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
schepotkina [342]
3 years ago
14

Let f be the function that determines the area of a circle (in square cm) that has a radius of r cm. That is, f ( r ) represents

the area of a circle (in square cm) that has a radius of r cm.Use function notation to complete the following tasks
a. Represent the area (in square cm) of a circle whose radius is 4 cm.
b. Represent how much the area (in square cm) of a circle increases by when its radius increases from 10.9 to 10.91 cm.
Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0

Answer:

(a)f(4) square cm.

(b)f(10.91)-f(10.9) Square centimeter.

Step-by-step explanation:

f(r)=the area of a circle (in square cm) that has a radius of r cm.

(a)Area (in square cm) of a circle whose radius is 4 cm.

Since r=4cm

Area of the circle = f(4) square cm.

(b) When the radius of the increases from 10.9 to 10.91 cm.

  • Area of the circle with a radius of 10.91 = f(10.91) square cm.
  • Area of the circle with a radius of 10.9 = f(10.9) square cm.

Change in the Area = f(10.91)-f(10.9) Square centimeter.

You might be interested in
What is the surface area of the cylinder d = 10 h = 7
Anna11 [10]
The answer is 120\pi. Hope I helped!
3 0
3 years ago
Emily needs enough Fabric for 3 1/2 hats. Since she has half a hat done. If each bag requires 1 2/7 ft of Fabric, how much fabri
kow [346]

first off let's convert the mixed fractions to improper fractions.

\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} ~\hfill \stackrel{mixed}{1\frac{2}{7}}\implies \cfrac{1\cdot 7+2}{7}\implies \stackrel{improper}{\cfrac{9}{7}}

she already did half a hat, so we can say   \cfrac{7}{2}-\cfrac{1}{2}\implies \cfrac{7-1}{2}\implies 3

so she only needs enough fabric to make 3 more full hats, we know each one uses 9/7 ft, so

3\cdot \cfrac{9}{7}\implies \cfrac{27}{7}\implies 3\frac{6}{7}

5 0
2 years ago
What are the transformations to this quadratic function y= (x+4) power of 2 - 8
I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.  

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).

The axis of symmetry occurs at <em>x = h</em>.

<em>a</em> =  determines whether the graph opens up or down, and makes the graph wider or narrower.

<em>h</em> = determines how far left or right the parent function is translated.

<em>k</em> = determines how far up or down the parent function is translated.

Going back to your quadratic function,

          y = (x + 4)² - 8

  • The vertex occrs at (-4, -8)
  • a is assumed to have a value of 1.
  • Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.  
  • Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.

Please mark my answers as the Brainliest, if you find this helpful :)

4 0
2 years ago
Find the sum of -2 + 3i and -1- 2i.
blondinia [14]

Answer:

-3+i

Step-by-step explanation:

Collect like terms

-2-1=-3

+3i-2i=i

-3+i

7 0
2 years ago
What is the surface area of the cylinder in term of pi? Radius of 11 and height of 23
snow_tiger [21]

Answer:2349.91

Step-by-step explanation:

A=2πrh+2πr2=2·π·11·23+2·π·112≈2349.9113

8 0
3 years ago
Read 2 more answers
Other questions:
  • Determine the equation for a line perpendicular to y=1/3+4 and has an x-intercept of 2.
    7·2 answers
  • How are the GCF and the LCM alike and diffrent? Please help
    9·1 answer
  • I purchase 3kg of coffee and 2kg of tea for $76. There's a drought in South America causing the price of coffee beans and tea le
    7·1 answer
  • A farmer is comparing the number of eggs laid by two hens. The first hen laid 7 eggs per week for x weeks. The second hen laid 8
    6·1 answer
  • 7. The largest living thing on earth is a California sequoia tree named the “General Sherman”. The diameter of the tree at the b
    8·1 answer
  • Alicia records the total number of points scored in two games by 10 players on her basketball team Which box plot represents the
    9·2 answers
  • Simplify the expression: -6(-x +<br> 3) – 2x.
    6·2 answers
  • What expression does the model show <br> i will give brainliest <br> help asap
    11·1 answer
  • What is the solution to the system graphed below? ​
    12·1 answer
  • Find the 12th term of the geometric sequence 4, 8, 16, ...
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!