 5 dogs an hour.  Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour.  5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.

7 0
3 years ago
50 POINTS WILL GIVE BRAINIEST. Which of the following numbers are irrational?
Otrada [13]

Answer:

\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}

Step-by-step explanation:

<u>Definitions</u>

Integer: A whole number that can be positive, negative, or zero.

Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).

Irrational Number: A real number that <u>cannot</u> be written as a rational number.

\sf -8.2183 \times 10000=-82183

\implies \sf -8.2183=-\dfrac{82183}{10000}

Therefore, -8.2183 can be expressed as a <u>rational number</u>.

π is an <u>infinite decimal</u>, so it cannot be expressed as a rational number.  

\textsf{Therefore},\:\dfrac{\pi}{3}\:\textsf{is irrational}.

\sqrt[\sf 3]{\sf 25} is an irrational number.

\sf 9+ \sqrt{4}=9+\sqrt{2^2}=9+2=11

As 11 can be expressed as ¹¹/₁ then 9 + √4 is <u>rational</u>.

<u>Conclusion</u>

Therefore, the numbers that are irrational are:

\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}

8 0
1 year ago
Please help I will reward brailiest
sergiy2304 [10]

Answer:

J is the possible answer

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Simplify 7x + 7 + 6x - 9.
    12·2 answers
  • Please help me with all of the work for this equation: -8t-23=-15 thanks:))))
    13·1 answer
  • What is the answer to this in standard form y+4=2/3(x+7)
    13·1 answer
  • The range of the function f(x)=x+5 is (7,9). What is the function's domain?
    13·1 answer
  • A home builder wants to decorate the post at the bottom of a stairway. One way to do this is to glue a square-based pyramid to t
    9·1 answer
  • Which Interval describes where the graph of the function is negative?
    14·1 answer
  • Dave can clean pools at a constant rate of 3/5 pools/hours , What is the ratio of the number of pools to the number of hours?
    8·1 answer
  • Given: QM is the angle bisector of ∠LMP QM is the angle bisector of ∠PQL Prove: LM ≅PQ
    7·2 answers
  • Need help with this question ASAP!
    5·1 answer
  • Using elimination, solve<br><br>-12x + 9y = 7<br>9x ÷ 12y = 6​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!