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
Archy [21]
3 years ago
7

A circular plate has circumference 32 inches. What is the area of this​ plate? Use 3.14 for pi. The area of this plate is about

nothing square inches.
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

Answer:

A = 82.53 in²

Step-by-step explanation:

We use the circumference equation C = 2πr and the area equation A = πr².

Using the first equation and the given circumference (32 in), we find the radius of the circle, and then use this result to find the area of the circle.

         

                                         C                            32 in

C = 2πr becomes r = ----------- and here r = ---------- = 5.10 in

                                        2π                            6.28

Then the area of the circle is A = πr², which here is A = 3.14(5.10 in)², which, when rounded off to two decimal places, is A = 82.53 in²

You might be interested in
8(1/2n+3/4)=70 solve for n
nasty-shy [4]

Answer:

n = 16

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil
katovenus [111]

Answer:

  • <u>The rate of return is 8.15%</u>
  • <u>This is a good investment</u>

<u></u>

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

      Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]

In your problem you know:

  • Present value: $100,000
  • payment: $15,000
  • r: ?
  • t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

       \$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0
3 years ago
The area of a shape is 100cm2 what is the area if the shape is dialated with a scale factor of 1/5
Sveta_85 [38]

Answer:

20cm squared

Step-by-step explanation:

8 0
3 years ago
A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;
nevsk [136]
\bf slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby &#10;\begin{array}{llll}&#10;average\ rate\\&#10;of\ change&#10;\end{array}\\\\&#10;-------------------------------

\bf f(x)= 4x^2  \qquad &#10;\begin{cases}&#10;x_1=3\\&#10;x_2=3+h&#10;\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}&#10;\\\\\\&#10;\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}&#10;\\\\\\&#10;\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}&#10;\\\\\\&#10;\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h
8 0
3 years ago
A triangle with sides of lengths 16, 63, and 65 is a right triangle.
malfutka [58]
False I think it doesn't add up to 18
3 0
3 years ago
Other questions:
  • Which expression is equal to sec x° multiplied by cot x°?
    12·2 answers
  • 20% of Desiree's math test problems consisted of word problems. 30% of Everett's math test problems consisted of word problems.
    14·2 answers
  • If alpha and beta be 2 distinct roots satisfying equation a cos theta+bsin theta=c,Show that cos (alpha+beta)=(a^2-b^2)/(a^2+b^2
    14·1 answer
  • Delaney would like to make a 10 lb nut mixture that is 60% peanuts and and 40% almonds. She has several pounds of peanuts and se
    6·1 answer
  • Suppose y varies directly with x. write an equation relating x and y. y=7 when x=42
    7·1 answer
  • RECTANGLE ABCD has vertices A(-5,2) B(-5,4) C(4,4) D(4,2) calculate the area.
    8·1 answer
  • I’ll give brainliest
    11·2 answers
  • BRAINLIEST AND 40 POINTS PLZ HELP I NEVER GET HELP
    9·2 answers
  • Please answer this 2 question​
    10·1 answer
  • Giving brainiest.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!